Number System Questions Practice Question and Answer
8 Q: A number when divided by 296 gives a remainder 75. When the same number is divided by 37 the remainder will be:
1023 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: The zeros of the cubic polynomial
1018 06086665a1acafc129c1a38ec
6086665a1acafc129c1a38ec- 12false
- 20false
- 3+1false
- 4-1true
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Answer : 4. "-1"
Q: A number is divided by 6 and 5 is added to this quotient Again sum is divided by 9 and the quotient obtained is 1. Find the number.
1018 05f4cfe205e74bc4ee550b0d3
5f4cfe205e74bc4ee550b0d3- 124true
- 242false
- 354false
- 430false
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Answer : 1. "24"
Q: What value will come in place of question mark (?) in the questions given below?
69 × 36 ÷ 7776 = 6? ÷ 216
1015 05eb01105caa4f678cf75b289
5eb01105caa4f678cf75b28969 × 36 ÷ 7776 = 6? ÷ 216
- 111false
- 26false
- 38false
- 49true
- 5None of thesefalse
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Answer : 4. "9"
Q: The difference between the greatest and least five-digit numbers formed by the digits 2,5,0,6,8 is (repetition of digits are not allowed)
1013 05f29421b921df80828928b5a
5f29421b921df80828928b5a- 165952true
- 263952false
- 369552false
- 465925false
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Answer : 1. "65952 "
Q: The sum of the digits of a 2 digit number is 9. When 27 is added to the number, the digits get interchanged. Find the number.
1011 060796a410372d85428892072
60796a410372d85428892072- 145false
- 236true
- 318false
- 427false
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Answer : 2. "36"
Q: If the product of four consecutive natural numbers increased by a natural number p, is a perfect square; then the value of p is:
1005 05e86d23fe378b64bed5ba759
5e86d23fe378b64bed5ba759- 18false
- 24false
- 32false
- 41true
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Answer : 4. "1"
Q: What will be remainder if (13)3 is subtracted from (66)2 ?
1001 05eb012494c5c6a1e28ce2c53
5eb012494c5c6a1e28ce2c53- 12180false
- 22160false
- 32162false
- 42168false
- 5None of thesetrue
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