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

Question 2

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 3

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 4

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

Question 5

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

Question 6

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

Question 7

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

Question 8

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

Question 9

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

Question 10

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

Question 11

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

Question 12

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 13

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

Question 14

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

Question 15

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

Question 16

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

Question 17

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 18

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 19

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

Question 20

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

Question 21

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

Question 22

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

Question 23

27 is 3.6% of?

Question 24

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

Question 25

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

Question 26

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 27

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 28

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 29

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

Question 30

Reduce 2714/5074 to lowest terms.

Question 31

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

Question 32

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

Question 33

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

Question 34

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

Question 35

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 36

The Ô¨Ārst 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 37

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

Question 38

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

Question 39

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 40

Product of 6ab, 3b and 4a is

Question 41

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

Question 42

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

Question 43

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

Question 44

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 45

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

Question 46

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

Question 47

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

Question 48

39 is 5.2% of?

Question 49

Reduce 2530/1430 to lowest terms.

Question 50

26 is 0.4% of which number?

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