# SSC CGL Tier-2-17-February-2018 Maths

Instructions

For the following questions answer them individually

Question 1

What is the unit digit of the sum of first 111 whole numbers?

Question 2

How many 100 digit positive number are there?

Question 3

What is the value of $$\frac{5.6 \times 0.36 + 0.42 \times 3.2}{0.8 \times 2.1}$$?

Question 4

What is the value of  $$\frac{(1.2)^3 + (0.8)^3 + (0.7)^3 - 2.016}{1.35[(1.2)^2 + (0.8)^2 + (0.7)^2 - 0.96 - 0.84 - 0.56]}$$ ?

Question 5

What is the unit digit of $$(217)^{413} \times (819)^{547} \times (414)^{624} \times (342)^{812}$$?

Question 6

What is the value of $$S = \frac{1}{1 \times 3 \times 5} + \frac{1}{1 \times 4} + \frac{1}{3 \times 5 \times 7} + \frac{1}{4 \times 7} + \frac{1}{5 \times 7 \times 9 } + \frac{1}{7 \times 10}+.....$$upto 20 terms, then what is the value of S?

Question 7

Which of the following is TRUE?
$$I. \frac{1}{\sqrt[3]{12}} > \frac{1}{\sqrt[4]{29}} > \frac{1}{\sqrt{5}}$$

$$II. \frac{1}{\sqrt[4]{29}} > \frac{1}{\sqrt[3]{12}} > \frac{1}{\sqrt{5}}$$

$$III. \frac{1}{\sqrt{5}} > \frac{1}{\sqrt[3]{12}} > \frac{1}{\sqrt[4]{29}}$$

$$IV. \frac{1}{\sqrt{5}} > \frac{1}{\sqrt[4]{29}} > \frac{1}{\sqrt[3]{12}}$$

Question 8

N is the largest two digit number, which when divided by 3, 4 and 6 leaves the remainder 1, 2 and 4 respectively. What is the remainder when N is divided by 5?

Question 9

Which of the following is TRUE?
$$I. \sqrt[3]{11} > \sqrt{7} > \sqrt[4]{45}$$

$$II. \sqrt{7} > \sqrt[3]{11} > \sqrt[4]{45}$$

$$III. \sqrt{7} > \sqrt[4]{45} > \sqrt[3]{11}$$

$$IV. \sqrt[4]{45} > \sqrt{7} > \sqrt[3]{11}$$

Question 10

A and B are positive integers. If $$A + B + AB = 65$$, then what is the difference between $$A$$ and $$B (A, B \leq 15)?$$

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