Explanation

Given series:  

25, 34, 52, 79, 114, ?

Now check the differences between terms:

- 34 − 25 = 9  

- 52 − 34 = 18  

- 79 − 52 = 27  

- 114 − 79 = 35

Now look at the differences:

9, 18, 27, 35 → this isn’t a perfect pattern, but looks close to multiples of 9:

- 9 × 1 = 9  

- 9 × 2 = 18  

- 9 × 3 = 27  

- 9 × 4 = 36 → but actual is 35 (off by 1)

So likely next difference = 9 × 5 = 45, or possibly 44 to maintain the pattern.

114 + 44 = 158

Explanation

Step 1: Find total work done.  

10 men × 4 days = 40 man-days  

They earn = 500 units

So, per man-day earning = 500 ÷ 40 = 12.5 units

Step 2: Calculate earning for 8 men in 6 days:  

8 men × 6 days = 48 man-days

So, 48 man-days × 12.5 units = 600 units

Explanation

The sequence you gave — 15, 30, 45, … — is increasing by 15 each time.

So:

• First term: 15

• Second term: 30 (15 + 15)

• Third term: 45 (30 + 15)

• Fourth term: 60 (45 + 15)

Next term = 60

Explanation

This is a series of perfect squares in decreasing order:  

- 100 = 10²  

- 64 = 8²  

- 36 = 6²  

- 16 = 4²  

→ Next: 2² = 4  

Explanation

The analogy "Eye is to see, Eat is to Taste"

An eye is the organ of sight and an element of the body's sense of vision,

While

The mouth or tongue is the organ used for tasting and eating. 

Explanation

The odd one out is Cup, because the Rose, Lily, and Lotus are all flowers, while a cup is a non-living object. 

Rose: A terrestrial flower that grows on land.

Lily: A flower, generally growing on land.

Lotus: An aquatic flower that grows in water.

Cup: A non-living item used for drinking. 

Explanation

The series increases by 5 each time:  

5 → 10 (+5)  

10 → 15 (+5)  

15 → 20 (+5)  

So, the next number is 20.

Explanation

K I S T N A P

Try rearranging: Pakistan

Yes! "Kistnap" is an anagram of "Pakistan".

Explanation

Look at the pattern of the series:

1 → 2 (×2)  

2 → 6 (×3)  

6 → 12 (×2)  

12 → 36 (×3)  

36 → 72 (×2)  

72 → 216 (×3)

The pattern is multiplying alternatively by 2 and 3.

So, after 216, multiply by 2:

216 × 2 = 432

Explanation

The additive inverse of a matrix A is the matrix which when added to A results in the zero matrix.  

So, additive inverse of matrix A = -A (negate each element).

Given matrix A =  

[ -7  8 ]  

[  6  3 ]

Additive inverse =  

[ 7  -8 ]  

[ -6  -3 ]