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Quantative Questions for ITC(Infotech)-1

Q. No. :1
Question :Towns P and Q are 80km apart. Cars A and B are stationed at towns P and Q respectively. If they start towards each other, they would meet in an hour. If both start moving in the same direction, the faster car would overtake the slower car in 4 hours. Find the speed of the faster car(in kmph).
A :
50
B :
55
C :
60
D :
65
Answer: A
Q. No. :2
Question :Mr. Ashok takes 16hours to go by train to a certain town and return by car. He would save 4 hours if he traveled both ways by car. Find the time he would lose, if he traveled both ways by train(in hours).
A :
1
B :
3
C :
4
D :
2
Answer: C
Q. No. :3
Question :P can complete a job in 24days and Q can do it in 72days. P,Q and R start the job, after six days P leaves. In 12 more days Q and R complete the job. Find the time (in days)in which R can complete another job, which is six times as big.
A :
108
B :
144
C :
216
D :
256
Answer: C
Q. No. :4
Question : Gauri went to the stationers and bought things worth Rs. 25, out of which 30 paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
A :
Rs 15
B :
Rs 15.70
C :
Rs 19.70
D :
Rs 20
Answer: C
Q. No. :5
Question :Ramesh and Suresh started a business. Ramesh invested Rs 9000 for ten months and Suresh invested Rs 6000 for a year. If the profit at the end of a year was Rs 4500, find Suresh's share.
A :
Rs 3600
B :
Rs 2700
C :
Rs 2500
D :
Rs 2000
Answer: D
Q. No. :6
Question :A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is:
A :
5%
B :
6%
C :
7%
D :
8%
Answer: A
Q. No. :7
Question :A large cube is formed from the material obtained by melting three smaller cubes of 3, 4 and 5 cm side. What is the ratio of the total surface areas of the smaller cubes and the large cube?
A :
2:1
B :
3:2
C :
25:18
D :
27:20
Answer: C
Q. No. :8
Question :If the number 1766 x K is a perfect cube, find the least value of K. 
A :
24
B :
42
C :
46
D :
16
Answer: B
Q. No. :9
Question : Nikhil went to a stationary shop and bought erasers, sharpeners and pencils. The cost of each eraser is Rs 2, each sharpeners is Rs 3 and each pencil is Rs 5. He spent Rs 35 for these and he bought at least one of each item. The maximum number of sharpeners he could have bought is
A :
4
B :
6
C :
8
D :
10
Answer: C
Solution
Q. No. :10
Question :The ratio of Ahmed's age to Mohammed's age is the same as the ratio of the ages of their respective elder brothers. The ratio of the difference of the ages of Ahmed and Mohammed to that of the difference of the ages  of their respective brothers is 1:2. What is the ratio of the sum of the ages of their respective brothers to the sum of the ages of Ahmed and Mohammed?
A :
2:1
B :
3:1
C :
4:1
D :
1:1
Answer: A