Section III - Sample Questions

Section III
Quantitative Skills

No. of Questions: 17 (Questions 34 – 50)

Time: 17 Minutes

Directions for Questions 34 – 37:

Choose the correct answer from the answer choices and then darken the corresponding oval in the answer sheet.

Q34	If b < 2 and 2x – 3b = 0, which of the following MUST BE TRUE?

	(1) x > -3	(2) x < 3	(3) x < 2	(4) x > 3

Q35	If m is an integer such that (-2) 2m = (2) 9-m, then m =
	(1) 1	(2) 2	(3) 3	(4) 4

Q36

One hour after Harry Potter started from X to Y, a distance of 45 kms, J.K.Rowling started walking along the same road from Y to X. If Potter’s walking rate was 3kms/hour and Rowling’s was 4kms/hour, how many kms had Rowling walked when they met?

(1) 24

(2) 42

(3) 23

(4) 22

Q37	37. If a, b and c are consecutive integers and a < b < c, which of the following MUST BE TRUE? I. c-a = 2. II. abc is an even integer. III. a – b – c is an integer. 3
	(1) I Only	(2) II Only	(3) III only	(4) I, II and III

Q38	If O ≤ x ≤ 4 and y < 12, which of the following CANNOT be the value of xy?

	(1) 0	(2)) –2	(3) 24	(4)48

Q39

The shaded portion of the rectangular plot shown above represents a flowerbed.
If the area of the bed is 24 sq.yds and x = y + 2, z equals

(1) 2√ 13

(2)) 6

(3) 10

(4)None of these

Q40

If the Quotient a/b is positive, which of the following MUST BE TRUE?

I.          a > 0 and b > 0
II.         ab > 0
III.       a – b > 0

(1) I only

(2)) II only

(3) III only

(4)I, II and III

Questions 41 – 42 refer to the following definition:

For any positive integer n, n > 1, the “Length” of n is the number of positive primes (not necessarily distinct) whose product is n. For example, the length of 50 is 3 since 50 = (2) (5) (5)

Q41	Which of the following integers has length 3

	(1) 3	(2)) 15	(3) 60	(4)105

Q42	What is the greatest possible length of a positive integer less than 1000?

	(1) 9	(2)) 10	(3) 8	(4) 7

Q43	Of 30 applicants for a job, 14 had at least 4 years of experience, 18 had degrees, and 3 had less than 4 years of experience and did not have a degree. How many of the applicants had at least 4 years experience and a degree?

	(1) 14	(2)) 9	(3) 5	(4)16

Directions for Questions 44 – 48:

In each of the problem, a Question is followed by two statements marked (A) and (B) containing certain data pertaining to the problem. You need to determine whether the data provided by the statements are sufficient to the answer the Question from the four Answer choices. Choose the correct answer for each Question based upon the statement data and then darken the corresponding oval in the answer sheet.

Choose – 1: If the Question can be answered by one of the statements (A) or (B) ALONE
but not by the other statement.

Choose – 2: If the Question can be answered by EITHER Statement alone.

Choose – 3: If the Question can be answered by using both the statements TOGETHER, but
cannot be answered by using either statement alone.

Choose – 4: If the question CANNOT BE answered even by using both statements together.

Q44

A square is inscribed in a circle. What is the difference between the areas of the circle and that of the square?

(A) The diameter of the circle is 25 √ 2cm
(B) The side of the square is 25 cm

(1) (A) or (B) alone, but not by the other statement
(2) Either statements
(3) Both statements together
(4) Cannot be answered

Q45

What are the values of m and n?

(A) n is an even integer, m is an odd integer, and m>n
(B) mn =30.

(1) (A) or (B) alone, but not by other statement
(2) Either statements
(3) Both statements together
(4) Cannot be answered

Q46

Two friends, Ram and Rahim, bought mangoes from a wholesale dealer. How many mangoes did they buy?

(A) Ram bought one half the number of mangoes that Rahim bought.
(B) The wholesale dealer had a stock of 500 mangoes.

(1) (A) or (B) alone, but not by other statement
(2) Either statements
(3) Both statements together
(4) Cannot be answered

Q47

What is the value of X?

(A) X and Y are unequal even integers, less than 10, and X/Y is an odd integer.
(B) X and Y are even integers, each less than 10, and X Y=12.

(1) (A) or (B) alone, but not by other statement
(2) Either statements
(3) Both statements together
(4) Cannot be answered

Q48

Is Country A’s GDP higher than country C’s GDP?

(A) GDPs of the countries A and C have grown over the past five years at compounded annual rate of 5% and 6% respectively
(B) Five Years ago, GDP of Country A was higher than that of Country C

(1) (A) or (B) alone, but not by other statement
(2) Either statements
(3) Both statements together
(4) Cannot be answered

Directions for Questions 49 – 50:

For each of the questions, select the best/correct from the four answer choices given numbered (1), (2), (3) and (4), then darken the corresponding oval in the answer sheet.

Q49	If n is a positive integer less than 200 and 14n/60 is an integer, then n has how many different positive prime factors?

	(1) Two	(2) Three	(3) Five	(4) Six