Number System Questions Practice Question and Answer
8 Q: Sum of two numbers is 15 and sum of their reciprocals is $$ {15\over56}$$. The two numbers are
1598 05ee9a979eee45c3b8374a5ff
5ee9a979eee45c3b8374a5ff- 14, 11false
- 25, 10false
- 36, 9false
- 47, 8true
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Answer : 4. "7, 8"
Q: What is the smallest number of 5 digits which is exactly divisible by 12, 24, 48, 60 and 96?
1596 060758151c61d5c2ec945bc4d
60758151c61d5c2ec945bc4d- 110000false
- 210024false
- 310080true
- 410160false
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Answer : 3. "10080"
Q: The zeros of the cubic polynomial $$ {2x^{3}-x^{2}-2x+1}$$ are a, b and c respectively. Find ab + bc + ca =?
1592 06086665a1acafc129c1a38ec
6086665a1acafc129c1a38ec- 12false
- 20false
- 3+1false
- 4-1true
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Answer : 4. "-1"
Q: A number when divided by 296 gives a remainder 75. When the same number is divided by 37 the remainder will be:
1592 05ee8426479b5ea388bec0116
5ee8426479b5ea388bec0116- 18false
- 21true
- 32false
- 411false
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Answer : 2. "1 "
Explanation :
Let number (dividend) be X.
∴ X = 296 × Q + 75 where Q is the quotient and can have the values 1, 2, 3 etc.
= 37 × 8 × Q + 37 × 2 + 1
= 37 (8Q + 2) + 1
Thus we see that the remainder is 1.
[Remark : When the second divisor is a factor of the first divisor, the second remainder is obtained by dividing the first remainder by the second divisor.
Hence, divide 75 by 37, the remainder is 1].
Q: (0.5 ×5 + 0.25 ×0.5 + 0.5 × 4 + 0.5 ×0.75) is equal to-
1586 06078ecb60372d8542887a790
6078ecb60372d8542887a790- 14false
- 23false
- 32false
- 45true
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Answer : 4. "5"
Q: What is the sum of first 14 natural numbers?
1582 0609919db1c52c418ae4c7ae7
609919db1c52c418ae4c7ae7- 191false
- 2120false
- 3105true
- 4110false
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Answer : 3. "105"
Q: In a two - digit number, the digit at the unit's place is 1 less than twice the digit at the ten's place. If the digits at units and ten's place are interchanged, the difference between the new and the original number is less than the original number by 20. The original number is:
1579 05ee84c2b642b74661722a703
5ee84c2b642b74661722a703- 135false
- 247true
- 359false
- 423false
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Answer : 2. "47"
Q: If the sum of a number and its reciprocal be 2, then the number is-
1577 061161d61a9d47920f2a703f9
61161d61a9d47920f2a703f9- 10false
- 21true
- 3-1false
- 42false
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