Simplification Test

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Simplification Test - 7

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Weekly Quiz Competition

Question 1
2 / -0.83

√8 - √4 - √2 = ?

A
2 - √2

B
√2 - 2

C
2

D
-2

E
None of these

Solution

√8-√4-√2=√2 ×4-√4-√2 =√4-√2=√2-2 ans
Question 2
2 / -0.83

A
67

B
56

C
77

D
46

E
88

Solution

5.5 x 6.4 / 0.4 = 35.2 / 0.4 = 88
Question 3
2 / -0.83

(764 x ?) ÷250 = 382

A
135

B
125

C
115

D
145

E
None of these

Solution

Solution:

Given equation:

(764 x ?) ÷250 = 382

Solving for ?:

(764 x ?) = 382 x 250

? = (382 x 250) / 764

? = 125

Therefore, the value of ? is 125.

So, the correct answer is B: 125 .
Question 4
2 / -0.83

6156 / √? x 53 = 4028

A
6241

B
6889

C
6561

D
5929

E
None of thes

Solution

C is the correct option. Solution-
4028 ÷53=76
6156 ÷76=81
So the value needed is a square of 81 which is 6561.
Question 5
2 / -0.83

[(7 x 9) + (2 x 12) + 3] / [(12 x 3) + (81/9)] = ?

A
4

B
60

C
1.75

D
4.5

E
None of these

Solution

[(7 x 9) + (2 x 12) + 3] / [(12 x 3) + (81 / 9)]
= (63 + 24 + 3) / (36 + 9)
= 90/45
= 2
Question 6
2 / -0.83

(169 –144)^½ ÷(64 + 36)^½ = ?

A
0.5

B
0.25

C
2.5

D
5

E
None of these

Solution

To solve the given expression:

1. Calculate the values inside the parentheses first: √(169 - 144 = 25) and √(64 + 36 = 100).
2. Now simplify the expression further: √25/√100 .
3. Calculate the square roots: 5/10
4. Finally, divide the two results: 0.5

Therefore, the correct answer is A: 0.5.
Question 7
2 / -0.83

–224 + (–314) x (–9) = ?

A
2602

B
547

C
–547

D
–2602

E
None of these

Solution

Option (a) 2602 is correct.

Explanation:-

{ Given, -224 + ( - 314) * (-9)

According to BODMASS ;

=> -224 +(-314 * -9)

=> -224 + 2826
=> 2602
Question 8
2 / -0.83

(?)²/ 4 + √1521 = 1063

A
62

B
58

C
68

D
66

E
None of these
Solution
Solution for ( ? )²/ 4 + √1521 = 1063

To solve ( ? )²/ 4 + √1521 = 1063, follow these steps:

Calculate the square root of 1521:
√1521 = 39

Substitute into the equation and simplify:
( ? )²/ 4 + 39 = 1063
( ? )²/ 4 = 1063 - 39 = 1024

Multiply by 4:
( ? )²= 1024 ×4 = 4096

Take the square root:
? = √4096 = 64

Correct Answer: E: None of these
Question 9
2 / -0.83

4/7 x 2/3 x ? = 1008

A
8812

B
2218

C
4412

D
2624

E
2646

Solution

8/21 * x = 1008

x = 21168 / 8

x = 2646
Question 10
2 / -0.83

Find the value of 22 ×(63 ÷7)÷6-{7 ×5+4-(3-5)÷2}

A
-7

B
8

C
11

D
-13

Solution

Given:

Expression: 22 ×(63 ÷7) ÷6 - { 7 ×5 + 4 - (3 - 5) ÷2 }

Formula Used:

Order of Operations (BODMAS/BIDMAS): Brackets, Orders (i.e., powers and square roots, etc.), Division and Multiplication, Addition and Subtraction

Calculation:

Simplify inside the brackets first:
22 ×(63 ÷7) ÷6 - { 7 ×5 + 4 - (3 - 5) ÷2 }
= 22 ×(63 ÷7) ÷6 - { 7 ×5 + 4 - (-2) ÷2 }
= 22 ×(63 ÷7) ÷6 - { 35 + 4 + 1 }
= 22 ×(63 ÷7) ÷6 - { 40 }

Now simplify the division and multiplication outside the brackets:
22 ×9 ÷6 - 40
= 198 ÷6 - 40
= 33 - 40

Finally, perform the subtraction:
= -7

The correct answer is option 1.

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Re-Attempt Weekly Quiz Competition

Simplification Test - 7

Result

Simplification Test - 7

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SHARING IS CARING

Question 1

2 - √2

√2 - 2

2

-2

None of these

Solution

Question 2

67

56

77

46

88

Solution

Question 3

135

125

115

145

None of these

Solution

Question 4

6241

6889

6561

5929

None of thes

Solution

Question 5

4

60

1.75

4.5

None of these

Solution

Question 6

0.5

0.25

2.5

5

None of these

Solution

Question 7

2602

547

–547

–2602

None of these

Solution

Question 8

62

58

68

66

None of these

Solution

Question 9

8812

2218

4412

2624

2646

Solution

Question 10

-7

8

11

-13

Solution

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Question Analysis

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