Quantitative Aptitude PYQs

If the sum of the diagonals of a rhombus is L and the perimeter is 4P, find the area of the rhombus?

Simplify.

cos (36° - A) cos (36° + A) + cos (54° - A) cos (54° + A)

If a + b = 10 and ab = 9, then the value of a - b is:

Find the value of the following expression.

\(\frac{\left[\frac{5}{8}-\left{\frac{3}{8}-\left(\frac{5}{8}-\frac{3}{8}\right)\right}\right] \text { of } 8.8-1.2}{4 \frac{1}{6} \div 2.5 \times 2 \div \frac{1}{6} \text { of } 60+\left(\frac{3}{4}-\frac{3}{8}\right)}\)

If the 9-digit number 97x4562y8 is divisible by 88, what is the value of (x² + y²) for the smallest value of y, given that x and y are natural numbers?

Due to pandemic, the population of a city reduces at the rate of 2% per annum. What will be its total population after 2 years if the present population of the city is 45,000?

If cos A = sin²A, and a sin¹²A + b sin¹⁰A + c sin⁸A + sin⁶A = 1, then a + b + c = ?

The given pie chart represents the percentage of people in a city who are interested to buy the laptop of five different companies - A, B, C, D and E.

The number of people interested to buy company A's laptop is what percentage of the number of people interested to buy company D's laptop?

In a race of 1200 m, Ram can beat Shyam by 200 m or by 20 sec. What must be the speed of Ram?

If a, b and c are positive integers such that a² + b² = 82 and b² + c² = 65, then the value of 2a + 7b - 3c is:

If a man goes from place A to B at a speed of 12 km/h and return at a speed of 18 km/h, then the average speed for the whole journey is:

Evaluate \(\frac{\sin 54^{\circ}}{\cos 36^{\circ}}+\frac{\sec 46^{\circ}}{\operatorname{cosec} 44^{\circ}}\)

The income of Raju is 25% more than that of Manju. Raju got a 25% rise in his income, and Manju got a 40% rise in his income, the percentage increase in their combined incomes is:

The average height of three kids is 56 cm and their heights are in the proportion of 7 ∶ 8 ∶ 9. Find the heights of all the three.

The following bar diagram shows the number of students who opted for the different subjects in the year 2020 and 2021.

Find the ratio of students opting Economics to students opting Physical Education in 2020.

The sum of the odd divisors of 216 is:

What is the length of the longest rod that can be placed in a room of dimensions 12 m × 9 m × 8 m?

If the arc of a circle of radius 30 cm has a length of 19 cm, then the angle (in degrees, rounded off to two decimal places) subtended at the centre of the circle is:

Take \(\pi=\frac{22}{7}\)

The speeds of A and B are in the ratio 3 ∶ 5. A takes 30 minutes more than B to reach the destination. In how much time does A reach the destination?

P and Q can do a piece of work in 14 days. Q and R together can do it in 21 days. If P is twice as good a workman as R, then in how many days Q alone can do the work?