Explanation

Total possible outcomes = 2⁴ = 16.

The probability of getting no head (all tails) is 1/16.

Probability of getting at least one head = 1 − P(no head).

Therefore: 1 − 1/16 = 15/16.

Explanation

• Measured length = 250 m
• Standard chain length = 20 m
• Chain is 10 cm longer = 0.10 m
• Actual chain length = 20 + 0.10 = 20.10 m

Formula:

True Length=Measured Length×Actual Chain Length/Standard Chain Length​

Substitute:

=250×20.10/20

​ $$=250\times 1.005$$

=251.25 m

Last updated by NS on 14-8-2026
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Explanation

• The formula for the perimeter of a rectangle is 2(length + width).
• A rectangle has two equal lengths and two equal widths.
• Therefore, perimeter = length + width + length + width.
• Simplified formula: P = 2(l + w).

Last verified on 14-08-2026

Explanation

Rule: If n is odd then a^n + b^n is divisible by a + b

Here n = 43 which is odd  

a = 47 , b = 43  

a + b = 47 + 43 = 90

So 47⁴³ + 43⁴³ is divisible by 90

Last verified on 12-08-2026

Explanation

√2 - 1/√2 = 1/√2

(1/√2)² = 1/2

Last verified on 12-08-2026

Explanation

Multiply: 1 × 6 = 6  

Now count decimals: 0.01 has 2 decimals, 0.6 has 1 decimal → total 3 decimals

So 0.01 × 0.6 = 0.006

Last verified on 11-08-2026

Explanation

Explanation

Rate = 1350 dishes per 1 hour = 60 minutes

In 16 minutes:

Dishes = 1350 × (16 / 60)

= 1350 × 0.2666...

= 360

Last verified on 06-08-2026

Explanation

Sales tax = 0% × Rs. 50,000 = Rs. 0.

Therefore, no sales tax is charged when the tax rate is 0%.

Last verified on 06-08-2026

Explanation

Girls participating = 1/5 of 200 = 200 / 5 = 40

Boys participating = 1/8 of 160 = 160 / 8 = 20

Total students who participated = 40 + 20 = 60

Last verified on 06-08-2026