# SSC CGL Tier-2 9-March-2018 Maths Shift-2

Instructions

For the following questions answer them individually

Question 1

How many two digit prime numbers are there between 10 to 100 which remains prime numbers when the order of their digits is reversed?

Question 2

How many perfect cubes are there between 1 and 100000 which are divisible by 7?

Question 3

If $$A = 0.142857142857$$ and $$B = 0.16666$$ ......, then what is the value of $$\frac{(A + B)}{AB}$$?

Question 4

If A = 0.abcabc ......, then by what number A should be multiplied so as to get an integeral value?

Question 5

What is the sum of
$$1\frac{1}{2}+4\frac{1}{6}+7\frac{1}{12}+10\frac{1}{20}$$.......... upto 20 terms?

Question 6

If $$\left(\frac{1}{2^1}\right) + \left(\frac{1}{2^2}\right) + \left(\frac{1}{2^3}\right) ....... \left(\frac{1}{2^{10}}\right) = \frac{1}{k}$$, then what is the value of $$k$$?

Question 7

Which of the following statement(s) is/are TRUE?
I. $$1\frac{2}{3}+2\frac{3}{4}+3\frac{4}{5}>8$$

II. $$6\frac{1}{2}-5\frac{3}{4}+4\frac{1}{4}>5$$

Question 8

Which of the following statement(s) is/are TRUE?
I. Highest common factor of $$(3^{2002}-1)$$ and $$(3^{2002}+1)$$ is 4

II. $$(4^{84} - 1)$$ is exactly divisible by 5

Question 9

Which of the following statement(s) is/are TRUE?
I. $$1^{99}+2^{99}+3^{99}+4^{99}+5^{99}$$ is exactly divisible by 5

II. $$31^{11} > 17^{14}$$

Question 10

N = $$2^{48} - 1$$ and N are exactly divisible by two numbers between 60 and 70. What is the sum of those two numbers?

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