question: A man walks at a speed of 3 km/hr and runs at a speed of 9 km/hr. How much time will the man require to cover a distance of 18 km, if he completes half of the distance, i.e., (9) km on foot and the other half by running?
Options:
(A) 4
(B) 5
(C) 6
(D) 8
(E) 9
answer: Stream of consciousness: Required time = (9)/3 + (9)/9 = 4 hours. The answer is (A).


q: An amount of money is to be divided among P, Q and R in the ratio of 4 : 9 : 16. If R gets 4 times more than P, what is Q’s share in it?
Options:
(A) 1,800
(B) 2,700
(C) 3,600
(D) Data inadequate
(E) None of these
a: Stream of consciousness: Here, neither the total amount nor the individual amount is given. So the share of Q cannot be determine The answer is (D).


question: What percent is 150 of 90?
Options:
(A) 133 1/3 %
(B) 166 2/3 %
(C) 135 1/3 %
(D) 140 1/3 %
(E) 143 1/3 %
answer: Stream of consciousness: 150/90 = 5/3
5/3 × 100 = 500/3 = 166 2/3 % The answer is (B).


q: In a staircase, there ar 10 steps. A child is attempting to climb the staircase. Each time she can either make 1 step or 2 steps. In how many different ways can she climb the staricase?
Options:
(A) 23
(B) 277
(C) 18
(D) 178
(E) 181
a: Stream of consciousness: Use fibonnacci series, with starting two terms as 1, 2. So next terms are 3, 5, 8, 13, 21, 34, 55, 89 The answer is (B).


question: Ravi can do a piece of work in 30 days while Prakash can do it in 40 days. In how many days will they finish it together?
Options:
(A) 17 1/7
(B) 17 1/9
(C) 17 1/2
(D) 17 1/7
(E) 17 1/5
answer: Stream of consciousness: 1/30 + 1/40 = 7/120
120/7 = 17 1/7 days The answer is (A).


question: A train travels m miles in n hours. How many miles will it travel in x hours at the same rate?
Options:
(A) mnx
(B) m⁄n
(C) mx⁄n
(D) mx
(E) mn⁄x
answer:
Stream of consciousness: Given Speed = m/n
To Find distance in x hours with same speed
Distance = speed * time
Distance = m/n*x = mx/n The answer is (C).
question: A man walks at a speed of 3 km/hr and runs at a speed of 9 km/hr. How much time will the man require to cover a distance of 18 km, if he completes half of the distance, i.e., (9) km on foot and the other half by running?
Options:
(A) 4
(B) 5
(C) 6
(D) 8
(E) 9
answer: Stream of consciousness: Required time = (9)/3 + (9)/9 = 4 hours. The answer is (A).


q: An amount of money is to be divided among P, Q and R in the ratio of 4 : 9 : 16. If R gets 4 times more than P, what is Q’s share in it?
Options:
(A) 1,800
(B) 2,700
(C) 3,600
(D) Data inadequate
(E) None of these
a: Stream of consciousness: Here, neither the total amount nor the individual amount is given. So the share of Q cannot be determine The answer is (D).


question: What percent is 150 of 90?
Options:
(A) 133 1/3 %
(B) 166 2/3 %
(C) 135 1/3 %
(D) 140 1/3 %
(E) 143 1/3 %
answer: Stream of consciousness: 150/90 = 5/3
5/3 × 100 = 500/3 = 166 2/3 % The answer is (B).


q: In a staircase, there ar 10 steps. A child is attempting to climb the staircase. Each time she can either make 1 step or 2 steps. In how many different ways can she climb the staricase?
Options:
(A) 23
(B) 277
(C) 18
(D) 178
(E) 181
a: Stream of consciousness: Use fibonnacci series, with starting two terms as 1, 2. So next terms are 3, 5, 8, 13, 21, 34, 55, 89 The answer is (B).


question: Ravi can do a piece of work in 30 days while Prakash can do it in 40 days. In how many days will they finish it together?
Options:
(A) 17 1/7
(B) 17 1/9
(C) 17 1/2
(D) 17 1/7
(E) 17 1/5
answer: Stream of consciousness: 1/30 + 1/40 = 7/120
120/7 = 17 1/7 days The answer is (A).


question: A train travels m miles in n hours. How many miles will it travel in x hours at the same rate?
Options:
(A) mnx
(B) m⁄n
(C) mx⁄n
(D) mx
(E) mn⁄x
answer:
user
Stream of consciousness: Given Speed = m/n
To Find distance in x hours with same speed
Distance = speed * time
Distance = m/n*x = mx/n The answer is (C).
assistant
question: A man walks at a speed of 3 km/hr and runs at a speed of 9 km/hr. How much time will the man require to cover a distance of 18 km, if he completes half of the distance, i.e., (9) km on foot and the other half by running?
Options:
(A) 4
(B) 5
(C) 6
(D) 8
(E) 9
answer: Stream of consciousness: Required time = (9)/3 + (9)/9 = 4 hours. The answer is (A).


q: An amount of money is to be divided among P, Q and R in the ratio of 4 : 9 : 16. If R gets 4 times more than P, what is Q’s share in it?
Options:
(A) 1,800
(B) 2,700
(C) 3,600
(D) Data inadequate
(E) None of these
a: Stream of consciousness: Here, neither the total amount nor the individual amount is given. So the share of Q cannot be determine The answer is (D).


question: What percent is 150 of 90?
Options:
(A) 133 1/3 %
(B) 166 2/3 %
(C) 135 1/3 %
(D) 140 1/3 %
(E) 143 1/3 %
answer: Stream of consciousness: 150/90 = 5/3
5/3 × 100 = 500/3 = 166 2/3 % The answer is (B).


q: In a staircase, there ar 10 steps. A child is attempting to climb the staircase. Each time she can either make 1 step or 2 steps. In how many different ways can she climb the staricase?
Options:
(A) 23
(B) 277
(C) 18
(D) 178
(E) 181
a: Stream of consciousness: Use fibonnacci series, with starting two terms as 1, 2. So next terms are 3, 5, 8, 13, 21, 34, 55, 89 The answer is (B).


question: Ravi can do a piece of work in 30 days while Prakash can do it in 40 days. In how many days will they finish it together?
Options:
(A) 17 1/7
(B) 17 1/9
(C) 17 1/2
(D) 17 1/7
(E) 17 1/5
answer: Stream of consciousness: 1/30 + 1/40 = 7/120
120/7 = 17 1/7 days The answer is (A).


question: A train travels m miles in n hours. How many miles will it travel in x hours at the same rate?
Options:
(A) mnx
(B) m⁄n
(C) mx⁄n
(D) mx
(E) mn⁄x
answer:
Stream of consciousness: Given Speed = m/n
To Find distance in x hours with same speed
Distance = speed * time
Distance = m/n*x = mx/n The answer is (C).