1. A number divided by 3515 gives 25 as remainder. If the same number is divided by 19, the remainder will be...
A) 3 B) 6 C) 5 D) 1
2. The sum of the squares of two numbers is 514 and their difference is 2. Then the product of two numbers is...
A) 255 B) 265 C) 250 D) 260
3. Find the total number of even factors for 1440.
A) 30 B) 35 C) 32 D) 28
4. If 3 is added to the numerator of a 3 fraction, it becomes 
and if 2 is added to the denominator of the same fraction it becomes 
The sum of the numerator and denominator is....
A) 21 B) 23 C) 25 D) 27
5. The sum of two numbers is 27 and their product is 36. What will be the sum of their reciprocals?
A) 
B) 
C) 
D) 
6. If the sum and the product of two numbers are 34 and 285 respectively then the difference of the numbers must be...
A) 2 B) 4 C) 5 D) 6
7. Find the remainder when 1! + 2! + 3! + ………. + 48! is divided by 6...
A) 3 B) 2 C) 5 D) 0
8. In an examination, 43% of the candidates failed in Mathematics and 28% in English. If 9% failed in both Mathematics and English, then what is the percentage of students who passed in both the subjects?
A) 28% B) 32% C) 36% D) 38%
9. The square of 45 is equal to the product of 135 and a number. Find the number.
A) 12 B) 9 C) 14 D) 15
10. What least value must be given to
* so that the number 2524
* 82 is divisible by 9?
A) 2 B) 0 C) 1 D) 4
11. The ratio between two numbers is 7 : 5 and the sum of their squares is 666. What is the greater of the two
numbers?
A) 10 B) 24.5 C) 14 D) 21
12. The cube of the difference between two given natural numbers is 1728, while the product of these two given numbers is 108. Find the sum of the cubes of these two given numbers.
A) 5616 B) 5626 C) 4104 D) 4014
13. The square of the difference between two given natural numbers is 324, while the product of these two given
numbers is 144. Find the positive difference between the squares of these two given numbers.
A) 540 B) 450 C) 630 D) 360
14. The difference between the cubes of two given natural numbers is 6272, while the positive difference between the two given numbers is 8. What is the sum of the cubes of the two given numbers?
A) 9728 B) 9684 C) 9600 D) 8000
15. The sum of the cubes of two given natural numbers is 9728, while the sum of the two given numbers is 32. What is the positive difference between the cubes of the two given numbers?
A) 8000 B) 7904 C) 5832 D) 6272
16. The square of the sum of two given natural numbers is 784, while the product of the two given numbers is 192. Find the positive difference between the squares of these two given numbers.
A) 122 B) 112 C) 120 D) 512
Key
1-B 2-A 3-A 4-C 5-C 6-B 7-A 8-D 9-D 10-D 11-D 12-A 13-A 14-A 15-D 16-B
