Explanation

The mean of five consecutive integers is the middle integer, so the middle number is 68.

The five integers are 66, 67, 68, 69, and 70.

Therefore, the largest integer is 70.

Last verified on 23-10-2026

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

Explanation

Total vehicles = 160

Cars = 120, so Trucks = 160 - 120 = 40

Green Trucks = 18, so Red Trucks = 40 - 18 = 22

Total Red = 70, so Red Cars = Total Red - Red Trucks

= 70 - 22 = 48

Last verified on 20-10-2026

Explanation

A = {2,4,6,8,10}

B = {1,2,3,4,6,12}

A ∩ B = {2,4,6}

3 elements

Last verified on 20-10-2026

Explanation

2x - 6 = 24

2x = 30

x = 15

Last verified on 20-10-2026

Explanation

Let smallest number = x

x + (x+1) + (x+2) + (x+3) = 54

4x + 6 = 54

4x = 48

x = 12

Last verified on 20-10-2026