25
Q:

476 ** 0 is divisible by both 3 and 11.The non zero digits in the hundred's and ten's places are respectively:

A) 6 and 2 B) 8 and 2
C) 6 and 5 D) 8 and 5

Answer:   D) 8 and 5



Explanation:

Let the number  be 476ab0 

 

476ab0 is divisible by 3 

=> 4 + 7 + 6 + a + b + 0 is divisible by 3

=> 17 + a + b is divisible by 3 ------------------------(i)

 

476ab0 is divisible by 11

[(4 + 6 + b) -(7 + a + 0)] is 0 or divisible by 11

=> [3 + (b - a)] is 0 or divisible by 11  --------------(ii)

 

Substitute the values of a and b with the values given in the choices and select the values which satisfies both Equation 1 and Equation 2.

 

if a=6 and b=2, 

17 + a + b = 17 + 6 + 2 = 25 which is not divisible by 3 --- Does not meet equation(i).Hence this is not the answer

 

if a=8 and b=2, 

17 + a + b = 17 + 8 + 2 = 27 which is divisible by 3 --- Meet equation(i)

[3 + (b - a)] = [3 + (2 - 8)] = -3 which is neither 0 nor divisible by 11---Does not meet equation(ii).Hence this is not the answer

 

if a=6 and b=5, 

17 + a + b = 17 + 6 + 5 = 28 which is not divisible by 3 --- Does not meet equation (i) .Hence this is not the answer

 

 

if a=8 and b=5, 

17 + a + b = 17 + 8 + 5 = 30 which is divisible by 3 --- Meet equation 1

[3 + (b - a)] = [3 + (5 - 8)] = 0 ---Meet equation 2

Since these values satisfies both equation 1 and equation 2, this is the answer

Q:

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

A) 4275 B) 8550
C) 12825 D) 17100
 
Answer & Explanation Answer: A) 4275

Explanation:
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1 130
Q:

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

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

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4 367
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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5 288
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

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3 239
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

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1 308
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

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0 333
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

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0 209
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

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0 233