1. The numerator of a fraction ismultiple 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

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

Answers