Explanation

3 + 5 = 8

3 + 4 = 7

2 + 4 = 6

1 + 8 = 9

Explanation

If each side of the cube is doubled in length, the new side length will be twice the original side length. Since the volume of a cube is proportional to the cube of the side length, the new volume will be:

New volume = (2 × original side length)^3

Since the original volume is 8 cubic meters, we can find the original side length by taking the cube root of 8:

Original side length = ∛8 = 2 meters

Now, we can find the new volume:

New volume = (2 × 2)^3 = (4)^3 = 64 cubic meters

So, the correct answer is: 64

Explanation

If the final answer is 7, and Akram divided by 4 to get that answer, then the number before division was:

7 x 4 = 28

If Akram took away 5 to get 28, then the number before that was:

28 + 5 = 33

If Akram multiplied by 3 to get 33, then the number before that was:

33 ÷ 3 = 11

And if Akram added 7 to get 11, then the starting number was:

11 - 7 = 4

So, the starting number is 4!

Explanation

S.P. = Rs. 475, Loss = 5%

C.P. = 100/100 - 5   x  475  = Rs. 500

In the second case, gain = 5%

S.P. = 100 + 5/100  x  500 = 525

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Explanation

Given:

The wages of 6 men for 15 days be Rs. 2100

Calculation:

As the wages of 6 men for 15 days be Rs. 2100

The wages of 1 man for 15 days = Rs. 2100/6 = Rs. 350

And, the wages of 1 man for 1 day = Rs.350/15

Now, the wages of 9 men for 12 days = (Rs.350/15) × 9 × 12 = Rs.2520

∴ The wages of 9 men for 12 days is Rs.2520.

Explanation

Number of heads = 48

Number of feet = 140

Calculation:

Let the number of hens is x and the number of cows is y. Therefore,

x + y = 48           ----(1)

According to the question,

2x + 4y = 140

⇒ x + 2y = 70     ----(2)

Subtracting (1) from (2), we get

y = 22

Put this value in equation (1)

⇒ x = 48 - 22 = 26

No.of hens =26
No. of cows =22.

Explanation

Given ratio: 35 : 84

Step 1: Find the GCD (Greatest Common Divisor) of 35 and 84  

GCD of 35 and 84 is 7

Step 2: Divide both terms by 7  

35 ÷ 7 = 5  

84 ÷ 7 = 12

Simplest form: 5 : 12

Explanation

The pattern in the series is adding 3 to each number to get the next number, so:

• 2 + 3 = 5
• 5 + 3 = 8
• 8 + 3 = 11
• 11 + 3 = 14
• 14 + 3 = 17

So, the correct answer is: 17

Explanation

To divide 0.213 by 0.00213, we can use a calculator or perform the calculation manually:

0.213 ÷ 0.00213 = 100

So, the correct answer is: 100

Explanation

2 * 2 = 4

3 * 3 = 9

4 * 4 = 16

5 * 5 = 25

6 * 6 = 36

Therefore, the series is 2, 4, 3, 9, 4, 16, 5, 25,36.