number system 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
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Time & Distance
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Mensuration: Area & Volumes
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If the sum of the digits of any integer lying between 100 and 1000 is subtracted from the number, the result always is
Answer: (d)
(100x + 10y + z) – (x + y + z)
= 99x + 9y = 9 (11x + y)
The H.C.F. and L.C.M. of two numbers are 44 and 264 respectively. If the first number is divided by 2, the quotient is 44. The other number is
Answer: (a)
First number = 2 × 44 = 88
Other number = ${44 × 264}/88 = 132$
What is the least number to be added to 1500 to make it a perfect square?
Answer: (b)
$38^2$ = 1444
$39^2$ = 1521
∴ Required number = 1521 – 1500 = 21
The sum of digits of three digit number is subtracted from the number. The resultant number is always :
Answer: (c)
Let the hundred's, tens and unit digit of the required number be x, y and z respectively
Then the number = 100x + 10y + z ...(1)
and sum of digits = x + y + z ...(2)
(1) – (2) gives 99x + 9y = 9 (11x + y)
which is always divisible by 9.
The remainder when 6... times $6^{6^{6^{6^{6…∞}}}}$ is divided by 10 is
Answer: (b)
Since $6/10$ → Remainder is 6
$6^6/10$ → Remainder is 6
$6^{6^6}/10$ → Remainder is 6
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