Simplification
- On simplification 3034 – (1002 ÷ 20.04) is equal to
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3034 – (1002 ÷ 20.04)
= 3034 – 1002 20.04 = 3034 – 1002 × 100 2004
= 3034 – 50 = 2984Correct Option: B
3034 – (1002 ÷ 20.04)
= 3034 – 1002 20.04 = 3034 – 1002 × 100 2004
= 3034 – 50 = 2984
- The sum of the cubes of the numbers 22, –15 and –7 is equal to
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Here, 22 – 15 – 7 = 0
We know that
a3 + b3 + c3 = 3abc,
if a + b + c = 0
∴ (22)3 + (–15)3 + (–7)3
= 3 × 22 × (–15) (–7) = 6930Correct Option: A
Here, 22 – 15 – 7 = 0
We know that
a3 + b3 + c3 = 3abc,
if a + b + c = 0
∴ (22)3 + (–15)3 + (–7)3
= 3 × 22 × (–15) (–7) = 6930
- The sum of the perfect squares between 120 and 300 is
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Required sum = 121 + 144 + 169 + 196 + 225 + 256 + 289 = 1400
Correct Option: A
Required sum = 121 + 144 + 169 + 196 + 225 + 256 + 289 = 1400
- The least number that should be subtracted from the number 32146 to make it a perfect square is :
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√32146 > 179
179 × 179 = 32041
∴ Required answer
= 32146 – 32041 = 105Correct Option: B
√32146 > 179
179 × 179 = 32041
∴ Required answer
= 32146 – 32041 = 105
- If 5416 * 6 is a perfect square, then the digit at ‘*’ is :
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∵ 1466 × 6 = 8796
∴ * = 9Correct Option: A
∵ 1466 × 6 = 8796
∴ * = 9
