Section I - Sample Questions

Section I
Quantitative Skills

[ Answers ]

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No. Of Questions: 17 (Questions 1-17)

Time: 17 Minutes

Directions for Questions 1-5

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

Q.1 and 2. Refer 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)

Q1	Which of the following integers has length 3?
	(1) 3	(2) 15	(3) 60	(4) 105

Q2	What is the greatest possible length of a positive integer less that 1000?
	(1) 7	(2) 8	(3) 9	(4) 10

Q3	If m is an integer such that (-2)2m = 2 9-m , then m is
	(1) 1	(2) 2	(3) 3	(4) 4

Q4	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

Q5	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) 2	(2) 3	(3) 5	(4) 6

Directions for Questions 6-10

In each of the problems, 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 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.

Two friends, Taslim and Tanya, bought oranges from a wholesale dealer. How many oranges did they buy?

(A). Taslim bought one half the number of oranges that Tanya bought.
(B). The wholesale dealer had a stock of 1500 oranges.

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


Q7	Is Country A’s GDP higher than country C’s GDP?
	(A) or (B) alone, but not by other statement Either statement Both statements together Cannot be answered

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

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

What are the values of b and c?

(A). c is an even integer, b is an odd integer, where b>c
(B). bc =30.

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

Q10

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.

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

Directions for Questions 11 – 17

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

Q11

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/3 is an integer.

(1) I only

(2) II only

(3) III only

(4) I, II and III

Q12	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

Q13

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

Q14	If 4 is one solution of the equations x²+3x+k=10, where k is a constant, what is the other solution?
	(1) -3	(2) -7	(3) 15	(4) 10.2

Q15	A rectangular box is 10 units wide, 10 units long and 5 units high. What is the greatest possible (straight line) distance, in the same units, between any two points on the box?
	(1) 15	(2) 10.3	(3) 20	(4) 10.2

Q16	. 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

Q17	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