# Problems on Numbers Quiz Set 013

### Question 1

The sum of three consecutive integer numbers is -273. The smallest of the three is?

A

-92.

B

-91.

C

-89.

D

-90.

Soln.
Ans: a

Let the numbers be n - 1, n and n + 1. The sum is 3n. We are given 3n = -273, ⇒ n = \$-273/3\$, i.e., n = -91. So the smallest is -92.

### Question 2

The sum of three consecutive even integer numbers is 2556. The middle among the three is?

A

852.

B

853.

C

851.

D

854.

Soln.
Ans: a

Let the numbers be 2n - 2, 2n and 2n + 2. The sum is 6n = 3 x 2n = 3 x middle. We are given 3 x middle = 2556, ⇒ middle = \$2556/3\$, i.e., middle = 852.

### Question 3

How many prime factors does 34650 have?

A

7.

B

8.

C

6.

D

9.

Soln.
Ans: a

We can see that \$34650 = 2^1 × 3^2 × 5^2 × 7^1 × 11^1\$. The number of prime factors is sum of the powers = 7.

### Question 4

The sum of three consecutive integer numbers is 1014. The smallest of the three is?

A

337.

B

338.

C

336.

D

339.

Soln.
Ans: a

Let the numbers be n - 1, n and n + 1. The sum is 3n. We are given 3n = 1014, ⇒ n = \$1014/3\$, i.e., n = 338. So the smallest is 337.

### Question 5

What is the digit at units place: 4540 × 7403 × 8829?

A

0.

B

1.

C

3.

D

2.

Soln.
Ans: a

The digit at units place = (last digit of 4540) × (last digit of 7403) × (last digit of 8829) = 0 × 3 × 9 = 0, which = 0.