model 1 Basic formula of LCM & HCF Practice Questions Answers Test with Solutions & More Shortcuts
LCM & HCF PRACTICE TEST [5 - EXERCISES]
model 1 Basic formula of LCM & HCF
model 2 find lcm of numbers
model 3 find hcf of numbers
model 4 addition, subtraction, multiplication and division with lcm & hcf
model 5 lcm & hcf vs ratios
Question : 6 [S.S.C. (CHSL) 2013]
The product of two numbers is 2160 and their HCF is 12. Number of such possible pairs is
a) 1
b) 2
c) 3
d) 4
Answer »Answer: (b)
HCF = 12
Numbers = 12x and 12y
where x and y are prime to each other.
∴ 12x × 12y = 2160
⇒ xy = $2160/{12 × 12} $
= 15 = 3 × 5, 1 × 15
Possible pairs = (36, 60) and (12, 180)
Hence , Number of such possible pairs is 2.
Question : 7 [S.S.C. (CGL) 2004]
The HCF of two numbers is 23 and the other two factors of their LCM are 13 and 14. The larger of the two numbers is :
a) 276
b) 299
c) 345
d) 322
Answer »Answer: (d)
HCF is 23. So the other two numbers would be,
(23 * 13) and (23 * 14).
Thus Larger Number = 23 * 14 = 322.
Question : 8 [S.S.C. (CGL) 1999]
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) 225
Answer »Answer: (c)
Given, LCM = 225, HCF = 5,
First Number = 25 , Second Number = ?
We can find the Second Number with the help of given formula,
"LCM × HCF = 1st Number× 2nd Number"
⇒ 225 × 5 = 25 × 2nd Number
2nd Number = ${\text"225 x 5"}/25$
∴ 2nd Number = 45
Question : 9 [S.S.C. (CHSL) 2011]
The H.C.F. of two numbers is 96 and their L.C.M. is 1296. If one of the number is 864, the other is
a) 132
b) 135
c) 140
d) 144
Answer »Answer: (d)
Using Rule 1 :
1st number × 2nd number = L.C. M. × H.C.F,
First number × Second number = HCF × LCM
⇒ 864 × Second number
= 96 × 1296 ⇒ Second number
${96 × 1296}/864$ = 144
Question : 10 [S.S.C. (CGL) 2011]
The HCF and LCM of two numbers are 12 and 924 respectively. Then the number of such pairs is
a) 0
b) 1
c) 2
d) 3
Answer »Answer: (c)
IMPORTANT quantitative aptitude EXERCISES
model 1 Basic formula of LCM & HCF Shortcuts »
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Click to Start..LCM & HCF Shortcuts and Techniques with Examples
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model 1 Basic formula of LCM & HCF
Defination & Shortcuts … -
model 2 find lcm of numbers
Defination & Shortcuts … -
model 3 find hcf of numbers
Defination & Shortcuts … -
model 4 addition, subtraction, multiplication and division with lcm & hcf
Defination & Shortcuts … -
model 5 lcm & hcf vs ratios
Defination & Shortcuts …
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