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: Maximum points of intersection between n different circles = n*(n - 1) = 10*9 = 90
Ans: (A)
Question: There are different 10 circles. What is the number of the greatest possible points with which the circles intersect?
Options:
(A) 90
(B) 100
(C) 110
(D) 180
(E) 200
Rationale: 1: 2/5 = 5: 2
2/7 * 70 = 20
The answer: (A)
Question: A 70 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?
Options:
(A) 20
(B) 40
(C) 45
(D) 25
(E) 60
Reasoning: 22/7 * 14 * 3/2 * 3/2 = 99 m2
99 * 15 = 1485
Ans: (D)
Question: Find the expenditure on digging a well 14m deep and of 3m diameter at Rs.15 per cubic meter?
Options:
(A) Rs.1185
(B) Rs.1285
(C) Rs.1385
(D) Rs.1485
(E) Rs.1495
Rationale: Volume of prism = Area of base * height = 1/2* (square root of 5) * (square root of 5)*10 = 25
The answer: (E)
Question: Right triangle PQR is the base of the prism in the figure above. If PQ=PR=5 and the height of the prism is 10, what is the volume of the prism?
Options:
(A) 5
(B) 10
(C) 15
(D) 20
(E) 25
Rationale: Sum of 12 even numbers = 12 * 13 = 156
Average = 156/13 = 13
The answer: (D)
Question: The average of first 12 even numbers is?
Options:
(A) 10
(B) 11
(C) 12
(D) 13
(E) 14