Practice MCQ Questions and Answer on Number System

11.

Find the least number of five digits which is divisible by 333 ?

• (A) 10328
• (B) 10323
• (C) 10333
• (D) 10332

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12.

While writing all the numbers from 700 to 1000, how many numbers occur in which the first digits greater than the second digit, and the second digit is greater than the third digit ?

• (A) 61
• (B) 64
• (C) 78
• (D) 85

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13.

Which of the following pairs of non-zero values of p and q make 6-digit number 674pq0 divisible by both 3 and 11?

• (A) p = 2 and q = 2
• (B) p = 5 and q = 4
• (C) p = 4 and q = 2
• (D) p = 5 and q = 2

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14.

Find the number of divisors of 1420.

• (A) 14
• (B) 15
• (C) 13
• (D) 12

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15.

The sum of two numbers is 684 and their HCF is 57. Find all possible pairs of such numbers.

• (A) (57, 627) (285, 399)
• (B) (37, 575) (270, 390)
• (C) (45, 495) (30, 330)
• (D) (45, 575) (280, 890)

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16.

The number of prime numbers between 0 and 50 is :

• (A) 14
• (B) 15
• (C) 16
• (D) 17

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17.

The smallest three-digit prime number is :

• (A) 101
• (B) 103
• (C) 107
• (D) None of these

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18.

If a and b are odd numbers, then which of the following is even ?

• (A) a + b + ab
• (B) a + b - 1
• (C) a + b + 1
• (D) a + b + 2ab

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19.

When simplified the product : $$\left(2-\frac{1}{3}\right)$$ $$\left(2-\frac{3}{5}\right)$$ $$\left(2-\frac{5}{7}\right)$$  .....$$\left(2-\frac{997}{999}\right)$$

• (A) $$\frac{1001}{3}$$
• (B) $$\frac{5}{3}$$
• (C) $$\frac{5}{999}$$
• (D) $$\frac{1001}{999}$$

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20.

The sum of squares of three positive integers is 323. If the sum of squares of two numbers is twice the third, their product is :

• (A) 255
• (B) 260
• (C) 265
• (D) 270

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