 # 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

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

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

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

Question 5

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

Question 6

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

Question 7

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

Question 8

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

Question 9

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

Question 10

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 11

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

Question 12

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 13

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 14

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 15

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

Question 16

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

Question 17

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

Question 18

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

Question 19

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 20

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 21

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

Question 22

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

Question 23

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 24

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

Question 25

39 is 5.2% of?

Question 26

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

Question 27

Reduce 2714/5074 to lowest terms.

Question 28

Reduce 2530/1430 to lowest terms.

Question 29

27 is 3.6% of?

Question 30

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

Question 31

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

Question 32

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

Question 33

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

Question 34

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 35

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

Question 36

26 is 0.4% of which number?

Question 37

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

Question 38

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

Question 39

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

Question 40

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

Question 41

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 42

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 43

Product of 6ab, 3b and 4a is

Question 44

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

Question 45

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 46

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 47

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

Question 48

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

Question 49

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

Question 50

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