# 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

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

Question 3

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 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

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 6

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

Question 7

39 is 5.2% of?

Question 8

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

Question 9

Reduce 2714/5074 to lowest terms.

Question 10

Reduce 2530/1430 to lowest terms.

Question 11

27 is 3.6% of?

Question 12

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

Question 13

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

Question 14

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

Question 15

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

Question 16

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

Question 17

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

Question 18

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

Question 19

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 20

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

Question 21

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

Question 22

26 is 0.4% of which number?

Question 23

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

Question 24

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

Question 25

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

Question 26

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

Question 27

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 28

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

Question 29

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

Question 30

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

Question 31

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 32

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 33

Product of 6ab, 3b and 4a is

Question 34

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

Question 35

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 36

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

Question 37

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

Question 38

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

Question 39

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

Question 40

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

Question 41

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 42

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 43

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 44

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 45

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

Question 46

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

Question 47

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

Question 48

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

Question 49

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

Question 50

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 ?