List of top Questions asked in NPAT- 2021

A question is given, followed by two statements. Identify which of the statements is/are sufficient to answer the question.
Question:
Among five objects, V, W, X, Y and Z, V weighs as much as X. Which object is the second heaviest among all?
Statements:
I. Y is twice as heavy as W. W is 1.5 times as heavy as Z. W and Z together weigh as much as V and X together.
II. Y is twice as heavy as Z. Both Y and W together weigh as much as X and Z together.
Vikash, an SC candidate, completed his Master's Degree in Commerce scoring 65% of marks in 2016 at the age of 23. Then he worked as an Accountant for 2 years in an organisation. He has secured 62% in the interview and 60% in the written test.
A team of four is to be selected from among four male players A, B, C, D and four female players E, F, G, H, meeting the given selection criteria:
i. C cannot go with E.
ii. F and C have to be together.
iii. D cannot be put with H.
iv. B and H cannot go together.
v. A will always go with E.
If there would be an equal number of males and females in the team, which option represents the four players who can be selected as a team?
‘A \# B’ means ‘A is not smaller than B.’
‘A @ B’ means ‘A is neither smaller than nor equal to B.’
‘A % B’ means ‘A is neither greater than nor equal to B.’
‘A \$ B’ means ‘A is neither smaller than nor greater than B.’
‘A \& B’ means ‘A is not greater than B.’ ‘A \& B’ means ‘A is not greater than B.’
Read the following statements and conclusions carefully and decide which of the conclusions is/are true.
Statements:
\( P % R; Q \$ S; R \# Q; S \& T \)
Conclusions:
I. \( S \& R \)
II. \( P @ S \)
III. \( T \# Q \)
Four figures have been given, out of which three are alike in some manner and one is different.
Select the figure that is different.
Select the Venn diagram that best represents the relationship between the following classes.
Classes:
Relatives, Educated, Males
Joseph was born into an SC family in 1988. He completed his Master's Degree in Commerce in 2015 and secured 67% of marks. His written test and interview scores are 65% and 60%, respectively. He worked as a Marketing Manager in an organisation for 2 years.
Select the figure that will come next in the following series.
Among five objects, M, N, P, Q and R, P is twice as heavy as M and N is thrice as heavy as R. Q is one and half times as heavy as M and twice as heavy as R. Which of the five objects is the heaviest?
A shopkeeper marks an article at such a price that after giving a discount of \(12\frac{1}{2}%\) on the marked price, he still earns a profit of 15%. If the cost price of the article is ₹385, then the marked price (in ₹) of the article will be:
A vessel contained a solution of acid and water in which water was 64%. Four litres of the solution were taken out of the vessel and the same quantity of water was added. If the resulting solution contained 30% acid, then the quantity (in litres) of the solution, in the beginning in the vessel, was:
A train travelling at a speed of 72 km/h crosses another train, having double its length and travelling in the opposite direction at a speed of 54 km/h, in 12 s. It also passes a tunnel in 40 s. What is the length (in m) of the tunnel?
If the standard deviation of \( x_1, x_2, x_3, \dots, x_n \) is \( k \), then what will be the standard deviation of \( \frac{10x_1 - 7}{2} \), \( \frac{10x_2 - 7}{2} \), ......., \( \frac{10x_n - 7}{2} \)?
The ratio of the incomes of A and B in 2019 was 5 : 4. The ratio of their individual incomes in 2019 and 2020 were 4 : 5 and 2 : 3, respectively. If the total income of A and B in 2020 was ₹7,05,600, then what was the income (in ₹) of B in 2020?
The income of A is \( \frac{2}{3} \) of B’s income and the expenditure of A is \( \frac{3}{4} \) of B’s expenditure. If one-third income of B is equal to the expenditure of A, then the ratio of savings of A and B will be:
There are \( n \) numbers. When 50 is subtracted from each of these numbers, the sum of the numbers so obtained is -10. When 46 is subtracted from each of the original \( n \) numbers, then the sum of the numbers so obtained is 70. What is the mean of the original \( n \) numbers?
A trader sells an article at a profit of 10%. If he had bought it for 25% less and sold for ₹20 more over the actual selling price, he would have gained 60%. What is the original cost price (in ₹) of the article?
The sum of the first six terms of an arithmetic progression is 54 and the ratio of the 10th term to its 30th term is 11 : 31. What is the 60th term of the progression?
What is the variance of the following data? \( 9, 10, 13, 14, 6, 11, 8, 7, 4, 18 \)
If U = { 1, 2, 3, 4, 5, 6, 7, 8 } is the universal set, A = { 2, 3, 6, 7 }, B = { 3, 4, 5, 6 }, and C = { 5, 6, 7, 8 }, then n[̅A ∩ (C - B)] + n[̅A ∩ (B ∨ C)] = k, where ̅A is the complement of set A. The value of k is:
In \( \triangle ABC \), \( \angle B = 90^\circ \), \( BC = 6 \, \text{cm} \), and \( AC = 10 \, \text{cm} \). What is the value of \( (\sin 2A - \cos 2A) \)?
Let \( U \) be the universal set, and \( A \) and \( B \) be the subsets of \( U \). If \( n(U) = 450 \), \( n(A) = 200 \), \( n(B) = 205 \), and \( n(A \cap B) = 15 \), then \( n(\overline{A}\cap \overline{B}) \) is equal to:
If \( 3x^2 - 5x + 1 = 0 \), then the value of \( x^2 + \frac{1}{9x^2} \) will be:
\[ \frac{\tan^2 \theta + \cot^2 \theta + 2}{\sec \theta \csc \theta}, \ 0^\circ<\theta<90^\circ, \text{ is equal to:} \]
If \( -4 \) is a root of the equation \( x^2 + ax - 4 = 0 \) and the equation \( x^2 + ax + b = 0 \) has equal roots, then what will be the value of \( \sqrt{a^2 + b^2} \)?