Explanation

Given: P = False, Q = True, R = False

Expression: (~P ∧ Q) ∨ R

1. ~P = ~False = True

2. ~P ∧ Q = True ∧ True = True

3. (~P ∧ Q) ∨ R = True ∨ False = True

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Quick Rule

NOT changes the value.

AND is True only when both are True.

OR is True when at least one is True.

Explanation

Pattern: Multiply by 2 and add 1

1  

3 = 1 x 2 + 1  

7 = 3 x 2 + 1  

15 = 7 x 2 + 1  

31 = 15 x 2 + 1  

63 = 31 x 2 + 1  

? = 63 x 2 + 1 = 127  

Last verified on 11-07-2026

Explanation

The pattern is:

• $5 times 2 + 1 = 11$
• $11\times 2+1=23$
• $23\times 2+1=47$
• $47\times 2+1=95$

Answer: 95

Last question by NA on 09 July 2026

Explanation

To find the average, we need to first convert each fraction to a decimal:

 5/6 = 0.83

 4/3 = 1.33

 3/4 = 0.75

Then, add the decimals and divide by the number of values:

 0.83 + 1.33 + 0.75 = 2.91

 2.91 ÷ 3 = 0.97

Now, convert the average back to a fraction:

 0.97 ≈ 35/36

Last verified on 01-07-2026

Explanation

The average of the first n natural numbers is given by (n + 1) / 2.

For n = 97:

Average = (97 + 1) / 2

= 98 / 2

= 49

Last verified on 17-06-2026

Explanation

5 × 2 = 10

10 × 2 = 20

20 × 2 = 40

40 × 2 = 80

Last verified on 11-2026

Explanation

Explanation

Sweets for children = 80 × 15 = 1200

Sweets for youngsters = 10 × 25 = 250

Total sweets = 1200 + 250 = 1450

Last updated question by NS on 11 May 2026

Explanation

Average of 8 persons = 12.5

So total weight:

$$8 times 12.5 = 100$$

One person of 18 kg is replaced by 10 kg:

New total:

$$100-18+10=92$$

New average:

$$92÷8=11.5$$

$$Last\; updated\; question\; NS\; on\; 10\; MAY\; 2026$$

Explanation

Ratio of boys : girls = 9 : 11

Total parts:

$$9+11=20$$

Total students = 80

Girls

$$frac{11}{20} times 80 = 44$$

$$Last\; updated\; question\; NS\; on\; 10\; MAY\; 2026$$