Ratio & Proportion (Railway Maths) (Part – VII)

Total Questions: 50

1. The sum of three numbers is 100. The ratio of the first number to the second number is 4 : 9 and the ratio of the second to the third number is 3 : 4. Find the second number. [RRB JE 25/05/2019 (Morning) ]

Correct Answer: (c) 36
Solution:

2. Rs.305 is divided into three parts, such that 3/7 of the first, 2/3 of the second and 4/5 of the third are equal. Find the share of the third one. [RRB JE 26/05/2019 (Evening) ]

Correct Answer: (b) Rs.75
Solution:

3. If Rs. 750 is divided into three parts x, y and z such that (x − 5) : (y − 10) : (z − 15) = 5 : 4 : 3, then find the share of x, y and z respectively. [RRB JE 30/05/2019 (Evening)]

Correct Answer: (b) Rs. 305, Rs. 250, Rs. 195
Solution:

4. Instead of dividing Rs. 117 among P, Q and R in the ratio 1/2 : 1/3 : 1/4, it was wrongly divided in the ratio 2 : 3 : 4. Who gains the most in this distribution and how much do they gain? [RRB JE 31/05/2019 (Evening)]

Correct Answer: (c) R, Rs. 25
Solution:

5. The population of a town increased by 10% and 20% in two successive years, but decreased by 25% in the third year. Find the ratio of the population in the third year and the population 3 years back. [RRB JE 01/06/2019 (Morning)]

Correct Answer: (c) 99 : 100
Solution:

6. The ratio of salaries of P and Q last year is 4 : 5. The ratio of last year salary and the present salary of P is 3 : 5 and for Q this ratio is 2 : 3. If their total salary at present is Rs. 6800, what is salary of Q ? [RRB JE 01/06/2019 (Evening) ]

Correct Answer: (b) Rs.3600
Solution:

7. 2/5 of a set of notebooks that are sold on the first day. 3/4 of the remaining got sold on the second day. If 75 notebooks remain still, how many notebooks were kept for sale? [RRB JE 28/06/2019 (Evening) ]

Correct Answer: (b) 500
Solution:

8. The ratio of the present salaries of Vinod and Manoj is 6 : 7. If the salary of both is increased by ₹ 16,000, then the ratio becomes 8 : 9. What is the present salary of Manoj ? [ALP Tier II 21/01/2019 (Afternoon) ]

Correct Answer: (b) ₹56,000
Solution:

9. The ratio of the shorter side of an A4 sheet to the longer side of an A3 sheet is ______. [ALP Tier II 21/01/2019 (Afternoon) ]

Correct Answer: (c) 1 : 2
Solution:

10. An employee's monthly salary is ₹12,600, and he spends 5/7 of it. If his salary is increased by 1/3 and the expenditure is increased by 1/5th of the current expenditure, what fraction of his salary will he be able to save now? [ALP Tier II 23/01/2019 (Morning) ]

Correct Answer: (c) 5/14
Solution: