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Q:

A sum of Rs. 427 is to be divided among A, B and C such that 3 times A’s share, 4 tunes B’s share and 7 times C’s share are all equal. The share of C is :

A) 84	B) 140
C) 196	D) 240

Answer & Explanation Answer: A) 84

Explanation:

3A = 4B = 7C = k,Then A = k/3, B = k/4 and C= k/7.

A : B : C = k/3 : k/4 : k/7 = 28:21 :12.

Cs share = Rs. [427 x (12/61)] = Rs. 84

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Q:

In a college, the ratio of the number of boys to girls is 8 : 5. If there are 160 girls, the total number of students in the college is

A) 100	B) 250
C) 260	D) 416

Answer & Explanation Answer: D) 416

Explanation:

Let the number of boys and girls be 8x and 5x.
Total number of students = 13x = 13 * 32 = 416.

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Q:

The salaries of A, B, and C are in the ratio of 1 : 2 : 3. The salary of B and C together is Rs. 6000. By what percent is the salary of C more than that of A?

A) 100 %	B) 200%
C) 300%	D) 600%

Answer & Explanation Answer: B) 200%

Explanation:

Let the salaries of A, B, C be x, 2x and 3x respectively.

Then,2x + 3x = 6000 => x = 1200.

A's salary = Rs. 1200, B's salary = Rs. 2400, and Cs salary Rs. 3600.
Excess of C's salary over A's=[ (2400 /1200) x 100] = 200%.

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Q:

If 0.75: x :: 5:8, then x is equal to:

A) 1.12	B) 1.16
C) 1.20	D) 1.30

Answer & Explanation Answer: C) 1.20

Explanation:

(x * 5) = (0.75 *8)

X=6/5 = 1.20

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Q:

A mixture contains alcohol and water in the ratio 4:3. If 5 liters of water is added to the mixture, the ratio becomes 4:5. Find the quantity of alcohol in the given mixture.

A) 8 Liters	B) 10 Liters
C) 18 Liters	D) 22 Liters

Answer & Explanation Answer: B) 10 Liters

Explanation:

Let the quantity of alcohol and water be 4x liters and 3x liters respectively. Then,

(4x)/(3x+5) = 4/5

=> 20x = 4(3x+5)

=> x = 2.5

Quantity of alcohol = (4 * 2.5) liters = 10 liters.

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Q:

If Rs. 782 be divided into three parts, proportional to $\frac{1}{2} : \frac{2}{3} : \frac{3}{4}$ , then the first part is?

A) Rs. 182	B) Rs. 190
C) Rs. 192	D) Rs. 204

Answer & Explanation Answer: D) Rs. 204

Explanation:

$R s . (782 * \frac{6}{23})$

Given ratio = $\frac{1}{2} : \frac{2}{3} : \frac{3}{4}$ = 6:8:9

1st part = $R s . (782 * \frac{6}{23})$ = Rs. 204

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Q:

If 76 is divided into four parts proportional to 7, 5, 3, 4, then the smallest part is:

A) 12	B) 15
C) 16	D) 19

Answer & Explanation Answer: A) 12

Explanation:

Given ratio = 7 : 5 : 3 : 4, Sum of ratio terms = 19.

Smallest part = (76*3/19) = 12

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Q:

There is certain numbers of toys in the box. They are divided into such a way that the person who gets 1/4 of the whole gets thrice of what the others get on an average. Find the number of people amongst whom the toys are distributed?

A) 8	B) 10
C) 12	D) 9

Answer & Explanation Answer: B) 10

Explanation:

If the person who gets 1/4 of the whole gets thrice of what the others get on an average, each one will get =1/3×1/4=112 of the whole.
Therefore, if there are k persons other than the person who gets one-fourth, then 1/4 + k/12 = 1
⇒ k=9

Hence, total number of people = 10.

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Filed Under: Ratios and Proportions

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