model 2 find lcm of numbers 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 : 36 [SSC CPO 2016]
The LCM of four consecutive numbers is 60. The sum of the first two numbers is equal to the fourth number. What is the sum of four numbers?
a) 24
b) 21
c) 14
d) 17
Answer »Answer: (c)
2 | 60 |
2 | 30 |
3 | 15, |
5 |
∴ 60 = 2 × 2 × 3 × 5
i.e., Numbers = 2, 3, 4 and 5
∴ Required sum = 2 + 3 + 4 + 5 = 14
Question : 37 [SSC CGL 2011]
The least number which when divided by 16, 18, 20 and 25 leaves 4 as remainder in each case but when divided by 7 leaves no remainder is
a) 18004
b) 18002
c) 18000
d) 17004
Answer »Answer: (a)
LCM of 16, 18, 20 and 25 = 3600
∴ Required number = 3600K + 4 which is exactly divisible by 7 for certain value of K.
When K = 5,
number = 3600 × 5 + 4
= 18004 which is exactly divisible by 7.
Question : 38 [SSC CGL Tier-1 2011]
Three bells ring simultaneously at 11a.m. They ring at regular intervals of 20 minutes, 30 minutes, 40 minutes respectively. The time when all the three ring together next is
a) 1.30 p.m.
b) 1.15 p.m.
c) 1 p.m.
d) 2 p.m.
Answer »Answer: (c)
LCM of 20, 30 and 40 minutes = 120 minutes
Hence, the bells will toll together again after 2 hours i.e. at 1 p.m.
Question : 39
The number nearest to 10000, which is exactly divisible by each of 3, 4, 5, 6, 7 and 8, is :
a) 10000
b) 9996
c) 10080
d) 9240
Answer »Answer: (c)
LCM of 3, 4, 5, 6, 7, 8 = 840
11$760/840$ = 10000
Since, the remainder 760 is more than half of the divisor 840.
∴ The nearest number
= 10000 + (840 – 760) = 10080
Question : 40
A number which when divided by 10 leaves a remainder of 9, when divided by 9 leaves a remainder of 8, and when divided by 8 leaves a remainder of 7, is :
a) 1359
b) 359
c) 539
d) 1539
Answer »Answer: (b)
Using Rule 5,
Here, Divisor – remainder = 1
e.g., 10 – 9 = 1, 9 – 8 = 1, 8 – 7 = 1
∴ Required number = (L.C.M. of 10, 9, 8) –1
= 360 – 1 = 359
IMPORTANT quantitative aptitude EXERCISES
model 2 find lcm of numbers Shortcuts »
Click to Read...model 2 find lcm of numbers Online Quiz
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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