Wipro Questions with solutions LCM and HCF
1. The least perfect square, which is divisible by each of 20, 35, and 65 is
a: 3314434
b: 3341200
c: 3312400
d: 4331444
Option C
Explanation:
L.C.M. of 20, 35, 65 = 1820
Now, 1820= 5 x 4 x 7 x 13
To make it a perfect square, it must be multiplied by 5 x 4
x 7 x 13
So, required number =5 x 4 x 7 x 13 x 5 x 4 x 7 x 13
= 52 x 42 x 72 x 132 = 3312400
2. The HCF and LCM of the 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: 10
d: 11
Option b i.e 91
LCM×HCF=Product of two numbers
This question is one of the easiest ones, if you still
cannot find how to do it, just comment on the page we will share the step-wise
solutions.
3. Ram got a question in his maths test that,If LCM of two number is 369, HCF of two numbers is 27 and one number is 9, then find other
a: 1390
b: 1212
c: 1107
d: 1502
Answer:1107
Explanation:
For any this type of question, remember
Product of two numbers = Product of their HCF and LCM
So Other number = (369*27)/9 = 1107
Easy trick is
We all know
Product of two numbers = Product of their HCF and LCM
So, 369*27 = 9*X
therefore X = (369 x 27) / 9
X = 1107
4. Find the greatest number which on dividing 1654 and 2153, leaves a remainder of 24 and 23 respectively?
a: 15
b: 12
c: 10
d: 13
Answer:10
In this type of question, it's obvious we need to calculate
the HCF, the trick is
Required Number = HCF of ( 1654 - 24 ) and HCF of ( 2153 -
23 )
therefore HCF of 1630 and 2130 is 10
5. Which greatest possible length can be used to measure exactly 20 meters 15 cm, 21 meters 55 cm, and 12 meters 65 cm?
a: 8
b: 5
c: 4
d: 2
Answer: 5
We need to find out the HCF for the given length.
20 meter 15 cm = 2015 cm.
21 meter 55 cm = 2155 cm.
12 meter 65 cm = 1265 cm.
HCF of 2015, 2155, and 1265 is 5.
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| Wipro Questions with solutions LCM and HCF Part - 1 |
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