Numbers System Assignment

1. Find the digit in the units position of 15^28 + 11^22 – 9^27.

(a) 2 (b) 3 (c) 7 (d) 9

2. Which of the following is a perfect square?

(a) 27510032 (b) 27520526 (c) 27499536 (d) 27531238



3. Find the number of divisors of 1026.

(a) 42 (b) 32 (c) 24 (d) 52



4. The sum of two numbers is 13 and the sum of their squares is 85. Find the numbers.

(a) 8, 5 (b) 9, 4 (c) 7, 6 (d) 12, 1



5. The sum of two numbers is 175 and their difference is 75. Then, what is the difference between their squares.

(a) 13025 (b) 10000 (c) 13125 (d) 13152



6. Find the number of factors of

(a) 192 (b) 17 (c) 480 (d) 540



7. If (12 + 22 + 32 + …. + 102) = 385, then the value of (22 + 42 + 62 + .... + 202) =?

(a) 385 (b) 1540 (c) 770 (d) (385)(385)



8. What is the value of

(a) 440 (b) 550 (c) 330 (d) 660



9. If 5a = 3125, then the value of 5(a-3) is:

(a) 25 (b) 125 (c) 1625 (d) 625



10. The LCM and HCF of two numbers are 84 and 21 respectively. If the ratio of the two numbers is 1:4, then the larger of the two numbers is

(a) 12 (b) 48 (c) 84 (d) 108

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