Quants : Quiz from SBI PO Mock test 1 with Explanation

Hello friends,This is quiz from SBI PO mock test (quant section ) with explanation.Numbering of question is same as numbering in mock test 1.

6.If x is subtracted from the numbers 7, 31 and 199, then the remainders will be in continued proportion. What is the value of x?
1 : 3
2 : 2
3 : 4
4 : 1
5 : 5
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7.P and Q together can complete a work in 6 days. Q and R together can complete the same work in 15 days. P and R together can complete the work in 20/3 days. What is the ratio of number of days that Q alone takes to complete the work to the number of days that R alone takes to complete the work?
1 : 3 : 5
2 : 1 : 3
3 : 1 : 5
4 : 2 : 3
5 : None of these
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8.A shopkeeper purchased an article for Rs.7,500. If it is marked 25% above the cost price and sold by offering 10% discount then find the gain of the shopkeeper.
1 : Rs.657.50
2 : Rs.792.50
3 : Rs.937.50
4 : Rs.1021.50
5 : None of these
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9.Rs.12800 amounts to Rs.25000 in 3 years at a certain rate of compound interest. Find the rate of interest per annum.
1 : 25%
2 : 15%
3 : 20%
4 : 18%
5 : None of these
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10.Four-thirds of a number equals the cube of another number. If the second number equals eight percent of 75, then find the sum of the first and the second numbers.
1 : 168
2 : 222
3 : 150
4 : 204
5 : None of these
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11.In a school, of the total number of students, 60% are boys. If 4% of the boys join, and 3% of the girls leave the school, then new strength of the students exceeds the original strength of the students by 144. Number of girl students in the school is _____.
1 : 7200
2 : 4800
3 : 3500
4 : 4200
5 : None of these.
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12.Two friends – Charan and Prasanna were playing some matches of chess. Initially, Charan had 20 chocolates and Prasanna had 15 chocolates. They made an agreement that the person who loses a match should give one chocolate to his opponent. After certain matches, the number of chocolates with them got interchanged. Find the number of matches they played, if Charan won five matches
1 : 10
2 : 15
3 : 5
4 : 20
5 : None of these
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13.Abhijit purchased furniture for Rs.60800. He marked the article 20% above the cost price and sold it by offering 15% discount. Find his profit or loss percent.
1 : 4% gain
2 : 6% gain
3 : 2% gain
4 : 4% loss
5 : None of these
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14.A certain amount is to be distributed among A, B and C in the ratio 2 : 3 : 4. But erroneously it is distributed in the ratio of 5 : 7 : 6 and as a result B got Rs.137 more. What is the original amount?
1 : Rs.4932
2 : Rs.2538
3 : Rs.2340
4 : Rs.2466
5 : None of these
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