RRB Junior Engineer (JE) Sample Paper: Mathematics-27

1. There are 5 consecutive natural numbers with LCM as 60. The product of the first two numbers is equal to the 5th number. What is the sum of the 5 numbers?

(a) 0
(b) 19
(c) 20
(d) 25

2. Find the least number which when divided by 16, 18 and 20 leaves a remainder 4 in each case, but is completely divisible by 7.

(a) 465
(b) 3234
(c) 2884
(d) 3234

3. HCF of two numbers is 15 and their LCM is 180. If their sum is 105, then the numbers are:

(a) 30 and 70
(b) 35 and 70
(c) 50 and 75
(d) 45 and 60

4. A certain type of board is sold in lengths of multiples of 2 feet. The shortest board sold is 6 feet, and the longest is 24 feet. A builder needs a large quantity of this type of board in feet lengths. For minimum waste the lengths to be ordered should be:

(a) 23 ft
(b) 28 ft
(c) 22 ft
(d) 52 ft

5. The LCM and HCF of two positive numbers is 1000 and 50 respectively. Which of the following could be the pair of such numbers?

(a) 150 and 200
(b) 175 and 300
(c) 50 and 100
(d) 200 and 250

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1(c), 2(c), 3(d), 4(c), 5(d)`