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# Arithmetic Questions for RRB Group-D PDF

Download Top 15 RRB Group-D Arithmetic Questions and Answers PDF. RRB Group-D Arithmetic questions based on asked questions in previous exam papers very important for the Railway Group-D exam.

Question 1: What is the value closest to $\sqrt{2028}$ – $\sqrt{1152}$?

a) 8

b) 9

c) 10

d) 11

Question 2: What is the square root of 156.25

a) 13.5

b) 15.25

c) 10.5

d) 12.5

Question 3: If $Y – \sqrt{Y} = 30$, what is the value of $Y$?

a) 25

b) 36

c) Any of the above two options

d) Can’t be determined

Question 4: What is the value of $21^3 – 19^3$

a) 2602

b) 2202

c) 2204

d) 2402

Question 5: $\sqrt{0.01+\sqrt{0.0967+0.0258}}$ = ?

a) 0.6

b) 0.5

c) 0.4

d) 0.3

Question 6: When polynomial $x^{4}-3x^{2}+2x+5$ is divided by (x-1), the remainder is

a) 2

b) 3

c) 4

d) 5

Question 7: Evaluate :- $(-216 \times 1728)^{\frac{1}{3}}$

a) -72

b) 27

c) 72

d) -27

Question 8: What is the average of 56, 45, 47, 61, 49, 54 and 52

a) 52

b) 54

c) 49.12

d) 63

Question 9: 45/13 * (19 + 7) + 5 = ?

a) 95

b) 105

c) 100

d) 87.5

Question 10: If the function $x^3-3x^2+2x-a$ is divisible by (x-2), then find the value of “a”.

a) 0

b) 1

c) 2

d) -1

Question 11: If the number 2a3 is divisible by 11, then find the value of “a”?

a) 3

b) 4

c) 5

d) 6

Question 12: 4.23232323… = ?

a) 422/99

b) 440/9

c) 419/99

d) 415/99

Question 13: IF 5=10,6=18,7=35,8=56,10=?

a) 100

b) 130

c) 120

d) 110

Question 14: By interchanging which two signs the equation will be correct?
19 + 36 x 12 ÷ 4 – 26 = 5

a) + and –

b) x and ÷

c) ÷ and –

d) + and x

Question 15: The following equation is incorrect. Which two signs should be interchanged to correct the equation?

$15 \times 12 + 40 \div 40 – 6 = 21$

a) + and x

b) + and ÷

c) – and +

d) ÷ and x

The value of $\sqrt{2025}$ = 45
The value of $\sqrt{1152}$ = 34
So, the value closest to $\sqrt{2028}$ – $\sqrt{1152}$ = 11

$15625 = 5*3125 = 25*625 = 25^3 = 5^6$
Hence, $\sqrt{15625} = 5^3 = 125$
Therefore, $\sqrt{156.25} = 12.5$

Let the value of $\sqrt{Y} = p$. Note that $p$ is positive.
Therefore, $p^2 – p = 30$
Or, $p^2 – p – 30 = 0$
Therefore, $p^2 – 6p + 5p – 30 = 0$
Therfore, $(p-6)(p+5)=0$
Hence, $p=6$ or $p=-5$
But as $p$ is positive, it implies that $p=6$ and $Y=p^2=36$

We know that $a^3 – b^3 = (a-b) \times (a^2 + ab + b^2) = (a-b) \times ((a+b)^2 – ab)$
In this case, $21^3 – 19^3 = (21 – 19) \times (21^2 + 21 \times 19 + 19^2)$
Which equals $2 \times ((21+19)^2 – 21\times 19)$
This equals $2 \times (40^2 – 399) = 2 \times (1600-399) = 2 \times 1201 = 2402$

$\sqrt{0.01+\sqrt{0.0967+0.0258}}$ = $\sqrt{0.01+\sqrt{0.1225}}$ = $\sqrt{0.01+0.35}$ = $\sqrt{0.36}$ = $0.6$

So the answer is option A.

$f(x)=x^{4}-3x^{3}+2x +5$

to find the remainder put x=1 in $f(x)$

$f(1)$=1-3+2+5=5

∴5 is the remainder

$(-216 \times 1728)^{\frac{1}{3}}$

=$(-6^{3} \times 12^{3})^{\frac{1}{3}}$

=-72

We see that the numbers are distributed around 50.
So we find the differences around 50
Estimated mean= 50
Sum = +6-5-3+11-1+4+2 =14
n=7

Actual mean = 50 + 14/7 = 52.

As per BODMAS rule, we would add the contents of the brackets first.
=> 45/13 *26 + 5
26 = 13 * 2
=> 45 * 2 + 5
=> 90 + 5
=> 95

f(x) = $x^3-3x^2+2x-a$. f(2) = 0
$2^3-(3*2*2)+(2*2)-a = 0$
$8-12+4-a = 0$
a = 0

Since 2a3 is divisible by 11, therefore (2+3-a) should be divisible by 11.
5-a = 0 or divisible by 11
a = 5.

x = 4.232323….
100x = 423.23232323….
100x-x = 423.2323…-4.2323… = 419
x = 419/99

In this sequence each number is multiplied by a prime number 5*2=10,6*3=18,7*5=35,8*7=56,9*11=99,10*13=130.

Expression : 19 + 36 x 12 ÷ 4 – 26 = 5

(A) : + and –

$\equiv19-36\times12\div4+26=5$

L.H.S. = $19-(36\times3)+26=19-108+26=-63\neq$ R.H.S.

(B) : x and ÷

$\equiv19+36\div12\times4-26=5$

L.H.S. = $19+(3\times4)-26=19+12-26=5=$ R.H.S.

=> Ans – (B)

Expression : $15 \times 12 + 40 \div 40 – 6 = 21$

(A) : + and x

$\equiv15+ 12 \times 40 \div 40 – 6 = 21$

L.H.S. = $15+(12\times\frac{40}{40})-6$

= $15+12-6=21=$ R.H.S.

=> Ans – (A)

We hope this Arithmetic Questions for RRB Group-D Exam will be highly useful for your preparation.