SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 1 - SSC CGL MCQ

# SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 1 - SSC CGL MCQ

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## 20 Questions MCQ Test - SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 1

SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 1 for SSC CGL 2024 is part of SSC CGL preparation. The SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 1 questions and answers have been prepared according to the SSC CGL exam syllabus.The SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 1 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- 1 below.
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SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 1 - Question 1

### What is the value of: 2 of 3 ÷ 3 × 2 + {4 × 3 – (5 × 2 + 3)} = ?       (SSC MTS 2018)

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

2 of 3 ÷ 3 × 2 + {4 × 3 – (5 × 2 + 3)}
⇒ 2 × 1 × 2 + {12 – (13)}
⇒ 2 × 2 + {– 1}
⇒ 4 – 1
⇒ 3

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

### What is the value of: (9 ÷ 30)2 × 2.4 + 0.3 o f 12 × (1 – 0.3)2 + 9 × (0.3)2 = ?         (SSC MTS 2018)

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

(9 ÷ 30)2 × 2.4 + 0.3 of 12 × (1 – 0.3)2 + 9 × (0.3)2 = ?
⇒ (0.3)2 × 2.4 + 3.6 × (0.7)2 + 9 × (0.09)
⇒ (0.09) × 2.4 + 1.764 + 9 × (0.09)
⇒ 1.98 + 0.81
⇒ 2.79

SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 1 - Question 3

### The value of 15.2 + 5.8 ÷ 2.9 × 2 – 3.5 × 2 ÷ 0.5 is equal to:     (SSC CGL-2018)

Detailed Solution for SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 1 - Question 3

15.2 + 5.8 ÷ 2.9 x 2 - 3.5 x 2 ÷ 0.5
15.2 + 2 x 2 - 7 x 2
15.2 + 4 – 14 = 5.2

SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 1 - Question 4

The value of 4.5 – (3.2 ÷ 0.8 × 5) + 3 × 4 ÷ 6 is:       (SSC CGL-2018)

Detailed Solution for SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 1 - Question 4

4.5 – (3.2 ÷ 0.8 x 5) + (3 x 4 ÷ 6)
= 4.5 – (4 x 5) + 3 x (2/3)
= 4.5 – 20 + 2 = –13.5

SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 1 - Question 5

The simplified value of  is:        (SSC CHSL-2018)

Detailed Solution for SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 1 - Question 5

SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 1 - Question 6

The simplified value of  is :      (SSC CHSL-2018)

Detailed Solution for SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 1 - Question 6

SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 1 - Question 7

is equal To:        (SSC Sub. Ins. 2018 )

Detailed Solution for SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 1 - Question 7

SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 1 - Question 8

The value of  is:       (SSC Sub. Ins. 2018 )

Detailed Solution for SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 1 - Question 8

SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 1 - Question 9

is equal to:        (SSC Sub. Ins. 2018 )

Detailed Solution for SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 1 - Question 9

This is in the form of

Here a = 5.75, b = 3.25

= 9/100 = 0.09

SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 1 - Question 10

What is the simplified value of (2 + 1) (22 + 1) (24 + 1) (28 +1)?       (SSC Sub. Ins. 2017)

Detailed Solution for SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 1 - Question 10

According to question.
(2 + 1) (22 + 1) (24 + 1) (28 + 1) = ?
⇒ (2 + 1) (28 + 1) (22+ 1) (24 + 1)
⇒ (29 + 2 + 28 + 1) (26 + 22 + 24 + 1)
⇒ (215 + 214 + 213 + 212 + 211 + 210 + 29 + 28 + 27 + 26 + 25 + 24 + 23 + 22 + 2) + 1
Here, a = 2, n = 15 r = 2

⇒ (216 – 2)
∴(216 – 2) + 1 = (216 – 1)
∴ (2 + 1) (22 + 1) (24 + 1) (28 + 1) = (216 – 1)

SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 1 - Question 11

If N =  then what is the value of N+(1/N)?        (SSC Sub. Ins. 2017)

Detailed Solution for SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 1 - Question 11

Here,

Now,

SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 1 - Question 12

If 2x – 3(2x – 2) > x – 1 < 2 + 2x, then x can take which of the following values?        (SSC CHSL 2017)

Detailed Solution for SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 1 - Question 12

Here,
2x – 3 (2x – 2) > x – 1 < 2 + 2x
2x – 6x + 6 > x – 1
⇒ 2x – 6x – x > –7
⇒ –5x > –7
x < 7/5 ...(i)
(x – 1) < (2 + 2x)
x – 1 < 2 + 2x
– 3 < x ...(ii)
From (i) and (ii),
x = –2.

SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 1 - Question 13

The sum of two numbers is 15(1/3) and their difference is 4(2/3). The product of the numbers is        (SSC Sub Ins. 2016)

Detailed Solution for SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 1 - Question 13

Let the numbers are x and y.
According to question
x + y = 46/3 ...(i)
x – y = 14/3 ...(ii)

Product of number

SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 1 - Question 14

If  then the value of a + b + c       (SSC Sub Ins. 2016)

SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 1 - Question 15

If the numbers  are arranged in ascending order, then the right arrangement is  (SSC CGL 2016).

Detailed Solution for SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 1 - Question 15

L.C.M of Numbers of Powers = 12
"

SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 1 - Question 16

The value of  is :        (SSC CGL 2016)

Detailed Solution for SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 1 - Question 16

⇒ 2.3 + 0.3 = 2.6

SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 1 - Question 17

If 3/4 of a number is 7 more than 1/6 of the number,  then 5/3 ofthe number is :        (SSC CGL 2015)

Detailed Solution for SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 1 - Question 17

Let the number be x

∴ x = 12
Now, 5/3 of x = (5/3)x 12 = 20.

SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 1 - Question 18

If x =  then (x + 1) equals to       (SSC CGL 2nd Sit. 2015)

Detailed Solution for SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 1 - Question 18

SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 1 - Question 19

Choose the incorrect relation(s) from the following:        (SSC CGL 1st Sit. 2015)

Detailed Solution for SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 1 - Question 19

By squaring the given relations, we get (i) and (iii) are incorrect relations from the given statement.

SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 1 - Question 20

The value of  is      (SSC CGL 1st Sit. 2015)

Detailed Solution for SSC CGL Previous Year Questions: Simplification and Square & Cube Root- 1 - Question 20

⇒ 5

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