Number System Questions Practice Question and Answer
8 Q: Let x be the least number of 4 digit that when divided by 2, 3, 4, 5, 6 and 7 leaves a remainder of 1 in each case. If x lies between 2000 and 2500, then what is the sum of the digits of x?
1314 05fc0df504f2f6c622bef0352
5fc0df504f2f6c622bef0352- 14true
- 215false
- 39false
- 410false
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Answer : 1. "4"
Q: (0.5 ×5 + 0.25 ×0.5 + 0.5 × 4 + 0.5 ×0.75) is equal to-
1313 06078ecb60372d8542887a790
6078ecb60372d8542887a790- 14false
- 23false
- 32false
- 45true
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Answer : 4. "5"
Q: A number when divided by 119, leaves a remainder of 19. If it is divided by 17, it will leave a remainder of:
1311 0614c68834d59797c590e504e
614c68834d59797c590e504e- 119false
- 27false
- 310false
- 42true
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Answer : 4. "2 "
Explanation :
On dividing the given number by 119, let k be the quotient and 19 as remainder.
Then, number = 119k + 19
= 17 × 7k + 17 × 1 + 2
= 17 (7k + 1) + 2
Hence, the given number when divided by 17, gives (7k + 1) as quotient and 2 as remainder.
Q: The number will be, whose square is equal to the difference between the squares of 975 and 585, is:
1304 05f3f8a7703c6925a59d2dc07
5f3f8a7703c6925a59d2dc07- 1780true
- 2390false
- 31560false
- 4130false
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Answer : 1. "780 "
Q: The average of five consecutive number is 26, then the multiple of the first and the last number is
1304 0601a4eb78f9c7c5b6d8f14f0
601a4eb78f9c7c5b6d8f14f0- 1722false
- 2672true
- 3648false
- 4576false
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Answer : 2. "672"
Q: A number when divided by 296 gives a remainder 75. When the same number is divided by 37 the remainder will be:
1285 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:Direction : What value should come in the place of question mark (?) in the following questions?
11283 + 25 % of ? + 727 = 13280
1284 05e8478f8560ba15ccda8370a
5e8478f8560ba15ccda8370a- 1None of thesetrue
- 25020false
- 35280false
- 415180false
- 55280false
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Answer : 1. "None of these "
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:
1284 05e86d23fe378b64bed5ba759
5e86d23fe378b64bed5ba759- 18false
- 24false
- 32false
- 41true
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