Explanation

Explanation

Given: x² = y³.

Raising both sides to the power 3 gives: x⁶ = y⁹.

Therefore, x²ᶻ = x⁶, so 2z = 6 and z = 3.

Last verified on 30-10-2026

Explanation

Rule:

If distance < radius → point inside → 0 tangent

If distance = radius → point on circle → 1 tangent

If distance > radius → point outside → 2 tangents

Here: Distance of Q = 7 cm, Radius = 4 cm

7 > 4, so Q is outside the circle, so 2 tangents can be drawn.

Last verified on 30-10-2026

Explanation

• The perimeter of a square is equal to 4 times its side length.
• Side length = 48 ÷ 4 = 12 cm.
• All four sides of a square are equal.

Last verified on 30-10-2026

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