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

Answer:   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
 
Answer & Explanation Answer: A) 4275

Explanation:
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0 75
Q:

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

A) 5775 B) 11550
C) 17325 D) 23100
 
Answer & Explanation Answer: A) 5775

Explanation:
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4 320
Q:

What is the value of 10.2+10.02+10.002+... upto 9 terms

A) 222222222 B) 111111111
C) 555555555 D) 525252525
 
Answer & Explanation Answer: C) 555555555

Explanation:
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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
 
Answer & Explanation Answer: C) 1030

Explanation:
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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
 
Answer & Explanation Answer: A) 45

Explanation:
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1 285
Q:

If A = 232, B = 231+ 230+ 229+ ... + 20and C = 315+ 314+ 313+ ... + 30, then which of the following option is TRUE?

A) C > B > A B) C > A > B
C) A > B > C D) A > C > B
 
Answer & Explanation Answer: B) C > A > B

Explanation:
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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
 
Answer & Explanation Answer: D) – 270

Explanation:
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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
 
Answer & Explanation Answer: C) 13

Explanation:
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0 195