Simplification
- Simplify

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= 
13 ÷ 1 
= 13 4 24 6 = 
13 × 24 
= 13 4 6 = 13 × 6 × 6 = 36 13 Correct Option: B

= 
13 ÷ 1 
= 13 4 24 6 = 
13 × 24 
= 13 4 6 = 13 × 6 × 6 = 36 13
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is equal to
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= 31 × 30 − 5 12 5 2 = 31 − 5 = 31 − 5 = 26 2 2 2 2
= 13Correct Option: C

= 31 × 30 − 5 12 5 2 = 31 − 5 = 31 − 5 = 26 2 2 2 2
= 13
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5 + 3 

25 − 15 + 9 
is equal to 2 2 4 4 4
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5 + 3 

25 − 15 + 9 
2 2 4 4 4 = 4 × 19 = 19 4 Correct Option: B

5 + 3 

25 − 15 + 9 
2 2 4 4 4 = 4 × 19 = 19 4
- For what value of *, statement

(*) × (*) 
= 1 is correct ? 21 189
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Let ‘*’ be H

(H) × (H) 
= 1 21 189
⇒ (H)2 = 21 × 189
⇒ H = √21 × 189 = 63Correct Option: C
Let ‘*’ be H

(H) × (H) 
= 1 21 189
⇒ (H)2 = 21 × 189
⇒ H = √21 × 189 = 63
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= 0.83 ÷ 7.5 is equal to 2.321 − 0.098
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= 0.83 ÷ 7.5 2.321 − 0.098 = 83 − 8 ÷ 7.5 90 2 321 − 3 − 98 990 990 = 75 ÷ 7.5 90 2 318 − 98 990 990 = 75 ÷ 7.5 90 2 220 990 = 7.5 × 990 = 1 = 0.05 90 × 7.5 2200 20 Correct Option: D
= 0.83 ÷ 7.5 2.321 − 0.098 = 83 − 8 ÷ 7.5 90 2 321 − 3 − 98 990 990 = 75 ÷ 7.5 90 2 318 − 98 990 990 = 75 ÷ 7.5 90 2 220 990 = 7.5 × 990 = 1 = 0.05 90 × 7.5 2200 20