Aptitude - Questions & Answers

Simplification - Online Quiz

Quiz

Following quiz provides Multiple Choice Questions (MCQs) related to Simplification. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz.

Q 1 - 219/13 - 31/9 + 483/26 = ?

Answer : D

Explanation

Give Exp = 219 /13 - 31/9 + 489/26 = ( 219/13 + 489 /26 - 31/9 )
= ( 438 +489/26 - 31/9) = ( 927 /26 - 31/9) = (8343 - 806 ) / 234
= 7537/ 234

Q 2 - 13/4 + 25/6 + ? + 1/4 = 10

Answer : D

Explanation

let 13/4 + 25/6 +x+1/4 = 10 then,
39+50 +12x +3 =120 ⇒ 92+12x = 120  = 12x= 28 ⇒ x= 7/3

Q 3 - [13/4 -4/5 of 5/6]/[13/4 /1/5 -(3/10 +106/5)] - (5/3 of 3/2) =?

Answer : C

Explanation

given exp = [13/4 -4/5 of 5/6]/[13/4  /1/5 -(3/10 +106/5)] - (5/3 of 3/2)
=[13/4-2/3]/[13/3 *5/1 -(3+212/5)] - (5/2)
=[31/12][65/3 - 215/10] - 5/2
=[31/12][65/3 - 43/2] - 5/2
=(31/12) / ( 130 - 129) - 5/2 = (31/12) / ( 1/6) - 5/2
=(31/ 12 * 6 /  1 ) - 5/2 = (31/2 - 5/2 ) = 26/2 = 13.

Q 4 - 6994/7 + 6995/7 +6996/7 +6997/7 +6998/7 +6999/7 =?

Answer : C

Explanation

Give Exp. = (999 * 6 ) + (1/7 + 2/7 + 3/7+ 4/7+ 5/7+ 6/7)
= 5994 + ( 1+ 2+ 3+ 4 +5+ 6) / 7 = 5994 + 21/7
= 5994+ 3 = 5997.

Q 5 - 1/ 2+ 1/3+ 1/3+ 1 / (4+1/5) = ?

Answer : C

Explanation

given exp. =  1/(2+1/(1/(3 + 1/(21/5))))
= 1/(2+1/(1/(3 + 5/21)))
= 1/(2+21/68)
= 1/(136+21)/68
 = 68/157

Q 6 - 1- [ 1- {1- (1-1- 1)}] = ?

Answer : A

Explanation

given exp.  = 1- [1-{1-(1-0)}] = 1- [1-(1-1)] =  1- [1-0] = 1-1= 0.

Q 7 - { 1/2 +1/6 +1 /12 + 1/20 + 1/30 + ... 1/ n (n+1) } =?

Answer : C

Explanation

given exp.  = (1-1/2)+ (1/2 -1/3) + (1/3 -1/4) +(1/4 -1/5) + ...+ [ 1/n - 1/(n+1)]
= (1- 1/n+1) = (n+1-1)/ (n+1)  = n/ (n+1)

Q 8 - if a/x+ y/b = 1 and b/y+ z/c = 1, then (x/a + c/z) = ?

Answer : C

Explanation

a/x+ y/b = 1 ⇒ a/x(1- y/b) = (b-y/b) ⇒ x/a =  b/(b-y)
b/y + z/c = 1 ⇒ z/c = ( 1- b/y ) = (y-b)/y ⇒ c/z = y/ (y-b)
∴   (x/a + c/z) = b/ (b-y) + y/(y-b) = b/ (b-y) - y (b-y) = (b-y)/ (b-y) = 1.

Q 9 - a²- b² - 2bc - c² / a² +b²+ 2ab- c² = ?

Answer : C

Explanation

given exp. =  a²-(b+c)²/(a+b)²- c²
[a+ (b+c)] [ a-(b+c)]/[a+b+c)] [a+b-c] = (a-b-c)/(a+b-c)

Q 10 - An organization have three share holder A, B and C. all of the shareholder get the share of profit in that way 1/3 share of the profit gets A. while 1/4 share of the profit received by B and rest of the part of the profit Rs. 5000 becomes the share of C. Find out the share of profit Received by A?

Answer : D

Explanation

Let the total profit be rs. x. then,
x/3 + x/4 +5000   = x ⇒ 4x+ 3x+ 60000 = 12x
⇒  5x = 60000 ⇒  x = 12000.
Share of profit received by A = (1/3 * 12000) = 4000 Rs.

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