SSC CGL Tier-2 20-February-2018 Maths

Instructions

For the following questions answer them individually

Question 1

Which of the following statement(s) is/are TRUE?
$$I. 33^3 > 3^{33}$$
$$II. 333 > (3^3)^3$$

Video Solution
Question 2

If $$P = 2^2 + 6^2 + 10^2 + 14^2 + … 94^2$$ and $$Q = 1^2 + 5^2 + 9^2 + … 81^2$$, then what is the value of $$P - Q$$?

Video Solution
Question 3

If $$A = \left(\frac{1}{0.4}\right) + \left(\frac{1}{0.04}\right) + \left(\frac{1}{0.004}\right) + …$$ upto 8 terms, then what is the value of $$A$$?

Video Solution
Question 4

If $$M = 0.1 + (0.1)^2 + (0.01)^2$$ and $$N = 0.3 + (0.03)^2 + (0.003)^2$$, then what is the value of $$M + N$$?

Video Solution
Question 5

If $$P = \frac{96}{95 \times 97}, Q = \frac{97}{96 \times 98}$$ and $$R = \frac{1}{97}$$, then which of the following is TRUE?

Video Solution
Question 6

Which of the following statement(s) is/are TRUE?

I. $$11\frac{1}{2} + 17 \frac{3}{4} - 5\frac{1}{5} - 2\frac{1}{10} = \frac{439}{20}$$

II. $$\frac{9}{1078} > \frac{11}{1127}>\frac{12}{1219}$$

III. $$\frac{149}{151} > \frac{153}{155}>\frac{157}{159}$$

Video Solution
Question 7

Which of the following statement(s) is/are TRUE?

I. $$\frac{2}{3\sqrt{3}} < \frac{3}{2\sqrt{5}} < \frac{5}{4\sqrt{3}}$$

II. $$\frac{3}{2\sqrt{5}} < \frac{2}{3\sqrt{3}} < \frac{7}{4\sqrt{5}}$$

Video Solution
Question 8

Which of the following statement(s) is/are TRUE?
I. The total number of positive factors of 72 is 12.
II. The sum of first 20 odd numbers is 400.
III. Largest two digit prime number is 97.

Video Solution
Question 9

If $$M = \left(\frac{3}{7}\right) \div \left(\frac{6}{5}\right) \times \left(\frac{2}{3}\right) + \left(\frac{1}{5}\right) \times \left(\frac{3}{2}\right)$$ and $$N = \left(\frac{2}{5}\right) \times \left(\frac{5}{6}\right) \div \left(\frac{1}{3}\right) + \left(\frac{3}{5}\right) \times \left(\frac{2}{3}\right) \div \left(\frac{3}{5}\right)$$, then what is the value of $$\frac{M}{N}$$?

Video Solution
Question 10

M is the largest 4 digit number, which when divided by 4, 5, 6 and 7 leaves remainder as 2, 3, 4, and 5 respectively. What will be the remainder when M is divided by 9?

Video Solution
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