List of top Quantitative Ability and Data Interpretation Questions

On 1st January 1969, a person purchases Rs. 10,000, 4% debentures. On 1st Jan. 1970, he sells 3/4 of it at a discount of 6% and invests the proceeds in steel shares at Rs. 470 per share. He sells the remaining debentures at Rs. 105 and purchases bonds at a price of Rs. 75 per bond. Each bond pays Rs. 5. Each share pays Rs. 16. Find the alteration in his annual income in 1970.

A family consists of the father, the mother, two sons and the youngest daughter. The father's age is four times the age of the second son. The first son's age is in the ratio \(3:1\) with that of his sister. The mother is \(3.5\) times as old as the second son. The second son's age is \(\frac{2}{3}\) of the first son's age. The youngest daughter is 5 years old. Find the sum of all their ages.

Each of the following questions is followed by two statements, I and II. Answer as follows:
Mark option (1) if the question can be answered using statement I alone, but not using statement II alone.
Mark option (2) if the question can be answered using statement II alone, but not using statement I alone.
Mark option (3) if the question can be answered using both statements I and II together, but not by using either statement alone.
Mark option (4) if the question cannot be answered even using both statements I and II together.

A, B, C and D are points on a straight line. Is AB = BC = CD?
I. AC = 2 CD
II. AB = BC

Each of the following questions is followed by two statements, I and II. Answer as follows:
Mark option (1) if the question can be answered using statement I alone, but not using statement II alone.
Mark option (2) if the question can be answered using statement II alone, but not using statement I alone.
Mark option (3) if the question can be answered using both statements I and II together, but not by using either statement alone.
Mark option (4) if the question cannot be answered even using both statements I and II together.

What is the area of the isosceles trapezium?
I. Of the two parallel sides, one is 6 cm smaller than the other.
II. The line joining the midpoints of the non-parallel sides is 13 cm in length and is at a distance of 2 cm from the base.

Directions: Each of the following questions is followed by two statements. Mark option (1) if the question can be answered using statement I alone. Mark option (2) if the question can be answered using statement II alone. Mark option (3) if both statements I and II together are needed to answer the question. Mark option (4) if the question cannot be answered even using both statements together.

Is x/y prime?

I. x is divisible by 3 but not by 9.
II. y is a multiple of 6.

Each of the following questions is followed by two statements, I and II. Answer as follows:
Mark option (1) if the question can be answered using statement I alone, but not using statement II alone.
Mark option (2) if the question can be answered using statement II alone, but not using statement I alone.
Mark option (3) if the question can be answered using both statements I and II together, but not by using either statement alone.
Mark option (4) if the question cannot be answered even using both statements I and II together.

If a and b are integers, is \( \left(\dfrac{a}{4} + \dfrac{b}{5}\right) \) an integer?
I. The cube root of a is an even number which is 1/10th the value of b.
II. a is divisible by 5 and b is divisible by 4.

Directions: Each of the following questions is followed by two statements. Mark option (1) if the question can be answered using statement I alone. Mark option (2) if the question can be answered using statement II alone. Mark option (3) if both statements I and II together are needed to answer the question. Mark option (4) if the question cannot be answered even using both statements together.

A cube is painted on all sides and is cut into smaller cubes, all of the same size. How many of the smaller cubes do not have any side painted?

I. 8 of the smaller cubes are painted on three sides.
II. The number of smaller cubes is 64.

Each of the following questions is followed by two statements, I and II. Answer as follows:
Mark option (1) if the question can be answered using statement I alone, but not using statement II alone.
Mark option (2) if the question can be answered using statement II alone, but not using statement I alone.
Mark option (3) if the question can be answered using both statements I and II together, but not by using either statement alone.
Mark option (4) if the question cannot be answered even using both statements I and II together.

How much tax did Mrs. X pay?
I. Gauri paid twice the amount that Rajat did last year.
II. Rajat paid Rs. 9800 as tax this year.

Each of the following questions is followed by two statements, I and II. Answer as follows:
Mark option (1) if the question can be answered using statement I alone, but not using statement II alone.
Mark option (2) if the question can be answered using statement II alone, but not using statement I alone.
Mark option (3) if the question can be answered using both statements I and II together, but not by using either statement alone.
Mark option (4) if the question cannot be answered even using both statements I and II together.

What is the value of \(x\)?
I. \( \log_2 2^x = x \)
II. \( \log_3 x = 0 \)

Directions: Each of the following questions is followed by two statements. As the answer, mark (1) if the question can be answered with the help of statement I alone, mark (2) if the question can be answered with the help of statement II alone, mark (3) if both statement I and statement II together are needed to answer the question, and mark (4) if the question cannot be answered even with the help of both the statements.

Is line MN perpendicular to the X-axis?
I. M = (5, 12)
II. N lies on the X-axis at a distance of 5 units from the origin.

Directions for questions 41 to 44: Ghosh Babu's new interest is psychology. He has identified various personality patterns and given them names. These personality patterns are inter-related as follows:
- All Alessandras, Belissimas, Cassandras, Desdemonas, Elissimas and Firdauses are Queens.
- All Alessandras are Belissimas.
- No Belissima that is not an Alessandra is a Firdaus.
- Some Cassandras are Alessandras.
- All Desdemonas are Cassandras.
- Some Cassandras are not Belissimas.
- No Desdemona is an Alessandra.
- All Queens and only Queens that are neither Belissimas nor Cassandras are Elissimas.

Which of the following is not true?

Directions for questions 41 to 44: Ghosh Babu's new interest is psychology. He has identified various personality patterns and given them names. These personality patterns are inter-related as follows:
- All Alessandras, Belissimas, Cassandras, Desdemonas, Elissimas and Firdauses are Queens.
- All Alessandras are Belissimas.
- No Belissima that is not an Alessandra is a Firdaus.
- Some Cassandras are Alessandras.
- All Desdemonas are Cassandras.
- Some Cassandras are not Belissimas.
- No Desdemona is an Alessandra.
- All Queens and only Queens that are neither Belissimas nor Cassandras are Elissimas.

Which of the following cannot be said to be true or false?
I. No Belissima or Cassandra is an Elissima.
II. Some Cassandras are Belissimas but not Alessandras.
III. No Belissima is both an Alessandra and a Desdemona.

Directions for questions 41 to 44: Ghosh Babu's new interest is psychology. He has identified various personality patterns and given them names. These personality patterns are inter-related as follows:
- All Alessandras, Belissimas, Cassandras, Desdemonas, Elissimas and Firdauses are Queens.
- All Alessandras are Belissimas.
- No Belissima that is not an Alessandra is a Firdaus.
- Some Cassandras are Alessandras.
- All Desdemonas are Cassandras.
- Some Cassandras are not Belissimas.
- No Desdemona is an Alessandra.
- All Queens and only Queens that are neither Belissimas nor Cassandras are Elissimas.

Peter is not a Belissima, therefore,

Directions for questions 41 to 44: Ghosh Babu's new interest is psychology. He has identified various personality patterns and given them names. These personality patterns are inter-related as follows:
- All Alessandras, Belissimas, Cassandras, Desdemonas, Elissimas and Firdauses are Queens.
- All Alessandras are Belissimas.
- No Belissima that is not an Alessandra is a Firdaus.
- Some Cassandras are Alessandras.
- All Desdemonas are Cassandras.
- Some Cassandras are not Belissimas.
- No Desdemona is an Alessandra.
- All Queens and only Queens that are neither Belissimas nor Cassandras are Elissimas.

Which of the following is true?

N = abcd is a four digit number and M = xyz is a three digit number. \(N \times M\) is:

N = \((A7A)^{17}\) is a perfect square, where A7A is the three digit number with hundreds digit A, tens digit 7 and units digit A. Which of the following statements is FALSE?

The product of three consecutive numbers is 2730. What is the sum of the three numbers?

A mother bought three shirts of the same colour but of different sizes, one each for her three sons. All three shirts were kept together in a box in a dark room. Each of the three boys took one shirt at random from the box. What is the probability that none of the boys ends up with his own shirt?

\(a\), \(b\) and \(c\) are the sides of a triangle. The equations \(ax^2 + bx + c = 0\) and \(3x^2 + 4x + 5 = 0\) have a common root. Then angle C is equal to

Let x, y and z be three positive integers satisfying \(y = 3x\), \(z = 4x\), and \(x + y + z = 3k\), where k is an integer. Which of the following is the smallest value of k for which x, y and z are even numbers?

N = aebfcg is a six digit number where a, b, c, e, f, g are its six digits. If \(a = e\), \(b = f\) and \(c = g\), which of the given statements is NOT correct?

Which of the following is the lowest?

Sum of all prime numbers less than 50 is