Number System-Railway Maths Part III

Total Questions: 50

21. Which of the following numbers is divisible by 7, 11 and 13? [Level 3 (14/06/2022) Shift 1]

Correct Answer: (a) 1002001
Solution:

LCM of 7, 11 and 13 = 1001 (1001)² = 1002001
So, option (a) is divisible by 7, 11 and 13.

22. In a division involving decimal fractions, the divisor is 22.8 and the quotient is 8.5, while the remainder is 0. What is the dividend? [Level 3 (14/06/2022) Shift 2]

Correct Answer: (b) 193.8
Solution:

Dividend = divisor × quotient + remainder Dividend = 22.8 × 8.5 + 0 = 193.8

23. In a bag full of pencils, 3/4 of the pencils were coloured pencils, and 8/15 of the coloured pencils were red. If there were 40 red pencils in the bag. What was the total numbers of pencils in the bag? [Level 5 (15/06/2022) Shift 1]

Correct Answer: (a) 100
Solution:

24. If each packet contains the same number of pencils and there are 96 pencils in all in 12 packets, how many packets will one have to purchase if one requires 304 pencils? [Level 2 (16/06/2022) Shift 2]

Correct Answer: (b) 38
Solution:

25. If 13.5 kg of grapes cost Rs 681.75, Find the cost of 12 kg of grapes. [Level 2 (16/06/2022) Shift 2]

Correct Answer: (a) 606.00
Solution:

26. If a positive integer n is divided by 7, then the remainder is 3. Which of the following numbers yields a remainder of 0 when it is divided by 7 ? [Level 2 (16/06/2022) Shift 3]

Correct Answer: (b) n + 4
Solution:

Let the positive integer be n. n is divided by 7 leaves remainder as 3; n leaves 0 as the remainder when 4 is added to n i.e. n + 4

27. x and y are in direct proportion and y = 92.5 when x = 37 , what will be the value of y when x = 16? [Level 2 (16/06/2022) Shift 3]

Correct Answer: (c) 40
Solution:

28. The product of 16 and another number y is 460.8. What will the quotient be when y is divided by 16? [Level 3 (17/06/2022) Shift 1]

Correct Answer: (c) 1.8
Solution:

Y = 460.8/16 = 28.8
Now, 28.8/16 = 1.8

29. If a product of 0.225, 0.36 and a number N is 243, then what is the value of number N? [Level 3 (17/06/2022) Shift 2]

Correct Answer: (c) 3000
Solution:

30. Which of the following numbers is divisible completely by both 9 and 11? [Level 3 (17/06/2022) Shift 2]

Correct Answer: (d) 10098
Solution:

By option; 10098

Hence, it is divisible by 9
Add alternate digits of the number and find the difference which should be divided by 11.
So, (1 + 0 + 8) - (0 + 9) = 0, which is divisible by 11.
Hence, it is divisible by 11.