Reasoning: Total 4 members minimum required to serve only on one committee.
Ans: (A)
Question: a certain organization has three committees. only two persons are members of all committees, but every pair of committees have three members in common. what is the least possible no of member of members on any one committee?
Options:
(A) 4
(B) 5
(C) 6
(D) 7
(E) 8
Rationale: 120 * 456 + 333 = 55053
The answer: (A)
Question: In a division sum, the quotient is 120, the divisor 456 and the remainder 333, find the dividend?
Options:
(A) 55053
(B) 50553
(C) 5553
(D) 40532
(E) 44258
Reasoning: Fix the third coin as H. The remaining 19 coins have 2^19 outcomes.
Ans: (A)
Question: Twenty coins are tossed simultaneously. In how many of the outcomes will the third coin turn up a head?
Options:
(A) 2^19
(B) 2^10
(C) 3 * 2^8
(D) 3 * 2^9
(E) 3 * 2^10
Rationale: Mother has a fixed place and father, so there are 3! ways to arrange the children, hence
The answer: (B)
Question: A family with 1 mother, 1 father, and 3 children sit in a car with 2 front seats and 3 back seats. If the mother drives with a child in the front, and the father sits in the back center seat with the other two children on either side of him, how many seating arrangements are possible
Options:
(A) 3
(B) 6
(C) 4
(D) 8
(E) 10
Reasoning: In one week, Giri jogs 3 + 4 + 5 + 6 + 7 + 8 + 9 = 42 miles
In two weeks, Giri jogs 84 miles.
Ans: (C)
Question: Every Sunday, Giri jogs 3 miles. For the rest of the week, each day he jogs 1 mile more than the previous day. How many miles does giri jog in 2 weeks ?
Options:
(A) 42
(B) 63
(C) 84
(D) 98
(E) 108
Reasoning: (1-(3/4))(1-(2/3)of distance = 12 km
(1/12) of distance = 12 km
Hence distance = 144 km
Ans: (C)
Question: A traveller makes 3/4 of his journey by train and 2/3 of the rest by car. If he walks the remaining 12 Kms, the total distance traveled by him is
Options:
(A) 124 Kms
(B) 134 Kms
(C) 144 Kms
(D) 244 Kms
(E) None of the above