I am providing you the model question paper of Railway Recruitment Board RRB Junior Engineer exam.

RRB Junior Engineer exam question paper

Ques 1.

Six bells commencing tolling together toll at intervals of 2, 3, 6, 8,10 and 12 seconds respectively.In

30 minutes how many times do they toll together?

Ans 1. L.C.M of 2, 4, 6, 8, 10 and 12 is 120.

so, the bells will toll together after 120 seconds i.e. 2 minutes .

In 30 minutes the bells toll together 30/2 + 1 times i.e. times.

Ques 2.

The H.C.F of two numbers is 11 and their L.C.M is 7700. If one of these numbers is 275, then find

the other number.

Ans 2. Product of two number s = product of their H.C.F. and L.C.M. required number = 11 X

7700/275 = 308

Ques 3.

A gardener had a number of shrubs to plant in rows . At first he tried to plant 8, then 12 and then 16

in a row but he always had 3 shrubs left with him . On trying 7 shrubs he was left with none.Find the

total number of shrubs.

Ans 3. L.C.M of 8,12,16 = 48 Now, 48 x 1 + 3 = 51 - not divisible by 7 48 x 2 + 3 = 99 - not divisible

by 7 48 x 3 + 3 = 147 - not divisible by 7 Required number = 147

Ques 4.

Three measuring rods are 64 cm,80 cm and 96 cm in length . What is the least length of cloth that

can can be measured exact number of times using any one of these rods?

(a) 9.60 m

(b) 8 m

(c) 9.60 cm

(d) 96 m

Ques 5.

The sum of two numbers is 528 and their H.C.F is 33. What is the number of pairs of such numbers

?

(a) 4

(b) 12

(c) 8

(d) 6 Ans 5. 4

Hint : Let the number be 33x and 33y where x and y are co-prime.

Ques 6.

The largest numbers which divides 30, 78 and 102 to leave the same remainder in each case is

(a) 24

(b) 20

(c) 8

(d) 16

Ans 6. 24

Ques 7.

Find the least number of five digits which is exactly divisible by 12, 15 and 18.

(a) 1080

(b) 10080

(c) 10025

(d) 11080

Ans 7.10080

Hint : The least number of 5 digits is 10000. L.C.M. of 12, 15 and 18 is 180 . On dividing 10000

is 100.

=> 10000 + 180- 100 = 10080 is divisible by 180.

Ques 8.

The smallest number which when divided by 20, 25, 35 and 40 leaves a remainder of 14, 19,29 and

34 respectively is

(a) 1994

(b) 1494

(c) 1394

(d) 1496

Ans8.1394

**RRB Junior Engineer exam question paper**
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