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LCM HCF Quiz For Upcoming Exams

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Q1.
The LCM of two numbers is 864 and their HCF is 144. If
one of the number is 288, the other number is:
(a) 576 (b) 1296
(c) 432 (d) 144

Q2.
LCM of two numbers is 225 and their HCF is 5. If one
number is 25, the other number will be:
(a) 5 (b) 25
(c) 45 (d) 2253.

Q3.
The LCM of two numbers is 30 and their HCF is 5, One of
the numbers is 10, The other is number will be :
(a) 20 (b) 25
(c) 15 (d) 54.

Q4.
The HCF and LCM of two numbers are 13 and 455
respectively. If one of the numbers lies between 75 and
125, then, that number is:
(a) 78 (b) 91
(c) 104 (d) 1175.

Q5.
The least number which when divided by 4, 6, 8, 12 and
16 leaves a remainder of 2 in each case is :
(a) 46 (b) 48
(c) 50 (d) 566.

Q6.
The least number, which when divided by 12, 15, 20 or
54 leaves remainder of 4 in each case is:
(a) 456 (b) 454
(c) 540 (d) 447.

Q7.
The maximum number of students among whom 1001
pens and 910 pencils can be distributed in such a way
that each students get same number of pens and same
number of pencils, is:
(a) 91 (b) 910
(c) 1001 (d) 1911

Q8.
Four bells ring at intervals of 4, 6, 8 and 14 seconds,
They start ringing simultaneously at 12.00 O” clock. At
what time will they again ring simultaneously:
(a) 12 hrs. 2 min. 48 sec (c) 12 hrs. 3 min. 20 sec

Q9.
The product of the LCM and HCF of two numbers is 24.
The difference of the two numbers is 2. Find the
numbers?
(a) 8 and 6 (b) 8 and 10
(c) 2 and 4 (d) 6 and 4

Q10.
The LCM of two numbers is 495 and their HCF is 5. If the
sum of the numbers is 100, then their difference is:
(a) 10 (b) 46
(c) 70 (d) 90

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