Explanation

Given:

A = positive even integer (2,4,6...)

B = positive even integer (2,4,6...)

Check both:

1) (-2A)^B

Base is -2A = negative

Power B = even

Negative ^ Even = Positive

So (-2A)^B = +(2A)^B = Positive number

2) -2A²B

= -2 x A² x B

= Negative number

Positive is always greater than Negative.

So (-2A)^B is greatest.

Last verified on 22-10-2026

Explanation

Clock strikes:

1 o'clock = 1 strike

2 o'clock = 2 strikes

...

12 o'clock = 12 strikes

Total in 12 hours = 1+2+3+4+5+6+7+8+9+10+11+12

This is sum of first 12 numbers.

Formula = n(n+1)/2

= 12 x 13 / 2

= 156 / 2

= 78

Last verified on 22-10-2026

Explanation

2/5 = 0.4

Last verified on 22-10-2026

Explanation

All pairs have a common factor greater than 1 except one.

56, 63 = Both divisible by 7

96, 108 = Both divisible by 12

16, 18 = Both divisible by 2

86, 99 = 86 = 2 x 43, 99 = 3 x 3 x 11 - No common factor

So 86, 99 does not belong to the group.

Last verified on 20-10-2026

Explanation

All pairs except one have a common property inside the pair.

18 = 1+8 = 9 and 45 = 4+5 = 9

27 = 2+7 = 9 and 36 = 3+6 = 9

14 = 1+4 = 5 and 23 = 2+3 = 5

In every pair the sum of digits of both numbers is equal.

In 29, 82

29 = 2+9 = 11

82 = 8+2 = 10

Sum is not equal.

So 29, 82 does not belong to the group.

Last verified on 20-10-2026