Number System Questions Practice Question and Answer
8 Q: Select the set in which the numbers are related in the same way as the numbers of the following set.
(12, 30, 204)
933 0644bc5a3244f7ecdff5f539c
644bc5a3244f7ecdff5f539c(12, 30, 204)
- 1(9, 12, 225)false
- 2(11, 15, 236)false
- 3(4, 12, 28)false
- 4(15, 20, 265)true
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Answer : 4. "(15, 20, 265)"
Q: Find the mode for the given distribution (rounded off to two decimal places)
Class 5-10 10-15 15-20 20-25 25-30 30-35
Interval Frequency 8 7 6 9 11 10
932 064954576dad6f2e01f5ee4f8
64954576dad6f2e01f5ee4f8- 135.25false
- 240.25false
- 330.33false
- 428.33true
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Answer : 4. "28.33"
Q: What should be the least added to 41116 so that the sum is divisible by 8?
926 06322888a69fe1d77bc0639f6
6322888a69fe1d77bc0639f6- 15false
- 28false
- 34true
- 412false
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Answer : 3. "4"
Q: The sum of square of three positive integers is 323. If the sum of squares of two numbers is twice the third, their product is
924 0638dbfeb58400a550dbe7395
638dbfeb58400a550dbe7395- 1255true
- 2260false
- 3265false
- 4270false
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Answer : 1. "255"
Q: In a question on division, the divisor is 7 times the quotient and 3 times the remainder. If the remainder is 28, then the dividend is
919 0650d3f3f73357650645d20e3
650d3f3f73357650645d20e3- 1588false
- 2784false
- 3823false
- 41036true
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Answer : 4. "1036"
Explanation :
Let the quotient be Q and the remainder be R. Then
Divisor = 7 Q = 3 R
∴ Divisor = 7 Q = 7 × 12 = 84
Dividend = Divisor × Quotient + Remainder = 84 × 12 + 28 = 1008 + 28 = 1036
Q: In a two-digit number, its units digit exceeds its tens digit by 2 and that the product of the given number and the sum of its digits is equal to 460. The number is:
915 064ccb999b6a5e472e27f42e3
64ccb999b6a5e472e27f42e3- 148false
- 264false
- 346true
- 436false
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Answer : 3. "46"
Q: The sum of three numbers is 252. If the first number is thrice the second and third number is two-third of the first, then the second number is
913 0638dbf7875f808476e2b7869
638dbf7875f808476e2b7869- 141false
- 221false
- 342true
- 484false
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Answer : 3. "42"
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:
912 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