List of top Quantitative Ability Questions

Eight sets A, B, C, D, E, F, G and H are such that:

A is a superset of B, but subset of C.
B is a subset of D, but superset of E.
F is a subset of A, but superset of B.
G is a superset of D, but subset of F.
H is a subset of B.

N(A), N(B), N(C), N(D), N(E), N(F), N(G) and N(H) are the number of elements in the sets A, B, C, D, E, F, G and H respectively.

Which one of the following could be FALSE, but not necessarily FALSE?

Eight sets A, B, C, D, E, F, G and H are such that:

A is a superset of B, but subset of C.
B is a subset of D, but superset of E.
F is a subset of A, but superset of B.
G is a superset of D, but subset of F.
H is a subset of B.

N(A), N(B), N(C), N(D), N(E), N(F), N(G) and N(H) are the number of elements in the sets A, B, C, D, E, F, G and H respectively.

If P is a new set and P is a superset of A, and N(P) is the number of elements in P, then which of the following must be true?

Eight sets A, B, C, D, E, F, G and H are such that:

A is a superset of B, but subset of C.
B is a subset of D, but superset of E.
F is a subset of A, but superset of B.
G is a superset of D, but subset of F.
H is a subset of B.

N(A), N(B), N(C), N(D), N(E), N(F), N(G) and N(H) are the number of elements in the sets A, B, C, D, E, F, G and H respectively.

If Q and Z are two new sets, both supersets of H, and N(Q) and N(Z) are the number of elements of the sets Q and Z respectively, then:

Eight sets A, B, C, D, E, F, G and H are such that:

A is a superset of B, but subset of C.
B is a subset of D, but superset of E.
F is a subset of A, but superset of B.
G is a superset of D, but subset of F.
H is a subset of B.

N(A), N(B), N(C), N(D), N(E), N(F), N(G) and N(H) are the number of elements in the sets A, B, C, D, E, F, G and H respectively.

Which of the following could be TRUE, but not necessarily TRUE?

If \(x + y + z = 1\) and \(x, y, z\) are positive real numbers, then the least value of \(\left(\dfrac{1}{x}-1\right)\left(\dfrac{1}{y}-1\right)\left(\dfrac{1}{z}-1\right)\) is:

If \(n\) is a positive integer, let \(S(n)\) denote the sum of the positive divisors of \(n\), including \(n\) itself, and let \(G(n)\) be the greatest divisor of \(n\). If \(H(n) = \dfrac{G(n)}{S(n)}\), then which of the following is the largest?

If the ratio of the roots of the equation \(x^2 - 2ax + b = 0\) is equal to that of the roots of the equation \(x^2 - 2cx + d = 0\), then:

X and Y are two variable quantities. The corresponding values of X and Y are given below:

X: 3, 6, 9, 12, 24
Y: 24, 12, 8, 6, 3

Then the relationship between X and Y is given by:

If \(F\) is a differentiable function such that \(F(3) = 6\) and \(F(9) = 2\), then there must exist at least one number 'a' between 3 and 9, such that:
A conical tent of given capacity has to be constructed. The ratio of the height to the radius of the base for the minimum amount of canvas required for the tent is:
The horizontal distance of a kite from the boy flying it is 30 m and 50 m of cord is out from the roll. If the wind moves the kite horizontally at the rate of 5 km per hour directly away from the boy, how fast is the cord being released?
Suppose \(S\) and \(T\) are sets of vectors, where \(S = \{(1,0,0), (0, 0, -5), (0, 3, 4)\}\) and \(T = \{(5, 2, 3), (5, -3, 4)\}\), then:
Set of real numbers 'x, y', satisfying the inequations \(x - 3y \geq 0\), \(x + y \geq -2\) and \(3x - y \leq -2\) is:
Suppose the function \(f\) satisfies the equation \(f(x+y) = f(x)f(y)\) for all \(x\) and \(y\). Here \(f(x) = 1 + xg(x)\), where \(\displaystyle\lim_{x \to 0} g(x) = T\), and \(T\) is a positive integer. If \(f^{n}(x) = kf(x)\), where \(f^{n}(x)\) denotes the \(n\)th derivative of \(f\), then \(k\) is equal to:
\(ABCD\) is a trapezium, such that \(AB\), \(DC\) are parallel and \(BC\) is perpendicular to them. If \(\angle DAB = 45^{\circ}\), \(BC = 2\) cm and \(CD = 3\) cm, then \(AB = ?\)
If the roots of the equation \(\dfrac{x+a}{x+a+c} + \dfrac{x+b}{x+b+c} = 1\) are equal in magnitude but opposite in sign, then:
Two people agree to meet on January 9, 2005 between 6:00 P.M. and 7:00 P.M., with the understanding that each will wait no longer than 20 minutes for the other. What is the probability that they will meet?
What is the sum of the first 100 terms which are common to both the progressions \(17, 21, 25, \ldots\) and \(16, 21, 26, \ldots\)?
Steel Express runs between Tatanagar and Howrah and has five stoppages in between. Find the number of different kinds of one-way second class tickets that Indian Railways will have to print to service all types of passengers who might travel by Steel Express.
The expression \(\dfrac{x^2 - 2x + a^2 + b^2}{x^2 + 2x + a^2 + b^2}\) lies between:
The length of the sides of a triangle are \(x + 1\), \(9 - x\) and \(5x - 3\). The number of values of x for which the triangle is isosceles is:
For \(n = 1, 2, 3, \ldots\), let \(T_n = 1^3 + 2^3 + \cdots + n^3\). Which one of the following statements is correct?
If \(R = \{(1,1), (2,2), (1,2), (2,1), (3,3)\}\) and \(S = \{(1,1), (2,2), (2,3), (3,2), (3,3)\}\) are two relations on the set \(X = \{1, 2, 3\}\), the incorrect statement is:
If \(x > 8\) and \(y > -4\), then which one of the following is always true?
An equilateral triangle is formed by joining the midpoints of the sides of a given equilateral triangle. A third equilateral triangle is formed inside the second equilateral triangle in the same way, and so on. If this process continues indefinitely, then the sum of the areas of all such triangles, when the side of the first triangle is 16 cm, is: