Number System Mcq Pdf Model Questions & Answers, Practice Test for ssc constables capfs nia ssf ar tier 1 2024
ssc constables capfs nia ssf ar tier 1 2024 SYLLABUS WISE SUBJECTS MCQs
Number System
Ratio & Proportion
Percentage
Time & Work
Mensuration
Advance Math
Trigonometric Ratios & Identities
Average
Profit & Loss
Let XYZ be a 3digit number. Let S = XYZ + YZX + ZXY. Which of the following statements is/are correct ?
 S is always divisible by 3 and (X + Y + Z)
 S is always divisible by 9
 S is always divisible by 37
Answer: (d)
S = XYZ + YZX + ZXY
S = 100X + 10Y + Z + 100Y + 10Z + X + 100Z + 10X + Y
= 111 (X + Y + Z) = 3 × 37 (X + Y + Z)
∴ 3 digit number s is always divisible by 3, (x + y + Z) and 37, but not always divided by 9
The cost of 5 tables and 6 chairs is Rs. 2,884. What is the cost of 15 tables and 18 chairs?
Answer: (d)
Let the cost of a table be = Rs. x and that chair be = Rs. y
According to the question,
5x + 6y = Rs. 2884
∴ 3 × 5x + 3 × 6y = 3 × Rs. 2884
or, 15x + 18y = Rs. 8652
The last digit of $3^{3^{4n}}$ + 1 , is
Answer: (b)
Consider $3^{4n} = (81)^n = (1 + 80)^n$ = 1 + 80q, q ∈ N
∴ $3^{3^{4n}} = 3^{80q + 1} = (81)^{20q} . 3$
Since the last digit of $(81)^{20q}$ is 1,
so the last digit of $3^{3^{4n}}$ + 1 is 1 × 3 + 1 = 4
If $(56)^2$ is added to the square of a number, the answer so obtained is 4985. What is the number?
Answer: (a)
Let the number be x.
∵ $x^2 + (56)^2 = 4985$
$x^2$ = 4985 – 3136 = 1849
∴ $x = √1849$ = 43
The last digit in the expansion of $17^256$ is
Answer: (d)
$17^256$
Last digit is 7 so
We know that 7 repeats its unit digit after 4 times.
= $(17)^{64×4}$
Unit of 7 × 7 × 7 × 7 = 2401
Now, 256 is completely divided by 4 so unit digit = 1
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