Number System
- ‘a’ divides 228 leaving a remainder 18. The biggest two– digit value of ‘a’ is
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228 = 70 × 3 + 18
Correct Option: A
228 = 70 × 3 + 18
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999 1 + 999 2 + 999 3 + 999 4 + 999 5 + 999 6 7 7 7 7 7 7
is simplified to :
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Expression
= 999 1 + 999 2 + .....+ 999 6 7 7 7 = 
999 + 1 
+ 999 + 2 + .....+ 999 + 6 7 7 7 = (6 × 999) + 1 + 2 + 3 + .....+ 6 7 7 7 7 = 5994 + 1 + 2 + 3 + 4 + 5 + 6 7 = 5994 + 21 = 5994 + 3= 5997 7 Correct Option: A
Expression
= 999 1 + 999 2 + .....+ 999 6 7 7 7 = 999 + 1 + 999 + 2 + .....+ 999 + 6 7 7 7 = (6 × 999) + 1 + 2 + 3 + .....+ 6 7 7 7 7 = 5994 + 1 + 2 + 3 + 4 + 5 + 6 7 = 5994 + 21 = 5994 + 3= 5997 7
- In a factory one out of every 9 is a female worker. If the number of female workers is 125, the total number of workers is
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Total number of workers
= 125 × 9 = 1125Correct Option: B
Total number of workers
= 125 × 9 = 1125
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999 999 × 7 1000
is equal to:
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999 999 × 7 1000 = 999 + 999 × 7 1000 = 6993 + 6993 1000 = 6993 + 6 993 1000 = 6993 + 6 + 993 1000 = 6999 993 1000 Correct Option: D
999 999 × 7 1000 = 999 + 999 × 7 1000 = 6993 + 6993 1000 = 6993 + 6 993 1000 = 6993 + 6 + 993 1000 = 6999 993 1000
- If sum of two numbers be a and their product be b, then the sum of their reciprocals is
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If the numbers be x and y, then
x + y = a and xy = b∴ 1 + 1 = x + y = a y x xy b Correct Option: C
If the numbers be x and y, then
x + y = a and xy = b∴ 1 + 1 = x + y = a y x xy b
