List of top Questions asked in NPAT- 2021

The value of \[ \sqrt{1 + \frac{\sqrt{3}}{2}} - \sqrt{1 - \frac{\sqrt{3}}{2}} \text{ is:} \]
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements:
1. Some vegetables are potatoes.
2. All potatoes are roots.
3. Some roots are carrots.
Conclusions:
I. Some roots are vegetables.
II. Some carrots are potatoes.
Priyanka was 25 years old at the time of completing her Master's Degree in Commerce in 2018, with 70% of marks. She has experience of working for one year in the Accounts department of a company. She has secured 60% in the written test and 55% in the interview.
Select the option that is related to the third figure in the same way as the second figure is related to the first figure.
option that is related to the third figure
A question is given, followed by two arguments. Decide which of the arguments is/are strong with respect to the question.
Question:
Should teachers of Indian universities be transferred from one state to another from time to time?
Arguments:
I. Yes. This would help in dissemination of knowledge beyond state boundaries.
II. No. It would be counter-productive as different states have different languages.
Consider the given statement and decide which of the given assumptions is/are implicit in the statement.
Statement:
Farmers are warned not to use chemical fertilizers just for the sake of increasing their crop yield.
Assumptions:
I. Crop yield would decrease as a result of using organic fertilizers.
II. Chemical fertilizers carry harmful effects.
In a family of eight persons, A is the father of B, who is the brother of C. D is the daughter of E, who is married to B. F is the aunt of G, who is the brother of D. B’s nephew H is the son of C and the brother of J. How is E related to J?
A question is given, followed by two statements. Identify which of the statements is/are sufficient to answer the question.
Question:
How is Virat related to Mayank’s son?
Statements:
I. Mayank’s wife is the sister of Virat’s father’s only son.
II. Mayank is the son-in-law of Rohit, whose only daughter Sheela is the sister of Virat.
After getting a Master's Degree in Commerce in 2015 at the age of 22 with 67% of marks, Nisha completed a one-year diploma course in Financial Control, following which she worked as an Accountant in a company for some time. She comes from an SC family. She has secured 72% in the interview and 70% in the written test.
A question is given, followed by two statements. Identify which of the statements is/are sufficient to answer the question.
Question:
Who is the tallest among A, B, C, D and E?
Statements:
I. E is taller than only C. B is taller than both A and C but shorter than D.
II. A is taller than both E and C. B is shorter than only D.
A question is given, followed by two statements. Identify which of the statements is/are sufficient to answer the question.
Question:
What is the ratio of the cost price of an article to its printed price?
Statements:
I. The shopkeeper earns a profit of 8% on selling the article at a discount of 10% on the printed price.
II. The shopkeeper loses ₹15 on selling the article for ₹135 after giving a discount of 10% on the printed price.
A team of four is to be selected from among four Indian cricketers P, Q, R, S and four foreign cricketers W, X, Y, Z, meeting the given selection criteria:
i. P and Y cannot be selected together.
ii. If R is selected, X will also be selected and vice-versa.
iii. Z and R cannot go together.
iv. S and W will always be together.
v. Q cannot be put with Z.
If there would be equal number of Indian and foreign cricketers in the team, which option represents the four cricketers who can be selected as a team?
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements:
1. All herbs are plants.
2. Some shrubs are herbs.
3. Some plants are trees.
4. All trees are living beings.
Conclusions:
I. Some living beings are shrubs.
II. Some trees are shrubs.
III. Some living beings are plants.
IV. Some plants are shrubs.
Which of the following equations would be correct if the signs ‘+’ and ‘\(\times\)’ are interchanged and so also the numbers ‘6’ and ‘12’?
Two persons, on either side of a tower 45 m high, observe the angles of elevation of the top of the tower to be 30° and 60°, respectively. The distance (in m) between the two persons is:
If \( f(x) = \frac{x-1}{x+1} \), then which of the following will be true?
B, D, F, G, and H are sitting in a row facing north. F is sitting to the immediate left of D. There are two persons sitting between D and G. B is sitting adjacent to G and to the immediate left of F. If G is not at any of the extreme ends, who is sitting exactly in the middle?
For the nonempty sets \( A \) and \( B \), which of the following is NOT true? \( \overline{A} \) is the complement of A
Let \( x \) be the median of the data: 13, 17, 52, 56, 65, 35, 77, 39, 15, 37. If 35 is replaced by 53 in the data, then the median of the new data will be \( y \). What is the difference between \( x \) and \( y \)?
The range of the function \( f(x) = \sqrt{16 - x^2} \) is:
In an office, there are 215 employees who drink either tea or coffee. 94 out of them drink tea and 63 drink tea but not coffee. How many employees drink coffee but not tea?
The sum of an infinite geometric progression is 18 and the sum of the squares of the terms of the progression is 81. The first term and the common ratio of the geometric progression are, respectively:
Which option will come next in the following figure series?
The following line graph shows the month-wise ratio of expenditure to income of two persons A and B over a six-month period. Study the graph and answer the questions that follow.
month-wise ratio of expenditure to income of two persons A and B
The following table shows the number of cars (in thousands) manufactured (M), the number of cars rejected (R), and the number of cars sold (S) by four companies A, B, C, and D, over a four-year period. Study the table and answer the questions that follow.
YearCompany ACompany BCompany CCompany D
MRSMRSMRSMRS
2017221.218271.422261.125321.527
2018241.121291.524301.230381.233
2019261.424301.328331.229401.338
2020281.525321.230351.433441.141