List of top Quantitative Aptitude Questions asked in NPAT

A, B and C have some marbles. The ratio of the number of marbles with A to the number with B is 2:1. Also, the number of marbles with A to the number with C is 1:4. What is the approximate percentage of the total number of marbles that are with C?
When working individually, A and B take 6 days and 8 days to paint a fence. They started working together. After 2 days, C also joined them. If the work was completed after 1 more day (3 days in total), in how many days can C paint the entire fence alone?
A milk and honey mixture is 20% honey. Another 120 ml of honey is added to it. After this addition, the resulting mixture has 150 ml of honey. What is the volume of milk in the final mixture?
A can draw 10 illustrations in 5 days. B is three times as productive in twice the amount of time (in comparison to A). How many illustrations can B draw in a day?
If the median of a set consisting of \( n \) consecutive odd positive integers is an even integer, the sum of the mean and the range of the set is an odd integer.
If \( p \) and \( q \) are numbers such that the pair of linear equations \( (p + 2)x + (q - 1)y = 10 \) and \( (q + 2)x + (p - 1)y = 10 \) have infinite solutions for \( x \) and \( y \), then \( p = q \).
In triangle ABC, AB = 6 cm, AC = BC = 7 cm. Also, CP is a median. Which of the following is the area of triangle ABC?
triangle ABC, AB = 6 cm, AC = BC = 7 cm.
For a set of \( n \) integers in arithmetic progression, the difference between twice the median of the set and the range of the set is equal to twice the first term.
ABC and PQR are 2 identical equilateral triangles overlapping each other.
The area of the overlapping region PXBY is equal to twice the area of triangle AXP.
2 identical equilateral triangles overlapping each other.
If \( x \), \( y \), and \( z \) are positive integers and \( p = \left( \left( (x - 1)^2 / |x| \right) + 2 \right) + \left( \left( (y - 1)^2 / |y| \right) + 2 \right) + \left( \left( (z - 1)^2 / |z| \right) + 2 \right), \) then \( p<6 \).
Two sets of numbers having medians \( p \) and \( q \) respectively are combined to form a new set. If \( p>q \), then the median \( m \) of the new set satisfies \( q<m<p \).
There are four questions based on the table that follows, one of which is asked alongside.
The table shows the data regarding the percentage change in the number of units manufactured by a plant during different months in Year 2.
MonthPercentage change (over last month)Percent point change in percentage change (over last month)
Jan10%-20
Feb18%8
Mar-5%-20
Apr6%8
May6%-8
Jun6%-8
Jul6%-8
Note: Round up the decimal values obtained (if any) during calculations to the nearest integer value.
Given: \( a \) and \( b \) are positive integers and \( a>b \). The median of a set consisting of 5 terms: \( a^2, ab, b^2, (a - b)^2 \) and \( (a + b)^2 \) is \( ab \).
A cone fits perfectly (height-wise) inside a 6 cm × 8 cm × 10 cm cuboid such that the entire base of the cone rests on one of the faces of the cuboid. Also, the circumference of the base of the cone just touches one of the pairs of the opposite sides of the face of the cuboid which is beneath it. The volume of the cone is \( 32 \pi \, \text{cm}^3 \).
Given: A right-angled triangle has sides of lengths 6 cm, 8 cm, and 10 cm. Quantity A: Volume of the cone formed by rotating the triangle about the side of length 6 cm. Quantity B: Volume of the cone formed by rotating the triangle about the side of length 8 cm.
Given: \( 3^{2x} - 12 \times 3^{x} + 27 = 0 \).
Quantity A: x
Quantity B: \(3^{x}\)
Given: \( f(x) = \left( 1 + \frac{1}{x} \right) \) and \( f(k) \times f(k+1) \times f(k+2) \times \cdots \times f(k+99) = 11 \). Quantity A: k
Quantity B: 11
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?
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?
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:
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?