GMAC Solutions for Chapter: Quantitative Skills, Exercise 6: Practice Questions

Directions for Questions  A question is followed by two statements, numbered $\left(1\right)$and $\left(2\right).$ Using the information provided and general knowledge, decide whether the information given is sufficient to solve the problem.

Is parallelogram ABCD a rhombus?

(1) The four triangles enclosed by the diagonals and the sides have equal areas.

(2) A circle can be inscribed in ABCD touching all four sides.

Directions for Questions  A question is followed by two statements, numbered $\left(1\right)$and $\left(2\right).$ Using the information provided and general knowledge, decide whether the information given is sufficient to solve the problem.

Are the integers A and B co-primes?

(1) The numbers A and B are the squares of two successive even numbers.

(2) Both A and B are distinct primes.

Directions for Questions  A question is followed by two statements, numbered $\left(1\right)$and $\left(2\right).$ Using the information provided and general knowledge, decide whether the information given is sufficient to solve the problem.

Find the value of x. 

Statements:

$\text{ (1) }\mathrm{x}=\sqrt{4096}$

$\text{ (2) }{\mathrm{x}}^{64}=8^{128}$

Directions for Questions  A question is followed by two statements, numbered $\left(1\right)$and $\left(2\right).$ Using the information provided and general knowledge, decide whether the information given is sufficient to solve the problem.

What is the sum of 3 successive prime numbers? 

(1) The $3$prime numbers are in arithmetic progression.

(2) The first of them is $5$.

Directions for Questions  A question is followed by two statements, numbered $\left(1\right)$and $\left(2\right).$ Using the information provided and general knowledge, decide whether the information given is sufficient to solve the problem.

What is Mr Kashyap’s salary? 

(1) Mr Kashyap bought $50 \mathrm{kg}$ rice with one-fourth of his salary.

(2) Had the rice been $20\%$ cheaper than its current price, Mr Kashyap could have bought $50 \mathrm{kg}$ rice for $100$ more than onetenth of his salary.

Directions for Questions  A question is followed by two statements, numbered $\left(1\right)$and $\left(2\right).$ Using the information provided and general knowledge, decide whether the information given is sufficient to solve the problem.

Is $\mathrm{z} > 1?$

$\text{ (1) }{\mathrm{logz}}^{\mathrm{x}}>{\mathrm{logz}}^{{\mathrm{x}}^2}$ [x is an integer]

$\text{ (2) }{\mathrm{z}}^2<\mathrm{z}$

Directions for Questions A question is followed by two statements, numbered $\left(1\right)$and $\left(2\right).$ Using the information provided and general knowledge, decide whether the information given is sufficient to solve the problem.

What is the probability of drawing a$\mathrm{Rs}. 5$ coin from a bag containing $23$coins? 

(1) $\mathrm{Rs}. 2$ coins are $12$in number.

(2)$\mathrm{Rs}. 5$ coins are $8$in number.

Directions: A question is followed by two statements, numbered $\left(1\right)$and $\left(2\right).$ Using the information provided and general knowledge, decide whether the information given is sufficient to solve the problem.

Find the value of $\frac{{\mathrm{x}}^3}{{\mathrm{y}}^2+1}$

$\text{ (1) }\frac{{\mathrm{x}}^2}{{\mathrm{y}}^2}=\frac{1}{4}$

$\text{ (2) }\frac{\mathrm{x}}{\mathrm{y}}=\frac{1}{2}$