ATMA 2021 Question Paper with Answer Key PDFs (July 21)

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Ratnam Agarwal

Content Writer| Mechanical Engineer| Engineering Specialist

ATMA 2021 Question paper with answer key pdf conducted on July 21, 2021 is available for download. The exam was successfully organized by Association of Indian Management Institutes (AIMS). The question paper comprised a total of 180 questions.

ATMA 2021 Question Paper with Answer Key PDFs

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Question 1:

Shazo solves 5 questions per minute and starts solving at 2 pm. Razo solves 6 questions per minute and starts solving at 2.15 pm, the same day. When would they have solved the same number of questions?

  • (a) 3.40 pm
  • (b) 3.35 pm
  • (c) 3.45 pm
  • (d) 3.30 pm
Correct Answer:(d) 3.30 pm
View Solution

Question 2:

A container has 75% milk and 25% water. If I add 2 litres of water, then there will be equal amount of milk and water in the container. What is the amount of milk present in the container?

  • (a) 5 litres
  • (b) 3 litres
  • (c) 6 litres
  • (d) 4 litres
Correct Answer:(b) 3 litres
View Solution

Question 3:

How many triangles are there in the given figure?

  • (a) 7
  • (b) 9
  • (c) 6
  • (d) 5
Correct Answer:(b) 9
View Solution

Question 4:

Read the information given below and answer the question that follows:

4 exams are to be conducted on four days from Monday till Thursday. The exams to be conducted are English, Mathematics, Physics, and Biology.

Neither English nor Physics is to be conducted on Thursday.
Neither Physics nor Mathematics is to be conducted on Tuesday.
There are 3 exams conducted after Biology.


Physics exam is conducted on:

  • (a) Monday
  • (b) Wednesday
  • (c) Thursday
  • (d) Tuesday
Correct Answer:(b) Wednesday
View Solution

Question 5:

Which is the next letter in the given alphanumeric series?
\[ B, 25, D, 23, G, 19, K, 13, ? \]

  • (a) L
  • (b) P
  • (c) N
  • (d) Q
Correct Answer:(b) P
View Solution

Question 6:

How many people are there in the group, if it is known that while standing in a straight line A and E are at the ends and there are 3 people in between them?

  • (a) 4
  • (b) 7
  • (c) 2
  • (d) 5
Correct Answer:(d) 5
View Solution

Question 7:

Assuming the given statement to be true, select the correct inference from the options.
Statement: Arun will go to the park on even dates.
Inference: Arun will go to the park on the last day of February.

  • (a) Uncertain
  • (b) FALSE
  • (c) Irrelevant
  • (d) TRUE
Correct Answer:(a) Uncertain
View Solution

Question 8:

What is the difference between the number of circles that are outside the rectangle and the number of circles that are inside the rectangle?

  • (a) Two
  • (b) Three
  • (c) Five
  • (d) Four
Correct Answer:(b) Three
View Solution

Question 9:

Given below a statement followed by 2 inferences. Choose the inference that can be inferred from the given statement by selecting the right option.
Statement: Due to the rapid increase in the pandemic, most of the states are locked down.
Inferences:

I. The pandemic is dangerous.
II. The pandemic will spread rapidly.

  • (a) Both inferences I and II follow
  • (b) Neither inference I nor inference II follows
  • (c) Only inference I follows
  • (d) Only inference II follows
Correct Answer:(a) Both inferences I and II follow
View Solution

Question 10:

Given below a statement followed by 2 inferences. Choose the inference that can be inferred from the given statement by selecting the right option.
Statement: Out of 20 students in a class, 15 passed in English and 18 passed in mathematics.
Inferences:

I. There are a few students who passed in both subjects.
II. No student failed in both subjects.

  • (a) Both inferences I and II follow
  • (b) Only inference I follows
  • (c) Only inference II follows
  • (d) Neither inference I nor inference II follows
Correct Answer:(b) Only inference I follows
View Solution

Question 11:

Johny introduced Selvia as the mother of his sister's brother. How is Selvia related to Johny?

Correct Answer: (c) Mother
View Solution

Question 12:

Given below are 2 statements followed by 2 conclusions. Choose the conclusion/conclusions that follow(s) the given statements by selecting the right option.

Statements:
I. All A is B
II. Some C is A
Conclusions:
I. Some C is B
II. All C is B

Correct Answer: (d) Only conclusion I follows
View Solution

Question 13:

Select one of the following four options that will make the 2nd pair analogous to the 1st pair given:

BAR : RAB :: CAR : ?

Correct Answer: (c) RAC
View Solution

Question 14:

Which is the next number in the series given below?

2, 4, 10, 30, 105, 420, ?

Correct Answer: (c) 1890
View Solution

Question 15:

I am looking at the photo of my mother's mother-in-law. How is my father related to the person in the photo?

Correct Answer: (c) Son
View Solution

Question 16:

Given below a question followed by 2 statements. Choose the statement/statements required to answer the question by selecting a right option.

Question: How many days are there in the month X?

Statements:
I. Month X has more than 28 days

II. Number of days in the month X is a prime number

Correct Answer: (a) The question can't be answered even by using both the statements
View Solution

Question 17:

There are 4 words given below. 3 of them are similar and can be classified into a group. Which of these words form a group?

1) Mobile phones

2) Laptops

3) Television

4) Transformer

Correct Answer: (a) 1, 2 and 3
View Solution

Question 18:

In a row of students, Stephen is sitting 3rd to the left of Robert. If Robert is 10th from the leftmost end and 6th from the rightmost end, then what is the position of Stephen from the rightmost end?

(a) 8th
(b) 9th
(c) 7th
(d) 6th

Correct Answer: (b) 9th
View Solution

Question 19:

Which figure replaces the question mark in the given figure series?

Correct Answer: (b)
View Solution

Question 20:

Given below an image followed by 4 options. Which of these options fit in the blank part of the image?
(a) A
(b) B
(c) C
(d) D

Correct Answer: (c) A
View Solution

Question 21:

Assuming the statement given in the question to be true, point out the inference as one of the following:
(a) True
(b) False
(c) Uncertain
(d) Irrelevant

Correct Answer: (c) Uncertain
View Solution

Question 22:

In three of the options, the 2nd number is related to the 1st number in a similar logical way. Which is the odd one out?

(a) 36 - 9

(b) 24 - 6
(c) 42 - 8
(d) 27 - 9

Correct Answer: (c) 42 - 8
View Solution

Question 23:

Assuming the statement given in the question to be true, point out the inference as one of the following:
(a) True
(b) False
(c) Uncertain
(d) Irrelevant

Correct Answer: (c) Uncertain
View Solution

Question 24:

In a certain code language, TYNOP is coded as !@\#
( %\ . How is PONTY coded in that language?
(a) $ @ !%
(b) % $ #!@
(c) # $ @@
(d) !!@ # $

Correct Answer: (b) %
) \#!@
View Solution

Question 25:

In a certain code language, the word "PENCIL" is coded as "CEILNP". How is the word "MOBILE" coded in that language?
(a) OBELIM
(b) BEILMO
(c) LOBMEI
(d) BOMLEI

Correct Answer: (b) BEILMO
View Solution

Question 26:

There are 4 words given below. 3 of them are similar and can be classified into a group. Which of these words form a group?

1) Sector

2) Chord

3) Diagonal

4) Diameter

Correct Answer: (b) 1, 2 and 4
View Solution

Question 27:

Select one of the following four options that will make the 2nd pair analogous to the 1st pair given.

West : North-West :: South-West : ?
(a) North
(b) East
(c) West
(d) South

Correct Answer: (c) West
View Solution

Question 28:

What is the next number in the series given below?

3, 5, 5, 3, 7, 1, ?
(a) 6
(b) 12
(c) 9
(d) 8

Correct Answer: (c) 9
View Solution

Question 29:

How many triangles are there in the given figure?

Correct Answer: (d) 5
View Solution

Question 30:

In a certain code language, TOY is coded as !@ \#, BOY is coded as @
( \#, and BOT is coded as @
) !. What is the code of BOTY?

Correct Answer: (b)
( @ \#!
View Solution

Question 31:

What is the approximate distance traveled by Max if he moves at 5 kmph for 120 minutes with two halts of 10 minutes each in between?
(a) 9.16 kms
(b) 12.25 kms
(c) 10.25 kms
(d) 8.33 kms

Correct Answer: (d) 8.33 kms
View Solution

Question 32:

What is the maximum number of common points a square and a rectangle can have when they intersect each other?
(a) 4
(b) 10
(c) 6
(d) 8

Correct Answer: (d) 8
View Solution

Question 33:

Given below a question followed by 2 statements. Choose the statement/statements required to answer the question by selecting the right option.

Question: How many chocolates does Rohan have?

Statements:
I. Rohan has 30% of the number of chocolates that Vishal has.

II. The total number of chocolates with Rohan and Vishal is 65.

Correct Answer: (d) Both statements I and II together are sufficient
View Solution

Question 34:

Ram's mother's sister is Vikram's father's wife. How is Vikram related to Ram?
(a) Brother
(b) Cousin
(c) Father
(d) Uncle

Correct Answer: (b) Cousin
View Solution

Question 35:

What would be the first term of the following number series that will have four different digits: 77, 80, 85, 88, 93, 96, 101, ....?
(a) 1042
(b) 1032
(c) 1024
(d) 1034

Correct Answer: (c) 1024
View Solution

Question 36:

In a class of 120 students, 40% are females and the rest are males. 50% of the female students passed an entrance exam. If the total number of students who passed the exam is 72, then what percentage of the male students passed the exam?
(a) 33.33%
(b) 66.66%
(c) 16.66%
(d) 52.25%

Correct Answer: (b) 66.66%
View Solution

Question 37:

Given below a statement followed by 2 inferences. Choose the inference that can be inferred from the given statement by selecting the right option.

Statement: The market share of the mobile company "X" has increased from 3% to 9% from the year 2018 to 2019 and more mobiles are sold overall in the year 2019.

Inferences:
I. Mobile company X has sold more mobiles in the year 2019 as compared to 2018.

II. The sales of mobile company X is tripled from the year 2018 to 2019.

Correct Answer: (c) Only inference I follows
View Solution

Question 38:

Given below a question followed by 2 statements. Choose the statement/statements required to answer the question by selecting the right option.

Question: Is X an even number?

Statements:
I. X is the smallest prime number.

II. X is less than 5.

Correct Answer: (d) Statement I alone is sufficient but statement II alone is insufficient
View Solution

Question 39:

Given below a statement followed by 2 inferences. Choose the inference that can be inferred from the given statement by selecting the right option.

Statement: A mango farm has 100 trees and the average mango production from each tree is 1200.

Inferences:
I. There is no mango tree whose mango production is less than 1200.

II. Mango farming is more beneficial than any other kind of farming.

Correct Answer: (a) Neither inference I nor inference II follows
View Solution

Question 40:

In three of the options, the 2nd word is related to the 1st word in a similar logical way. Which is the odd one out?
(a) GATE - AEGT
(b) BAT - ABT
(c) CATCH - ACCTH
(d) BALL - ABLL

Correct Answer: (c) CATCH - ACCTH
View Solution

Question 41:

R's only brother's only sister's husband is the father of M. If R has only one sibling, then what could be the relation of M with R?
(a) Son
(b) Aunt
(c) Mother
(d) Sister

Correct Answer: (a) Son
View Solution

Question 42:

How many more rectangles are there in the 1st figure as compared to the 2nd figure?
(a) Five
(b) Four
(c) Six
(d) Three

Correct Answer: (c) Six
View Solution

Question 43:

Select one of the following four options that will make the 2nd pair analogous to the 1st pair given:

BART : ABTR :: CART : ?
(a) TCRA
(b) CRTA
(c) TRCA
(d) ACTR

Correct Answer: (d) ACTR
View Solution

Question 44:

There are 4 words given below. 3 of them are similar and can be classified into a group. Which of these words form a group?

1) Acceleration

2) Deceleration

3) Speed

4) Velocity

Correct Answer: (d) 1, 2 and 4
View Solution

Question 45:

In a certain code language, POETRY is coded as FPQZSU. How is MAGLEV coded in that language?
(a) WFMHNB
(b) HBNWFM
(c) WFMHBN
(d) NBHMFW

Correct Answer: (b) HBNWFM
View Solution

Question 46:

How many rectangles are there in the given figure?
(a) 4
(b) 5
(c) 7

(d) 3

Correct Answer: (b) 5
View Solution

Question 47:

There are 4 blood relations given below. 3 of them are similar and can be classified into a group. Which of these blood relations form a group?

1) Father's mother

2) Sister's father's wife

3) Paternal grandfather's only daughter-in-law

4) Brother's wife's mother-in-law

Correct Answer: (b) 2, 3 and 4
View Solution

Question 48:

Based on the information given, answer the question below.

There are 7 people standing in a row. Their arrangement is as follows.

1) Andrew is at the leftmost end.

2) There are 3 people in between Carry and Garry.

3) Boom is between Andrew and Carry.

Who is standing at the rightmost end?

Correct Answer: (d) Garry
View Solution

Question 49:

Which figure replaces the question mark in the given figure series?

Correct Answer: (b)
View Solution

Question 50:

Which figure replaces the question mark in the given figure series?
(a) Figure a
(b) Figure b
(c) Figure c
(d) Figure d

Correct Answer: (c) Figure c
View Solution

Question 51:

Assuming the given statement to be true, select inference as one of the options.

Statement: Alexa goes to the market every alternate day and she went to the market yesterday.

Inference: She goes to the market 4 times a week.

Correct Answer: (c) TRUE
View Solution

Question 52:

In three of the options, the 2nd number is related to the 1st number in a similar logical way. Which is the odd one out?
(a) 4, 125
(b) 3, 27
(c) 6, 216
(d) 2, 8

Correct Answer: (a) 4, 125
View Solution

Question 53:

Given below a statement followed by 2 inferences. Choose the inference that can be inferred from the given statement by selecting the right option.

Statement: More than 95% of the people working in "Tel Aviv" know martial art.

Inferences:
I. 5% of the people working in "Tel Aviv" know something other than martial art.

II. Less than 5% of the people working in "Tel Aviv" don't know martial art.

Correct Answer: (a) Only inference II follows
View Solution

Question 54:

Read the information given below and answer the question that follows.
In a certain code language, some of the sentences are coded as below:

"we had fun" is coded as "lak mak nak".

"we have brain" is coded as "mak chak sake".

"have some fun" is coded as "chak tek nak".

What is the code for the word "some"?

Correct Answer: (b) tek
View Solution

Question 55:

Given below are 2 statements followed by 2 conclusions. Choose the conclusion/conclusions that follow(s) the given statements by selecting the right option.

Statements:

I. Some bottles are bags.
II. All bags are pencils.


Conclusions:

I. No bottle is a pencil.
II. Some bottles are pencils.

Correct Answer: (d) Only conclusion II follows
View Solution

Question 56:

Given below is an image followed by 4 options. Which of these options fits in the blank part of the image?
(a) Figure A
(b) Figure B
(c) Figure C
(d) Figure D

Correct Answer:(d) Figure D
View Solution

Question 57:

Select one of the following four options that will make the 2nd pair analogous to the 1st pair given.

BIOS : ZJPMPHC :: CHEMISTRY : ?
(a) ZIFNJTUSD
(b) ZFINTJSD
(c) ZEMHIJDSU
(d) ZFDSUITNM

Correct Answer: (a) ZIFNJTUSD
View Solution

Question 58:

Which is the next number in the series given below?

12, 98, 24, 49, 48, 24.5, ?

 

(a) 96
(b) 86

(c) 24
(d) 49

Correct Answer: (a) 96
View Solution

Question 59:

Given below a question followed by 2 statements. Choose the statement/statements required to answer the question by selecting the right option.

Question: How many child/children is/are there in the park?

Statements:

I. Park has less than 3 children.
II. Number of children in the park is odd.

Correct Answer: (a) Both statements I and II together are sufficient
View Solution

Question 60:

Given below are 2 statements followed by 2 conclusions. Choose the conclusion/conclusions that follow(s) the given statements by selecting the right option.

Statements:

I. All cakes are ice cream.
II. No ice cream is chocolate.


Conclusions:

I. Some cakes are chocolates.
II. No cake is chocolate.

Correct Answer: (b) Only conclusion II follows
View Solution

Question 61:

The price of high-grade milk is Rs. 40 per litre and that of low-grade milk is Rs. 30 per litre. In what ratio should they be mixed so that the resultant mixture has a price of Rs. 36 per litre?
(a) 3:2
(b) 5:4
(c) 4:3
(d) 2:1

Correct Answer:(a) 3:2
View Solution

Question 62:

The cost price of an item is Rs. 150. If Harish gives a discount of 20% on the marked price of the item, then there is no profit and no loss. What is the marked price of the item?
(a) Rs. 187.5
(b) Rs. 175
(c) Rs. 200
(d) Rs. 192.5

Correct Answer: (a) Rs. 187.5
View Solution

Question 63:

What will be the last digit of the expansion of \( 237^{937} \)?
(a) 1
(b) 9
(c) 3
(d) 7

Correct Answer: (d) 7
View Solution

Question 64:

The ratio of length and breadth of a rectangle is 3:2. If its area is 2400 square cm, then what is its perimeter (in cms)?
(a) 180
(b) 220
(c) 200
(d) 240

Correct Answer: (c) 200
View Solution

Question 65:

If the interest earned on a sum of money invested for 3 years at the annual interest rate of 10% compounded annually is Rs. 14,895, then what is the sum of money invested?
(a) Rs. 45,000
(b) Rs. 42,500
(c) Rs. 36,000
(d) Rs. 48,000

Correct Answer: (a) Rs. 45,000
View Solution

Question 66:

What will be the value of 12% of 18% of Rs. 1,90,000?
(a) 4,053
(b) 4,155
(c) 4,002
(d) 4,104

Correct Answer: (d) 4,104
View Solution

Question 67:

What will be the remainder left when \( 10368^{23} \) is divided by 5?
(a) 4
(b) 2
(c) 3
(d) 1

Correct Answer: (b) 2
View Solution

Question 68:

Fifty percent of a number P is 12 more than 60 percent of a number Q. If \( P + Q = 156 \), then what would be the value of 75 percent of P?
(a) 48
(b) 72
(c) 42
(d) 96

Correct Answer: (b) 72
View Solution

Question 69:

The salary of Manu is half of that of Tanu. If Manu's salary increases by Rs. 3,000 and Tanu's salary decreases by 20%, then Manu's salary would be 68.75% of Tanu's salary. What is the salary of Tanu?
(a) Rs.1,20,000
(b) Rs.45,000
(c) Rs.90,000
(d) Rs.60,000

Correct Answer: (d) Rs.60,000
View Solution

Question 70:

If \( + \) means \( \div \), \( - \) means \( + \), \( \div \) means \( \times \), and \( \times \) means \( - \), then what will be the value of \( (78 \, \times \, 45) + 3 - 45 \div 68 \, \times \, 13 \)?
(a) 3548
(b) 2568
(c) 4038
(d) 3058

Correct Answer:(d) 3058
View Solution

Question 71:

What is the average of the first five perfect squares ending in 6?
(a) 368
(b) 332
(c) 216
(d) 426

Correct Answer: (c) 216
View Solution

Question 72:

The cost of a rectangular glass piece is directly proportional to its length and inversely proportional to its width. If its length is increased by 40%, then by what percentage should its width be decreased so that its cost becomes twice?
 

(a) 25
(b) 30
(c) 24

(d) 20

Correct Answer: (b) 30
View Solution

Question 73:

What is the value of \( 0.6 \times 0.06 \times 6 \times 60 \)?
(a) 129.96
(b) 0.1296
(c) 1.296
(d) 12.96

Correct Answer: (d) 12.96
View Solution

Question 74:

If \( + \) means \( \times \) and \( - \) means \( + \), then what will be the value of \( 56 + 20 - 19 \)?
(a) 930
(b) 491
(c) 1139
(d) 728

Correct Answer: (c) 1139
View Solution

Question 75:

Rohan covered a distance of 30 km at a speed of 40 km/hr. He further traveled 60 km in 1 hour and 15 minutes. For how much time did he travel in total?
(a) 120 minutes
(b) 105 minutes
(c) 155 minutes
(d) 100 minutes

Correct Answer: (a) 120 minutes
View Solution

Question 76:

If a sum of Rs. 40,000 is invested at compound interest for 2 years at the annual interest rate of 20%, then what is the interest earned?
(a) Rs. 15,200
(b) Rs. 17,600
(c) Rs. 16,400
(d) Rs. 18,800

Correct Answer: (b) Rs. 17,600
View Solution

Question 77:

Ginny works twice as fast as Sunny. If Ginny takes 3 hours to finish a work, then how much time will Sunny and Ginny together take to finish a work twice as large?
(a) 2 hours
(b) 4 hours
(c) 2.5 hours
(d) 3.5 hours

Correct Answer: (b) 4 hours
View Solution

Question 78:

If P, Q, and R work together, they take 12 days to complete the work. However, if only P and R work, they take 20 days to complete the work. A schedule is made such that P and R work every day, while Q joins them only on alternate days i.e. on 1st, 3rd, 5th, 7th, ... days. On which day will the work be completed?
(a) 15th
(b) 14th
(c) 13th
(d) 17th

Correct Answer: (a) 15th
View Solution

Question 79:

What will be the remainder left when \( 2^{68} + 3^{68} \) is divided by 97?
(a) 0
(b) 96
(c) 42
(d) 1

Correct Answer: (a) 0
View Solution

Question 80:

The marked price of an item is Rs.120. If it is sold at a 10% discount, the profit earned is 20%. What is the cost price of the item?
(a) Rs.84
(b) Rs.90
(c) Rs.78
(d) Rs.96

Correct Answer: (b) Rs.90
View Solution

Question 81:

Below is given a pie chart showing infant mortality rate (per thousand births) in some states of India. Based on this information, answer the questions that follow.

In Haryana, 5,60,000 children were born in a certain period of time. How many of these children died?
(a) 3,627
(b) 3,972
(c) 4,144
(d) 4,013

Correct Answer: (c) 4,144
View Solution

Question 82:

Below is given a pie chart showing infant mortality rate (per thousand births) in some states of India. Based on this information, answer the questions that follow.

If 452 infants died in Jharkhand in a period of time, then how many births took place in this period?
(a) 45,000
(b) 60,000
(c) 36,000
(d) 40,000

Correct Answer: (d) 40,000
View Solution

Question 83:

What will be the sum of numerator and denominator when 0.48 is written in simplest fraction form?
(a) 32
(b) 64
(c) 74
(d) 37

Correct Answer: (d) 37
View Solution

Question 84:

If the perimeter of a square is the same as that of an equilateral triangle of side length 24 cm, then what is the area of the square?
(a) 324 cm2
(b) 225 cm2
(c) 289 cm2
(d) 400 cm2

Correct Answer: (a) 324 cm²
View Solution

Question 85:

Radha travelled for 60 minutes. This travel of 60 minutes can be divided into 6 equal intervals of 10 minutes each. In these 6 intervals, she travelled 10 km, 12 km, 14 km, 9 km, 5 km and 15 km. What is the average speed of Radha if only those intervals are considered when her speed was between 50 km/hr and 80 km/hr?
(a) 62 km/hr
(b) 66 km/hr
(c) 58 km/hr
(d) 64.5 km/hr

Correct Answer: (a) 62 km/hr
View Solution

Question 86:

A candle of height 10 cm burns at the rate of 2 cm/hr initially. After it has burnt 20%, the rate increases to 3 cm/hr. Then, after it has burnt 50%, the rate of burning changes again such that it takes 2 hours for the remaining candle to burn up completely. What is the overall average rate at which the candle gets burnt?
(a) 2.6 cm/hr
(b) 2.7 cm/hr
(c) 2.4 cm/hr
(d) 2.5 cm/hr

Correct Answer:(d) 2.5 cm/hr
View Solution

Question 87:

In an alloy, iron, copper and silver are present in ratio 7:3:1. 660 kg of this alloy is taken, and 30 kg each of copper and silver is added to it. What will be the ratio of iron, copper and silver in the alloy after these additions?
(a) 7:4:2
(b) 14:7:1
(c) 14:7:3
(d) 7:3:3

Correct Answer: (c) 14:7:3
View Solution

Question 88:

Which of these numbers is divisible by 132?
(a) 1,17,085
(b) 1,91,044
(c) 2,11,804
(d) 1,03,620

Correct Answer: (d) 1,03,620
View Solution

Question 89:

In a square of edge length 10 cm, mid points of 3 sides are joined together to form a triangle, and a circle is drawn such that all the vertices of the square lie on this circle. What is the area of the region that lies inside the circle but outside the triangle? (Take \( \pi = 3.14 \))
(a) 100 sq. cm
(b) 114 sq. cm
(c) 132 sq. cm
(d) 107 sq. cm

Correct Answer:(d) 107 sq. cm
View Solution

Question 90:

In a zoo, 40% of the total animals are reptiles.
Out of the remaining, 60% are mammals. If there are 456 animals that are neither reptiles nor mammals, then how many animals are there in the zoo?
(a) 1,900
(b) 1,800
(c) 2,100
(d) 2,300

Correct Answer: (a) 1,900
View Solution

Question 91:

The cost price of a TV is Rs. 7,272. The seller wants to sell it at 30% profit, and at the same time, he wants to offer consecutive discounts of 20% and 10%. What should be the marked price of the TV so that he is able to earn a 30% profit even after offering the discounts?
(a) Rs. 11,110
(b) Rs. 10,000
(c) Rs. 13,130
(d) Rs. 12,120

Correct Answer:(c) Rs. 13,130
View Solution

Question 92:

John bought an item for Rs. 200 and sold it to Mahesh for a profit of 10%. Mahesh further sold it to Ramesh for a profit of 10%. If Ramesh further sold this item to Virat for Rs. 280, then what was the profit percentage of Ramesh approximately?
(a) 8%
(b) 6%
(c) 4%
(d) 5%

Correct Answer: (b) 6%
View Solution

Question 93:

All the vertices of a right-angled triangle lie on the circumference of a circle. The length of the two perpendicular sides of the triangle are 14 cm and 48 cm. What is the area of the circle?
(a) 2304 π cm2
(b) 576 π cm2
(c) 625 π cm2
(d) 2500 π cm2

Correct Answer: (c) 625 \(\pi\) cm\(^2\)
View Solution

Question 94:

A sum of money was divided into 2 parts in the ratio 2:5. First part was invested for 2 years at the annual interest rate of 20% compounded annually. At what rate of simple interest per annum the second part must be invested for 2 years, so that the interest earned in both cases is the same?
 

(a) 8.8%
(b) Cannot be determined

(c) 10.2%
(d) 9.6%

Correct Answer: (a) 8.8%
View Solution

Question 95:

A train running at the speed of 72 km/hr can cross a stationary pole in 10 seconds. How much time will it take to overtake a train of length 500 metres running at 54 km/hr in the same direction?

(a) 130 seconds
(b) 110 seconds

(c) 120 seconds
(d) 140 seconds

Correct Answer: (d) 140 seconds
View Solution

Question 96:

A group of 11 natural numbers is arranged in ascending order. The average of the first six numbers is 18 and the average of the last six numbers is 28. If the 7th number is the smallest prime number greater than 20, then what is the sum of all these numbers?
(A) 253
(B) 276
(C) 299
(D) 241

Correct Answer: (C) 299
View Solution

Question 97:

If \( + \) means \( \div \), \( - \) means \( + \), \( \div \) means \( \times \), and \( \times \) means \( - \), then what will be the value of \( 13 \div 15 - 1670 + 5 \times 21 \)?
(A) 438
(B) 508
(C) 732
(D) 672

Correct Answer:(B) 508
View Solution

Question 98:

A cuboid of dimension 12 cm \( \times \) 16 cm \( \times \) 20 cm is cut into small cubes of edge length 4 cm. What is the difference between the total surface area of the original cuboid and the sum of the surface area of all the small cubes?
(A) 5008 cm2
(B) 4256 cm2
(C) 1408 cm2
(D) 0 cm2

Correct Answer: (B) 4256 cm\(^2\)
View Solution

Question 99:

How many prime numbers are there that are less than 30 and can be represented both as a sum and a difference of two primes?
(A) 4
(B) 1
(C) 10
(D) 0

Correct Answer: (B) 1
View Solution

Question 100:

40% of 70% of P is the same as 35% of R% of Q. Also, P% of P% of 400 is 16. What is the product of P, Q, and R?
(A) 32000
(B) 1600
(C) 16000
(D) 320

Correct Answer: (A) 32000
View Solution

Question 101:

A sum of Rs. 2,00,000 is invested for 2 years at an annual interest rate of 20% per annum compounded half yearly. After 2 years, the amount is invested again at 30% simple interest per annum for 1 year. What will be the final amount after 3 years?
(A) Rs. 3,61,808
(B) Rs. 3,80,666
(C) Rs. 2,92,820
(D) Rs. 3,28,914

Correct Answer: (B) Rs. 3,80,666
View Solution

Question 102:

The numerator of a fraction is 5 more than twice the denominator. Also, when 2 is added to the fraction, the numerator increases by 12. If the given fraction is squared and the numerator is divided by the denominator, then what will be the remainder?
(A) 1
(B) 0
(C) 3
(D) 2

Correct Answer:(A) 1
View Solution

Question 103:

In a class with 20 students, the average score in a test is 15. Out of the 20 students, 5 students scored 0 marks. What is the average marks of the remaining students if the students who scored 0 marks are excluded?
(A) 18
(B) 22
(C) 20
(D) 16

Correct Answer: (C) 20
View Solution

Question 104:

The total distance covered by a train in a journey is 600 km and the total stoppage time of the train during the journey is 1 hour. The difference between the speed of the train when stoppage time is excluded and when stoppage time is included is 30 km/hr. What is the average speed of the train when stoppage time is included?
(A) 150 km/hr
(B) 90 km/hr
(C) 180 km/hr
(D) 120 km/hr

Correct Answer: (D) 120 km/hr
View Solution

Question 105:

In a fraction, the numerator is 12 less than the denominator. If the numerator is decreased by 2, the fraction becomes 5/7. What is the value of the sum of numerator and denominator in the original fraction?

(A) 73

(B) 91
(C) 86
(D) 39

Correct Answer: (C) 86
View Solution

Question 106:

When Mohan started chasing a thief, the thief was 200 metres ahead of Mohan. Mohan was running at the speed of 18 km/hr while the thief was running at 9 km/hr. After 20 seconds, Mohan increased his speed to 27 km/hr. How much time did Mohan take in total to chase the thief?
(A) 50 seconds
(B) 30 seconds
(C) 45 seconds
(D) 55 seconds

Correct Answer:(B) 40 seconds
View Solution

Question 107:

A sum of money is invested at compound interest for 3 years. However, the rate of interest is 10% for the first year, 15% for the second year, and 20% for the third year. If the total interest earned is Rs. 15,540, then what was the sum of money invested?
(A) Rs. 25,000
(B) Rs. 40,000
(C) Rs. 30,000
(D) Rs. 36,000

Correct Answer: (C) Rs. 30,000
View Solution

Question 108:

Harry and Sharry together take 8 days to dig a cubical well of depth, length, and width 5 meters each. If Harry is twice as fast as Sharry, then how much time would Sharry alone take to dig up a cubical well of depth, length, and width 10 meters each?
(A) 216 days
(B) 192 days
(C) 144 days
(D) 208 days

Correct Answer:(B) 192 days
View Solution

Question 109:

A cylindrical water tank having a height of 6 meters has a capacity of 5,000 liters. Two pipes are filling this tank at the rate of 30 liters per second and 20 liters per second. There are two leaks in the tank. One is at a height of 3 meters and it drains water at the rate of 10 liters per second. The other is at a height of 4.5 meters and it drains water at the rate of 5 liters per second. How much time will it take to fill the empty tank?
(A) 120.24 seconds
(B) 108.62 seconds
(C) 116.96 seconds
(D) 112.48 seconds

Correct Answer:(C) 116.96 seconds
View Solution

Question 110:

If \( + \) means \( \times \), \( - \) means \( + \), and \( \times \) means \( - \), then what will be the value of \( (122 \, \times \, 32) + 20 - 13 \)?
(A) 1513
(B) 2039
(C) 1739
(D) 3093

Correct Answer:(D) 3093
View Solution

Question 111:

In which quarter the sale of Mercedes was the lowest?
(A) Quarter 1
(B) Quarter 4
(C) Quarter 2
(D) Quarter 3

Correct Answer: (C) Quarter 2
View Solution

Question 112:

What is the ratio of sales in the second quarter by Volvo to sales in the first quarter by Mercedes?
(A) 5:4
(B) 3:2
(C) 4:3
(D) 2:1

Correct Answer: (D) 2:1
View Solution

Question 113:

How many trucks did Tata Motors sell in the complete year approximately?
(A) 4100
(B) 4500
(C) 3600
(D) 4900

Correct Answer: (A) 4100
View Solution

Question 114:

If \( + \) means \( \div \), \( - \) means \( + \), \( \div \) means \( \times \) and \( \times \) means \( - \) then what will be the value of \( ((1200 + 24 - 55) + 5) \times 12 \)?

(A) 9
(B) 7

(C) 6
(D) 98

Correct Answer:(D) 98
View Solution

Question 115:

12 men and 6 women can complete a work in 10 days. 3 men and 6 women can complete this work in 25 days. How many men are required to complete this work in 5 days?
(A) 30
(B) 20
(C) 24
(D) 36

Correct Answer: (A) 30
View Solution

Question 116:

In a basketball team with 12 players, the average height of the players is 170 cm. Out of these players, the average height of 7 players is 166 cm. What is the average height of the remaining 5 players?
(A) 173.8 cm
(B) 175.6 cm
(C) 174.4 cm
(D) 175.2 cm

Correct Answer: (B) 175.6 cm
View Solution

Question 117:

The price of a diamond is directly proportional to the square of its weight. A trader bought a piece of diamond weighing 10 grams for Rs. 2,00,000. He broke it into three pieces of weights 5 grams, 3 grams, and 2 grams, and sold them individually. What was the total loss incurred by the trader?
(A) No loss
(B) Rs. 1,24,000
(C) Rs. 1,00,000
(D) Rs. 76,000

Correct Answer: (B) Rs. 1,24,000
View Solution

Question 118:

Point M is the point of intersection of all the 3 medians of a triangle \( \Delta ABC \). The median drawn from vertex A intersects the side BC at point D and the lengths of AD and BC are 21 cm and 24 cm respectively. What is the sum of the lengths of BD and MD?
(A) 21 cm
(B) 22 cm
(C) 20 cm
(D) 19 cm

Correct Answer:(D) 19 cm
View Solution

Question 119:

From a bucket full of water, \( \frac{3}{10} \) of water is taken out. Now, 4 liters of water is added to the bucket. Then, \( \frac{1}{5} \) of water is taken out, leaving only \( \frac{2}{3} \) of the bucket full. What is the capacity of the bucket?
(A) 25 litres
(B) 30 litres
(C) 27.5 litres
(D) 20 litres

Correct Answer:(B) 30 litres
View Solution

Question 120:

An item with a marked price of Rs. 400 is sold at successive discounts of 30%, 20%, 20%, and 10%. What will be the actual selling price of the item?
(A) Rs. 165.34
(B) Rs. 159.72
(C) Rs. 161.28
(D) Rs. 163.16

Correct Answer: (C) Rs. 161.28
View Solution

Question 121:

Fill in the blanks with the correct Preposition:
He found it hard contain his anger.
(A) for
(B) in
(C) with
(D) to

Correct Answer: (D) to
View Solution

Question 122:

Fill in the blanks with the correct option:
children love to watch animated films.
(A) Less
(B) Every
(C) Most
(D) Lot

Correct Answer: (C) Most
View Solution

Question 123:

Fill in the blanks with the correct option:

The petals of  flowers expand in the sunshine.
(A) whole
(B) many
(C) enough
(D) much

Correct Answer: (B) many
View Solution

Question 124:

Fill in the blanks with the correct option:

I’ll get you coffee.
(A) some
(B) few
(C) all
(D) each

Correct Answer: (A) some
View Solution

Question 125:

Fill in the blanks with the correct option:

We saw a  animals at the zoo.
(A) bit of
(B) lot of
(C) good deal of
(D) great deal of

Correct Answer: (B) lot of
View Solution

Question 126:

Fill in the blanks with the correct Article:
 price must be more realistic, if you want to sell this item.
(A) A
(B) The
(C) An
(D) No Article

Correct Answer: (B) The
View Solution

Question 127:

Fill in the blanks with the correct Article:
Mary was wearing beautiful silver chain around her neck.
(A) The...a
(B) No Article ... a
(C) The...an
(D) No Article...an

Correct Answer: (B) No Article ... a
View Solution

Question 128:

Identify the correct synonym of the underlined word:

We searched the surrounding neighbourhood for the missing boy.
(A) cellar
(B) vicinity
(C) garden
(D) terrace

Correct Answer: (B) vicinity
View Solution

Question 129:

Identify the CORRECT sentence:
(A) China have always fascinated me.
(B) China has always fascinates me.
(C) China always fascinate me.
(D) China has always fascinated me.

Correct Answer: (D) China has always fascinated me.
View Solution

Question 130:

Fill in the blanks with the correct Article:

If we hurry, there’s still outside chance of catching the plane.

(A) an

(B) the
(C) a
(D) No Article

Correct Answer: (A) an
View Solution

Question 131:

Fill in the blanks with the correct Article:
Maths is intrinsic part of school curriculum.
(A) No Article...an
(B) a...the
(C) a...an
(D) an...the

Correct Answer: (D) an...the
View Solution

Question 132:

Identify the CORRECT sentence:
(A) Brazil earns none of millions of pounds a year from coffee exports.
(B) Brazil earns much millions of pounds a year from coffee exports.
(C) Brazil earns any millions of pounds a year from coffee exports.
(D) Brazil earns many millions of pounds a year from coffee exports.

Correct Answer: (D) Brazil earns many millions of pounds a year from coffee exports.
View Solution

Question 133:

Identify the CORRECT sentence:
(A) The interview is lasted half an hour.
(B) The interview have lasted for half an hour.
(C) The interview last half an hour.

(D) The interview lasted for half an hour.

Correct Answer: (D) The interview lasted for half an hour.
View Solution

Question 134:

Fill in the blanks with the appropriate verb form:
The brook the river here.
(A) have joined
(B) have been joining
(C) join
(D) joins

Correct Answer: (D) joins
View Solution

Question 135:

Fill in the blanks with the appropriate verb form:
The game  with the national anthem.
(A) open
(B) had open
(C) opened
(D) have opened

Correct Answer: (C) opened
View Solution

Question 136:

Fill in the blanks with the correct option:

She has  ------ friends.
(A) either
(B) a little
(C) few
(D) any

Correct Answer: (C) few
View Solution

Question 137:

Identify the antonym of 'perennial':
(A) Permanent
(B) Temporary
(C) Stable
(D) Constant

Correct Answer: (B) Temporary
View Solution

Question 138:

Choose the synonym of 'metamorphosis':
(A) Translocation
(B) Transformation
(C) Translation
(D) Transfusion

Correct Answer: (B) Transformation
View Solution

Question 139:

'Finding Nemo' is
(A) Lucknow’s National Bureau of Fish Genetic Resources
(B) A blockbuster animated film
(C) Maharashtra Mangrove Cell
(D) Mumbai’s Coastal and Marine Biodiversity Centre

Correct Answer: (B) A blockbuster animated film
View Solution

Question 140:

Pick out the one-word substitute of 'a place to brood eggs of hens and fish.'
(A) Miniature
(B) Aquarium
(C) Hatchery
(D) Mangrove

Correct Answer: (C) Hatchery
View Solution

Question 141:

Out of 200 clownfish, which were brought from Tamil Nadu, Andaman Islands, and Lakshadweep, how many pairs survived?
(A) 30
(B) 10
(C) 16
(D) 57

Correct Answer: (D) 57
View Solution

Question 142:

NBFGR helps villagers in Maharashtra’s mangrove belt make a living by
(A) cashing in on the popularity of clownfish
(B) checking water quality
(C) understanding the behaviour of the fish
(D) building storage tanks

Correct Answer: (A) cashing in on the popularity of clownfish
View Solution

Question 143:

Fill in the blanks with the correct option:

Krishna secured ------- marks than Shilpa.
(A) more
(B) every
(C) several
(D) many

Correct Answer: (A) more
View Solution

Question 144:

Fill in the blanks with the correct Article:

She was born in ----- Italy but speaks English fluently.
(A) an
(B) the
(C) a
(D) No Article

Correct Answer: (D) No Article
View Solution

Question 145:

Fill in the blanks with the correct Article:

She is famous in ------- office for her caustic wit.
(A) the
(B) No Article
(C) an
(D) a

Correct Answer: (A) the
View Solution

Question 146:

Fill in the blanks with the appropriate verb form:

She ------an ambiguous answer.
(A) have given
(B) have been giving
(C) give
(D) gave

Correct Answer: (D) gave
View Solution

Question 147:

Identify the correct synonym of the underlined word:

The possibilities are endless.
(A) events
(B) ideas
(C) prospects
(D) deals

Correct Answer: (C) prospects
View Solution

Question 148:

Identify the correct synonym of the underlined word:

She always looks immaculate.
(A) spotless
(B) dull
(C) healthy
(D) modern

Correct Answer: (A) spotless
View Solution

Question 149:

Fill in the blank with correct Preposition:

The money was all ploughed back ------ the company.
(A) beside
(B) above
(C) into
(D) through

Correct Answer: (C) into
View Solution

Question 150:

Fill in the blanks with the correct Article:

He has-------really intriguing behaviour.
(A) the
(B) an
(C) a
(D) No Article

Correct Answer: (C) a
View Solution

Question 151:

Identify the CORRECT sentence:
(A) She is passionate about her work.
(B) She is passionate to her work.
(C) She is passionate into her work.
(D) She is passionate on her work.

Correct Answer: (A) She is passionate about her work.
View Solution

Question 152:

Identify the correct synonym of the underlined word:

She’s got an incisive mind.
(A) keen
(B) curious
(C) perfect
(D) diligent

Correct Answer: (A) keen
View Solution

Question 153:

Fill in the blank with the correct Preposition:

Do not pull so hard or the handle will come ----.

(A) of
(B) off
(C) towards
(D) by

Correct Answer: (B) off
View Solution

Question 154:

Fill in the blanks with the appropriate verb form:
Kishore------ himself to be a genius.

(A) boast

(B) boasts
(C) boasting
(D) have boasted

Correct Answer: (B) boasts
View Solution

Question 155:

Fill in the blanks with the correct Article:

Our lawn is ------- carpet of ------ daisies.

(A) an...a
(B) No Article...the
(C) an...an
(D) a...No Article

Correct Answer: (D) a...No Article
View Solution

Question 156:

Identify the correct synonym of the underlined word:

He always deprecates my achievements.
(A) criticizes
(B) commends
(C) praises
(D) admires

Correct Answer: (A) criticizes
View Solution

Question 157:

Identify the correct synonym of the underlined word:

His hold on her arm tightened.
(A) pat
(B) grip
(C) access
(D) touch

Correct Answer: (B) grip
View Solution

Question 158:

Identify the CORRECT sentence:
(A) Though he was ill, he was cheerful.
(B) He was ill, he was cheerful though.
(C) He was ill though cheerful was he.
(D) He was ill, he was though cheerful.

Correct Answer: (A) Though he was ill, he was cheerful.
View Solution

Question 159:

Identify the CORRECT sentence:
(A) Even though she’s very hard working, but not very imaginative.
(B) As she’s very hard working, but not very imaginative.
(C) She’s very hard working but not very imaginative.
(D) She’s very hard working still, but not very imaginative.

Correct Answer: (C) She's very hard working but not very imaginative.
View Solution

Question 160:

Fill in the blanks with the correct Preposition:

He hung his coat on a nail protruding----- the wall.
(A) below
(B) from
(C) about
(D) underneath

Correct Answer: (B) from
View Solution

Question 161:

Choose the antonym of ‘ancient’.
(A) New
(B) Latest
(C) Recent
(D) Old

Correct Answer:(A) New
View Solution

Question 162:

Choose the False statement:
(A) Most of the Indian scriptures are in Sanskrit
(B) English translations can do justice to the spirit of the original Sanskrit texts
(C) Sanskrit provides roots to the Indian students
(D) The author says that learning both English and Sanskrit is equally important

Correct Answer: (B) English translations can do justice to the spirit of the original Sanskrit texts
View Solution

Question 163:

Identify the CORRECT sentence:
(A) Both she felt unappreciated by her colleagues and her seniors.
(B) She felt unappreciated both by her colleagues and by her seniors.
(C) She both felt unappreciated by her colleagues and her seniors.
(D) She felt both unappreciated by her colleagues and her seniors.

Correct Answer: (B) She felt unappreciated both by her colleagues and by her seniors.
View Solution

Question 164:

Fill in the blanks with the appropriate verb form:

He ----- the child's hand in his.
(A) was held
(B) were holding
(C) hold
(D) held

Correct Answer: (D) held
View Solution

Question 165:

Fill in the blanks with the correct Preposition:

They were all sitting ---- the table.
(A) round
(B) with
(C) after
(D) till

Correct Answer: (A) round
View Solution

Question 166:

Fill in the blanks with correct option:

Clean water is a precious commodity ----- in parts of the world.
(A) little
(B) neither
(C) each
(D) many

Correct Answer: (D) many
View Solution

Question 167:

Fill in the blanks with the appropriate verb form:

The car----- the tree.
(A) has been hitting
(B) have hit
(C) have been hit
(D) hit

Correct Answer: (D) hit
View Solution

Question 168:

Fill in the blanks with the correct Preposition:

I sat down ----- Hari and Prakash.
(A) besides
(B) among
(C) beyond
(D) between

Correct Answer: (D) between
View Solution

Question 169:

Fill in the blanks with the appropriate verb form:

The rain ---- so we left off our coats.
(A) has stopped
(B) had stopped
(C) stop
(D) stops

Correct Answer: (B) had stopped
View Solution

Question 170:

Fill in the blanks with the appropriate verb form:

She---- the report in order to clear the essential points.

 

(A) rephrase
(B) have rephrased

(C) rephrased
(D) rephrasing

Correct Answer: (C) rephrased
View Solution

Question 171:

Identify the correct synonym of the underlined word:

Her handwriting is barely legible.
(A) genuine
(B) formal
(C) impressive
(D) readable

Correct Answer: (D) readable
View Solution

Question 172:

Identify the CORRECT sentence:
(A) Lata is not as tall as Sudha.
(B) Lata is not tall as Sudha.
(C) Lata is not too tall as Sudha.
(D) Lata is not so tall than Sudha.

Correct Answer: (A) Lata is not as tall as Sudha.
View Solution

Question 173:

Identify the correct synonym of the underlined word:

Pavan spurned my offers of help.
(A) accepted
(B) decided
(C) rejected
(D) preferred

Correct Answer: (C) rejected
View Solution

Question 174:

Fill in the blanks with the correct Preposition:

The election was a straight fight-------the four parties.
(A) among
(B) around
(C) along
(D) across

Correct Answer: (A) among
View Solution

Question 175:

Fill in the blanks with the correct Preposition:

The door ---- closed him.
(A) beneath
(B) between
(C) amidst
(D) on

Correct Answer: (D) on
View Solution

Question 176:

Fill in the blank with the appropriate verb form:

Raghu ------ just under his eye.
(A) is hits
(B) are hit
(C) was hit
(D) were hit

Correct Answer: (C) was hit
View Solution

Question 177:

Fill in the blanks with the correct Article:
She is -------world champion for \hspace{3cm} third year in succession.

(A)No Article...an
(B) the ... the

(C) an...a
(D) the...an

Correct Answer: (B) the ... the
View Solution

Question 178:

Identify the CORRECT sentence:
(A) We enjoyed yourselves every minute of our stay.
(B) We enjoyed ourselves every minute of our stay.
(C) We enjoyed oneself every minute of our stay.
(D) We enjoyed themselves every minute of our stay.

Correct Answer: (B) We enjoyed ourselves every minute of our stay.
View Solution

Question 179:

Identify the correct synonym of the underlined word:

He's not very optimistic about the outcome of the interview.
(A) nervous
(B) quiet
(C) lively
(D) hopeful

Correct Answer: (D) hopeful
View Solution

Question 180:

Fill in the blanks with the correct option:

------ employees have been closely associated with the organisation for some time.
(A) Both
(B) Much
(C) Each
(D) Enough

Correct Answer: (A) Both
View Solution


ATMA Previous Year Question Paper with Answer Key PDFs

Other Exam Question Papers

ATMA Questions

  • 1.
    Among 165 examinees in a certain school, the ratio of successful to unsuccessful students is 10: 1. If 5 more students were successful, then what would have been the ratio of successful to unsuccessful students?

      • 9:2
      • 41:2
      • 21:2
      • 31:2

    • 2.
      In a certain code language QUESTION is written as LTDRSHNO. How is ANSWER written in that code?

        • PMRVDZ
        • PMRVDY
        • QMRVDZ
        • QMRVDY

      • 3.
        Six books are placed from left to right on a shelf. History book is neither on extreme left nor on extreme right. English book is to the immediate left of Science book. Geography book has three books to its right side. Between Science and Sociology books, there are exactly two books. Remaining one book is of Arts. How many books are there to the right of History book?

          • 1
          • 2
          • 3
          • 4

        • 4.
          Choose the correct option to complete the sentence:
          This is a birthday gift___my brother.

            • from
            • unto
            • of
            • Since

          • 5.
            It XY = 5:7, XZ 3:8 and W:Y4:9 then what is X: W?

              • 28:27
              • 28:45
              • 45:28
              • 27:28

            • 6.
              Investment of ₹ 4,000 at \(R\%\) per annum compounded annually becomes 16,000 in 8 years. If 2,000 is invested at \(R\%\) per annum compounded annually, then in how many years will the investment become 16,000?

                • 8
                • 10

                • 12

                • 14

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