Number System Questions Practice Question and Answer
8 Q: A number when divided by 6 leaves remainder 3. When the square of the same number is divided by 6, the remainder is :
1028 0650d36e3d2f211504875ecda
650d36e3d2f211504875ecda- 10false
- 21false
- 32false
- 43true
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Answer : 4. "3"
Explanation :
The remainder will be same.
On dividing 9 by 6, remainder = 3
On dividing 81 by 6, remainder = 3
Q: Find the greatest value of (a + b) such than an 8-digit number 4523a60 b is divisible by 15.
1021 062f1220255c5be584101a5cb
62f1220255c5be584101a5cb- 113true
- 215false
- 311false
- 49false
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Answer : 1. "13 "
Q: What is the smallest digit that must be added to the product 5786 × 5784 to make it a perfect square?
1010 0630ded3f4e3bf85cbe748a92
630ded3f4e3bf85cbe748a92- 11false
- 26false
- 35true
- 44false
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Answer : 3. "5"
Q: Two positive numbers differ by 1280. When the greater number is divided by the smaller number, the quotient is 7 and the remainder is 50. The greater number is:
1006 064bfb2f4e2108a7239492d0d
64bfb2f4e2108a7239492d0d- 11558false
- 21458false
- 31585false
- 41485true
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Answer : 4. "1485"
Explanation :
Given :- Two positive numbers differ by 1280
When the greater number is divided by the smaller number The quotient is 7 and the remainder is 50
Concept :- Dividend = Quotient × divisor + remainder
Calculation :- Let greater number = a and Smaller number = b From question, ⇒ a - b = 1280 ....(1) Again from question, ⇒ a = 7b + 50 ....(2)
Put the value of a from equation (2) into equation (1) ⇒ 7b + 50 - b = 1280 ⇒ 6b = 1280 - 50 ⇒ 6b = 1230 ⇒ b = (1230/6) ⇒ b = 205
Put the value of b in equation (1) ⇒ a - 205 = 1280 ⇒ a = 1280 + 205 ⇒ a = 1485 ⇒ Greater number = 1485 ∴ Greater number is 1485
Q: Find the greatest value of k for which the 6-digit number 24312k is divisible by 6.
1005 062f121223342ab11842da91c
62f121223342ab11842da91c- 16true
- 24false
- 38false
- 40false
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Answer : 1. "6 "
Q: In a group of 35 people, 23 of them like coffee, 24 of them like tea and each person likes at least one of the drinks. How many like both?
1005 0631f2bac80b9d104aeb467c8
631f2bac80b9d104aeb467c8- 112true
- 235false
- 347false
- 46false
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Answer : 1. "12"
Q: What should be the least added to 41116 so that the sum is divisible by 8?
1002 06322888a69fe1d77bc0639f6
6322888a69fe1d77bc0639f6- 15false
- 28false
- 34true
- 412false
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Answer : 3. "4"
Q: Which of the following fraction is the smallest?
$$7\over 6 $$,$$7\over 9$$,$$4\over 5$$,$$5\over 7$$
1001 065081b75e918d9427f49639d
65081b75e918d9427f49639d- 1$$7\over 6 $$false
- 2$$7\over 9$$false
- 3$$4\over 5$$false
- 4$$5\over 7$$true
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Answer : 4. "$$5\over 7$$"
Explanation :
