number system Model Questions & Answers, Practice Test for ssc chsl tier 1 2023
ssc chsl tier 1 2023 SYLLABUS WISE SUBJECTS MCQs
Number System
Simplification
Powers Surds & Indices
Ratio Proportion & Partnership
Percentages
Profit & Loss
Time & Work
Time & Distance
Simple Interest & Compound Interest
Mensuration: Area & Volumes
Which one of the following is the largest divisor of $3^x + 3^{x+1} + 3^{x+2}$, if x is any natural number?
Answer: (b)
$3^x + 3^{x + 1}+3^{x + 2} = 3^x (1 + 3 + 9) = 3^x ×13$
Min value of x = 1
∴ Min divisor = 3 × 13 = 39
The least number which when divided by 48, 64, 90, 120 will leave the remainders 38, 54, 80, 110 respectively, is
Answer: (c)
Here, (48 – 38) = 10, (64 – 54) = 10,
(90 – 80) = 10 and (120 – 110) = 10.
∴ Required number = (L.C.M of 48, 64, 90 and 120) – 10 = 2870
A ten-digit number is divisible by 4 as well as by 5. What could be the possible digit at the ten’s place in the given number?
Answer: (d)
For divisible by 5:
A number is divisible by 5 then its unit place must be 0 or 5.
For divisible by 4:
The last two digit of a number is divisible by 4, then the number is divisible by 4.
Possible digit at ten's place = 0, 2, 4, 6, 8.
A, B, C, D and E are five consecutive odd numbers The sum of A and C is 146. What is the value of E?
Answer: (d)
A + C = 146
or A + A + 4 = 146
or A = ${146 - 4}/2 = 71$
∴ E = A + 8 = 71 + 8 = 79
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