# 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 - 4500 * ? = 3375

A - 2/5

B - 3/4

C - 1/4

D - 3/5

### Explanation

`let 4500  * x = 3375. Then ,x = 3375 / 4500 = 3/4`

Q 2 - 108 / 36 of 1/3 + 2/5 * 15/4 = ?

A - 35/4

B - 25/4

C - 5/2

D - 21/2

### Explanation

```given exp. = 108 /36 of 1/3+ 2/5 *15/4
= 108/ 12+ 2/5 *15/4 = 9+ 3/2 = 21/2```

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 - (1/5 /1/5 of 1/5 ) / (1/5 of 1/5 /1/5) =?

A - 1

B - 5

C - 1/5

D - 25

### Explanation

```given exp. = (1/5 /1/25)/(1/25 /1/5)
= (1/5*25) / (1/25*5)
= 5/(1/5)
= 5*5
= 25```

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

A - 3/5

B - 5/3

C - 5/12

D - 5

### Explanation

```given exp. =  5/ 3+  3/(1/3)
= 5/ (3+9)
= 5/12```

Q 6 - [ (1998)2 - (1997)2 + (1996 )2 - (1995)2 +(1994)2 - (1993)2 ]=?

A - 11953

B - 11958

C - 11963

D - 11973

### Explanation

```given exp. =  (1998+1997) (1998-1997)+ (1996+1995) (1996-1995)+ (1994+1993)(1994-1993)
=  (3995*1)+ (3991*1)+ (3987*1)= (3995+3991+3987)= 11973```

Q 7 - if a/b = 3/4 and 8a +5b = 22 , then a = ?

A - 2/3

B - 3/2

C - 5/8

D - none of these

### Explanation

```a/b = 3/4 ⇒ 3b = 4a ⇒ b = 4a / 3.
∴  8a + 5b = 22 =.> 8a+ 5* 4a/3 =22
⇒ 24a+20a =66 ⇒ 44a= 66  ⇒ a = 3/2```

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 - ((469+174)2 -(469-174)2)/(469*174)= ?

A - 2

B - 4

C - 295

D - 643

### Explanation

`given exp. = (a+b)2 +(a-b)2 /ab =  4ab/ab = 4`

Q 10 - If we have two companies A and B . If no. of employess tansfered from A to B , then numbers of employees becomes equal . On the other hand if 20 employees are transferred from B to A Then the number of employess in A becomes doubles in the comparision to B company. How much Employees are working in A's company?

A - 40

B - 50

C - 60

D - 100

```We assume that x employee in the A company and y  in the B company.