Explanation

Average of a , b = ( a + b ) /2

16a + 16b = 48

a + b = 3  || divide each term by 16

The average is ( a + b ) / 2 = 3/2

= 1.5

Explanation

Let's add the numbers:

4 + 4.44 = 8.44

8.44 + 44.4 = 52.84

52.84 + 4.04 = 56.88

56.88 + 444 = 500.88

So, the correct answer is: 500.88

Explanation

Let's break this down step by step:

1. Let Ali's current age be A and Zia's current age be Z.
2. Since Ali is younger than Zia by 10 years, we can write an equation: A = Z - 10
3. We know that 5 years back, their ages were in the ratio 1:2. So, we can set up another equation based on their ages 5 years back: (A-5)/(Z-5) = 1/2
4. Cross-multiply and simplify the equation: 2A - 10 = Z - 5
5. Substitute the expression for A from step 2 into the equation in step 4: 2(Z-10) - 10 = Z - 5
6. Simplify and solve for Z: 2Z - 20 - 10 = Z - 5 --> Z = 25

So, Zia is currently 25 years old.

Explanation

Sum of m numbers = mn^2

Sum of n numbers = nm^2

∴ Average of (m + n) numbers

= mn(m+n)/(m+n)

= mn

Explanation

To find the fourth proportional, we need to set up a proportion:

60 : 48 :: 30 : x

Where x is the fourth proportional.

We can rewrite this as: 60/48 = 30/x

Cross-multiplying, we get: 60x = 30 × 48

Simplifying, we get: 60x = 1440

Dividing both sides by 60, we get: x = 24

So, the fourth proportional is 24.

Explanation

Required capacity = HCF of 120 litres and 56 litres

= 8 litres = 8000 cc [∴ 1 litres = 1000 cc]

Explanation

The correct narration is: "He told me that I could go then."

In reported speech, "you" changes to "I" and "can" changes to "could," with "now" changing to "then" to reflect the shift in time.

Explanation

The correct narration is: "She said that she was sick."

In reported speech, the present tense "am" changes to the past tense "was" to match the reporting verb's past tense.

Explanation

The correct passive voice is: "He was not visited by me."

In passive voice, the auxiliary verb "was" is used with the past participle "visited" to form the negative construction.

Explanation

The correct passive voice is: "Is she liked by you?"

In passive voice, the subject of the active sentence becomes the object, and the auxiliary verb is adjusted accordingly.