Maths Questions for Upcoming UP Police and Railways Exams
Q1. A number, when 35 is subtracted from it, reduces to its 80 percent. What is four fifth of that number?
(a) 70
(b) 90
(c) 120
(d) 140
(e) 160
Q2. The sum of two numbers is 28/25 of the first number. The second number is what percent of the first?
(a) 12%
(b) 14%
(c) 16%
(d) 18%
(e) 24%
Q3. The price of a car is Rs. 3,25,000. It was insured to 85% of its price. The car was damaged completely in an accident and the insurance company paid 90% of the insurance. What was the difference between the price of the car and the amount received?
(a) Rs. 32,500
(b) Rs. 48,750
(c) Rs. 76,375
(d) Rs. 81,250
(e) Rs. 72,375
Q4. The interest on a certain deposit at 4.5% p.a. is Rs. 202.50 in one year. How much will the additional interest in one year be on the same deposit at 5% p.a.?
(a) Rs. 20.25
(b) Rs. 22.50
(c) Rs. 25
(d) Rs. 42.75
(e) Rs. 25.20
Q5. Nitin borrowed some money at the rate of 6% p.a. for the first three years, 9% p.a. for the next five years and 13% p.a. for the period beyond eight years. If the total interest paid by him at the end of eleven years is Rs. 8160, how much money did he borrow?
(a) Rs. 8000
(b) Rs. 10,000
(c) Rs. 12,000
(d) Rs. 10,500
(e) Rs. 14,000
Solutions (1-5):
Q6. In how many years will a sum of Rs. 800 at 10% per annum compounded semiannually become Rs. 926.10?
(a) 4/3
(b) 3/2
(c) 7/3
(d) 5/2
(e) 5/7
Q7. A sum of money lent at compound interest for 2 years at 20% per annum would fetch Rs. 482 more, if the interest was payable half-yearly than if it was payable annually. The sum is:
(a) Rs. 10,000
(b) Rs. 20,000
(c) Rs. 40,000
(d) Rs. 50,000
(e) Rs. 60,000
Q8. In how many different ways can the letters of the word ‘JUDGE’ be arranged in such a way that the vowels always come together?
(a) 48
(b) 120
(c) 124
(d) 160
(e) 240
Q9. A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?
(a) 32
(b) 48
(c) 64
(d) 96
(e)128
Q10. A box contains 10 black and 10 white balls. The probability of drawing two balls of the same colour, is:
(a) 9/19
(b) 9/38
(c) 10/19
(d) 5/19
(e) 7/19
Solutions (6-10):
Directions (11 to 15) : The circle-graph given here shows the spendings of a country on various sports during a particular year. Study the graph carefully and answer the questions given below it.
Q11. What percent of the total spendings is spent on Tennis?
(a) 12.5%
(b) 22.5%
(c) 25%
(d) 45%
(e) 50%
Q12. How much percent more is spent on Hockey than that on Golf?
(a) 27%
(b) 35%
(c) 37.5%
(d) 75%
(e) 80%
Q13. How much percent less is spent on Football than that on Cricket?
(a) 200/9%
(b) 27%
(c) 100/3%
(d) 75/2%
(e) 25%
Q14. If the total amount spent on sports during the year was Rs. 2 crores, the amount spent on Cricket and Hockey together was:
(a) Rs. 8,00,000
(b) Rs. 80,00,000
(c) Rs. 1,20,00,000
(d) Rs. 1,60,00,000
(e) None of these
Q15. If the total amount spent on sports during the year be Rs. 1,80,00,000, the amount spent on Basketball exceeds that on Tennis by:
(a) Rs. 2,50,000
(b) Rs. 3,60,000
(c) Rs. 3,75,000
(d) Rs. 4,10,000
(e) Rs. 2,60,000
Solutions (11-15):
(a) 70
(b) 90
(c) 120
(d) 140
(e) 160
Q2. The sum of two numbers is 28/25 of the first number. The second number is what percent of the first?
(a) 12%
(b) 14%
(c) 16%
(d) 18%
(e) 24%
Q3. The price of a car is Rs. 3,25,000. It was insured to 85% of its price. The car was damaged completely in an accident and the insurance company paid 90% of the insurance. What was the difference between the price of the car and the amount received?
(a) Rs. 32,500
(b) Rs. 48,750
(c) Rs. 76,375
(d) Rs. 81,250
(e) Rs. 72,375
Q4. The interest on a certain deposit at 4.5% p.a. is Rs. 202.50 in one year. How much will the additional interest in one year be on the same deposit at 5% p.a.?
(a) Rs. 20.25
(b) Rs. 22.50
(c) Rs. 25
(d) Rs. 42.75
(e) Rs. 25.20
Q5. Nitin borrowed some money at the rate of 6% p.a. for the first three years, 9% p.a. for the next five years and 13% p.a. for the period beyond eight years. If the total interest paid by him at the end of eleven years is Rs. 8160, how much money did he borrow?
(a) Rs. 8000
(b) Rs. 10,000
(c) Rs. 12,000
(d) Rs. 10,500
(e) Rs. 14,000
Solutions (1-5):
Q6. In how many years will a sum of Rs. 800 at 10% per annum compounded semiannually become Rs. 926.10?
(a) 4/3
(b) 3/2
(c) 7/3
(d) 5/2
(e) 5/7
Q7. A sum of money lent at compound interest for 2 years at 20% per annum would fetch Rs. 482 more, if the interest was payable half-yearly than if it was payable annually. The sum is:
(a) Rs. 10,000
(b) Rs. 20,000
(c) Rs. 40,000
(d) Rs. 50,000
(e) Rs. 60,000
Q8. In how many different ways can the letters of the word ‘JUDGE’ be arranged in such a way that the vowels always come together?
(a) 48
(b) 120
(c) 124
(d) 160
(e) 240
Q9. A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?
(a) 32
(b) 48
(c) 64
(d) 96
(e)128
Q10. A box contains 10 black and 10 white balls. The probability of drawing two balls of the same colour, is:
(a) 9/19
(b) 9/38
(c) 10/19
(d) 5/19
(e) 7/19
Solutions (6-10):
Directions (11 to 15) : The circle-graph given here shows the spendings of a country on various sports during a particular year. Study the graph carefully and answer the questions given below it.
Q11. What percent of the total spendings is spent on Tennis?
(a) 12.5%
(b) 22.5%
(c) 25%
(d) 45%
(e) 50%
Q12. How much percent more is spent on Hockey than that on Golf?
(a) 27%
(b) 35%
(c) 37.5%
(d) 75%
(e) 80%
Q13. How much percent less is spent on Football than that on Cricket?
(a) 200/9%
(b) 27%
(c) 100/3%
(d) 75/2%
(e) 25%
Q14. If the total amount spent on sports during the year was Rs. 2 crores, the amount spent on Cricket and Hockey together was:
(a) Rs. 8,00,000
(b) Rs. 80,00,000
(c) Rs. 1,20,00,000
(d) Rs. 1,60,00,000
(e) None of these
Q15. If the total amount spent on sports during the year be Rs. 1,80,00,000, the amount spent on Basketball exceeds that on Tennis by:
(a) Rs. 2,50,000
(b) Rs. 3,60,000
(c) Rs. 3,75,000
(d) Rs. 4,10,000
(e) Rs. 2,60,000
Solutions (11-15):
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