46.

Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:

**Answer: Option 'B'**

**Let the third number be x.
Then, first number = 120% of x = 1.2x = (6x/5) Second number = 150% of x = 1.5x =(3x/2)
Ratio of first two numbers = (6x/5) : (3x/2) = 12/15 = 4/5
Ratio is 4 : 5**

47.

The ages of Manoj and Amit are in the ratio 2:3. After 12 years, their ages will be in the ratio 11:15. The age of Amit is:

**Answer: Option 'A'**

**Given the present age ratio of Manoj and Amit = 2 : 3
=> present age of Manoj = 2x
present age of Amit = 3x
Given after 12years, their ages will be in the ratio **

48.

A total amount of Rs. 1800 is to be divided among A,B and C in such a way that half of A’s part, one third of B’s part and one fourth of C’s part is equal. Then A’s part is :

**Answer: Option 'A'**

**Given, A + B +C = 1800 ----> (1)
(1/2) A = (1/3) B = (1/4) C
=> B = (3/2) A -----> (2)
and C = (4/2) A -----> (3)
Substitute (2) and (3) in (1) => A + (3/2)A + (4/2)A = 1800
=> (2A + 3A + 4A) / 2 = 1800
=> 9A = 1800 × 2
=> A = 200 × 2
=> A = 400**

49.

Rs. 770 have been divided among A, B and C such that A receives two-ninths of what B and C together receive. Then A's share is

**Answer: Option 'B'**

**Given, A = (2/9) (B+C) ==>B+C = 9A / 2
and also given, A + B + C = 770
Subs,B+C = 9A / 2 in the above equation
=> A + 9A/2 = 770
=> 11A = 770 x 2
=> A = 70 x 2
=> **

50.

If 2a=6b and 9b=7c, Find a:b:c?

**Answer: Option 'D'**

**(2a = 6b => a/b = 6/2)
and (9b = 7c => b/c = 7/9)
=> a:b = 6:2 and b:c = 7:9
a:b:c = 42:14:18 = 21:7:9
**

51.

If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number?

**Answer: Option 'A'**

**Let the Two numbers be A, B
40% of A = 2/3 B
Then, 40A /100 = 2B/3
=> 2A/5 = 2B/3
=> A/B = (2/3 x 5/2 ) = 5/3
Therefore, **

52.

Rs. 770 have been divided among A, B and C such that A receives two-ninths of what B and C together receive. Then A's share is

**Answer: Option 'B'**

**A = (2/9) (B+C) A + B + C = 770 (Given)
-----> A + 9A/2 = 770 => 11A = 770 x 2 => A = 70 x 2 = 140**

53.

Two numbers are in the ratio of 1 :2. If 7 be added to both, their ratio changes to 3:5. The greater number is

**Answer: Option 'B'**

**Given, a/b = 1/2 and (a+7)/(b+7) = 3/5 => a = 14 and b = 28**

54.

The fourth proportional to 5, 8, 15 is:

**Answer: Option 'A'**

**Let the fourth proportional to 5, 8, 15 be x.
Then, 5 : 8 : 15 : x => 5x = (8 x 15) x (8x 15 ) / 5 = 24**

55.

If A:B = 3:2 B:C= 4:3 then A:B:C=?

**Answer: Option 'A'**

**(6:4:3)**

56.

The ratio of number of boys and girls in a school of 720 students is 7:5. How many more girls should be admitted to make the ratio 1:1?

**Answer: Option 'A'**

**Given, boys : girls = 7 : 5
Let, the total number of boys = 7x and total number of girls= 5x
Given, total students = 720 => 7x + 5x = 720 => 12x = 720 => x = 60
so, total number of boys = 7x = 7 × 60 = 420 and total number of girls= 5x = 5 × 60 = 300
Let y be the number of girls added to make the ratio 1 : 1 => 420 / (300 + y) = 1/1 => 420 = (300 + y) => y = 420 - 300 => y = 120
So, 120 more girls should be admitted to make the ratio 1:1**

57.

Three numbers are in the ratio 3:5:7. The largest number value is 42. Find difference between Smallest & largest number is?

**Answer: Option 'D'**

**= 3:5:7
Total parts = 15
= The largest number value is 42
= The largest number is = 7
= Then 7 parts -----> 42 ( 7 × 6 = 42 )
= smallest number = 3 & Largest number = 7
= Difference between smallest number & largest number is = 7 - 3 = 4
= Then 4 parts -----> 24 (4 × 6 = 24) **

58.

The fourth proportional to 5, 8, 25 is ________

**Answer: Option 'A'**

**Given**

Let the fourth proportional to 5, 8, 25 be x.

Then, 5 : 8 : 25 : x

=> 5x = (8 x 25)

=> x = (8 x 25)/5

= 40

59.

If 0.4:1.4 :: 1:4:x, then x=?

**Answer: Option 'B'**

**0.4 × x = 1.4 × 1.4
x = 1.4 × 1.4/0.4 = 14/10 × 14/10 × 1/(4/10)
14/10 × 14/10 × 10/4
7/10 × 7 = 49/10 = 4.9**

60.

If Rs.800/- Rupees are divided among a,b and c in such a way that A’s share 4 times more than B, B’s share is 3 times more than C. The C’s share is?

**Answer: Option 'D'**

**A:B:C = 12:3:1
Total parts = 16
C's share is = 1 parts
16 -----> Rs.800/-
1 -----> Rs.50/- (Answer = Rs.50/-)**

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