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- Question 1 of 10
##### 1. Question

1 pointsCategory: Quantitative Aptitude**Directions (1-5): In each of the following questions, a question is followed by three statements 1, 2 and 3. Read all the statements to find the answer to given question and then answer accordingly that which statement/s can give the answer alone/together.****What is the distance between city M and city N?**

Statement 1: Two cars (car A and car B) started simultaneously from city M to city N with their speed in the ratio 7:4.

Statement 2: Car A reached city M three hours earlier than car B.

Statement 3: Difference between the speed of Car A and Car B is 60km/h.Correct**Answer: 3. All, 1, 2 and 3**

Explanation:

From (All, 1, 2 and 3)

Let the speed of car A and Car B be 7x km/h and 4x km/h respectively.

Difference between speed = 7x-4x = 3x

3x= 60km/h

x = 20km/h

4x = 4*20 = 80

7x = 7*20 = 140

Let the distance be D km

D/80 – D/140 = 3

D (60/80*140) = 3

D = (3*80*140/60)

D = 560 km/hIncorrect**Answer: 3. All, 1, 2 and 3**

Explanation:

From (All, 1, 2 and 3)

Let the speed of car A and Car B be 7x km/h and 4x km/h respectively.

Difference between speed = 7x-4x = 3x

3x= 60km/h

x = 20km/h

4x = 4*20 = 80

7x = 7*20 = 140

Let the distance be D km

D/80 – D/140 = 3

D (60/80*140) = 3

D = (3*80*140/60)

D = 560 km/h - Question 2 of 10
##### 2. Question

1 pointsCategory: Quantitative Aptitude**Directions (1-5): In each of the following questions, a question is followed by three statements 1, 2 and 3. Read all the statements to find the answer to given question and then answer accordingly that which statement/s can give the answer alone/together.****What is the rate of interest?**

Statement 1: S.I. achieved in 5 years in an amount at the same rate of interest is Rs. 8000

Statement 2: The amount after some years on S.I is Rs. 96000

Statement 3: Difference between C.I. and S.I. earned in two years on the same amount and at the same rate of interest is Rs. 160.Correct**Answer: 2. Only 1 and 3.**

Explanation:

From 1

(P*R*5)/100 = 8000

P*R = 160000

From 2

P + PRT/100 = 96000

From 3

(PR2/1002) = 160

Hence, by combining 1 and 3 rate of interest can be obtained (P and R can be obtained)Incorrect**Answer: 2. Only 1 and 3.**

Explanation:

From 1

(P*R*5)/100 = 8000

P*R = 160000

From 2

P + PRT/100 = 96000

From 3

(PR2/1002) = 160

Hence, by combining 1 and 3 rate of interest can be obtained (P and R can be obtained) - Question 3 of 10
##### 3. Question

1 pointsCategory: Quantitative Aptitude**Directions (1-5): In each of the following questions, a question is followed by three statements 1, 2 and 3. Read all the statements to find the answer to given question and then answer accordingly that which statement/s can give the answer alone/together.****How many players failed in physical test in the senior team?**

Statement 1: 36 players passed the physical test in the senior team.

Statement 2: No. of players failed the physical test in the senior team is equal to 80% of players who failed the physical test in the junior team.

Statement 3: Ratio of players appeared for the physical test in senior team to that of those who failed in physical test in the senior team is 4:1.Correct**Answer: 2. Only 1 and 3**

Explanation:

From 1 and 3

Let the of player appeared for physical test in senior team = 4x and number of player who failed the physical test in senior team = x

Number of player who passed the physical test in senior team = 4x-x = 3x

3x = 36

x = 12

The number of player who failed the physical test in senior team = x = 12Incorrect**Answer: 2. Only 1 and 3**

Explanation:

From 1 and 3

Let the of player appeared for physical test in senior team = 4x and number of player who failed the physical test in senior team = x

Number of player who passed the physical test in senior team = 4x-x = 3x

3x = 36

x = 12

The number of player who failed the physical test in senior team = x = 12 - Question 4 of 10
##### 4. Question

1 pointsCategory: Quantitative Aptitude**What is the sum of two numbers?**

Statement 1: The smaller number is 18 less than the bigger number.

Statement 2: 90% of the smaller number is equal to 60% of the bigger number.

Statement 3: The ratio between one – third of the smaller number and one-fourth of the bigger number is 1:3Correct**Answer: 2. 1 and 2 together or 1 and 3 together.**

Explanation:

From 1:

If smaller number is x, greater number is x+18

Target – To find the value of x

Form 1 and 2

(9/10)*x = (6/10)*(x+18)

9x = 6x + 6*18

x = 36

From 1 and 3

{(1/3)*x} : {(1/4)*(x+18)} = 1:3

{4x: 3*(x+18)} = 1:3

4x: (x+18) = 1:1

x = 6Incorrect**Answer: 2. 1 and 2 together or 1 and 3 together.**

Explanation:

From 1:

If smaller number is x, greater number is x+18

Target – To find the value of x

Form 1 and 2

(9/10)*x = (6/10)*(x+18)

9x = 6x + 6*18

x = 36

From 1 and 3

{(1/3)*x} : {(1/4)*(x+18)} = 1:3

{4x: 3*(x+18)} = 1:3

4x: (x+18) = 1:1

x = 6 - Question 5 of 10
##### 5. Question

1 pointsCategory: Quantitative Aptitude**What is the area of the circle?**

Statement 1: If the ratio of length and breadth of the rectangle is 5:3.

Statement 2: The perimeter of the rectangle is 400m and the radius of the circle is 1/5th of the length of the rectangle.

Statement 3: If length is 50% more than breadth.Correct**Answer: 1. 1 and 2 together or 2 and 3 together.**

Explanation:

From 1 and 2

Let the length of rectangle is 5x and breadth of rectangle is 3x

2*(5x+3x) = 400

8x = 200

x = 25

length of rectangle = 5*25 = 125

breadth of rectangle = 3*25 = 75

radius of circle = (1/5)*125 = 25

Hence, Area of circle can be obtained.

From 2 and 3

Let the length is 3x and breadth is 2x

2*(3x+2x) = 400

5x = 200

x = 40

length of rectangle = 3*40 = 120

Breadth of rectangle = 2*40 = 80

Radius of circle = (1/5)*120 = 24

Hence, Area of circle can be obtained.Incorrect**Answer: 1. 1 and 2 together or 2 and 3 together.**

Explanation:

From 1 and 2

Let the length of rectangle is 5x and breadth of rectangle is 3x

2*(5x+3x) = 400

8x = 200

x = 25

length of rectangle = 5*25 = 125

breadth of rectangle = 3*25 = 75

radius of circle = (1/5)*125 = 25

Hence, Area of circle can be obtained.

From 2 and 3

Let the length is 3x and breadth is 2x

2*(3x+2x) = 400

5x = 200

x = 40

length of rectangle = 3*40 = 120

Breadth of rectangle = 2*40 = 80

Radius of circle = (1/5)*120 = 24

Hence, Area of circle can be obtained. - Question 6 of 10
##### 6. Question

1 pointsCategory: Quantitative Aptitude**Directions: (6-10) Pie-chart given below shows investment (in terms of percentage) out of total investment of five different persons. Study the questions carefully and answer them.**

**A started a business alone and C joined the business 6 months after starting of business. Find the difference between the profit shares of A and C if the total annual profit is Rs. 6500.**Correct**Answer: 4. Rs. 3500**

Explanation:

Investment of A = 25% of 64000 = 16000

Investment of C = 15% of 64000 = 9600

Investment*time of investment

A = 16000*12

C = 9600*6

Ratio = (16000*12): (9600*6) = 10:3

Hence, profit will also be shared in the same ratio

Difference of profit = {(10-3) /13}*6500 = (7/13)*6500 = Rs. 3500Incorrect**Answer: 4. Rs. 3500**

Explanation:

Investment of A = 25% of 64000 = 16000

Investment of C = 15% of 64000 = 9600

Investment*time of investment

A = 16000*12

C = 9600*6

Ratio = (16000*12): (9600*6) = 10:3

Hence, profit will also be shared in the same ratio

Difference of profit = {(10-3) /13}*6500 = (7/13)*6500 = Rs. 3500 - Question 7 of 10
##### 7. Question

1 pointsCategory: Quantitative Aptitude**Directions: (6-10) Pie-chart given below shows investment (in terms of percentage) out of total investment of five different persons. Study the questions carefully and answer them.**

**B and D started a business together. B left the business after 2 months and C joined with D when B left. At the end of the year, the total profit received is Rs. 5300. Find the total profit of B and C.**Correct**Answer: 2. Rs. 1700**

Explanation:

Investment of B = 10% of 64000 = 6400

Investment of C = 15% of 64000 = 9600

Investment of D = 30% of 64000 = 19200

Investment*time of investment of B: Investment*time of investment of C: Investment*time of investment of D

6400*2: 9600*10: 19200*12

2:15:36

Total profit of B and C = {(2+15)/(2+15+36)}* 5300 = (17/53)*5300 = 1700Incorrect**Answer: 2. Rs. 1700**

Explanation:

Investment of B = 10% of 64000 = 6400

Investment of C = 15% of 64000 = 9600

Investment of D = 30% of 64000 = 19200

Investment*time of investment of B: Investment*time of investment of C: Investment*time of investment of D

6400*2: 9600*10: 19200*12

2:15:36

Total profit of B and C = {(2+15)/(2+15+36)}* 5300 = (17/53)*5300 = 1700 - Question 8 of 10
##### 8. Question

1 pointsCategory: Quantitative Aptitude**Directions: (6-10) Pie-chart given below shows investment (in terms of percentage) out of total investment of five different persons. Study the questions carefully and answer them.**

**A, C, E and F started a business together. F invested Rs. 2200 more than the amount invested by E. C left the business after 3 months of starting the business. After 3 more months, E left the business. If the total annual profit achieved by all three together is Rs.19900. Find the difference in the profits of C and E.**Correct**Answer: 1. Rs. 2000**

Explanation:

Investment of A = 25% of 64000 = 16000

Investment of C = 15% of 64000 = 9600

Investment of E = 20% of 64000 = 12800

Investment of F = 12800 + 2200 = 15000

Investment * time of investment of A = 16000*12

Investment* time of investment of C = 9600*3

Investment * time of investment of E = 12800*6

Investment* time of investment of F = 15000*12

Ratios: Investment*Time of investment of (A, C, E, F)

16000*12:9600*3:12800*6:15000*12

160*4:96:128*2:150*4

80:12:32:75

Difference between the profit of C and E = {(32-12)/(80+12+32+75)}*19900 = (20/199)*19900 = 2000Incorrect**Answer: 1. Rs. 2000**

Explanation:

Investment of A = 25% of 64000 = 16000

Investment of C = 15% of 64000 = 9600

Investment of E = 20% of 64000 = 12800

Investment of F = 12800 + 2200 = 15000

Investment * time of investment of A = 16000*12

Investment* time of investment of C = 9600*3

Investment * time of investment of E = 12800*6

Investment* time of investment of F = 15000*12

Ratios: Investment*Time of investment of (A, C, E, F)

16000*12:9600*3:12800*6:15000*12

160*4:96:128*2:150*4

80:12:32:75

Difference between the profit of C and E = {(32-12)/(80+12+32+75)}*19900 = (20/199)*19900 = 2000 - Question 9 of 10
##### 9. Question

1 pointsCategory: Quantitative Aptitude

**If A and C together started a business and after “x” months B, D and E joined them. If at the end the sum of the annual profit of A and C is equal to the sum of the annual profit of B, D and E. Find the value of ‘x’.**Correct**Answer: 1 . 4**

Explanation:

Investment (A+C) = 25%+15% = 40%

Investment* time of A and C = 40% *12

Investment (B+D+E) = (10+20+30)% = 60%

Investment * time of B, D and E = 60% * (12-x)

At the end the sum of annual profit of A and C is equal to the sum of annual profit of B, D and E.

Therefore,

Investment (A+C)* time of A and C = Investment (B+D+E)* time of B, D and E

40% *12 = 60% * (12-x)

40*12 = 60*(12-x)

x = 4Incorrect**Answer: 1 . 4**

Explanation:

Investment (A+C) = 25%+15% = 40%

Investment* time of A and C = 40% *12

Investment (B+D+E) = (10+20+30)% = 60%

Investment * time of B, D and E = 60% * (12-x)

At the end the sum of annual profit of A and C is equal to the sum of annual profit of B, D and E.

Therefore,

Investment (A+C)* time of A and C = Investment (B+D+E)* time of B, D and E

40% *12 = 60% * (12-x)

40*12 = 60*(12-x)

x = 4 - Question 10 of 10
##### 10. Question

1 pointsCategory: Quantitative Aptitude

**A and another person F whose investment is 25% of the investment of A were together in business for 3 years. Now, C joined them and they together were in the business for 2 more years. The ratio of profits received by A, F and C is**Correct**Answer: 3. 100:25:24 respectively.**

Explanation:

Investment of A = 25% of 64000 = 16000

Investment of F = 25% of 16000 = 4000

Investment of C = 15% of 64000= 9600

Ratio of profits

Investment* time of A: investment* time of F: investment* time of C

16000*5: 4000*5: 9600*2

100:25:24Incorrect**Answer: 3. 100:25:24 respectively.**

Explanation:

Investment of A = 25% of 64000 = 16000

Investment of F = 25% of 16000 = 4000

Investment of C = 15% of 64000= 9600

Ratio of profits

Investment* time of A: investment* time of F: investment* time of C

16000*5: 4000*5: 9600*2

100:25:24

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