List of top Questions asked in NPAT

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?
A cylindrical container of 36 cm height and 48 cm diameter is filled with sand. Now, its sand is used to form a conical heap of radius 30 cm. The height (in cm) of the conical heap is:
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 sum of the first 20 terms of the series: \(2^2 + 5^2 + 8^2 + \dots\), is:
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?
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 loan of 1,02,000 is to be paid back in two equal annual instalments. If the rate of interest is 4% p.a., compounded annually, then the total interest charged (in ₹) under this instalment plan is:
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:
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?
What should be added to the following expression so that the sum is 1? \[ \frac{9}{4} \times \frac{7}{18} \text{ of } \frac{72}{49} - \frac{7}{5} \text{ of } \frac{5}{28} \times \frac{2}{5} + \frac{3}{4} \times 2 \div \frac{31}{7} - \frac{2}{3} \times 7 \times \frac{3}{10} \]
The value of \[ \sqrt{1 + \frac{\sqrt{3}}{2}} - \sqrt{1 - \frac{\sqrt{3}}{2}} \text{ is:} \]
The value of \( \left( \frac{2}{3} \div \frac{8}{15} + 7 \times \frac{1}{2} \times 3 \times 5 \right) \div \left( 5 \div \frac{5}{6} - 3 \frac{1}{2} \times 2 \times \frac{1}{10} \right) \) of \( 2 \frac{7}{8} \) is:
What is the value of \[ \frac{(1.5)^4 + (1.2)^4 + 3.24}{(1.5)^2 + (1.2)^2 - 1.8}? \]
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:
The value of \( \frac{(9 \times 0.81 - 4 \times 0.64)}{(3 \times 0.9 + 2 \times 0.8)} \times (9 \times 0.81 + 4 \times 0.64 - 12 \times 0.72) \) lies between:
For the nonempty sets \( A \) and \( B \), which of the following is NOT true? \( \overline{A} \) is the complement of A
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:
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:
Let \( A = \mathbb{R} - \{ 3 \} \) and \( B = \mathbb{R} - \{ 1 \} \). Let \( f : A \to B \) be defined by \( f(x) = \frac{x-2}{x-3} \). What is the value of \( f^{-1} \left( \frac{1}{2} \right) \)?
If \( f(x) = \frac{x-1}{x+1} \), then which of the following will be true?
The range of the function \( f(x) = \sqrt{16 - x^2} \) 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
Select the figure that will come next in the following series.
Four figures have been given, out of which three are alike in some manner and one is different.
Select the figure that is different.
‘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.’ Read the following statements and conclusions and decide which of the conclusions is/are true.
Statements:
\( M @ N; S \& W; N \# S; W \$ Z \)
Conclusions:
I. \( N @ Z \)
II. \( S % M \)
III. \( Z @ S \)