(IGP) IAS Pre Paper - 2: GS - Basic Numeracy - HCF & LCM (MCQ -3)
Basic Numeracy
HCF & LCM (MCQ -3)
1. How many numbers less than 10,000 are there which
are divisible by 21, 35 and 63?
(a) 33
(b) 32
(c) 38
(d) 31
2. Find the side of the largest possible
square slabs which can be paved on the floor of a room 2m 50 cm long
and 1 m 50 cm broad. Also find the number of such slabs to
pave the floor.
(a) 40, 18
(b) 30, 15
(c) 50, 15
(d) 20, 25
3. What is the largest number which when
divides 1475, 3155 and 5255 leaves the same remainder in each case?
(a) 220
(b) 420
(c) 350
(d) 540
4. A florist has 200
roses and 180 jasmines with him. He was asked to make garlands of
flowers with only roses or only jasmines each containing the same
number of flowers. What will be the largest number of flowers, he
can join together without leaving a single flower?
(a) 16
(b) 17
(c) 20
(d) 19
5. The HCF and LCM of a pair of numbers
are 12 and 926 respectively. How many such distinct pairs are
possible?
(a) 3
(b) 7
(c) 1
(d) 0
6. Find the LCM of 5/2, 8/9, 11/14.
(a) 290
(b) 380
(c) 420
(d) 440
7. Which of the following numbers gives
the same remainder when it divides 2272 and 875?
(a) 173
(b) 127
(c) 129
(d) 139
8. The HCF and LCM of two numbers are 18
and 3780 respectively. If one of them is 540, then the second one
is:
(a) 146
(b) 126
(c) 118
(d) 117
9. The LCM of two numbers is 864 and
their HCF is 144. If one of the numbers is 288, the other number is:
(a) 577
(b) 444
(c) 432
(d) 148
10. The least number which when divided
by 4, 6, 8, 12 and 16 leaves a remainder of 2 in each case is:
(a) 20
(b) 43
(c) 50
(d) 59
11. The HCF of two numbers is 8. Which
one of the following can never be their LCM?
(a) 32
(b) 24
(c) 48
(d) 60
12. The product of the LCM and HCF of
two numbers is 24. The difference of the two numbers is 2. Find the
numbers.
(a) 2 and 6
(b) 9 and 14
(c) 2 and 4
(d) 6 and 4
13. Find the greatest number that will
divide 640, 710 and 1526 so as to leave 11, 7, 9 as remainders
respectively.
(a) 36
(b) 37
(c) 42
(d) 29
14. If LCM of two natural numbers is 36
and their sum is 30. Find the two numbers.
(a) 15, 4
(b) 12, 18
(c) 9, 21
(d) 4, 26
15. Two persons A and B
walk round a circle whose diameter is 1.4 km. A walks at a speed of
165 meters per minute while B walks at a speed of 110 meters per
minute. If they both start at the same time, from the same point and
walk in the same direction, at what interval of time would they both
be at the same starting point again?
(a) 3h
(b) 4/3h
(c) 5/3h
(d) 7/2h
16. 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
17. 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
18. 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
19. 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 5 1 2 feet lengths. For minimum
waste the lengths to be ordered should be:
(a) 23 ft
(b) 28 ft
(c) 22 ft
(d) 52 ft
20. 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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