0
Q:

# The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find two numbers.

 A) 10 & 12 B) 10 & 18 C) 12 & -18 D) -12 & 18

Explanation:

Given, difference of the squares of two numbers is 180.

k2 - l2 - 180

Also, square of the smaller number is 8 times the larger.

= l= 8k

Thus, k2 - 8a - 180 = 0

k2 – 18k + 10k - 180 = 0

→  k(k - 18) + 10(k – 18) = 0

= (k + 10)(k – 18) = 0

→  k = -10, 18

Thus, the other number is

324 - 180 = l2

→ Numbers are 12, 18 or -12, 18.

Q:

(61 + 62 + 63 + ......... +110) = ?

 A) 4275 B) 8550 C) 12825 D) 17100

Explanation:

0 75
Q:

What is the value of (91 + 92 + 93 + ......... +140)?

 A) 5775 B) 11550 C) 17325 D) 23100

Explanation:

4 320
Q:

What is the value of

 A) 222222222 B) 111111111 C) 555555555 D) 525252525

Explanation:

5 280
Q:

What is the sum of first 40 terms of 1 + 3 + 4 + 5 + 7 + 7 + 10 + 9 + ....?

 A) 1010 B) 1115 C) 1030 D) 1031

Explanation:

3 233
Q:

If N = 1 + 11 + 111 + 1111 + ... +111111111, then what is the sum of the digit's of N?

 A) 45 B) 18 C) 36 D) 5

Explanation:

1 285
Q:

If and , then which of the following option is TRUE?

 A) C > B > A B) C > A > B C) A > B > C D) A > C > B

Explanation:

0 323
Q:

If A = 1 – 10 + 3 – 12 + 5 – 14 + 7 + ... upto 60 terms, then what is the value of A?

 A) – 360 B) – 310 C) – 240 D) – 270

Explanation:

0 200
Q:

Three numbers are in Arithmetic Progression (AP) whose sum is 30 and the product is 910. Then the greatest number in the AP is

 A) 17 B) 15 C) 13 D) 10