Simplification
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The value of is
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= 16 × 9 × 1 10 + 15 3 11 4 4 = 16 × 9 × 1 40 + 15 3 11 4 4 = 16 × 9 × 1 × 55 = 15 3 11 4 4 Correct Option: A
= 16 × 9 × 1 10 + 15 3 11 4 4 = 16 × 9 × 1 40 + 15 3 11 4 4 = 16 × 9 × 1 × 55 = 15 3 11 4 4
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Find the sum of 1 − 1 + 1 − 2 + 1 − 3 + ..... 1 − n n + 1 n + 1 n + 1 n + 1
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1 − 1 + 1 − 2 + 1 − 3 + ..... 1 − n n + 1 n + 1 n + 1 n + 1 = n − 1 + 2 + 3 + ....+ n n + 1 n + 1 n + 1 n + 1 = n − 1 + 2 + 3 +....+ n n + 1 = n − n(n + 1) = n − n = n = 1 n 2(n + 1) 2 2 2 Correct Option: B
1 − 1 + 1 − 2 + 1 − 3 + ..... 1 − n n + 1 n + 1 n + 1 n + 1 = n − 1 + 2 + 3 + ....+ n n + 1 n + 1 n + 1 n + 1 = n − 1 + 2 + 3 +....+ n n + 1 = n − n(n + 1) = n − n = n = 1 n 2(n + 1) 2 2 2
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3 3 × 3 3 + 2 × 3 3 × 2 + 2 × 2 = ? 5 5 5 5 5 5
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Let 3 3 = a and 2 = b, then 5 5
Expression = a2 + 2ab + b2 = (a + b)2= 3 3 + 2 2 = (4)2 = 16 5 5 Correct Option: B
Let 3 3 = a and 2 = b, then 5 5
Expression = a2 + 2ab + b2 = (a + b)2= 3 3 + 2 2 = (4)2 = 16 5 5
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The value of is
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= 7 − 9 ÷ 3 2 4 4 = 7 − 9 × 4 2 4 3 = 7 − 3 = 7 − 6 = 1 2 2 2 Correct Option: A
= 7 − 9 ÷ 3 2 4 4 = 7 − 9 × 4 2 4 3 = 7 − 3 = 7 − 6 = 1 2 2 2
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1 + 1 is 1 + 2a − b 1 + 2b − a
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1 + 1 1 + 2a − b 1 + 2b − a = 1 + 1 1 + 2a 1 + 2b 2b 2a = 2b + 2a = 2b + 2a = 1 2b + 2a 2a + 2b 2b + 2a Correct Option: C
1 + 1 1 + 2a − b 1 + 2b − a = 1 + 1 1 + 2a 1 + 2b 2b 2a = 2b + 2a = 2b + 2a = 1 2b + 2a 2a + 2b 2b + 2a