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SSC CGL Exam  >  SSC CGL Tests  >  SSC CGL Mathematics Previous Year Paper (Topic-wise)  >  SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - SSC CGL MCQ

SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - SSC CGL MCQ


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30 Questions MCQ Test SSC CGL Mathematics Previous Year Paper (Topic-wise) - SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2

SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 for SSC CGL 2024 is part of SSC CGL Mathematics Previous Year Paper (Topic-wise) preparation. The SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 questions and answers have been prepared according to the SSC CGL exam syllabus.The SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 MCQs are made for SSC CGL 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 below.
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SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - Question 1
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The sum of four numbers is 48. When 5 and 1 are added to the first two; and 3 & 7 are subtracted from the 3rd & 4th, the numbers will be equal. The numbers are        (SSC CGL 1st Sit. 2015)

Detailed Solution for SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - Question 1

Let four numbers are a, b, c, d, then
a + b + c + d = 48 ...(i)
and a + 5 = b + 1 ...(ii)
or, a = b – 4 ...(iii)
and c – 3 = d – 7 ...(iv)
c = d – 4 ...(v)
Substituting equation (iii) and (v) in equation (i) we get
b – 4 + b + d – 4 + d = 48
b + d = 28 ...(vi)
But we know,
b + 1 = d – 7
∴ b = d – 8
Substituting in equation (vi) we get
d – 8 + d = 28
d = 18
Solving this way we get a = 6, b = 10, c = 14 and d = 18

SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - Question 2
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In an exam the sum  of the scores of A and B is 120, that of B and C is 130 and that of C and A is 140. Then the score of C is:       (SSC CHSL 2015)

Detailed Solution for SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - Question 2

A + B = 120 … (i)
B + C = 130 … (ii)
C + A = 140 …(iii)
Adding all three equations
2A + 2B + 2C = 390
A + B + C = 195
But, A + B = 120
So, C = 195 – 120 = 75

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SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - Question 3
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The simplified value of following is:
       (SSC CHSL 2015)

Detailed Solution for SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - Question 3

SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - Question 4
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If 32x -y = 3x +y = √27, then the value of  3x -y will be :        (SSC Sub. Ins. 2015)
Detailed Solution for SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - Question 4


4x – 2y = 3 ...(i)
2x + 2y = 3 ...(ii)
Solving equation (i) and (ii)

SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - Question 5
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        (SSC Sub. Ins. 2015)
Detailed Solution for SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - Question 5


SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - Question 6
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The simplified value of  is:       (SSC Sub. Ins. 2015)
Detailed Solution for SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - Question 6

0.0539 – 0.002 = 0.0519
0.56 × 0.07 = 0.0392
0.0519 × 0.4 = 0.02076
0.04 × 0.25 = 0.01
So 

SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - Question 7
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2km 5m is equal to:       (SSC Sub. Ins. 2015)
Detailed Solution for SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - Question 7

2km 5m = 2 + (5/100) = 2.005 km

SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - Question 8
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Arrange the following in ascending order 334, 251, 717, we get        (SSC CGL 1st Sit. 2014)
Detailed Solution for SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - Question 8

334 = (32)17 = 917
251 = (23)17 = 817
717 > 817 > 917
or 717 > 251 > 334

SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - Question 9
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Which one of the following is true?       (SSC CHSL 2014)
Detailed Solution for SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - Question 9


Squaring both sides

 which is true.

SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - Question 10
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Ram left 1/3 of his property  to his widow and 3/5 of theremainder to his daughter. He gave the rest to his son who received ₹ 6,400. How much was his original property worth?       (SSC CHSL 2014)
Detailed Solution for SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - Question 10

Let original property worth ₹ x
Property left for Ram’s widow = x/3
Property left for his daughter = 
Remaining property = 

SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - Question 11
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The simplified value of  is        (SSC Sub. Ins. 2014)
Detailed Solution for SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - Question 11

SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - Question 12
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The next term of the sequence,  is         (SSC Sub. Ins. 2014)
Detailed Solution for SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - Question 12

Next term will be

SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - Question 13
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If '+' means ' ÷ ', '×' means '–', ' ÷ ' means '×' and '–' means '+', what will be the value of the following expression?
9 + 3 ÷ 4 – 8 × 2 = ?          (SSC Sub. Ins. 2014)
Detailed Solution for SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - Question 13

9 + 3 ÷ 4 – 8 × 2 = ?
Applying rules
9 ÷ 3 × 4 + 8 – 2 = ?
3 × 4 + 8 – 2 = ?
20 – 2 = ?
? = 18

SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - Question 14
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The value of  is          (SSC Sub. Ins. 2014)
Detailed Solution for SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - Question 14

SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - Question 15
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Evaluate         (SSC Sub. Ins. 2014)
Detailed Solution for SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - Question 15

SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - Question 16
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If (23)2 = 4x then 3x is equal to        (SSC CGL 2nd Sit. 2013)
Detailed Solution for SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - Question 16

(23)2 = 4x
26 = 22x
6 = 2x
x = 3
33 = 27

SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - Question 17
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Which one of the following is the minimum value of the sum of two integers whose product is 24?       (SSC CGL 2nd Sit. 2013)
Detailed Solution for SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - Question 17

Product of 2 no is = 24
Possible pair of factor = (1, 24) (2, 12) (3, 8) (4, 6) i,e., 4 + 6 is minimum = 10

SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - Question 18
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The value of  is        (SSC CGL 2nd Sit. 2013)
Detailed Solution for SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - Question 18

Expression = 
Rationalising the denominator.

SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - Question 19
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The greatest 4 digit member which is a perfect square, is         (SSC CGL 2nd Sit. 2013)
Detailed Solution for SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - Question 19

99 × 99 = 9801
"Alternate Method:
1002 = 10000 which is a 5 digits number
Hence, 992 is required number."

SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - Question 20
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The fourth root of 24010000 is       (SSC CGL 2nd Sit. 2013)
Detailed Solution for SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - Question 20

SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - Question 21
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The smallest positive integer which when multiplied by 392, gives a perfect square is       (SSC CGL 2nd Sit. 2013)
Detailed Solution for SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - Question 21

392 × 2 = 784 ⇒ (28)2
Hence, 2 can be multiplied by 392 which gives perfect square.

SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - Question 22
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If a = 2, b = 3, then (ab + ba)–1 is       (SSC CGL 2nd Sit. 2013)
Detailed Solution for SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - Question 22

(ab + ba)–1 = (23 + 32)–1 = (8 + 9)–1 = (17)–1 = 1/17

SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - Question 23
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If x2 = y + z, y2 = z + x and z2 = x + y, then the value of  is        (SSC CGL 2013)
Detailed Solution for SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - Question 23

x2 = y + z
⇒ x2 + x = x + y + z
⇒ x (x + 1) = x + y + z


Similarly, 


SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - Question 24
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The numerator of a fraction is 4 less than its denominator. If the numerator is decreased by 2 and the denominator is increased by 1, then the denominator becomes eight times the numerator. Find the fraction.         (SSC CGL 2013)
Detailed Solution for SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - Question 24

Original fraction = 
In case II,
8 (x – 4 – 2) = x + 1
⇒ 8x – 48 = x + 1
⇒ 7x = 49 ⇒ x = 7
Original fraction = 

SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - Question 25
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Find the simplest value of  (given √2 = 1.414 ).        (SSC CGL 2013)
Detailed Solution for SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - Question 25

Expression

SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - Question 26
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A rational number between 3/4 and 3/8 is        (SSC CGL 2013)
Detailed Solution for SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - Question 26




∴ Required rational number = 9/16.

SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - Question 27
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Number of digits in the square root of 62478076 is :       (SSC CGL 2013)
Detailed Solution for SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - Question 27

When no. of digit in a no. is 7 or 8 then in square root will be 4.

SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - Question 28
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If  then x is :        (SSC CGL 1st Sit. 2013)
Detailed Solution for SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - Question 28


SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - Question 29
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If a number is as much greater than 31 as it is less than 75, then the number is.         (SSC CHSL 2013)
Detailed Solution for SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - Question 29

x – 31 = 75 – x
2x = 106
x = 53

SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - Question 30
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Find the value of       (SSC CHSL 2013)
Detailed Solution for SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 2 - Question 30


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