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Sample Questions From Quantitative Section

 I. Comparisons 

Each of the Questions consists of two quantities, one in Column 1 and one in Column 2
You are to compare the two quantities and choose.

A if the quantity in Column A is greater;
B if the quantity in Column B is greater;
C if the two quantities are equal;
D if the relationship cannot be determined from the information given

1.

Column 1 Column 2 
The number of months in 7 years  The number of days in 12 weeks


 
Ans : C

Explanation: 

Number of months in 7 years: 7*12 = 84.
Number of days in 12 weeks: 12*7 = 84.

Hence, the answer is C.

2. 

Column 1 Column 2 
1 - 1/27 8/9 + 1/81


Ans : A

Explanation:

Col 1:
1-(1/27) = (26/27) = (26/27) * (3/3) = (78/81).
Col.2 :
(8/9) + (1/81)= (8/9) * (9/9) + (1/81)
= (72/81) + (1/81) = (73/81).

(78/81)>(73/81).

Therefore the answer is A.

II. 
PROFILE OF CONGRESS IN YEAR X

(Total Membership : 535)

House of Representatives                     Senate

Party

292 …………………… Democratic ………………. 62
143 …………………... Republican ……………….. 38
----- ----
435 Total 100

Sex

418 …………………… Male ……………………….. 100
17.....……………… Female....................... 0

Age

27 …………………… Youngest…………………….. 34
77 …………………… Oldest………………………... 80
48 ………....……… Average..................... 54
(Arithmetic Mean) 

Religion

255 …………………… Protestant ……………… 69
107 …………………… Catholic…………………… 12
18 …………………… Jewish………………………. 5
4 …………………… Mormon……………………... 3
51 …………………… Other………………………… 11

Profession

215 …………………… Lawyer………………………… 63
81 ..…..Business Executive or Banker.......15
45 .…………………… Educator …………………….  6
14 ………………… Farmer or Rancher……………  6
22 .… Career Government Official…..........  0
24 ..Journalist/Communications Executive.. 4
  2 .................... Physician..................  0
  1 ……………….. Veterinarian ….....……………. 1
  0 ………………..….. Geologist………………….... 2
  6 .……Worker or Skilled Tradesperson…….. 0
25 ....…………………. Other…………....…………… 3

Ethnic Group

17 ………………….. Black American…………… 1
2 ………………….. Asian American …………… 3
4 ………………….. Hispanic American……….. 0

1. In the Senate, if 25 male members were replaced by 25 female members, the ratio of male members to female members would be

(A) 4 to 1
(B) 3 to 1
(C) 3 to 2
(D) 2 to 1
(E) 1 to 1

Ans : B

Explanation: 
The total number of members in the senate is 100, and all are male. 
If 25 of them are replaced by women, then the total number of male members = 25 
and the total number of female members = 25.
Ratio of males to females = 75 : 25 = 3 : 1.

The answer is B.


2. Approximately what percent of the members of Congress are lawyers?

(A) 63%
(B) 58%
(C) 56%
(D) 52%
(E) 49%

Ans : B

Explanation: 
The total membership of Congress members 
535 (435 - H.of Rep. = 100 - Senate).
Among them, the lawyer number 
278 (215 - H.of Rep. + 63 - Senate)
Therefore percentage of lawyers present in Congress:
Number of Lawyers/Total number of Members x 100
= 278/535 x 100 = 52% (approx).


Therefore the answer is D.

III. General questions:

1. In a certain shop, notebooks that normally sell for 59 cents each are on sale at 2 for 99 cents. How much can be saved by purchasing 10 of these notebooks at the sale price?

(A)$0.85
(B) $0.95
(C) $1.10
(D) $1.15
(E)$2.00

Ans : B

Explanation: 

If 10 books are sold at 59 cents, the cost of purchase is 10 X 0.59 = $ 5.90. 
If two books are being sold for 99 cents, the cost of purchasing 10 books is 
10 x 0.99/2 = 4.95.
[0.99/2 is the current price of one book.]

Therefore the savings by purchasing 10 books at the new price 
= (cost of 10 books at the old price) - (cost of 10 books at the new price) 
= $ 5.90 - $4.95 
= 0.95. 

Answer is option B.

 

2. Which of the following is a solution to x + x 2 = 1?

(A) -1
(B) 0
(C) ½
(D) 1
(E) None of the above

Ans : E

Explanation:
Substituting the given values -1, 0, 1/2, 1 in the given equation  x + x 2 = 1, 
we find that none of them satisfies the equation. 

The correct answer thus is E.

 


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