List of top Quantitative Ability and Data Interpretation Questions

A small jar contained water, lime, and sugar in the ratio of 90:7:3. A glass contained only water and sugar in it. Contents of both (small jar and glass) were mixed in a bigger jar and the ratio of contents in the bigger jar was 85:5:10 (water, lime, and sugar respectively). Find the percentage of water in the bigger jar?
The addition of 7 distinct positive integers is 1740. What is the largest possible “greatest common divisor” of these 7 distinct positive integers?

The Guava club has won 40% of their football matches in the Apple Cup that they have played so far. If they play another ‘n’ matches and win all of them, their winning percentage will improve to 50. Further, if they play 15 more matches and win all of them, their winning percentage will improve from 50 to 60. How many matches has the Guava club played in the Apple Cup so far? In the Apple Cup matches, there are only two possible outcomes, win or loss; draw is not possible.

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?
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:
Consider an+1 = 1/1+1/an for n = 1,2,.......2008,2009. where a1 = 1. Find the value of a1a2 + a2a3 + a3a4+ .......+ a2008a2009.
ABC is a triangle and the coordinates of A, B, and C are (a, b - 2c), (a, b + 4c), and (-2a, 3c), respectively, where a, b, and c are positive numbers. The area of the triangle ABC is:
Amit has forgotten his 4-digit locker key. He remembers that all the digits are positive integers and are different from each other. Moreover, the fourth digit is the smallest and the maximum value of the first digit is 3. Also, he recalls that if he divides the second digit by the third digit, he gets the first digit. How many different combinations does Amit have to try for unlocking the locker?

ABCD is a trapezoid where BC is parallel to AD and perpendicular to AB . Kindly note that BC<AD . P is a point on AD such that CPD is an equilateral triangle. Q is a point on BC such that AQ is parallel to PC . If the area of the triangle CPD is 4√3. Find the area of the triangle ABQ.

Given \( A = |x+3 + |x-2| - |2x-8| \). The maximum value of \( |A| \) is : 
Find the value of  $$ \dfrac{\sin^6 15^\circ + \sin^6 75^\circ + 6 \sin^2 15^\circ + \sin^2 75^\circ}{\sin^4 15^\circ + \sin^4 75^\circ + 5 \sin^2 15^\circ \sin^2 75^\circ} $$ 
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
Anil travelled 300 km by bus and 200 km by taxi. For this, it took him 5 hours and 30 minutes. However if he travels 260 km by bus and 240 km by taxi then he takes 6 minutes more. The speed of the bus is ________km/hour

The least number of square tiles required to pave the floor of a room 15 m 91 cm and 9 m 46 cm broad is 

Given below are two statements:
Statement I : The difference between the cost price and sale price of an article is ₹ 240. If the profit is 20%, then the selling price is ₹ 1440. 
Statement II: If the cost price of 10 DVDs is equal to the selling price of 7 DVDs, then the gain percent is \(42\frac{6}{7}\).
In the light of the above statements, choose the most appropriate answer from the options given below:
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?
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:
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
shaded area is one half the area of triangle ABC
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?
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 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.
Given below are two statements:
Statement I: \((243)^{0.16} ×(9)^{0.1}=0.3\)
Statement II: If , \(3.105 ×10^P=0.00239+0.000715,\) then \(P=-3.\)
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 bag captains 10 white and 10 red face masks which are all mixed up. The fewest number of face masks you can take from a bag without looking and be sure to get a pair of the same color is 3. 
Statement II: The minimum number of students needed in a class to guarantee that there are at least 6 students whose birthdays fall in the same month, is 61. In the light of the above statements, choose the most appropriate answer from the option given below:
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 \(5^a\) = \(9^b\) = 2025, then the value of \(\frac{ab}{a+b}\)= ____.