Number System (Part-2)

1. When 12, 16, 18, 20 and 25 divide the least number x, the remainder in each case is 4 but x is divisible by 7. What is the digit at the thousands' place in x ? [SSC CGL Tier II (11/09/2019) ]

(a) 5
(b) 8
(c) 4
(d) 3

Correct Answer: (b) 8

Solution:

2. Let x = (633)²⁴ - (277)³⁸ + (266)⁵⁴ What is the unit digit of x? [SSC CGL Tier II (11/09/2019)]

(a) 7
(b) 6
(c) 4
(d) 8

Correct Answer: (d) 8

Solution:

3. The sum of the digits of a two-digit number is 1/7 of the number. The unit digit is 4 less than the tens digit. If the number obtained on reversing its digit is divided by 7, the remainder will be: [SSC CGL Tier II (11/09/2019)]

(a) 4
(b) 5
(c) 1
(d) 6

Correct Answer: (d) 6

Solution:

4. When 6892, 7105 and 7531 are divided by the greatest number x, then the remainder in each case is y. What is the value of (x - y)? [SSC MTS 22/08/2019 (Afternoon)]

(a) 123
(b) 137
(c) 147
(d) 113

Correct Answer: (b) 137

Solution:

5. Let x be the greatest number which when divides 6475, 4984 and 4132, the remainder in each case is the same. What is the sum of digits of x ? [SSC MTS 22/08/2019 (Morning)]

(a) 4
(b) 7
(c) 5
(d) 6

Correct Answer: (d) 6

Solution:

6. A gardener planted 1936 saplings in a garden such that there were as many rows of saplings as the columns. The number of rows planted is: [SSC CPO 16/03/2019 (Afternoon)]

(a) 46
(b) 44
(c) 48
(d) 42

Correct Answer: (b) 44

Solution:

7. What is the difference between the largest and smallest numbers of the four digits created using numbers 2, 9, 6, 5? [SSC CPO 14/03/2019 (Evening)]

(Each number can be used only once)

(a) 6993
(b) 7056
(c) 6606
(d) 7083

Correct Answer: (d) 7083

Solution:

8. The square root of which of the following is a rational number? [SSC CPO 12/03/2019 (Morning)]

(a) 1250.49
(b) 6250.49
(c) 1354.24
(d) 5768.28

Correct Answer: (c) 1354.24

Solution:

9. A number 37 is divided into two parts such that 5 times one part and 11 times the other is together equal to 227. Find the value of 9 times the smaller number. [SSC CHSL Tier II (18/11/2024)]

(a) 60
(b) 61
(c) 62
(d) 63

Correct Answer: (d) 63

Solution:

10. The number of heads on the farm, as determined by the farmer, was 60. When he counted, he discovered there were 150 legs. If all that was present were pigeons or horses, and every horse on the property had four legs while every pigeon had two, how many horses were there on the property ? [SSC MTS 07/10/2024 (Afternoon)]

(a) 14
(b) 12
(c) 15
(d) 10

Correct Answer: (c) 15

Solution:

Number System (Part-2)

1. When 12, 16, 18, 20 and 25 divide the least number x, the remainder in each case is 4 but x is divisible by 7. What is the digit at the thousands' place in x ? [SSC CGL Tier II (11/09/2019) ]

2. Let x = (633)²⁴ - (277)³⁸ + (266)⁵⁴ What is the unit digit of x? [SSC CGL Tier II (11/09/2019)]

3. The sum of the digits of a two-digit number is 1/7 of the number. The unit digit is 4 less than the tens digit. If the number obtained on reversing its digit is divided by 7, the remainder will be: [SSC CGL Tier II (11/09/2019)]

4. When 6892, 7105 and 7531 are divided by the greatest number x, then the remainder in each case is y. What is the value of (x - y)? [SSC MTS 22/08/2019 (Afternoon)]

5. Let x be the greatest number which when divides 6475, 4984 and 4132, the remainder in each case is the same. What is the sum of digits of x ? [SSC MTS 22/08/2019 (Morning)]

6. A gardener planted 1936 saplings in a garden such that there were as many rows of saplings as the columns. The number of rows planted is: [SSC CPO 16/03/2019 (Afternoon)]

7. What is the difference between the largest and smallest numbers of the four digits created using numbers 2, 9, 6, 5? [SSC CPO 14/03/2019 (Evening)]

8. The square root of which of the following is a rational number? [SSC CPO 12/03/2019 (Morning)]

9. A number 37 is divided into two parts such that 5 times one part and 11 times the other is together equal to 227. Find the value of 9 times the smaller number. [SSC CHSL Tier II (18/11/2024)]

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