# Number Systems Practice Questions for CGL Tier-2

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**Practice Questions on Number Systems for SSC CGL 2017 Tier-2**

**1. The numerator of a fraction is multiple of two numbers. One of the numbers is greater than the other by 2. The greater number is smaller than the denominator by 1. If the denominator is given as 5 + c(c is a constant), then the minimum value of the fraction is:**1. 2/3

2. –2

3. –1/2

4. 1/2

**2. Find the number which when multiplied by 13 is increased by 180:**1. 20

2. 15

3. 12

4. 5

**3. Find the number of divisors of 10800.**1. 57

2. 60

3. 72

4. 62

**4. The sum of the digits in a two-digit number is 5. If 9 is subtracted fromthe number, the result is the number with the digits reversed. The number is:**1. 23

2. 24

3. 14

4. 32

**5. Three consecutive numbers such that twice the first, 3 times the second and 4 times the third together make 182. The numbers in question are:**1. 18, 22 and 23

2. 18, 19 and 20

3. 19, 20 and 21

4. 20, 21 and 22

**6. There are 5 consecutive natural numberswith LCM as 60. The product of the first two numbers is equal to the 5th number. What is the sum of the 5 numbers?**1. 0

2. 19

3. 20

4. 25

**7. Find the least numberwhichwhen divided by 16, 18 and 20 leaves a remainder 4 in each case, but is completely divisible by 7.**1. 465

2. 3234

3. 2884

4. 3234

**8. HCF of two numbers is 15 and their LCM is 180. If their sum is 105, then the numbers are:**1. 30 and 70

2. 35 and 70

3. 50 and 75

4. 45 and 60

**9. A certain type of board is sold in lengths of multiples of 2 feet. The shortest board sold is 6 feet, and the longest is 24 feet. A builder needs a large quantity of this type of board in 5 1 2 feet lengths. For minimum waste the lengths to be ordered should be:**1. 23 ft

2. 28 ft

3. 22 ft

4. 52 ft

**10. The LCMand HCF of two positive numbers is 1000 and 50 respectively. Which of the following could be the pair of such numbers?**1. 150 and 200

2. 175 and 300

3. 50 and 100

4. 200 and 250

**11. The weight of a body as calculated by the average of 7 different experiments is 53.735 g. The average of the first three experiments is 54.005 g, of the fourth is 0.004 g greater than the fifth, while the average of the sixth and seventh experiment was 0.010 g less than the average of the first three. Find the weight of the body obtained by the fourth experiment.**1. 49.353 g

2. 51.718 g

3. 53.342 g

4. 54.512 g

**12. Find the average weight of four containers, if it is known that the weight of the first container is 100 kg and the total of the second, third and fourth containers’ weight is defined by f(x) = x2 – 3/4 (x2), where x = 100.**1. 650 kg

2. 880 kg

3. 760 kg

4. 460 kg

**13. There are five boxes in a cargo hold. The weight of the first box is 200 kg and theweight of the second box is 20% higher than the weight of the third box, whose weight is 25% higher than the first box’s weight. The fourth box at 350 kg is 30% lighter than the fifth box. Find the difference in the average weight of the four heaviest boxes and the four lightest boxes.**1. 80 kg

2. 75 kg

3. 37.5 kg

4. 116.8 kg

**14. In a class of 52 students the number of boys is two less than the number of girls. Average weight of the boys is 42 kg, while the average weight of all the 52 students is 40 kg. What is the approx. average weight of the girls.**1. 38 kg

2. 39 kg

3. 40 kg

4. 42 kg

**15. 19 persons went to a hotel for a combined dinner party. 13 of them spent Rs. 79 each on their dinner and the rest spent Rs. 4 more than the average expenditure of all the 19. What was the total money spent by them?**1. 1628.4

2. 1536

3. 1492

4. 1673

**16. Given that c(ax + by – cz) = b(ax – by + cz) = a(–ax + by + cz) = 2, then ax+by+cz/ab+bc+ca equals**1. 2/abc

2. 3/xyz

3. 2

4. 1/2

**17. The price of a diamond is proportional to the square of its weight. The diamond accidentally fell and broke into four pieces whose weights are in the ratio of 1 : 2 : 3 : 4. If the price fetched is Rs. 70,000 less than the original price, find the original price?**1. Rs. 100,000

2. Rs. 70,000

3. Rs. 160,000

4. Rs. 10800

**18. The speeds of three cars are in the ratio 2 : 3 : 4. The ratio between the times taken by these cars to travel the same distance is**1. 1 : 2 : 3

2. 2 : 3 : 4

3. 8 : 5 : 4

4. 6 : 4 : 3

**19. If a, b, c andd are proportional then the mean proportion between a2 + c2 and b2 + d2 is**1. ad/dc

2. ab + cd

3. a/b + d/c

4. b2/a2 + d2/c2

**20. A cat takes 5 leaps for every 4 leaps of a dog, but 3 leaps of the dog are equal to 4 leaps of the cat. What is the ratio of the speed of the cat to that of the dog?**1. 13 : 14

2. 15 : 11

3. 17 : 15

4. 15 : 16

**Answer Keys**

**1. (3) 2. (2) 3. (4) 4. (4) 5. (4) 6. (3) 7. (3) 8. (4) 9. (3) 10. (4)**

11. (3) 12. (1) 13. (2) 14. (1) 15. (2) 16. (1) 17. (1) 18. (4) 19. (2) 20. (4)

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Number Systems Practice Questions for CGL Tier-2
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