DIRECTIONS : Problems based on Numbers.
46. |
The sum of the smallest six digit number and the greatest five digit number is |
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A. 201110 |
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B. 199999 |
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C. 211110 |
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D. 1099999 |
Solution |
Requires sum | =(100000 + 99999) |
=199999. |
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47. |
In a division sum, the divisor is 10 times the quotient and 5 times the remainder. If the remainder is 46, the divident is |
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A. 4236 |
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B. 4306 |
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C. 4336 |
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D. 5336 |
Solution |
Divisor | = (5×46) |
= 230. |
Also. 10×Q | = 230 |
‹=› Q=23. |
And, R= 46. |
Dividend | = (230×23+46) |
= 5336. |
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48. |
A positive integer, which when added to 1000, gives a sum which is greater than when it is multiplied by 1000. This positive integer is |
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A. 1 |
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B. 3 |
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C. 5 |
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D. 7 |
Solution |
(1000 + N) > (1000N) |
Clearly, N=1. |
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49. |
The difference between two numbers is 1365. When the larger number is divided by the smaller one, the quotient is 6 and the remainder is 15. The smaller number is |
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A. 240 |
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B. 270 |
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C. 295 |
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D. 360 |
Solution |
Let the smaller number be x. |
Then, larger number | = (1365 + x)) |
Therefore 1365 + x | ‹=›(6x+15 |
‹=› 5x = 1350 |
‹=› x= 270. |
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50. |
If x is a whole number, then x²(x² - 1) is always divisible by |
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A. multiple of 12 |
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B. 24 |
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C. 12 - x |
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D. 12 |
Solution |
Putting x = 12,we get 2²(2² - 1) | = 12. |
So, x²(x² - 1) is always divisible by 12. |
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