List of top Quantitative Ability and Data Interpretation Questions on Data Sufficiency

Given below are two statements:
Statement I : The set of numbers (7,8,9,a,b,10,8,7) has an arithmetic mean of 9 and mode (most frequently occurring number) as 8, Then a x b = 120.
Statement II : Let a and b be two positive integers such that a + b + a x b = 84, then a + b =20.
In the light of the above statements, choose the most appropriate answer from the options given below:

Given below are two statements:
Statement I: A coin is tossed three times. The probability of getting exactly two heads is \(\frac{3}{8}\).
Statement II: In tossing of 10 coins, the probability of getting exactly 5 heads is \(\frac{63}{256}\).
In the light of the above statements, choose the correct answer from the options given below.

Given below are two statements:
Statement I: \(\frac{\sqrt{7}+\sqrt{5}}{\sqrt{7}-\sqrt{5}}+\frac{\sqrt{7}-\sqrt{5}}{\sqrt{7}+\sqrt{5}}=2\)
Statement II: If a+b+c=0, then (a³+b³+c³) ÷ abc=3
In light of the above statements, choose the correct answer from the options given below

Given below are two statements
Statement I: The set of numbers (5, 6, 7, p, 6, 7, 8, q) has an arithmetic mean of 6 and mode (most frequently occurring number) of 7. Then p×q=16.
Statement II: Let p and q be two positive integers such that p+q+p×q=94. Then p+q=20.
In light of the above statements, choose the correct answer from the options given below

$\left[ \frac{x^{-1} - y^{-1}}{x^2 - y^2} \right]>1$?
I. $x + y>0$
II. $x$ and $y$ are positive integers and each is greater than 2.

The unit price of product P1 is non-increasing and that of product P2 is decreasing. Which product will be costlier 5 years hence?
I. Current unit price of P1 is twice that of P2.
II. 5 years ago, unit price of P2 was twice that of P1.

X is older than Y, Z is younger than W, and V is older than Y. Is Z younger than X?
I. W may not be older than V.
II. W is not older than V.

How long did Mr. X take to cover 5000 km journey with 10 stopovers?
I. The $i^{th}$ stopover lasted $i^2$ minutes.
II. The average speed between any two stopovers was 66 kmph.

If R is an integer between 1 & 9, P - R = 2370, what is the value of R?
I. P is divisible by 4.
II. P is divisible by 9.

A man distributed 43 chocolates to his children. How many of his children are more than five years old?
I. A child older than five years gets 5 chocolates.
II. A child 5 years or younger in age gets 6 chocolates.

Ramu went by car from Calcutta to Trivandrum via Madras, without any stoppages. The average speed for the entire journey was 40 kmph. What was the average speed from Madras to Trivandrum?
I. The distance from Madras to Trivandrum is 0.30 times the distance from Calcutta to Madras.
II. The average speed from Madras to Trivandrum was twice that of the average speed from Calcutta to Madras.

$x$, $y$, and $z$ are three positive odd integers. Is $x + z$ divisible by 4?
I. $y - x = 2$
II. $z - y = 2$