lcm and hcf Model Questions & Answers, Practice Test for ssc mts paper 1 2023
ssc mts paper 1 2023 SYLLABUS WISE SUBJECTS MCQs
Number System
LCM & HCF
Ratio Proportion & Partnership
Percentages
Profit & Loss
Time & Work
Time & Distance
Simple Interest & Compound Interest
Mensuration: Area & Volumes
Algebraic Expressions
Trigonometric Ratios & Identity
Find the greatest number of 4 digits which, when divided by 2, 3, 4, 5, 6 and 7, should leave remainder 1 in each case.
Answer: (c)
The greatest number of 4 digits = 9999. LCM of 2, 3, 4, 5, 6, 7 = 420
On dividing 9999 by 420, we get 339 as remainder.
∴ the greatest number of 4 digits which is divisible by 2, 3, 4, 5, 6 and 7 = 9999 – 339 = 9660
∴ the required number = 9660 + 1= 9661
Philip, Tom and Brad start jogging around a circular field and complete a single round in 18, 22 and 30 seconds respectively, In how much time, will they meet again at the starting point ?
Answer: (a)
The LCM of 18, 22, 30 is 990.
So, they will meet each other after 990, ie, 16 min and 30 sec.
Four runners started running simultaneously from a point on a circular track they took 200 sec, 300 sec, 360 sec and 450 sec to complete one round, after how much time do they meet at the starting point for the first time?
Answer: (c)
Required time = LCM of 200, 300, 360, 450 sec
=1800 sec.
The value of which of the following fractions is less than twenty per cent ?
Answer: (e)
Change the fractional value into percentage
$5/6$×100 = 83$1/3$%
$2/3$ ×100 = 66$2/3$ %
$2/5$×100 = 40%
$1/4$×100=25%
$2/11$×100=18$2/11%$
Value less than 20% = $2/11$
what least number must be subtracted from 1936 so that the remainder when divided by 9, 10, 15 will leave in each case the same remainder 7?
Answer: (d)
The LCM of 9, 10 and 15 = 90
On dividing 1936 by 90, the remainder = 46
But 7 is also a part of this remainder.
∴ the required number = 46 – 7 = 39
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