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Q:

A sum of Rs.118 was divided among 50 boys and girls such that each boy received Rs.2.60 and each girl Rs.1.80. Find the number of boys and girls ?

Answer

Average money received by each = 118/50 = Rs. 2.36

Therefore, Ratio of No.of boys and girls = 56 : 24 = 7 : 3

Therefore, Number of boys = 50 x (7/10) = 35

Number of girls = 50 - 35 = 15

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Subject: Alligation or Mixture

Q:

Study the following pie-charts to answer the following questions :

The pie-charts show the expenditure of two companies A and B, Which are Rs.50 lakh and Rs.60 lakh respectively.

1.If the incomes of Company A and B are in the ratio of 4:5 and the income of Company B is 180% of its expenditure,then what is the difference between the income of Company B and the income of Company A ?

1.Rs.2200000 2. Rs.1900000 3. Rs.2160000 4. Rs.1850000 5.Rs.2250000

2.If the number of employees in Company A is a hundred then what is the average salary of the employees in Company A ?

1. Rs.14000 2. Rs.16000 3. Rs.13000 4. Rs.15000 5. Rs.15500

3.What is the ratio of tax paid by Company A to that by Company B ?

1. 35:18 2. 34:37 3. 42:41 4. 31:27 5. 27:25

4.What is the difference between the expenditure on employees of Company B and that of Company A?

1.Rs.4300000 2. Rs.6400000 3. Rs.5900000 4. Rs.8700000 5.Rs.7800000

5.The expenditure on Machine and Electricity of Company B is what per cent more than that on the same item of Company A?

1. 67% 2. 84% 3. 75% 4. 77% 5. 80%

Answer

1. Answer : 3

Explanation : Expenditure of Company B = 60 lakh

Income of Company B = $60 \times \frac{180}{100}$ = 108 lakh = 1 crore 8 lakh

Income of Company A = $10800000 \times \frac{4}{5}$ = Rs. 8640000

Therefore, Required differeence = 10800000 - 8640000 = Rs.2160000

2. Answer : 1

Explanation : Total expenditure on the employees of company A = $5000000 \times \frac{28}{100}$ = Rs.1400000

Average Salary of the employees = $\frac{1400000}{100}$ = Rs.14000

3. Answer : 1

Explanation : Tax paid by Company A : Tax paid by Company B

= $5000000 \times \frac{14}{100}$ : $6000000 \times \frac{6}{100}$

= 700000 : 3600000 = 35 : 18

4. Answer : 2

Explanation : Difference = $6000000 \times \frac{34}{100} - 5000000 \times \frac{28}{100}$

= 2040000 - 1400000 = Rs.640000

5. Answer : 5

Explanation : Expenditure on Machine and Electricity of Company B = $6000000 \times \frac{18}{100}$ = Rs.1080000 = 10.8 lakh

Expenditure on Machine and Electricity of Company A = $5000000 \times \frac{12}{100}$ = Rs.600000 = 6 lakh

Therefore, Required % = $\frac{1080000 - 600000}{600000} \times 100$ % = $\frac{48}{60} \times 100$ % = 80%

Hence expenditure of Company B is 80% more than Company A.

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Subject: Pie Charts

Q:

Count the number of cubes in the given figure.

A) 130	B) 132
C) 138	D) 140

Answer & Explanation Answer: D) 140

Explanation:

In the figure, there are

5 columns containing 4 cubes each;

33 columns containing 3 cubes each;

9 columns containing 2 cubes each and 3 columns containing 1 cube each.

$∴$ Total Number of cubes = ( 5 x 4) + (33 x 3) + (9 x 2) + (3 x 1) = 20 + 99 + 18 + 3 = 140

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Filed Under: Cubes and Dice
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

Q:

Count the number of cubes in the given figure.

A) 45	B) 46
C) 48	D) 49

Answer & Explanation Answer: B) 46

Explanation:

In the figure, there are 21 columns containing 2 cubes each and 4 columns containing 1 cube each.

$∴$ Total number of cubes = (21 x 2) + (4 x 1) = 42 + 4 = 46.

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Filed Under: Cubes and Dice
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Q:

Count the number of cubes in the given figure.

A) 80	B) 87
C) 89	D) 90

Answer & Explanation Answer: C) 89

Explanation:

In the figure, there are 9 columns containing 5 cubes each, 7 columns containing 4 cubes each, 5 columns containing 3 cubes each and 1 column containing 1 cube.

$∴$ Total number of cubes = (9 x 5) + (7 x 4) + (5 x 3) + (1 x 1) = 89

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Filed Under: Cubes and Dice
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Q:

Count the number of cubes in the given figure.

A) 64	B) 66
C) 68	D) 70

Answer & Explanation Answer: C) 68

Explanation:

In the figure, there are 34 columns containing 2 cubes each.

$∴$ Total number cubes = (34 x 2) = 68

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Filed Under: Cubes and Dice
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Q:

Count the number of cubes in the given figure.

A) 8	B) 9
C) 12	D) 15

Answer & Explanation Answer: D) 15

Explanation:

Clearly, there are 4 columns containing 1 cube each, 4 columns containing 2 cubs each and 1 column containing 3 cubes.

Hence, there are (4 x 1) + (4 x 2) + (1 x 3) = 4 + 8 + 3 = 15 cubes in the given figure.

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Filed Under: Cubes and Dice

Q:

Determine the number of rectangles and hexagons in the following figure.

A) 30, 5	B) 32, 3
C) 28, 5	D) 30, 3

Answer & Explanation Answer: A) 30, 5

Explanation:

The figure may be labelled as shown

Rectangles :

The simplest rectangles are CVSR, VETS, RSWM and STKW i.e 4 in number.

The rectangles composed of two components each are CETR, VEKW, RTKM and CVWM i.e 4 in number.

The rectangles composed of three components each are ACRP, PRMO, EGHT and THIK i.e 4 in number.

The rectangles composed of four components each are CEKM, AVSP, PSWO,VGHS and SHIW i.e 5 in number.

The rectangles composed of five components each are AETP, PTKO, CGHR and RHIM i.e 4 in number.

The rectangles composed of six components each are ACMO and EGIK i.e 2 in number.

The rectangles composed of eight components each are AGHP, PHIO, AVWO and VGIW i.e 4 in number.

The rectangles composed of ten components each are AEKO and CGIM i.e 2 in number.

AGIO is the only rectangle having sixteen components

Total number of rectangles in the given figure = 4 + 4 + 4 + 5 + 4 + 2 + 4 + 2 + 1 = 30.

Hexagons :

The hexagons in the given figure are CDEKLM, CEUKMQ, CFHJMQ, BEUKNP and BFHJNP. So, there are 5 hexagons in the given figure.

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Filed Under: Analytical Reasoning
Exam Prep: AIEEE , Bank Exams , CAT
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