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Q:

A sum of Rs.312 was divided among 100 boys and girls in such a way that the boy gets Rs.3.60 and each girl Rs. 2.40 the number of girls is

A) 35	B) 40
C) 45	D) 50

Answer & Explanation Answer: B) 40

Explanation:

Step (i): Let x be the number of boys and y be the number of girls.
Given total number of boys and girls = 100
x+y=100 -------------- (i)

Step (ii): A boy gets Rs. 3.60 and a girl gets Rs. 2.40
The amount given to 100 boys and girls = Rs. 312
3.60x + 2.40y = 312 -------------- (ii)

Step (iii):
Solving (i) and (ii)
3.60x + 3.60y = 360 --------- Multiply (i) by 3.60
3.60x + 2.40y = 312 --------- (ii)
1.20y = 48
y = 48 / 1.20
= 40

$\Rightarrow$ Number of girls = 40

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Filed Under: Ratios and Proportions

Q:

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

A) 2:5	B) 3:5
C) 4:5	D) 5:4

Answer & Explanation Answer: C) 4:5

Explanation:

Let the third number be x.

Then, first number = 120% of x =120x/100 = 6x/5

Second number =150% of x = 150x/100 = 3x/2

Ratio of first two numbers = 6x/5 : 3x/2 = 12x : 15x = 4 : 5

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Filed Under: Ratios and Proportions

Q:

A bag contains 50 P, 25 P and 10 P coins in the ratio 5: 9: 4, amounting to Rs. 206. Find the number of coins of each type respectively.

A) 360, 160, 200	B) 160, 360, 200
C) 200, 360,160	D) 200,160,300

Answer & Explanation Answer: C) 200, 360,160

Explanation:

let ratio be x.

Hence no. of coins be 5x ,9x , 4x respectively

Now given total amount = Rs.206

=> (.50)(5x) + (.25)(9x) + (.10)(4x) = 206

we get x = 40

=> No. of 50p coins = 200

=> No. of 25p coins = 360

=> No. of 10p coins = 160

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Filed Under: Ratios and Proportions

Q:

Mathematics : Numbers :: History : ?

A) Wars	B) People
C) Events	D) Dates

Answer & Explanation Answer: C) Events

Explanation:

Mathematics is the theory of numbers and history is the theory of past events.

Hence Mathematics : Numbers :: History : Events.

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Filed Under: Analogy
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Q:

The total number of pairs of Peripheral nerves in man are

A) 41	B) 42
C) 43	D) 44

Answer & Explanation Answer: C) 43

Explanation:

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Filed Under: Biology

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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Filed Under: Ratios and Proportions

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

Q:

If n is natural number , then $(6 n^{2} + 6 n)$ is always divisible by :

A) 6 only	B) 6 and 12 both
C) 12 only	D) by 18 only

Answer & Explanation Answer: B) 6 and 12 both

Explanation:

$(6 n^{2} + 6 n) = 6 n (n + 1)$ , which is always divisible by 6 and 12 both, since n(n+1) is always even.

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Filed Under: Numbers

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