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HCF and LCM (Part-2)
📆 June 13, 2025
Total Questions: 37
11.
If the sum of two numbers is 60 and their HCF and LCM are 5 and 60, respectively, then the sum of the reciprocals of the numbers will be:
(a)
(b)
(b)
(c)
Correct Answer:
(b)
12.
The least number of five digits which is exactly divisible by 9, 12, 15, 25 and 27 is:
[SSC CPO 05/10/2023 (3rd Shift)]
(a) 10250
(b) 10800
(c) 10600
(d) 10700
Correct Answer:
(b) 10800
13.
What is the largest number that divides 627, 15630 and 3128 and leaves remainders of 2, 5 and 3, respectively?
[SSC MTS 04/09/2023 (3rd Shift)]
(a) 775
(b) 650
(c) 625
(d) 1225
Correct Answer:
(c) 625
14.
The HCF of three numbers is 57. If they are in the ratio of 4 : 5 : 6, then find the numbers.
[SSC MTS 05/09/2023 (2nd Shift)]
(a) 228, 285, 342
(b) 236, 295, 354
(c) 240, 300, 360
(d) 232, 290, 348
Correct Answer:
(a) 228, 285, 342
15.
Three numbers are in the ratio 3 : 5 : 7 If their LCM is 2625, find their HCF
[SSC MTS 05/09/2023 (3rd Shift)]
(a) 100
(b) 125
(c) 50
(d) 25
Correct Answer:
(d) 25
16.
The largest three-digit number which gives the same remainder 2 when divided by 3, 5 and 9 is________ .
[SSC MTS 08/09/2023 (1st Shift)]
(a) 980
(b) 992
(c) 995
(d) 990
Correct Answer:
(b) 992
17.
The HCF of two numbers is 12. Which of the following can never be their LCM?
[SSC MTS 12/09/2023 (1st Shift)]
(a) 24
(b) 74
(c) 48
(d) 60
Correct Answer:
(b) 74
18.
The product of two numbers in 4107. If the HCF of these numbers is 37, then the greater number is:
[SSC MTS 12/09/2023 (2nd Shift)]
(a) 111
(b) 74
(c) 185
(d) 37
Correct Answer:
(a) 111
19.
The LCM of the two numbers is 1440 and their HCF is 32. If the first number is 288, then find the second number.
[SSC MTS 13/09/2023 (2nd Shift)]
(a) 150
(b) 145
(c) 180
(d) 160
Correct Answer:
(d) 160
20.
What is the greatest three-digit number which when divided by 4, 8 and 9, leaves no remainder?
[SSC MTS 13/09/2023 (3rd Shift)]
(a) 924
(b) 963
(c) 932
(d) 936
Correct Answer:
(d) 936
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