Ratio and Proportion Mock Test | Quantitative Aptitude | RRB NTPC

Q1. The sum to infinity of a GP is 18. If the first term is 9, find the common ratio.

1/2 1/3 2/3 1/4

Q2. What is the single equivalent discount for successive discounts of 10% and 20%?

25% 28% 30% 32%

Q3. A dealer marks his goods at 20% above the cost price and then allows a discount of 10%. What is the profit percentage?

8% 10% 12% 15%

Q4. What is the most common value in the data: 25, 26, 25, 27, 25, 28?

25 26 27 28

Q5. The geometric mean of 4 numbers is 5. What is the product of these numbers?

25 100 625 20

Q6. At what time between 8 PM and 9 PM will the hands of a clock be together?

8:43 7/11 8:44 6/11 8:43 6/11 8:44 5/11

Q7. If $x + rac{1}{y} = 3$ and $y + rac{1}{x} = rac{4}{3}$, then the value of $xy$ is:

3/2 2/3 1/2 2

Q8. Consider a grouped data with modal class 30-40. The frequency of this class is 20. The frequencies of the preceding and succeeding classes are 15 and 18 respectively. The class width is 10. If the frequency of the class interval 40-50 is decreased by 5, what will be the new mode?

31.8 33.5 32.5 34.2

Q9. The sum of the ages of father and son is 60 years. 5 years ago, the father's age was 5 times the son's age. Find the present age of the father.

40 years 45 years 50 years 55 years

Q10. The mean of $x_1, x_2, ..., x_n$ is $ar{x}$. If each observation is multiplied by k, what is the new mean?

k$ar{x}$ $ar{x} + k$ $ar{x} - k$ k + $ar{x}$

Q11. What is the amount if the principal is ₹6000, rate is 4% per annum, and time is 2 years?

₹6480 ₹6496 ₹6500 ₹6520

Q12. A mixture contains milk and water in the ratio 3:2. If 30 liters of mixture are taken out and replaced by water, the ratio of milk to water becomes 1:2. What is the quantity of water in the original mixture?

40 liters 60 liters 80 liters 100 liters

Q13. When does a situation represent direct proportion?

When one quantity increases, the other decreases When one quantity increases, the other increases by the same factor When one quantity increases, the other stays the same When one quantity decreases, the other increases by the same factor

Q14. If p/3 < 5, what is the value of p?

p < 15 p > 15 p = 15 p < 5

Q15. The geometric mean of two numbers is 12. If one number is 6, what is the other number?

12 18 24 36

Q16. A loan of Rs. 36,000 is to be repaid in 3 equal annual installments. If the interest rate is 8% per annum, what is the value of each installment?

Rs. 13,500.00 Rs. 14,000.00 Rs. 14,580.00 Rs. 15,000.00

Q17. If x is inversely proportional to the square of y, and x = 10 when y = 2, what is the value of x when y = 4?

2.5 5 20 40

Q18. If a radio is sold at a profit of 10% and then at a profit of 20%, the difference in the selling prices is Rs. 110. What is the cost price of the radio?

Rs. 1000 Rs. 1100 Rs. 1200 Rs. 1300

Q19. A cistern can be filled by pipes A and B working together in 6 hours. Pipe A alone can fill the cistern in 10 hours. In how many hours can pipe B alone fill the cistern?

12 hours 15 hours 18 hours 20 hours

Q20. A sum of money doubles in 5 years at compound interest. In how many years will it become 8 times itself?

10 years 15 years 20 years 25 years

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