Rationale: {Total} = {First correctly} + {Second correctly} - {Both correctly} + {Neither correctly}
100 = 85 + 65 - {Both correctly} + 5
{Both correctly} = 55.
The answer: (B)
Question: If 85 percent of the test takers taking an old paper and pencil GMAT exam answered the first question on a given math section correctly, and 65 percent of the test takers answered the second question correctly, and 5 percent of the test takers answered neither question correctly, what percent answered both correctly?
Options:
(A) 60 %
(B) 55 %
(C) 70%
(D) 75%
(E) 80%
Reasoning: ? 185 160 + 401000 1850 + 450
576 + 740 + 450 1760 1800
Ans: (D)
Question: What approximate value should come in place of the question mark (?) in the following equation'?
3 35 of 157.85 + 39% of 1847 = ? 447.30
Options:
(A) 1200
(B) 1500
(C) 1600
(D) 1800
(E) 2100
Rationale: This is a simple multiplication series. Each number is 7 times greater than the previous number.
The answer: (B)
Question: Look at this series: 0.25, 1.75, ____, 85.75, 600.25, ... What number should fill the blank?
Options:
(A) 11.25
(B) 12.25
(C) 13.25
(D) 9.25
(E) 10.75
Reasoning: Area of the outer rectangle = 19 16 = 304 m2
Area of the inner rectangle = 15 12 = 180 m2
Required area = (304 180) = 124 m2
Ans: (A)
Question: The floor of a rectangular room is 15 m long and 12 m wide. The room is surrounded by a verandah of width 2 m on all its sides. The area of the verandah is :
Options:
(A) 124 m2
(B) 120 m2
(C) 108 m2
(D) 58 m2
(E) None of these
Rationale: Saving = (42-32)% of 42400 = 4240.
The answer: (C)
Question: If the personal income tax rate is lowered from 42% to 32%, what is the differential savings for a tax payer having an annual income before tax to the tune of $42400?
Options:
(A) $3500
(B) $5000
(C) $4240
(D) $7000
(E) $10000
Rationale: 1/20 + 1/30 - 1/40 = 7/120
120/7 = 17 1/7
The answer: (C)
Question: Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
Options:
(A) 19 1/7 min
(B) 15 1/7 min
(C) 17 1/7 min
(D) 7 1/7 min
(E) 7 2/7 min