Explanation

To find the Arithmetic Mean (Average):

Add the numbers: 10 + 20 + 30 + 40 + 50 = 150

Count the numbers: 5

Divide the sum by the count: 150/5 = 30

Last verified on 23-10-2026

Explanation

Increase = 100 − 80 = 20.

Percentage increase = (Increase ÷ Original number) × 100.

Percentage increase = (20 ÷ 80) × 100 = 25%.

Last verified on 23-10-2026

Explanation

• Arithmetic Mean is calculated by dividing the sum of all observations by the total number of observations.
• For example, the mean of 2, 4, and 6 is (2 + 4 + 6) ÷ 3 = 4.
• The formula is: Arithmetic Mean = Sum of observations ÷ Number of observations.

Last verified on 23-10-2026

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

• A point is written as (x,y). When the y-coordinate is zero, the point lies on the x-axis.
• For example, (3,0) and (−5,0) both lie on the x-axis.
• The origin (0,0) lies on both the x-axis and the y-axis.

Last verified on 22-10-2026

Explanation

2.5 hours = 2.5 x 60 = 150 minutes

Fee = Rs. 6 for 150 minutes

Fee per minute = 6 / 150 = Rs. 0.04

= 4 Paisa per minute.

Last verified on 22-10-2026

Explanation

Pattern is square of odd numbers:

1^2 = 1

3^2 = 9

5^2 = 25

7^2 = 49

9^2 = 81

11^2 = 121

Given sequence has 27 instead of 25.

Incorrect number is 27.

Last verified on 22-10-2026