SSC Arithmetic Questions with Answers

Arithmetic

An excellent collection of SSC Arithmetic questions and answers with detailed explanations for competitive exams. Given below are some of the most repeated practice questions on Arithmetic for SSC CGL, CHSL, JE, GD constable, Stenographer, MTS, and CPO exams. Go through this very important online quiz based on model and previous year asked questions from SSC Arithmetic with solutions to ace the exam.

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Instructions

For the following questions answer them individually

Question 1

If X = 0.3 $$\times$$ 0.3, the value of X is

Question 2

An equation of the form ax + by + c = 0. Where, a ≠ 0, b ≠ 0 and c = 0 represents a straight line which passes through

Question 3

In an arithmetic progression, if 9 is the 5th term, -26 is the 12th term, then -6 is which term?

Question 4

The fifth term of the sequence for which $$t_{1}=1$$, $$t_{2}=2$$ and $$t_{n+2}$$ = $$t_{n}+t_{n+1}$$, is

Question 5

Which of the following relation is CORRECT?
I. $$(\sqrt{15}+\sqrt{7})<(2\sqrt{22})$$
II. $$(\sqrt{17}+\sqrt{5})<(\sqrt{20}+\sqrt{2})$$

Question 6

If $$x=\frac{\sqrt{5}+1}{\sqrt{5}-1}$$ and $$y=\frac{\sqrt{5}-1}{\sqrt{5}+1}$$, then what is the value of x-y ?

Question 7

If $$z=6-2\sqrt3$$, then find the value of $$(\sqrt{z}-\frac{1}{\sqrt{z}})^2$$

Question 8

Arrange the following in descending order.
$$\sqrt[4]{5},\sqrt[3]{4}$$ and $$\sqrt[4]{6}$$

Question 9

In an arithmetic progression, if 17 is the 3rd term, -25 is the 17th term, then -1 is which term?

Question 10

The first and last terms of an arithmetic progression are 37 and ­-18. If the sum of the series is 114, then it has how many terms?

Question 11

What is the value of (81 + 82 + 83 + ……… +130)?

Question 12

39 is 5.2% of?

Question 13

If 9/4th of 7/2 of a number is 126, then 7/2th of that number is ..............

Question 14

Reduce 2714/5074 to lowest terms.

Question 15

Reduce 2530/1430 to lowest terms.

Question 16

27 is 3.6% of?

Question 17

Determine the value of m for which $$4x+\frac{\sqrt{x}}{6}+\frac{m^2}{4}$$ is a perfect square.

Question 18

What is the simplified value of $$2\sqrt[3]{243}+3\sqrt[3]{9}-\sqrt[3]{1125}$$ ?

Question 19

What is the value of $$\sqrt[3]{512}+\sqrt{169}+\sqrt[3]{216}+\sqrt{225}$$ ?

Question 20

What is the positive square root of $$[25+4\sqrt{39}]$$ ?

Question 21

What is the value of $$[(\sqrt{529})+(\sqrt{5.29})+(\sqrt{0.0529})]$$ ?

Question 22

If X=1.1, then what is the value of $$\sqrt{4x^2-4x+1}$$ ?

Question 23

Calculate the value of x, If $$\sqrt{1-(\frac{x}{529}})=(\frac{16}{23})$$

Question 24

The first and last terms of an arithmetic progression are 33 and -57. What is the sum of the series if it has 16 terms?

Question 25

If $$p+\frac{1}{p}=\sqrt{10}$$, then find the value of $$p^4+\frac{1}{p^4}$$

Question 26

If 4/5th of 6/7th of a number is 216, then 8/9th of that number will be

Question 27

26 is 0.4% of which number?

Question 28

If (5/9 of x) ­- (2/5 of 9/4) equals -4/5 then find x.

Question 29

The 4th term of an arithmetic progression is 15, 15th term is -29, find the 10th term?

Question 30

If 7/8th of 5/4th of a number is 315, then 5/9th of that number is _____ .

Question 31

If $$\sqrt{21}=4.58$$, then what is the simplified value of $$(8\sqrt{\frac{3}{7}}-3\sqrt{\frac{7}{3}})$$ ?

Question 32

If $$x=\sqrt{15\sqrt{15\sqrt{15\sqrt{15\sqrt{15....\infty}}}}}$$ and x>0, then find the value of $$x^2+4$$

Question 33

If $$4^x= \sqrt[7]{1024}$$, then what is the value of X ?

Question 34

If $$x = 4 + \sqrt{15}$$, then what is the value of $$[x^2 + (\frac{1}{x^2})]$$ ?

Question 35

The first and last terms of an arithmetic progression are 29 and -49. If the sum of the series is -140, then it has how many terms?

Question 36

The first and last terms of an arithmetic progression are -32 and ­43. If the sum of the series is ­88, then it has how many terms?

Question 37

Product of 6ab, 3b and 4a is

Question 38

4*(-0.1(5.5 + 8.5)) of 0.5 = ?

Question 39

The first and last terms of an arithmetic progression are -23 and ­42. What is the sum of the series if it has 14 terms?

Question 40

Find the value of p, if 2x - 4, 4x + p and 6x - 12 are in arithmetic progression.

Question 41

Find the value of p if -3x - 11, x + p and 5x + 7 are in arithmetic progression.

Question 42

In an arithmetic progression if 13 is the 3rd term, ­47 is the 13th term, then ­30 is which term?

Question 43

If a - b = -6 and $$a^2 + b^2$$  = 44, then ab is

Question 44

What is value of $$(6x^2 - 5y^2)(6x^2 + 5y^2)$$, If $$x=\frac{1}{\sqrt{3}}$$ and $$y=\frac{1}{\sqrt{5}}$$ ?

Question 45

What is the simplified value of $$\frac{\sqrt{5}+\sqrt{4}}{\sqrt{5}-\sqrt{4}}+\frac{\sqrt{5}-\sqrt{4}}{\sqrt{5}+\sqrt{4}}$$ ?

Question 46

Which of the following statement (s) is / are TRUE ?
I. $$\sqrt{676}+\sqrt{6.76}+\sqrt{0.0676}=27.76$$

II. $$\sqrt{339+\sqrt{36}+\sqrt{49}+\sqrt{81}}=19$$

Question 47

What is the value of $$(cosec 60^\circ - \frac{1}{2})$$

Question 48

What is the value of $$(\frac{1}{\sqrt3} - sin 45^\circ)$$ ?

Question 49

If $$p=\sqrt{72-\sqrt{72-\sqrt{72-\sqrt{72-......\infty}}}}$$, then find the value of $$2p^2+1$$.

Question 50

Calculate the value of $$\frac{\sqrt{5}}{(5-\sqrt5)}$$, if $$\sqrt5=2.236$$

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