Number System
- 1/10 of a rod is coloured red, 1/20 orange, 1/30 yellow, 1/40 green, 1/50 blue, 1/60 black and the rest is violet. If the length of the violet portion of the rod is 12.08 metres, then the length of the rod is
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Let the length of the rod be p metres.
According to the question,p − 
p + p + p + p + p + p 
= 12.08 10 20 30 40 50 60 p 
1 − 60 + 30 + 20 + 15 + 12 + 10 
= 12.08 600 p 1 − 147 = 12.08 600 p 600 − 147 = 12.08 600
Correct Option: A
Let the length of the rod be p metres.
According to the question,p − p + p + p + p + p + p = 12.08 10 20 30 40 50 60 p 1 − 60 + 30 + 20 + 15 + 12 + 10 = 12.08 600 p 1 − 147 = 12.08 600 p 600 − 147 = 12.08 600 ⇒ p × 453 = 12.08 600 ⇒ p = 12.08 × 600 = 16 m. 453
- The number 2.52, when written as a fraction and reduced to lowest terms, the sum of the numerator and denominator is
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2.52 = 2 + 52 = 250 99 99
Correct Option: C
2.52 = 2 + 52 = 250 99 99
∴ Required sum = 250 + 99 = 349
- The value of
1 + 1 + 1 + 1 + 1 is 15 35 63 99 143
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1 + 1 + 1 + 1 + 1 15 35 63 99 143 = 1 × 1 + 1 + 1 + 1 3 × 5 5 × 7 7 × 9 9 × 11 11 × 13 = 1 1 − 1 + 1 − 1 + 1 − 1 + 1 − 1 + 1 − 1 2 3 5 5 7 7 9 9 11 11 13
Correct Option: A
1 + 1 + 1 + 1 + 1 15 35 63 99 143 = 1 × 1 + 1 + 1 + 1 3 × 5 5 × 7 7 × 9 9 × 11 11 × 13 = 1 1 − 1 + 1 − 1 + 1 − 1 + 1 − 1 + 1 − 1 2 3 5 5 7 7 9 9 11 11 13 = 1 1 − 1 = 1 13 − 3 = 5 2 3 13 2 39 39
- Find a number, one-seventh of which exceeds its eleventh part by 100.
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Let the number be n.
∴ n − n = 100 7 11 ⇒ 11n − 7n = 100 11 × 7
⇒ 4n = 77 × 100
Correct Option: A
Let the number be n.
∴ n − n = 100 7 11 ⇒ 11n − 7n = 100 11 × 7
⇒ 4n = 77 × 100⇒ n = 77 × 100 = 1925 4
- 1.27 in the form p/q is equal to
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Required answer = 1.27 = 1 27 = 1 3 99 11 Correct Option: C
Required answer = 1.27 = 1 27 = 1 3 = 14 99 11 11
