# Simplification - Online 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 - 5852 / 28 * ? - 1653 = 1064

A - 9

B - 13

C - 15

D - 18

### Explanation

```let 5852 / 28 * x ? 1653 = 1064.
Then , 5852 * 1/28 *x = ( 1064 + 1653 ) = 2717 ⇒ 209 x = 2717 ⇒ x = 2717 / 209 = 13.```

Q 2 - (11/4) / (8/3) / (13/12) = ?

A - 13/16

B - 5/4

C - 169/144

D - None of these

### Explanation

`given exp. =   (11/4)  / (8/3) / (13/12) = 11/4 *3/8 *12/13 = 99/104`

Q 3 - 9 - (11/9) of (36/11) /(36/7) of (7/9) = ?

A - 5/4

B - 8

C - 680/81

D - 9

### Explanation

`given exp = 9- 11/9 of 36/11/ 36/7 of 7/9 =9-4/4=( 9-1) = 8`

Q 4 - { 15/2+1/2 / 1/2 of 1/4 -2/5 *7/3 /15/8 of (7/5-4/3)}=?

A - 16/5

B - 49/24

C - 121/30

D - none of these

### Explanation

```Give Exp. = 15/2 +1/2 /1/2 of 1/4 -2/5 *7/3/15/8 of  (7/5 -4/3)
= 15/2 +1/2 /1/2 of 1/4 -2/5 *7/3 /15/8 of 1/15
= 15/2+1/2 /1/8 -2/5*7/3 / 1/8
= 15/2 +1/2 *8/1- 2/5*7/3 *8/1
= 15/2 +4- 112/5 = 23/2- 112/15
=(345-224)/30
= 121/30```

Q 5 - 79/14 / 5+ 3/ (3+ 1/3 /5 =?

A - 1

B - 3/2

C - 2

D - 5/2

### Explanation

```given exp.  =  (79/14)/  5+ 3/(3+5/3)
=  (79/14)/  5+ 3/(14/3)
= (79/14)/ 5+9/14
=  (79/14)/(79/14)
= 1```

Q 6 - (1- 1/3)(1- 1/4)(1-1/5) ....(1-1/99)( 1-1/100) = ?

A - 1/25

B - 1/50

C - 1/100

D - 2/99

### Explanation

`given exp.= 2/3 *3/4 *4/5 *...*98/99* 99/100 = 2/100 = 1/50`

Q 7 - if x/ 2y = 3/2 , then (2x+y)/(x-2y) = ?

A - 1/7

B - 7

C - 7.1

D - none of these

### Explanation

```x / 2y = 3/2 ⇒ x/y = ( 2 * 3/2 )  = 3.
2x +y / x - 2y = 2 ( x/y ) + 1 / (x/y) - 2 = 2* 3 + 1 / 3-2 = 7/1 = 7.```

Q 8 - if p/q = 7, then P+Q/P-Q = ?

A - 7/8

B - 1/3

C - 2/3

D - 4/3

### Explanation

`p+q/ p-q = ( p/q +1)/ (p/q-1)  = (7+1)/(7-1)  = 8/6 = 4/3 `

Q 9 - if a +b+c = 11 and ab+ bc + ca = 20 , then what should be the value of (a3+b3+c3-3abc) = ?

A - 121

B - 341

C - 671

D - 781

### Explanation

```(a3+b3+c3- 3abc) = (a+b+c)
(a2+b2+c2-ab- bc-ca)
=  (a+b+c)[ (a+b+c)2 - 3(ab+bc+ca)]  = [ 11* (11) -3*20]
=  11* (121-60) = 11*61 = 671```

Q 10 - If a monkey can climb 6m on a round pole during 1 min. but he slipped 3 m in the next attempt or next min. The length of the pole is 21 m then how much time he will take to complete the task?

A - 10 min

B - 11 min

C - 12 min

D - 13 min

``` Time taken to climb 6m in the last = 1 min.