Simplification Test

Result

Simplification Test - 6

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Question 1
2 / -0.83

7.8 + 5.4 x 8.2 = ?

A
52.08

B
108.24

C
48.05

D
102.05

E
None of these
Solution
Solution for 7.8 + 5.4 ×8.2
We solve using the order of operations (BODMAS):
First, perform the multiplication:
5.4 ×8.2 = 44.28
Next, add the result to 7.8:
7.8 + 44.28 = 52.08
Correct Answer: A: 52.08
Question 2
2 / -0.83

8% of 800 x ? = 224

A
4.5

B
3.5

C
4

D
3

E
None of these
Solution
First, calculate 8% of 800: 8/100 * 800 = 64.
Now, the equation is 64 * ? = 224.
To solve for ?, divide both sides by 64: ? = 224 / 64.
This simplifies to ? = 3.5.
So, the correct answer is 3.5, which corresponds to option 2.
Question 3
2 / -0.83

∛185193 = ?

A
51

B
59

C
57

D
53

E
None of these
Solution
Solution for ∛185193
To solve ∛185193, we find the cube root:
The cube root of 185193 is 57, since 57 ³= 185193.
Correct Answer: C: 57
Question 4
2 / -0.83

What will come in the place of question mark (?) in the following question?
=

A
3

B
7

C
6

D
9

E
11

Solution

Correct option is D. 9
Question 5
2 / -0.83

√7921 x √? = 6942

A
6410

B
2959

C
6084

D
5776

E
None of these

Solution

Solution to the Equation: √7921 ×√? = 6942
Step 1: Simplify √7921
√7921 = 89
Step 2: Substitute into the equation
89 ×√? = 6942
Step 3: Solve for √?
√? = 6942 ÷89 = 78
Step 4: Square both sides to find ?
? = 78 ²= 6084
Question 6
2 / -0.83

856 x 567 = ?

A
487064

B
484218

C
482784

D
485352

E
None of these

Solution

- Step 1: Multiply 856 by 500
    856 × 500 = 428,000
- Step 2: Multiply 856 by 60
    856 × 60 = 51,360
- Step 3: Multiply 856 by 7
    856 × 7 = 5,992
- Total: Add all results
    428,000 + 51,360 + 5,992 = 485,352

Therefore, the correct answer is option d: 485352.
Question 7
2 / -0.83

(?)³ x (5⁵ ) ÷225 = 3000

A
6

B
8

C
5

D
9

E
None of these
Solution
To solve (?)³×(5 ⁵) ÷225 = 3000, follow these steps:
Rearrange the equation:
(?)³= (3000 ×225) ÷5 ⁵
Calculate 5 ⁵:
5 ⁵= 3125
Simplify the numerator:
3000 ×225 = 675000
Divide:
675000 ÷3125 = 216
Find the cube root of 216:
√³(216) = 6
Correct Answer: A: 6
Question 8
2 / -0.83

A
2 - √3

B
2 + √3

C
16 - √3

D
None of these

E
14 - √3

Solution
Question 9
2 / -0.83

A
6^2/3

B
6

C
3^1/3

D
3

E
None of these

Solution
Question 10
2 / -0.83

8^2/3 is equal to

A

B

C
4

D

E
None of these
Solution
To solve 8^2/3 , follow these steps:
Interpret the fractional exponent:
8^2/3 = (∛8)²
Find the cube root of 8:
∛8 = 2
Square the result:
2 ²= 4
Correct Answer: C: 4