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The incomes of two persons A and B are in the ratio 3:4. If each saves Rs.100 per month, the ratio of their expenditures is 1:2. Find their incomes ?

A.

200, 400

B.

100, 300

C.

100, 200

D.

150, 200

Answer with explanation

Answer: Option DExplanation

The incomes of A and B be 3P and 4P.

Expenditures = Income – Savings

(3P – 100) and (4P – 100)

The ratio of their expenditure = 1:2

(3P – 100):(4P – 100) = 1:2

2P = 100 => P = 50

Their incomes = 150, 200

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On her deathbed, a grand mother called upon his three grand sons and told them to distribute all her assets worth Rs. 52,500 in the ratio of 1/35 : 1/21 : 1/15 amongst themselves. Find the smallest share amongst the three portions ?

A.

Rs. 5422

B.

Rs. 10,500

C.

Rs. 12,800

D.

Rs. 15,000

Answer with explanation

Answer: Option BExplanation

The ratio of distribution should be:

21 x 15 : 15 x 35 : 35 x 21

= 315 : 525 : 735

= 3 : 5 : 7

The smallest share will be of worth:

3/15 x 52,500 = Rs. 10,500

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6 pumps of kirlosker can fill a tank in 7 days and 2 similar pumps of USHA can fill the same tank in 18 days. what is the ratio of the efficiency of a kirlosker pump and a USHA pump?

A.

6:7

B.

7:6

C.

7:54

D.

None of these

Answer with explanation

Answer: Option AExplanation

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Rice worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, then the price of third variety of rice per kg?

A.

Rs. 571.25

B.

Rs. 175.5

C.

Rs. 751.75

D.

Rs. 850

Answer with explanation

Answer: Option BExplanation

Let the price of required variety = Rs. P/kg

Then, respective amounts were m kg, m kg and 2m kg

= 126m + 135m + 2pm = 153 x 4m

=> 2p = 351

**p = 175.5 / kg**

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64 boys and 40 girls form a group for social work. During their membership drive, the same number of boys and girls joined the group. How many members does the group have now, if the ratio of boys to girls is 4:3 ?

A.

168

B.

201

C.

147

D.

154

Answer with explanation

Answer: Option AExplanation

Let us say x boys and x girls joined the group.

(64 + x)/(40 + x) = 4/3

192 + 3x = 160 + 4x => x = 32

Number of members in the group = 64 + x + 40 + x

= 104 + 2x = 168.

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Three cats are roaming in a zoo n such a way that when cat A takes 5 steps, B takes 6 steps and C takes 7 steps.But the 6 steps of A are equal to the 7 steps of B and 8 steps of C. what is the ratio of their speeds?

A.

140:144:147

B.

40:44:47

C.

15:21:28

D.

252:245:240

Answer with explanation

Answer: Option AExplanation

Frequency of step of A:B:C = 5 : 6 : 7

But in terms of size of step, 6A = 7B = 8C

Therefore, Ratio of speeds of A, B and C = 5/6 : 6/7 : 7/8 = 140 : 144 : 147

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A cubical block of metal weighs 6 pounds. How much will another cube of the same metal weigh if its sides are twice as long?

A.

48

B.

12

C.

36

D.

60

Answer with explanation

Answer: Option AExplanation

If you double the sides of a cube, the ratio of the surface areas of the old and new cubes will be 1: 4. The ratio of the volumes of the old and new cubes will be 1: 8.

Weight is proportional to volume. So, If the first weighs 6 pounds, the second weighs 6×8 pounds =48.

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The wages of labourers in a factory increases in the ratio 22:25 and there was a reduction in the number of labourers in the ratio 15:11. Find the original wage bill if the present bill is Rs. 5000 ?

A.

Rs. 5500

B.

Rs. 6000

C.

Rs. 6200

D.

Rs. 6350

Answer with explanation

Answer: Option BExplanation

The wages of labourers in a factory increases in the ratio 22:25 and there was a reduction in the number of labourers in the ratio 15:11. Find the original wage bill if the present bill is Rs 5000 ?

Ratio of increase of wages = 22:25

Ratio of decrease of labourers = 15:11

Compound ratio of wages of labourers = 22 x 15 : 25 x 11 = 330:275

Final bill = Rs. 5000

For 275 ratio wages = Rs. 5000

For 1 ratio wages = 5000/275

For 330 ratio wages = 5000/275 x 330 = Rs. 6000

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A child has three different kinds of chocolates costing Rs.2, Rs.5, Rs.10. He spends total Rs. 120 on the chocolates. what is the minimum possible number of chocolates he can buy, if there must be atleast one chocolate of each kind?

A.

22

B.

19

C.

17

D.

15

Answer with explanation

Answer: Option CExplanation

Minimum number of chocolates are possible when he purchases maximum number of costliest chocolates.

Thus, 2 x 5 + 5 x 2 =Rs.20

Now Rs.100 must be spend on 10 chocolates as 100 = 10 x 10.

Thus minumum number of chocolates = 5 + 2 + 10 = 17

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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 with explanation

Answer: Option DExplanation

Let the number of boys and girls be 8x and 5x.

Total number of students = 13x = 13 * 32 = 416.

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