ATMA 2021 question paper pdf with solutions- Download May 30 Question Paper pdf

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

K L Rahul : Cricket :: Sunil Chhetri :: ?

• (A) Hockey
• (B) Football
• (C) Table tennis
• (D) Volleyball

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

MONTEX : NOMXET :: POLISH : ?

• (A) HSIPOL
• (B) HSILOP
• (C) LOPHSI
• (D) LOPISH

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

Out of 5 friends Alex, Barry, Charles, David, and Eshaan, David is not the tallest. Eshaan is taller than only
two of his friends. Alex is shorter than only one of his friends. Barry is the shortest. If all of them have different
heights, then who is the tallest?

• (A) Charles
• (B) Alex
• (C) David
• (D) Eshaan

Based on the information given, answer the question given below.

There are 5 friends who are standing in a straight line. Their arrangement is as follows:

1) Ben is fourth from the rightmost end.

2) Den is third to the right of Anna.

3) Cathy is to the left of Eric.


Who is third from the leftmost end?
 

• (A) Anna
• (B) Ben
• (C) Cathy
• (D) Den

There are 17 men to the left of Kant, who is 3rd to the left of Pant. If Pant is 5th from the right, then how
many men are there in that row?

• (A) 24
• (B) 25
• (C) 26
• (D) 27

E's mother's husband's only daughter is M. How is E related to M?

• (A) Brother
• (B) Sister
• (C) Cousin
• (D) Uncle

Samuel's mother's brother's mother's only son-in-law's daughter is Marina. How is Marina related to Samuel's mother?

• (A) Niece
• (B) Aunt
• (C) Sister
• (D) Daughter

In a certain code language, the word "MOBILE" is coded as "FMJCPN". How is the word "RADIO" coded in that language?

• (A) BSPEJ
• (B) BESPJ
• (C) PJEBS
• (D) PEBJS

In a certain code language, BATS is coded as CBUT. How is TATA coded in that language?

• (A) UUTB
• (B) UBUB
• (C) UBAT
• (D) TABU

In a certain code language TOY is coded as \(!@\#\) and BOY is coded as \(@\$\#\). What could be the code for JOY in that language?

• (A) !@\&
• (B) \#@!
• (C) \#@\&
• (D) \&\#!

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 books are pens.
II. No pen is rubber.

Conclusions:
I. No book is rubber.
II. All books are rubbers.

• (A) Only conclusion I follows
• (B) Only conclusion II follows
• (C) Both conclusions I and II follow
• (D) Neither conclusion I nor conclusion II follows

How many triangles are there in the given figure?

• (A) 1
• (B) 4
• (C) 5
• (D) 10

How many rectangles are there in the given figure?

• (A) Four
• (B) Five
• (C) Six
• (D) Seven

How many triangles can be formed by using 7 non-collinear points on a plane?

• (A) 30
• (B) 35
• (C) 40
• (D) 50

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


Statement: Arun will go to the park on even dates.

Inference: Arun will go to the park on the 25th.

• (A) TRUE
• (B) FALSE
• (C) Uncertain
• (D) Irrelevant

Assuming the statement given in the question to be true, point out the inference as one of the following:
Statement: It had been raining for the last three days and will probably rain today also.
Inference: It's a rainy season.

(a) -TRUE

(b) - FALSE

(c) - Uncertain

(d) -Irrelevant

• (A) a
• (B) b
• (C) c
• (D) d

Assuming the given statement to be true, select inference as one of the options.
Statement: X is one of the states of country Y. In state X, for every 1000 males, there are 850 females.
Inference: Country Y has fewer females than males.

• (A) TRUE
• (B) FALSE
• (C) Uncertain
• (D) Irrelevant

Given below is a statement followed by 2 inferences. Choose the inference that can be inferred from the given statement by selecting the right option.
Statement: All chocolates are sweets.
Inferences:

I. Some sweets are chocolates.

II. No sweet is a chocolate.

• (A) Only inference I follows
• (B) Only inference II follows
• (C) Both inferences I and II follow
• (D) Neither inference I nor inference II follows

Given below is 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 1200 students who appeared for the exam, 30% of them got more than 80% of the marks, and the rest all scored below 40%, while the pass mark in the exam was 50%.

Inferences:
I. None of the students scored marks in the range 40%-80%.

II. Most of the students have not performed well in the exam.

• (A) Only inference I follows
• (B) Only inference II follows
• (C) Both inferences I and II follow
• (D) Neither inference I nor inference II follows

In three of the options, the second number is related to the first number in a similar logical way. Which is the odd one out?

• (A) 456 - 120
• (B) 165 - 30
• (C) 349 - 108
• (D) 735 - 90

Ramesh, Ganesh, Hareesh, and Rajesh are four friends. Ramesh is taller than 2 of his friends. Neither Hareesh nor Ganesh are the shortest. Who is the shortest among the four?

• (A) Ramesh
• (B) Ganesh
• (C) Hareesh
• (D) Rajesh

Out of 5 friends Charles, David, Eshan, Farhan, and Grover, neither Eshan nor David is the eldest. Charles is the 2nd youngest. Farhan is the youngest. Who is the eldest?

• (A) Eshan
• (B) Farhan
• (C) Charles
• (D) Grover

What is the next number in the series given below?
\[ 4, 9, 16, 25, 36, 49, \, ? \]

• (A) 64
• (B) 60
• (C) 56
• (D) 48

Which is the next number in the series given below?
10, 11, 24, 75, 304, ? 

• (A) 1225
• (B) 1525
• (C) 1725
• (D) 1925

What is the next number in the series given below?
\[ 2, 4, 2, -2, -4, -2, 2, ? \]

• (A) -4
• (B) -2
• (C) 4
• (D) 6

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) Rectangle

2) Rhombus

3) Square

4) Triangle

• (A) 1, 2, and 3
• (B) 1, 2, and 4
• (C) 2, 3, and 4
• (D) 1, 3, and 4

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


1) 121

2) 12421

3) 1234321

4) 123454321

• (A) 1, 2, and 3
• (B) 1, 3, and 4
• (C) 1, 2, and 4
• (D) 2, 3, and 4

Given below is 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

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

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


Question: What is the cost price of the watch?

Statements:

I. The watch is sold at a discount of 20% of the marked price.

II. The shopkeeper made a profit of 60% of the cost price.

• (A) Statement I alone is sufficient
• (B) Statement II alone is sufficient
• (C) Both statements I and II together are sufficient
• (D) Neither statement I nor statement II is sufficient

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


(3@7@6) : 256 :: (1@9@8) : ?

• (A) 225
• (B) 289
• (C) 324
• (D) 361

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

GOLF : IQNH :: CART : ?

• (A) CCTV
• (B) ECTV
• (C) TRAC
• (D) DBSU

Based on the information given, answer the question below.
There are 5 friends standing in a straight line. Their arrangement is as follows:
1) Ben is fourth from the rightmost end.
2) Den is third to the right of Anna.
3) Cathy is to the left of Eric.

Who is third to the right of Ben?

• (A) Anna
• (B) Cathy
• (C) Den
• (D) Eric

Read the information given below and answer the question that follows:
4 exams are to be conducted on 4 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.

Which exam is conducted on Thursday?

• (A) Biology
• (B) English
• (C) Physics
• (D) Mathematics

R's only brother's only sister's husband is the father of M. If R has only one sibling, then how is R related to M?

• (A) Aunt
• (B) Son
• (C) Sister
• (D) Mother

Rajan's father's sister's mother's only daughter-in-law is Kala. How is Kala related to Rajan's sister?

• (A) Wife
• (B) Sister
• (C) Mother
• (D) Grandmother

In a certain code language, the word "BOTTLE" is coded as "OBTTEL". How is the word "CACTUS" coded in that language?

• (A) ATUSCC
• (B) ACTCSU
• (C) CCAUTS
• (D) CSTUAC

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 are indians" is coded as " nak mak dak".

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

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

"indians like peace" is coded as " dak sok peak".

What is the code for the word "are"?

• (A) mak
• (B) nak
• (C) dak
• (D) chak

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


Question: Is Alex the son of David?

Statements:

I. Alex is the father of Tony.

II. David is the grandfather of Tony.

• (A) Statement I alone is sufficient
• (B) Statement II alone is sufficient
• (C) Both statements I and II together are sufficient
• (D) Neither statement I nor statement II are sufficient

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


Question: Is X a positive integer?

Statements:

I. \(X^2 = 49\)

II. \(X < 8\)

• (A) Statement I alone is sufficient but statement II alone is insufficient
• (B) Statement II alone is sufficient but statement I alone is insufficient
• (C) Both statements I and II together are sufficient
• (D) The question can't be answered even by using both the statements

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


Question: Is Tomorrow a Sunday?

Statements:

I. Yesterday was not Monday.

II. Day before yesterday was not Thursday.

• (A) Statement I alone is sufficient
• (B) Statement II alone is sufficient
• (C) Both statements I and II together are sufficient
• (D) Neither statement I nor statement II are sufficient

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 ants are black.

II. Some cats are ants.


Conclusions:

I. Some cats are black.

II. Some blacks are cats.

• (A) Only conclusion I follows
• (B) Only conclusion II follows
• (C) Both conclusions I and II follow
• (D) Neither conclusion I nor conclusion II follows

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 chocolates are fruits.

II. No fruit is a cake.


Conclusions:

I. Some fruits are chocolates.

II. Some chocolates are not cakes.

• (A) Only conclusion I follows
• (B) Only conclusion II follows
• (C) Both conclusions I and II follow
• (D) Neither conclusion I nor conclusion II follows

How many more triangles are there in the 1st figure as compared to the 2nd figure?

• (A) One
• (B) Two
• (C) Three
• (D) Four

How many parallelograms are there in the given figure?

• (A) 3
• (B) 4
• (C) 6
• (D) 7

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 total mango exports in the country reduced by 30% from last year to the present year.

Inferences:

I. The total production of mangoes is reduced from last year to the present year.

II. Only good quality mangoes are exported.
 

• (A) Only inference I follows
• (B) Only inference II follows
• (C) Both inferences I and II follow
• (D) Neither inference I nor inference II follows

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: Cost of an article is first increased by 10% and then decreased by 10%.

Inferences:

I. The final cost is lesser than the original cost.

II. The final cost is same as the original cost.

• (A) Only inference I follows
• (B) Only inference II follows
• (C) Both inferences I and II follow
• (D) Neither inference I nor inference II follows

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: Heavy rain has affected the production of crops due to which the price of each of the vegetables has increased.

Inferences:

I. Price of vegetables depends on their production.

II. Least rain would have resulted in more production and eventually less price of vegetables.

• (A) Only inference I follows
• (B) Only inference II follows
• (C) Both inferences I and II follow
• (D) Neither inference I nor inference II follows

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) 123 - 6
• (B) 723 - 35
• (C) 345 - 60
• (D) 521 - 10

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


Options:

(1) SQUARE - 6

(2) CUBE - 4

(3) RECTANGLE - 8

(4) TRIANGLE - 8

What amount will Alex get in return if he pays Rs.10 and buys 5 biscuits of Rs.1.5 each?

• (A) Rs.2.50
• (B) Rs.5.00
• (C) Rs.7.50
• (D) Rs.8.00

The cost of an apple is Rs.5, that of a mango is Rs.4, and that of a watermelon is Rs.10. What is the maximum number of fruits that I can buy exactly with Rs.100, so that I have at least 1 fruit of each variety?

• (A) 21
• (B) 22
• (C) 23
• (D) 24

What is the next number in the series given below?

4, 27, 16, 125, 36, 343, ?

• (A) 256
• (B) 196
• (C) 64
• (D) 49

Which is the next letter in the letter series given below?

B, D, H, P, F, ?

• (A) J
• (B) K
• (C) L
• (D) M

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


1)  3! \times 4!

2) \( 12 \times 12 \)

3) \( 198 - 44 \)

4) \( 576 / 4 \)

• (A) 1, 2, and 3
• (B) 1, 3, and 4
• (C) 2, 3, and 4
• (D) 1, 2, and 4

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) Ratio

2) Fraction

3) Portion

4) Addition

• (A) 1, 2, and 3
• (B) 1, 2, and 4
• (C) 2, 3, and 4
• (D) 1, 3, and 4

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

• (A) A
• (B) B
• (C) C
• (D) D

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

• (A) A
• (B) B
• (C) C
• (D) D

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

• (A) a
• (B) b
• (C) c
• (D) d

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


Statement: The advertisement in a local newspaper said "Company X gives job preference for local youth in their company and all those who are eligible can apply"

Inference: The local newspaper gives advertisements regarding job opportunities.

• (A) a)
• (B) b)
• (C) c)
• (D) d)

There are 3 teams with 5 players in each team. The average age of the players in these 3 teams are 23, 25, and 30. What is the average age of all the players in these 3 teams taken together?

• (A) 25
• (B) 26
• (C) 27
• (D) 28

There are two sections A and B of a class, consisting of 35 and 45 students respectively. If the average weight of all the students of section A is 38 kg and that of all the students of section B is 42 kg, then what is the average weight of all the students in both the sections together?

• (A) 38.75 kg
• (B) 39.25 kg
• (C) 39.75 kg
• (D) 40.25 kg

Marie bought a 1-year certificate of deposit and the annual interest earned on the deposit is 6 percent compounded semi-annually. What was the amount invested, if the interest earned on the certificate at maturity is Rs.60.9?

• (A) Rs.100
• (B) Rs.1,000
• (C) Rs.1,010
• (D) Rs.1,100

Mike invested Rs.1,000 at simple interest. If the amount became 3 times in 12.5 years, then what will be the total amount of the investment after 25 years?

• (A) Rs.3000
• (B) Rs.5000
• (C) Rs.7000
• (D) Rs.9000

Sikha spends \( \frac{1}{3} \) of her salary on room rent, \( \frac{1}{4} \) of the remaining on loan repayment, and \( \frac{1}{5} \) of the remaining on food. What fraction of her salary is left with her?

• (A) \( \frac{1}{5} \)
• (B) \( \frac{2}{5} \)
• (C) \( \frac{3}{5} \)
• (D) \( \frac{4}{5} \)

In a certain exam, \( \frac{1}{10} \) of the students passed by 1st division, \( \frac{1}{4} \) of the students passed by 2nd division, and half of the students passed by 3rd division. If the remaining 54 students failed in the exam, then what was the total number of students who appeared in the exam?

• (A) 320
• (B) 340
• (C) 360
• (D) 380

Area of a circle is same as that of a square of length 10 cm. The circumference of the circle is

• (A) \( 10\sqrt\pi \, cm \)
• (B) \( 20\sqrt\pi \, cm \)
• (C) \( 10\sqrt{2} \, cm \)
• (D) \( 20\sqrt{2} \, cm \)

The perimeter of a square is \( P \, cm \) and the area of the circle inscribed in it is \( A \, cm^2 \). If \( P = 4A \), then what is the length of a side of the square?

• (A) \( \frac{4}{\pi} \, cm \)
• (B) \( \frac{12}{\pi} \, cm \)
• (C) \( \frac{14}{\pi} \, cm \)
• (D) \( \frac{16}{\pi} \, cm \)

If \( + \) means multiplication, \( - \) means addition, \( \times \) means subtraction, and \( \div \) means division, then what is the value of the expression

72.42 \( - \) 385.66 \( - \) 4976.387

• (A) 5432.46
• (B) 5433.46
• (C) 5434.46
• (D) 5435.46

If \( + \) means multiplication, \( - \) means addition, \( \times \) means subtraction, and \( \div \) means division, then what is the value of the expression

2522 \( \div \) 97 \( - \) 34 \( + \) 43 \( + \) 96 \( - \) 69?

• (A) 1353
• (B) 1461
• (C) 1557
• (D) 1579

A number when divided by 24 leaves a remainder of 13. What remainder would the number leave when divided by 6?

• (A) 0
• (B) 1
• (C) 2
• (D) 3

If 'x' and 'y' are positive integers and 'x + y' is even, then which of the following must always be even?

• (A) x
• (B) y
• (C) x(y+1)
• (D) (x+1)(y +1)

Which of the following numbers is the smallest number that is completely divisible by all of the given numbers 2, 3, 4, 5, 6, 7, 8, 9, and 10?

• (A) 1260
• (B) 2520
• (C) 5040
• (D) 362880

Which of the following is the greatest divisor of the product of any 3 consecutive even integers?

• (A) 16
• (B) 24
• (C) 48
• (D) 96

20% of the total cost of a projector is payable at the time of purchase and the remaining is payable at the time of installation. If Rs.6,000 is paid at the time of purchase, then what is the amount payable at the time of installation?

• (A) Rs.12,000
• (B) Rs.18,000
• (C) Rs.24,000
• (D) Rs.30,000

In a survey of 500 people living in an apartment, only 70% of the people responded to the survey. Of them, only 40% responded in favour of construction of a swimming pool. What percentage of all the people surveyed did NOT respond in favour of construction of a swimming pool?

• (A) 30%
• (B) 42%
• (C) 60%
• (D) 72%

Mark saves at least Rs.8,000 on the purchase of an electric scooter which is sold at 20% discount. What could be the minimum possible marked price of the electric scooter?

• (A) Rs.10,000
• (B) Rs.20,000
• (C) Rs.40,000
• (D) Rs.80,000

During a film festival, a series of two successive discounts is offered on the sale of movie tickets. A discount of \( x% \) is offered on the sale price of the ticket and an additional discount of \( x% \) is offered on the discounted price of the ticket. If the total discount is equivalent to 36%, then what is the value of \( x \)?

• (A) 17%
• (B) 18%
• (C) 19%
• (D) 20%

Ramesh sells a mobile phone for Rs.18,000 and thereby makes a profit of 20%. If he wishes to make a profit of 25%, by what percentage must he increase the current selling price of the mobile phone?

• (A) 4%
• (B) 4.17%
• (C) 5%
• (D) 5.17%

A trader buys mangos at the rate of 4 mangos for Rs. 75 and sells mangos at the rate of 7 mangos for Rs. 190. If the trader wants to make a profit of Rs. 235, then what is the number of mangos he must buy and sell?

• (A) 18
• (B) 21
• (C) 24
• (D) 28

Three friends decided to split their monthly house rent in the ratio 3 : 4 : 5. If their monthly house rent was Rs.20,000, then what was the least share paid among all the three friends?

• (A) Rs.3000
• (B) Rs.4000
• (C) Rs.5000
• (D) Rs.6000

The given bar graph represents the monthly profits of Company X. Please answer the question(s) based
on the given data.
For how many months in Year 2019, the percentage change in monthly profits was positive?

• (A) 1
• (B) 2
• (C) 3
• (D) 4

The given bar graph represents the monthly profits of Company X. Please answer the question(s) based
on the given data.

If percentage change in profit from September to October is the same as percentage change in profit from July to August, then what would be the approximate monthly profit in October?

• (A) Rs.5,00,000
• (B) Rs.10,00,000
• (C) Rs.15,00,000
• (D) Rs.20,00,000

In a certain city, the number of people who have health insurance is 1.5 times the number of people who
don't have health insurance. What is the ratio of the number of people who have health insurance to the total
number of people in the city?

• (A) 2:3
• (B) 2:5
• (C) 3:5
• (D) 3:7

The ratio of selling price to the marked price of an article is \( x : y \) whereas the ratio of its marked price to its cost price is 3:2. If the profit earned on the article is 20% of the cost price, what is the ratio of the marked price to the selling price?

• (A) 4:3
• (B) 4:5
• (C) 2:4
• (D) 5:4

A man walking upward on a staircase at the speed of \( x \) steps per second takes a total time of \( y \) seconds to reach the top. At what speed (in steps per second) should he walk to reach at the top in \( y/3 \) seconds?

• (A) \( \frac{3}{x} \)
• (B) \( \frac{3x}{2} \)
• (C) \( 2x \)
• (D) \( 3x \)

At 9 AM, train X left from station A towards station B at a uniform speed of 90 km/hr. After 2 hours, train Y left from station B on a parallel track towards station A at a uniform speed of 60 km/hr. If train X reached station B at 2 PM, then at what time the two trains had crossed each other?

• (A) 10:48 AM
• (B) 11:20 AM
• (C) 12:48 PM
• (D) 1:20 PM

9 men working together can complete a piece of work in 12 days. How many days will it take for 24 men to complete the same piece of work?

• (A) 2.5 days
• (B) 3.5 days
• (C) 4.5 days
• (D) 5.5 days

‘A’ can complete a task in 10 days whereas ‘B’ can complete the same task in 15 days. If ‘A" and 'B' work on alternate days starting with 'A’, then what is the total number of days required to complete the task?

• (A) 11
• (B) 12
• (C) 13
• (D) 14

In a certain manufacturing plant, the ratio of the number of workers to managers is 7 : 2. The total number of employees which consists of workers and managers only is 45,000. The manufacturing plant plans to hire new employees such that for every five workers there is a manager. How many new workers should the manufacturing plant hire?

• (A) 26,000
• (B) 20,000
• (C) 15,000
• (D) 10,000

What is the average of first 101 consecutive odd numbers?

• (A) 99
• (B) 100
• (C) 101
• (D) 102

The average of a group of 12 numbers increases by 1.5 when one of the numbers is replaced by 9. What is the value of the number that was replaced?

• (A) -9
• (B) -3
• (C) 0
• (D) 4

A rabbit on a controlled diet is fed a total of 1 kg of carrot every day. There are 2 types of carrots that are fed to the rabbit. Type X carrot contains 60% protein and type Y carrot contains 80% protein. If the rabbit must be fed 650 grams of protein every day, then how many grams of type X carrot must be fed to the rabbit?

• (A) 650 grams
• (B) 750 grams
• (C) 850 grams
• (D) 950 grams

The simple interest and compounded interest (compounded annually) earned on a certain sum of money are Rs.8,000 and Rs.8,400 respectively. If the principal is Rs.40,000 and the rate of interest is 10% per annum, then what is the duration of the investment?

• (A) 1 year
• (B) 1.5 years
• (C) 2 years
• (D) 2.5 years

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

• (A) 8
• (B) 10
• (C) 12
• (D) 14

A person deposited a sum of Rs.50,000 in a fixed deposit account which returns an annual interest of 10 percent compounded annually. However, an income tax of 20% is deducted on the interest amount at the end of each year. What would be the final value of the investment after 2 years?

• (A) Rs.58,000
• (B) Rs.58,320
• (C) Rs.59,400
• (D) Rs.60,500

A certain number of cakes is distributed equally among Alex, Bruce, Clive and Daniel. Alex gives away \( \frac{3}{4} \) of his cakes equally among the other three people. Later Bruce gives half of his cakes to Daniel. What fraction of the total number of cakes does Daniel have in the end?

• (A) \( \frac{5}{16} \)
• (B) \( \frac{7}{16} \)
• (C) \( \frac{15}{32} \)
• (D) \( \frac{17}{32} \)

A fruit juice mixture contains \( \frac{2}{5} \)th pure orange juice and the remaining mixture has \( \frac{1}{3} \)rd pure sweet lime juice. What fraction of the fruit juice mixture is pure fruit (orange and sweet lime) juice?

• (A) \( \frac{2}{5} \)
• (B) \( \frac{3}{5} \)
• (C) \( \frac{7}{15} \)
• (D) \( \frac{8}{15} \)

Manish has a stick of length 1 metre. He marks the stick at thirds (to divide the stick into 3 equal pieces) with a blue pen and at fifths (to divide the stick into 5 equal pieces) with a red pen. He then cuts the stick at all the blue and red markings and hence the stick is divided into 7 pieces. What is the length (in metre) of the smallest piece?

• (A) \( \frac{1}{5} \)
• (B) \( \frac{1}{15} \)
• (C) \( \frac{2}{15} \)
• (D) \( \frac{2}{5} \)

Perimeter of a rectangle is equal to the perimeter of a square whose diagonal is \( 10\sqrt{2} \) cm. If the length of the rectangle is thrice its breadth, then what is the area of the rectangle?

• (A) 45 sq. cm
• (B) 75 sq. cm
• (C) 100 sq. cm
• (D) 200 sq. cm

In trapezium ABCD, AB is parallel to CD and AC = BD. If area of the trapezium is 60 sq cm and the height of the trapezium is 10 cm, then what is the length of the diagonal?

• (A) 10 cm
• (B) \( \sqrt{116} \) cm
• (C) \( 5\sqrt{5} \) cm
• (D) \( \sqrt{136} \) cm

A circle with area 361 sq. cm is inscribed in an equilateral triangle. What is the area (in sq.cm) of the triangle?

• (A) 2743
• (B) 543
• (C) 1083
• (D) 1443

The given bar graph represents the monthly profits of Company X. Please answer the question(s) based on the given data.

In Year 2019, for how many months given in the data, the monthly profit was greater than the average monthly profit for company X in the given 6 months?

• (A) 1
• (B) 2
• (C) 3
• (D) 4

In year 2019, the average monthly profits (in Lakhs) for the given 6 months from April to September lies between which of the following ranges?

• (A) Between 15 and 25
• (B) Between 25 and 35
• (C) Between 35 and 45
• (D) Between 45 and 55

If the average monthly profit for the entire financial year (April 2019 to March 2020) is 1.5 times that of the
first two quarters (April 2019 to September 2019), then what should be the average monthly profit for the next
two quarters (October 2019 to March 2020)?

• (A) Rs.40,00,000
• (B) Rs.60,00,000
• (C) Rs.70,00,000
• (D) Rs.80,00,000

If + means multiplication, — means addition, + means subtraction and x means division, then what is the value of the expression 456 \, \times \, 24 + 38 \div 958 - 364 ?

• (A) 126
• (B) 127
• (C) 128
• (D) 129

If \( + \) means multiplication, \( - \) means addition, \( + \) means subtraction and \( \times \) means division, then what is the value of the expression
\[ [18+15+20] \times [(3.2-9.4) \div 7.6]? \]

• (A) 30
• (B) 40
• (C) 50
• (D) 60

For a positive number \( N \), if \( N^2 \) is completely divisible by 24, then which of the following is the greatest number by which \( N \) must be completely divisible?

• (A) 6
• (B) 12
• (C) 18
• (D) 24

In a school with 400 students, the number of boys is 3 times the number of girls. If 70 percent of the boys walk to school and 60 percent of the girls walk to school, then what percentage of the total students in the school walk to school?

• (A) 60%
• (B) 62.50%
• (C) 65%
• (D) 67.50%

A certain manufacturer sells an item to the wholeseller at a profit of 20% of the cost price. The wholeseller sells the item further to the retailer at a profit of 20% of his cost price. If the retailer sells the item further to the consumer at a profit of 20%, then the buying price for the consumer is what percentage above the cost price of the manufacturer?

• (A) 60%
• (B) 62.8%
• (C) 68.2%
• (D) 72.8%

During a summer sale, additional tax at the rate of 5% of the discounted price is levied on discounted items. If the marked price of a shirt is Rs.2,500, and a discount of 30% is offered on the shirt during the summer sale, then what would be the final selling price of the shirt after the extra tax?

• (A) Rs.1,750
• (B) Rs.1,822.50
• (C) Rs.1,837.50
• (D) Rs.1,875

The marked price of a bicycle is Rs.10,000. Manish bought the bicycle during the summer sale for a discount of 33.33%. If Manish later sold the bicycle to Rahul for a price equal to the original marked price of the bicycle, then what was the percentage of profit earned by Manish?

• (A) 25%
• (B) 33.33%
• (C) 50%
• (D) 66.67%

For every 2 boy students there are 3 girl students and for every 4 male teacher there are 5 female teachers. If the ratio of number of teachers to the number of students is 1:10, then which of the following is the ratio of the number of boy students to the number of male teachers?

• (A) 36:5
• (B) 27:2
• (C) 9:1
• (D) 54:5

There are two laps in a race. An athlete ran the first lap at an average speed of 20 m/s. However, he could manage an average speed of only 10 m/s in the second lap. What is his average speed for the complete race?

• (A) 11.67 m/s
• (B) 12.50 m/s
• (C) 13.33 m/s
• (D) 15 m/s

Two trains running in the same direction on two parallel tracks take 30 seconds and 60 seconds to cross a stationary pole. If the faster train takes 50 seconds to overtake the slower train completely, then what is the ratio of the speed of the faster to the slower train?

• (A) 11:2
• (B) 9:2
• (C) 7:2
• (D) 5:2

A train crosses a man walking in the same direction as that of the train at the speed of 26 m/s in 13 seconds and a boy walking in the opposite direction of that of the train at the speed of 18 m/s in 11 seconds. What is the speed of the train?

• (A) 67 m/s
• (B) 134 m/s
• (C) 268 m/s
• (D) 536 m/s

Machine A produces 90 toys in 15 minutes and machine B produces 60 toys in 30 minutes. If both the machines run simultaneously, then how many minutes will be required to produce 400 toys?

• (A) 35
• (B) 40
• (C) 45
• (D) 50

If 4 identical taps can fill a 100-litre tank in 6 hours, then how many hours will be required to fill a 150-litre tank by 8 such taps?

• (A) 3 hours
• (B) 4.5 hours
• (C) 6 hours
• (D) 7.5 hours

Working together, A and B can complete a work in 10 days, B and C can complete the same work in 12 days and C and A can complete the same work in 15 days. If A, B and C work together, then how many days will be required to complete the work?

• (A) 4
• (B) 6
• (C) 8
• (D) 10

If \( + \) means multiplication, \( - \) means addition, \( \div \) means subtraction and \( \times \) means division, then what is the value of the expression
\[ 12.5 + 14 \times 8.75 - 12 ? \]

• (A) 20
• (B) 22
• (C) 30
• (D) 32

Fill in the blanks with the correct option:

One of my dogs is _______ very moody dog.

• (A) a
• (B) an
• (C) the
• (D) No article required

Fill in the blanks with the correct option:

After eating _______ fruit without washing it, I developed _______ itchy rash.

• (A) a, a
• (B) the, an
• (C) the, the
• (D) an, a

Fill in the blanks with the correct option:

All _______ people I work with are young.

• (A) No article required
• (B) an
• (C) a
• (D) the

Fill in the blanks with the correct option:

Although I am _______ busy person, I have enrolled myself _____ for Spanish classes.

• (A) a, No article required
• (B) an, the
• (C) No article required, an
• (D) the, the

Fill in the blanks with the correct option:

Robert is _______ one who has written _______ book about worsening environmental conditions.

• (A) a, the
• (B) the, a
• (C) an, a
• (D) the, an

Fill in the blanks with the correct option:

I do not remember _______ day when I have seen Roshan with _______ smile on his face.

• (A) the, No article required
• (B) a, a
• (C) the, an
• (D) No article required, an

Fill in the blanks with the correct option:

Is my desire to settle in _______ United States _______ unjustified dream?

• (A) the, no article required
• (B) No article required, the
• (C) the, an
• (D) No article required, an

Fill in the blanks with the correct option:

I will be with you ------ a moment.

• (A) in
• (B) at
• (C) above
• (D) until

Which of the following prepositions fill the blanks correctly?

a)on,
b) in,
c) at,
d) over,
e) under,
f) across,
g) towards

The dog ran ______ the road ______ its master who was standing ______ a tree ______ rain.

• (A) a, e, d, f
• (B) b, c, e, f
• (C) f, g, e, b
• (D) b, d, e, f

Fill in the blanks with the correct option:

We have ______ of financial problems but are still managing to survive.

• (A) lots
• (B) none
• (C) much
• (D) several

Fill in the blanks with the correct option:

_______ time my mom cooks chicken at home, I eat twice the amount I normally eat.

• (A) Many
• (B) Some
• (C) All
• (D) Every

Fill in the blanks with the correct option:

Thank you for _______ the favours shown to me at _______ juncture.

• (A) both, several
• (B) all, every
• (C) some, each
• (D) lots of, all

Fill in the blanks with the correct option:

She bought skirts but returned __ of them the next day.

• (A) much, much
• (B) several, both
• (C) many, most
• (D) some, each

In which of the following sentences is the quantifier ‘fewer’ used INCORRECTLY?

a) I have received fewer advices from my mother than my father.

b) Raghu will need fewer tools than what you have.

c) Jim's requirement is fewer than your requirement.

d) The pain received by him were fewer so no action was taken.

• (A) b and d
• (B) a, c, d
• (C) a, b, c
• (D) c and d

Match the following Quantifiers in column 1 with their respective nouns in column 2:


\begin{tabular{c|c
Column 1 & Column 2

i. Much & a. Children

ii. Lots of & b. Tables

iii. Many & c. Help

iv. Several & d. Control
\end{tabular

• (A) i-a, ii-c, iii-d, iv-a
• (B) i-d, ii-a, iii-c, iv-b
• (C) i-b, ii-c, iii-a, iv-d
• (D) i-c, ii-d, iii-b, iv-a

According to the passage, DNA determines all of the following EXCEPT;

• (A) Colour of the eye
• (B) Height of the person
• (C) Behaviour of the person
• (D) Time of a person’s death

Which of the following syndromes is caused by an extra X chromosome?

• (A) Down syndrome
• (B) Klinefelter syndrome
• (C) Turner syndrome
• (D) XYY syndrome

Cloning was first successfully achieved in the famous example of

• (A) Dolly the sheep
• (B) Dolly the cat
• (C) Dolly the cow
• (D) Dolly the pigeon

According to the passage, which of the following is NOT a true statement?

• (A) Social and environmental factors can alter genetic expression.
• (B) Characteristics of a person depend on the subsections of DNA, genes.
• (C) Every living creature acquires a specific set of chromosomes after birth.
• (D) Nucleus of a cell contains DNA, histone protein, and other structural proteins.

Controversy surrounding the manipulation of chromosomes in human beings is because

• (A) people consider it incomplete
• (B) it is premature conclusion
• (C) such research is costly
• (D) the process is unethical

Genetic counselling is available for families

• (A) to identify if any abnormalities exist and if they will be passed on to offspring
• (B) because they must be prepared to tackle the side effects of abnormalities
• (C) to prepare them for the eventual abnormalities among all their offspring
• (D) because it will help parents to welcome their newly born baby better

Which of the following sentences is INCORRECTLY written?

• (A) My neighbour’s dog grow! at me
• (B) The culture of respecting elders is slowly waning.
• (C) Fish and hot rice is my father’s favourite dish.
• (D) Neither Ram nor Shyam are responsible for this mishap.

Which of the following sentences is CORRECTLY written?

• (A) Itis boring when I went home yesterday.
• (B) Yesterday my going home is boring.
• (C) I went home yesterday and it is boring.
• (D) It was boring when I went home yesterday.

Which of the following sentences are INCORRECT?

• (A) This route is more long than we all expected
• (B) My suspicion about him proves to be truthful
• (C) All the advices to stay calm fell on deaf ears
• (D) He agreed to share his property with his sister.

Fill in the blanks with the correct option:


Sam _____ in Bombay ever since his childhood.

• (A) was living
• (B) will be living
• (C) has been living
• (D) is living

Fill in the blanks with the correct option:

------- you here last night?

• (A) Were
• (B) Are
• (C) Be
• (D) Is

Fill in the blanks with the correct option:

The principal ______ you tomorrow because he is ______ Delhi

• (A) must not see, has to leave
• (B) not seeing, going to leave
• (C) cannot see, leaving for
• (D) will not see, left for

Identify the synonym of the underlined word:

You must follow all the \underline{directives even after getting vaccinated.

• (A) coverage
• (B) news
• (C) masters
• (D) instructions

Identify the synonym of the underlined word:

Please do not \underline{berate me for this mischief; I am not responsible.

• (A) praise
• (B) notify
• (C) scold
• (D) hail

Select the two answer choices that, when used to complete the sentence, fit the meaning of the sentence as a whole and produce completed sentences that are alike in meaning.

Do not give me------ flattery; I like you to be genuine.

• (A) gross, fake
• (B) artificial, fake
• (C) positive, good
• (D) absolute, fake

In which of the following sentences is the article used INCORRECTLY?

A) Mary like her father is training to be an engineer.

B) My brother is married to a chinese girl.

C) I want to spend a Saturday with you.

D) What an unique experience!

• (A) A and D
• (B) A and C
• (C) A and B
• (D) C and D

In which of the following sentences is the article used INCORRECTLY?

A) Gloria is the one who knows the plan thoroughly.

B) Give him an another chance to complete the work.

C) I bought a book, a pencil and an orange for myself.

D) It is an honour to have you as the chief guest of today's function.

• (A) B and D
• (B) A and C
• (C) B and C
• (D) A and D

Fill in the blanks with the correct option:

The minister spoke ------- favour ------- imposing a complete lockdown.

• (A) for, off
• (B) with, over
• (C) in, of
• (D) about, for

Identify in which of the following sentences is the preposition ‘by’ used CORRECTLY.

a) Can you come by to my house tomorrow?

b) The book was published by a leading publisher.

c) The government is planning to re-open the colleges by Monday.

d) The management accepted to resolve the problem by appointing a committee.

• (A) c, d
• (B) a, c
• (C) b, d
• (D) a, b, c

Identify in which of the following sentences is the preposition ‘at’ used correctly.

a) At the very onset let me congratulate you on your success.

b) The desert at Rajasthan is called ‘The Great Indian desert’.

c) I was seated at the table with lots of pomp and show.

d) Will this be available in the hotel at the hill?

• (A) a, c
• (B) b, d
• (C) a, b
• (D) c, d

Fill in the blanks with the correct option:

I do not know much ______ your plans but I feel sorry ______ you and your sister.

• (A) with, at
• (B) for, in
• (C) until, about
• (D) about, for

Which of the following prepositions fill the blanks correctly?


a) along

b) it,

c) through,

d) between,

e) to,

f) in,

g) from

"_________ Morning _____ has been raining heavily because of depression __ the Bay of Bengal, according _____ the weather forecast."

• (A) c, b, g, d
• (B) g, b, f, e
• (C) a, d, f, g
• (D) c, b, d, f

Which of the following prepositions fill the blanks correctly?


a) In front of

b)it

c)through

d) between

e)to

f) before

g)from


"Standing __ the two roads, I was finding __ difficult ------ choose ---- two paths."

• (A) d, e, f, g
• (B) c, b, d, f
• (C) b, d, f, e
• (D) a, b, e, d

Identify from the list all the quantifiers that can fit the blank correctly:

"__ food is cooked and you need not be anxious."


a) Much

b) Many

c) Enough

d) All

e) Several

f) Lots of

• (A) a and b
• (B) b, d, and e
• (C) a, c, and f
• (D) b and e

In which of the following sentences is the quantifier used CORRECTLY?

a) I have observed him many a time before reprimanding him.

b) Any time you want me to help, I will be ready to do my bit.

c) Much of the spectators were disappointed with the performance of the team.

d) Both people were asked to vacate the scene immediately.

• (A) a and b
• (B) a, b, c, and d
• (C) b and d
• (D) c and d

According to the passage, which of the following statements is a TRUE statement?

A) Reducing child mortality rate has no impact in increasing population rate.

B) Once a person is free from the control of sense organs he becomes less wise.

C) The whole world acknowledges the fact that Germans are the master race.

D) Knowledge devoid of wisdom can be harmful leading to human destruction.

• (A) A
• (B) B
• (C) C
• (D) D

The main purpose of the passage is to

A) Explain how to cultivate knowledge and avoid egoistic nature

B) Identify personalities who combined wisdom and knowledge

C) Convey that knowledge and wisdom must go hand in hand

D) List out all the differences between knowledge and wisdom.

• (A) A
• (B) B
• (C) C
• (D) D

Which of the following is NOT an antonym of CHALLENGING?

A) deny

B) answer

C) ignore

D) confront

• (A) A
• (B) B
• (C) C
• (D) D

Identify all the synonyms of the given word: GLOOMY

a) Bleak

b) Dark

c) Bright

d) Cheerful

e) Dull

• (A) a, b, e
• (B) b, c
• (C) c, d
• (D) a, b, c, d

Identify all the synonyms of the given word: TRIUMPH

a) lose

b) surrender

c) fail

d) conquer

e) overcome

f) dominate

• (A) a, d, e
• (B) c, e, f
• (C) d, e, f
• (D) b, d, e, f

Select the two answer choices that, when used to complete the sentence, fit the meaning of the sentence as a whole and produce completed sentences that are alike in meaning.

Learn to \underline{\hspace{1cm when you take help from someone.


a) Recover

b) Request

c) Reciprocate

d) Refuse

e) Repay

f) Regret


Options:

• (A) a)
• (B) b)
• (C) c)
• (D) d)
• (5) e)
• (6) f)

Select the two answer choices that, when used to complete the sentence, fit the meaning of the sentence as a whole and produce completed sentences that are alike in meaning.


Although he is famous for his \underline{\hspace{1cm nature, he is often criticized for his rude behaviour.


a) Unmindful

b) Disagreeable

c) Greedy

d) Biased

e) Benevolent

f) Generous

• (A) a, b
• (B) c, d
• (C) e, f
• (D) b, d

Select the two answer choices that, when used to complete the sentence, fit the meaning of the sentence as a whole and produce completed sentences that are alike in meaning.

The detective submitted \underline{\hspace{1cm evidence to prove that the arrested person was the one who had committed the crime.


a) Copious

b) Rare

c) Meager

d) Ample

e) Incomplete

f) Flawed

Which of the following sentences is CORRECTLY written?

Which of the following options can replace the underlined part of the sentence correctly?

\underline{The young heros recent release is an unexpected hit.


a) The number of questions that you ask is never ending.

b) All the food that you have ordered for your friends is going waste.

c) Most of the birds will be migrating to safer places within winter.

d) I find it difficult to paying attention to his constant complaints

Which of the following sentences are CORRECTLY written?


a) The number of questions that you ask is never ending.

b) All the food that you have ordered for your friends is going waste.

c) Most of the birds will be migrating to safer places within winter.

d) I find it difficult to paying attention to his constant complaints.

• (A) a and b
• (B) c and d
• (C) b and c
• (D) a and d

Which of the following sentences is CORRECT?

A) The police is responsible for maintaining law and order in the society.

B) Improving one's status is always not so important for oneself.

C) I cannot give up everything that I am not wanting or liking.

D) If you had told me the truth, I would have helped you.

• (A) A
• (B) B
• (C) C
• (D) D

Which of the following sentences is INCORRECTLY written?

A) Raghav is working with me since three years.

B) Your behaviour is the best among all your friends.

C) The place you are shifting to is big enough.

D) Can you confirm if anyone is joining the team?

Which of the following options can replace the underlined part of the sentence correctly?

The percentage of Covid-19 cases and the number of deaths from Covid-19 \underline{is reflection of the level of spread of the pandemic.

• (A) are reflective of the level of spread of the pandemic
• (B) is reflecting the levels of spreading of the pandemic
• (C) are reflecting the spreading levels in the pandemic
• (D) is reflection in the levels of spreading in the pandemic

Fill in the blanks with the correct option:

She ____ as a craft teacher before she ____ a famous painter.

• (A) had worked, became
• (B) is working, becomes
• (C) has worked, becomes
• (D) was working, had become

Fill in the blanks with the correct option:

Yesterday, when my dad ____ out to buy his medicines he ____ with an accident.

• (A) is going, meets
• (B) will go, met
• (C) was going, meeting
• (D) went, met

Fill in the blanks with the correct option:

I ____ tennis but my father used ____ cricket.

• (A) will play, to playing
• (B) played, to plays
• (C) play, to play
• (D) was playing, to playing

Fill in the blanks with the correct option:

The teacher ____ not satisfied with the responses of the students so ____ lesson in the next class.

• (A) is, will repeat
• (B) is, was repeating
• (C) was, to repeat
• (D) was, repeating

Fill in the blanks with the correct option:

By the time she ____ what was happening she ____ all the money from her account.

• (A) realised, had lost
• (B) was realising, lost
• (C) realises, is losing
• (D) was realising, was losing

Fill in the blanks with the correct option:

While I ____ in my office, ____ a call from the chief minister.

• (A) am working, was getting
• (B) will be working, receive
• (C) was working, received
• (D) would work, I had received