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Question 1 of 10
1. Question
1 pointsCategory: Quantitative AptitudeDirections (15): 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 = 7x4x = 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 = 7x4x = 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 AptitudeDirections (15): 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 AptitudeDirections (15): 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 = 4xx = 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 = 4xx = 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 AptitudeDirections (15): 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 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 onefourth 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 AptitudeDirections (15): 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 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 AptitudeDirections: (610) Piechart 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 = {(103) /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 = {(103) /13}*6500 = (7/13)*6500 = Rs. 3500 
Question 7 of 10
7. Question
1 pointsCategory: Quantitative AptitudeDirections: (610) Piechart 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 AptitudeDirections: (610) Piechart 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 = {(3212)/(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 = {(3212)/(80+12+32+75)}*19900 = (20/199)*19900 = 2000 
Question 9 of 10
9. Question
1 pointsCategory: Quantitative AptitudeDirections: (610) Piechart given below shows investment (in terms of percentage) out of total investment of five different persons. Study the questions carefully and answer them.
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% * (12x)
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% * (12x)
40*12 = 60*(12x)
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% * (12x)
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% * (12x)
40*12 = 60*(12x)
x = 4 
Question 10 of 10
10. Question
1 pointsCategory: Quantitative AptitudeDirections: (610) Piechart given below shows investment (in terms of percentage) out of total investment of five different persons. Study the questions carefully and answer them.
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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