List of top Questions asked in NPAT- 2020

Two persons A and B start moving at the same time towards each other from points x and y, respectively. After crossing each other, A and B now take \( \frac{4}{6} \) hours and 6 hours, respectively, to reach their respective destinations. If the speed of A is 72 km/h, then the speed (in km/h) of B is:

You are given a question and two statements. Identify which of the statements is/are sufficient to answer the question.
 If the breadth of a rectangle is 10 cm, then what is its length?
Statements:
I. If the length of the rectangle is increased by 25% and its breadth by 20%, its area increases by 70 cm\textsuperscript{2}.
II. The length remaining the same, if its breadth is increased by 20%, the ratio of the new area to the original area becomes 6:5.
In a year, out of 160 games to be played, a cricket team wants to win 80% of them. Out of 90 games already played, the success rate is \( 66\frac{2}{3} %\). What should be the success rate for the remaining games in order to reach the target?
Select the Venn diagram that best represents the relationship between the following classes.
Wolves, Goats, Mammals

If the signs ‘×’ and ‘+’ are interchanged in each of the given equations, then which one equation would be correct?
Question :
How is Q exactly related to P? Statements:
I. P’s father is the son of Q’s mother.
II. P’s sister R is the daughter of Q’s husband.
The sum of the first 10 terms of the series \[ \frac{7}{3} + \frac{7}{15} + \frac{1}{5} + \frac{1}{9} + \dots \quad \text{where} \quad \text{HCF}(a,b) = 1. \] What is the value of \( |a - b| \)?

You are given a question and two statements. Identify which of the statements is/are sufficient/necessary to answer the question.
 Which is the heaviest of the four objects X, Y, Z and M?
Statements:
I. X and Z together weigh as much as Y and M together. X is twice as heavy as M and half as heavy as Z.
II. X is twice as heavy as M and half as heavy as Y, while Z is one and a half times as heavy as X.
You are given a question and two statements. Identify which of the statements is/are sufficient to answer the question.
Question:
Six friends A, B, C, D, E and F are sitting in a row. D is at one of the extreme ends. Who is exactly at the other end?
Statements:
I. B is sitting to the immediate left of D and F is to the immediate right of C. There are two persons between F and E. C is to the right of D and there are two persons between C and B. B is to the immediate left of A.
II. C is sitting to the immediate right of D and there are two persons between C and B. B is sitting to the immediate left of A.
Consider the given statement and decide which of the given assumptions is/are implicit in the statement.
Statement:
This year the state will not import onions from other states.
Assumptions:
I. The onion production in the state would meet the consumer needs.
II. The quality of onions grown in other states is poor.
A and B are two sets such that \( n(A) = 12 \), \( n(B) = 15 \) and \( n(A \cup B) = 20 \). Then, \( n(B \cap A') - n(A \cap B') = ?

Six friends A, B, C, D, E and F are sitting in a straight line. A is third to the right of F. D is to the immediate left of F and is at one end of the row. B is sitting between A and C. There is one person between B and E. Who is sitting at the other end?
If \( \sec \theta + \tan \theta = p \), then \( \frac{\sin \theta - 1}{\sin \theta + 1} \) is equal to:
Let \( A = \{ 1, 2, 5 \} \), \( B = \{ 1, 2, 3, 4 \} \), and \( C = \{ 2, 5, 6 \} \) be the three sets. If \( D = [A \times (B \cap C)] \cap [(A - B) \times C] \), then which of the following is true?
In an examination, 82% of students passed in Mathematics, 70% passed in Science and 13% failed in both the subjects. If 299 students passed in both the subjects, then the total number of students who appeared in the examination is:
The number of elements in sets X and Y are $p$ and $q$ respectively. The total number of subsets of X is 112 more than that of Y. What is the value of $(2p - 3q)$?
Let \( U \) be the universal set, and \( A, B, C \) are the sets such that \( C \subset A \) and \( B \cap C = \emptyset \). If \( n(U) = 105 \), \( n(A) = 58 \), \( n(B) = 50 \), \( n(A \cap B) = 20 \) and \( n(A \cup C) = 32 \), then \( n(A \cup B) - n(B \cap C) \) is:
Let A = \(\{2, 3, 4, 8, 10\}\), B = \(\{3, 4, 5, 10, 12\}\), and C = \(\{4, 5, 6, 12, 14\}\) be the three sets. If $D = ((A \cup B) \cap (A \cup C)) - (B \cap C)$, then the number of elements in D is:
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
Water is flowing at the rate of 4 km/h through a pipe of radius 7 cm into a rectangular tank with length and breadth as 25 m and 22 m, respectively. The time (in hours) in which the level of water in the tank will rise by 28 cm is \[ \text{(take } \pi = \frac{22}{7}) \]
The given pie charts show the percentage distribution of the total employees (executives and non-executives) and that of the executives in different departments of a company. Study the charts and answer the questions that follow.
pie charts show the percentage distribution
The given pie diagram shows the percentage of students in five different universities in an academic year. The table shows the ratio of male to female students and the percentage of foreign students in each university. Study the information and answer the questions that follow.
students in five different universities
The following graph shows the percentage of profit of two Companies C and D over the period of four years.
Study the graph and answer the questions that follow.
profit of two Companies C and D
Consider the following distribution:
mean of the distribution is 8.84 years. 
The mean of the distribution is 8.84 years. The value of x is:

What is the standard deviation of the given data set: 25, 50, 45, 30, 70, 42, 36, 48, 34, 60 (correct to two decimal places).