Number System Questions Practice Question and Answer
8 Q: In an examination, a student was asked to find 3/11 of a certain number, by mistake, he found 3/4 of it. His answer was 315 more than the correct answer. The given number is –
878 06082c8105027727e2faba1df
6082c8105027727e2faba1df- 1629false
- 2660true
- 3617false
- 4576false
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Answer : 2. "660"
Q: The product of the zeroes of the quadratic polynomial x2+7x+ 10 is
433 063108e9cd9ac741324b7c0e4
63108e9cd9ac741324b7c0e4- 112false
- 210true
- 332false
- 442false
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Answer : 2. "10"
Q: What is the smallest digit that must be added to the product 5786 × 5784 to make it a perfect square?
625 0630ded3f4e3bf85cbe748a92
630ded3f4e3bf85cbe748a92- 11false
- 26false
- 35true
- 44false
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Answer : 3. "5"
Q: When (6767 +67) is divided by 68, the remainder is-
569 06303364629cb46304423ee34
6303364629cb46304423ee34- 113false
- 263false
- 366true
- 467false
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Answer : 3. "66"
Explanation :
(6767+ 67) = 67(6766 + 166)
As 66 is an even number
We know 6766 is an even number
We know (6766 + 1) is perfectly divisible by (67 + 1)
i.e. 68
We know The remainder = 66
(6767+ 67) = 67(6766 + 166)
Q: The sum of the squares of two natural consecutive odd numbers is 394. The sum of the numbers is –
416 06303357ffef7996822e8f226
6303357ffef7996822e8f226- 124false
- 232false
- 340false
- 428true
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Answer : 4. "28"
Explanation :
Let the consecutive odd numbers be x and (x+2)
We know that x2 + (x + 2)2 = 394
We know x2 + x2 + 4x + 4 = 394
We know 2 x2 +4x – 390 = 0
We know x2 + 2x – 195 = 0
We know (x +15) (x-13) = 0
We know x = 13
We know Required sum = 13 +15 =28
Q: The value of (81)3.6 * (9)2.7/ (81)4.2 * (3) is __
570 063033460c3bfb21b4ac229c4
63033460c3bfb21b4ac229c4- 13false
- 26false
- 39true
- 48.2false
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Answer : 3. "9"
Explanation :
(81)3.6 * (9)2.7/(81)4.2 * (3) = (3)14.4 * (3)5.4/(3)16.8 * (3)
= 314.4+5.4-16.8-1
= 32
= 9 Q: The product of 2 numbers is 1575 and their quotient is 9/7. Then the sum of the numbers is –
467 0630333c0c3bfb21b4ac2185c
630333c0c3bfb21b4ac2185c- 174false
- 278false
- 380true
- 490false
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Answer : 3. "80"
Explanation :
Let the numbers be x and y .
We know xy = 1575
And x/y = 9/7
We know xy/x/y = 1575/9/7
We know y2 = 1225
We know y = 35 and x = 45
We know The sum of the numbers = 45+35
= 80
Q: Find the greatest value of (a + b) such than an 8-digit number 4523a60 b is divisible by 15.
546 062f1220255c5be584101a5cb
62f1220255c5be584101a5cb- 113true
- 215false
- 311false
- 49false
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