List of top Quantitative Ability and Data Interpretation Questions

Find the value of sin6 15° + sin6 75° + 6sin2 15° + sin2 75°/sin4 15° + sin4 75° + 5sin2 15° sin2 75°.

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The table captures the Age and Gender distribution of COVID-19-positive cases in a country. However, a part of the data is missing, represented through unknown categories.
In the unknown age category, the ratio of males (unknown age category) and females (unknown age category) to total unknown cases (unknown age category) is the same as the ratio of males (All) and females (All) to the total (total confirmed COVID positive cases). How many females were in the unknown age category (rounded to the nearest integer)?

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The table captures Age and Gender distribution of COVID positive cases in a country. However, a part of data is missing, represented through unknown categories.
In which age category, the percentage of female COVID patients is the HIGHEST?

Raju and Sarita play a number game. First, each one of them chooses a positive integer independently. Separately, they both multiply their chosen integers by 2, and then subtract 20 from their resultant numbers. Now, each of them has a new number. Then, they divide their respective new numbers by 5. Finally, they added their results and found that the sum is 16. What can be the maximum possible difference between the positive integers chosen by Raju and Sarita?

A painter draws 64 equal squares of 1 square inch on a square canvas measuring 64 square inches. She chooses two squares (1 square inch each) randomly and then paints them. What is the probability that two painted squares have a common side?

Five students appeared for an examination. The average mark obtained by these five students is 40. The maximum mark of the examination is 100, and each of the five students scored more than 10 marks. However, none of them scored exactly 40 marks. Based on the information given, which of the following MUST BE true?

ABC is a triangle with BC = 5. D is the foot of the perpendicular from A on BC. E is a point on CD such that BE = 3. The value of AB²-AE²+6CD is:

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The three graphs below capture the relationship between economic (and social) activities and subjective well-being. The first graph (Graph-1) captures the relationship between GDP (per capita) and Satisfaction with life, across different countries and four islands: Gizo, Roviana, Niijhum Dwip, and Chittagong. Graph 2 captures three measures of subjective well-being (Satisfaction with life, Affect Balance and Momentary Affect) across the four islands, which have different monetization levels (Index). Graph 3 captures levels of thirteen different socio-economic activities across four islands.


Which of the following will BEST capture the relationship between GDP (x-axis) and Life Satisfaction (y-axis) of countries?

Let S(n) represents the sum of digits of a natural number n. For example, S(128)=1+2+8=11. What is the value of \(S( 2^6\times3^4\times5^5 )\)?

If M, A and T ate distinct positive integers such that M A T = 1947, then which of the following is the maximum possible value of M + A + T?

In the following diagram, if the shaded area is one half the area of triangle ABC and angle ABC is right angle then the length of line segment AD is

Given below are two statements:
Statement I : If the roots of a quadratic equation are 2 and 3, then the equation is \(x^2-5x-6=0.\)
Statement II: If the roots of \(4x^2+3kx+9=0\) are real and distinct, then \(k≤-4\) or \(k≥4.\)
In the light of the above statements, choose the most appropriate answer from the options given below:

What is the area of an equilateral triangle whose inscribed circle has radius R?

The number of all integers n for which n2+36 is a perfect square, is

Average of a, b and c is 11; average of c, d and e is 17; average of e and f is 22 and average of e and c is 17.What is the average of a, b, c, d, e and f?

The simple interest accrued on a sum of certain principal in 8 years at the rate of 13% per year is ₹6500.What would be the compound interest accrued on that principal at the rate of 8% per year in 2 years

A and B started a business with investment of ₹ 4500 and ₹ 2700 respectively.Find the share of profit of A in the total annual profit of ₹ 256.

A train running at 18 km per hour crosses a mark on the platform in 9 seconds and takes 25 seconds to cross the platform. If P is the length of the train and Q is the length of the platform in meters, then (P, Q) = ___ .

The cost of the three components A, B and C of an electronic machine worth ₹12,000 in 2020 is given as a Pie-chart as shown below :

In the following year, the cost of these three components A, B, and C increased by 10%, 20%, and 10% respectively. The cost of the three components A, B, and C respectively in 2021, was

Which of the following statements are true?
A. If  \(x : y = 3 : 1\) then \(x ^3 − y ^3 = \frac{10}{11}\)
B. If \(x=y+12,x:y=3:2\) and \(z:y=1:3\),then \(z+x=44\)
C. If \(3x=8y\) and \(5y=9z\),then \(\frac{x}{z}=\frac{72}{15}\)
Choose the most appropriate answer from the options given below:

A certain sum of money earns a simple interest of ₹ 800 over 2-year period. The same sum of money invested at the same rate of interest and same period on a compound interest basis earns an interest of ₹ 900. What is the sum?

If \(x - \frac{1}{x} = y, y-\frac{1}{y} = z, z-\frac{1}{z} = x\), there which of the following equations are true ?
A. \(\frac{1}{x}+\frac{1}{y}+\frac{1}{z}=0\)
B. \(\frac{1}{x^2}+\frac{1}{y^2}+\frac{1}{z^2}=8\)
C. \(\frac{1}{xy}+\frac{1}{yz}+\frac{1}{zx}=-3\)
Choose the correct answer from the options given below:

If \(5^a\) = \(9^b\) = 2025, then the value of \(\frac{ab}{a+b}\)= ____.

If \(5T+8S=7350\), \(3T+5S=4475\), then find \(T\).