Quantitative Aptitude – Arithmetic – Mixtures – Consider three mixtures

Quantitative Aptitude – Arithmetic – Mixtures

Question

CAT 2017 - Afternoon slot - Quantitative Aptitude - Arithmetic - Mixtures - Consider three mixtures
Consider three mixtures – the first having water and liquid A in the ratio 1 : 2, the second having water and liquid B in the ratio 1 : 3, and the third having water and liquid C in the ratio 1 : 4. These three mixtures of A, B, and C, respectively, are further mixed in the proportion 4:3:2. Then the resulting mixture has

A) The same amount of water and liquid B
B) The same amount of liquids B and C
C) More water than liquid B
D) More water than liquid A

Answer

Option (C)

Solution

From CAT 2017 – Quantitative Aptitude – Arithmetic – Mixtures, we can see that,
Ratio of water in 1st mixture = 1/3
Ratio of A in 1st mixture = 2/3
Ratio of water in 2nd mixture = 1/4
Ratio of B in 2nd mixture = 3/4
Ratio of water in 3rd mixture = 1/5
Ratio of C in 3rd mixture = 4/5
The mixtures are divided in the ratio 4:3:2
So, water according to this composition = 4/9 * 1/3 + 3/9 * 1/4 + 2/9 * 1/5 = 149/540 = 0.27
Solution A in the composition = 4/9 * 2/3 = 8/27 = 0.29
Solution B in the composition = 3/9 * 3/4 = 9/36 = 0.25
Solution C in the composition = 2/9 * 4/5 = 8/45 = 0.17
We can see that Option C is correct

Download CAT 2017 Question Paper with answers and detailed solutions in PDF

CAT 2017 Questions from Quantitative Aptitude – Arithmetic

Quantitative Aptitude – Arithmetic – Mixtures – Ques: Bottle 1 contains a mixture of milk and water in 7 : 2 ratio and Bottle 2 contains a mixture of milk and water in 9 : 4 ratio.
Quantitative Aptitude – Arithmetic – Time and Work – Q1: Amal can complete a job in 10 days and Bimal can complete it in 8 days.
Quantitative Aptitude – Arithmetic – Time and Work – Q2: A person can complete a job in 120 days. He works alone on Day 1.
On Day 2, he is joined by another person who also can complete the job in exactly 120 days.
Quantitative Aptitude – Arithmetic – Time, Speed and Distance
Quantitative Aptitude – Arithmetic – Percentages
Quantitative Aptitude – Arithmetic – Profit and Loss
Quantitative Aptitude – Arithmetic – Pipes and Cisterns – Ques: A tank has an inlet pipe and an outlet pipe. If the outlet pipe is closed then the inlet pipe fills the empty tank in 8 hours.
Quantitative Aptitude – Arithmetic – Averages
Quantitative Aptitude – Arithmetic – Ratios

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Quantitative Aptitude – Arithmetic – Mixtures – Consider three mixtures
5 (100%) 52 votes

Quantitative Aptitude – Arithmetic – Time and Work – Amal can complete a job in 10

Quantitative Aptitude – Arithmetic – Time and Work

Question

CAT 2017 - Afternoon slot - Quantitative Aptitude - Arithmetic - Time and Work - Amal can complete a job in 10
Amal can complete a job in 10 days and Bimal can complete it in 8 days. Amal, Bimal and Kamal together complete the job in 4 days and are paid a total amount of Rs 1000 as remuneration. If this amount is shared by them in proportion to their work, then Kamal’s share, in rupees, is

A) 100
B) 200
C) 300
D) 400

Answer

Option (A)

Solution

From CAT 2017 – Quantitative Aptitude – Arithmetic – Time and Work, we can see that,
Amount of work done by Amal in 1 day = 1/10
Amount of work done by Bimal in 1 day = 1/8
Amount of work done by Kamal in 1 day = 1/k
All of them together can complete a work in 4 days. So,
1/10 + 1/8 + 1/k = ¼
On solving, we get, k = 40
Ration of work done by them = 1/10: 1/8: 1/40 = 4:5:1
Ratio of work done by Kamal = 1/10
Amount received by Kamal = 1000/10 = 100
Option (A)

Download CAT 2017 Question Paper with answers and detailed solutions in PDF

CAT 2017 Questions from Quantitative Aptitude – Arithmetic

Quantitative Aptitude – Arithmetic – Mixtures – Q1 : Consider three mixtures – the first having water and liquid A in the ratio 1 : 2, the second having water and liquid B in the ratio 1 : 3, and the third having water and liquid C in the ratio 1 : 4.
Quantitative Aptitude – Arithmetic – Mixtures – Q2: Bottle 1 contains a mixture of milk and water in 7 : 2 ratio and Bottle 2 contains a mixture of milk and water in 9 : 4 ratio.
Quantitative Aptitude – Arithmetic – Time and Work – Ques: A person can complete a job in 120 days. He works alone on Day 1.
On Day 2, he is joined by another person who also can complete the job in exactly 120 days.
Quantitative Aptitude – Arithmetic – Time, Speed and Distance
Quantitative Aptitude – Arithmetic – Percentages
Quantitative Aptitude – Arithmetic – Profit and Loss
Quantitative Aptitude – Arithmetic – Pipes and Cisterns – Ques: A tank has an inlet pipe and an outlet pipe. If the outlet pipe is closed then the inlet pipe fills the empty tank in 8 hours.
Quantitative Aptitude – Arithmetic – Averages
Quantitative Aptitude – Arithmetic – Ratios

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Quantitative Aptitude – Arithmetic – Time and Work – Amal can complete a job in 10
5 (100%) 53 votes

Quantitative Aptitude – Arithmetic – TSD – A motorbike leaves point A

Quantitative Aptitude – Arithmetic – Time Speed and Distance

Question

CAT 2017 - Afternoon slot - Quantitative Aptitude - Arithmetic - TSD - A motorbike leaves point A
A motorbike leaves point A at 1 pm and moves towards point B at a uniform speed. A car leaves point B at 2 pm and moves towards point A at a uniform speed which is double that of the motorbike. They meet at 3:40 pm at a point which is 168 km away from A. What is the distance, in km, between A and B?

A) 364
B) 378
C) 380
D) 388

Answer

Option (B)

Solution

From CAT 2017 – Quantitative Aptitude – Arithmetic – Time Speed and Distance, we can see that,
Speed of motorbike = s
Speed of car = 2s
Distance covered by motorbike in 1 hr = s km
Motorbike takes 2hrs 40 mins to reach the point where both car and motorbike meet.
In 2 hrs 40 mins, motorbike will cover a distance of 8s/3 = 168. So, s = 63
Since, speed of car is double than motorbike. So,
Distance covered by car in 1 hr 40 mins = 2 * Distance covered by motorbike in 1 hr 40 mins
Distance covered by motorbike in 1 hr 40 mins = 105 km
Distance covered by car in 1 hr 40 mins = 210 km
So, total distance = 168 + 210 = 378 km

Download CAT 2017 Question Paper with answers and detailed solutions in PDF

CAT 2017 Questions from Quantitative Aptitude – Arithmetic

Quantitative Aptitude – Arithmetic – Time, Speed and Distance – Q1: Arun drove from home to his hostel at 60 miles per hour. While returning home he drove halfway along the same route at a speed of 25 miles per hour
Quantitative Aptitude – Arithmetic – Time, Speed and Distance – Q2: In a 10 km race. A, B,and C, each running at uniform speed, get the gold, silver, and bronze medals, respectively. If A beats B by 1 km and B beats C by 1 km, then by how many metres does A beat C?
Quantitative Aptitude – Arithmetic – Time, Speed and Distance – Q3: A man travels by a motor boat down a river to his office and back. With the speed of the river unchanged, if he doubles the speed of his motor boat, then his total travel time gets reduced by 75%.
Quantitative Aptitude – Arithmetic – Time, Speed and Distance – Q4: A man leaves his home and walks at a speed of 12 km per hour, reaching the railway station 10 minutes after the train had departed.
Quantitative Aptitude – Arithmetic – Mixtures – Q1 : Consider three mixtures – the first having water and liquid A in the ratio 1 : 2, the second having water and liquid B in the ratio 1 : 3, and the third having water and liquid C in the ratio 1 : 4.
Quantitative Aptitude – Arithmetic – Mixtures – Q2: Bottle 1 contains a mixture of milk and water in 7 : 2 ratio and Bottle 2 contains a mixture of milk and water in 9 : 4 ratio.
Quantitative Aptitude – Arithmetic – Time and Work – Q1: Amal can complete a job in 10 days and Bimal can complete it in 8 days. Amal, Bimal and Kamal together complete the job in 4 days and are paid a total amount of Rs 1000 as remuneration.
>Quantitative Aptitude – Arithmetic – Time and Work – Q2: A person can complete a job in 120 days. He works alone on Day 1. On Day 2, he is joined by another person who also can complete the job in exactly 120 days.
Quantitative Aptitude – Arithmetic – Percentages
Quantitative Aptitude – Arithmetic – Profit and Loss
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Quantitative Aptitude – Arithmetic – TSD – A motorbike leaves point A
5 (100%) 51 votes

Quantitative Aptitude – Arithmetic – Percentages – In a village, the production

Quantitative Aptitude – Arithmetic – Percentages

Question

CAT 2017 - Afternoon slot - Quantitative Aptitude - Arithmetic - Percentages - In a village, the production
In a village, the production of food grains increased by 40% and the per capita production of food grains increased by 27% during a certain period. The percentage by which the population of the village increased during the same period is nearest to

A) 16
B) 13
C) 10
D) 7

Answer

Option (C)

Solution

From CAT 2017 – Quantitative Aptitude – Arithmetic – Percentages, we can see that,
The total production of food grains (Initial) = t
The total production of food grains (Final) = t’ = 1.4t
Population (Initial) = n
Population (Final) = n’
Per capita food production (Initial) = t/n
Per capita food production (Final) = t’/n’ = 1.4t/n’
1.4t/n’ = t/n
=> n’ = 140n/127
Population increased by [(140n/127 – n)/n] * 100 = 10% (Approximately)
Option C is the right answer.

Download CAT 2017 Question Paper with answers and detailed solutions in PDF

CAT 2017 Questions from Quantitative Aptitude – Arithmetic

Quantitative Aptitude – Arithmetic – Percentages – Q1: Out of the shirts produced in a factory, 15% are defective, while 20% of the rest are sold in the domestic market. If the remaining 8840 shirts are left for export, then the number of shirts produced in the factory is
Quantitative Aptitude – Arithmetic – Percentages – Q2: The number of girls appearing for an admission test is twice the number of boys. If 30% of the girls and 45% of the boys get admission, the percentage of candidates who do not get admission is
Quantitative Aptitude – Arithmetic – Percentages – Q3: Ravi invests 50% of his monthly savings in fixed deposits. Thirty percent of the rest of hi√√s savings is invested in stocks and the rest goes into Ravi’s savings bank account.
Quantitative Aptitude – Arithmetic – Mixtures – Q1 : Consider three mixtures – the first having water and liquid A in the ratio 1 : 2, the second having water and liquid B in the ratio 1 : 3, and the third having water and liquid C in the ratio 1 : 4.
Quantitative Aptitude – Arithmetic – Mixtures – Q2: Bottle 1 contains a mixture of milk and water in 7 : 2 ratio and Bottle 2 contains a mixture of milk and water in 9 : 4 ratio.
Quantitative Aptitude – Arithmetic – Time and Work – Q1: Amal can complete a job in 10 days and Bimal can complete it in 8 days. Amal, Bimal and Kamal together complete the job in 4 days and are paid a total amount of Rs 1000 as remuneration.
Quantitative Aptitude – Arithmetic – Time and Work – Q2: A person can complete a job in 120 days. He works alone on Day 1. On Day 2, he is joined by another person who also can complete the job in exactly 120 days.
Quantitative Aptitude – Arithmetic – Time, Speed and Distance
Quantitative Aptitude – Arithmetic – Profit and Loss
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Quantitative Aptitude – Arithmetic – Percentages – In a village, the production
5 (100%) 51 votes

Quantitative Aptitude – Arithmetic – Profit and Loss – Mayank buys some candies

Quantitative Aptitude – Arithmetic – Profit and Loss

Question

CAT 2017 - Afternoon slot - Quantitative Aptitude - Arithmetic - Profit and Loss - Mayank buys some candies
Mayank buys some candies for Rs 15 a dozen and an equal number of different candies for Rs 12 a dozen. He sells all for Rs 16.50 a dozen and makes a profit of Rs 150. How many dozens of candies did he buy altogether?

A) 50
B) 30
C) 25
D) 45

Answer

Option (A)

Solution

From CAT 2017 – Quantitative Aptitude – Arithmetic – Profit and Loss, we can see that,
Number of candies he bought of type 1 = n
Number of candies he bought of type 2 = n
Total candies = 2n
SP = 16.5 * 2n =33n
CP = 12n +15n = 27n
Profit = SP-CP = 6n = 150
n = 25
Total candies = 2n = 50
Option (A)

Download CAT 2017 Question Paper with answers and detailed solutions in PDF

CAT 2017 Questions from Quantitative Aptitude – Arithmetic

Quantitative Aptitude – Arithmetic – Profit and Loss – Q1: The manufacturer of a table sells it to a wholesale dealer at a profit of 10%. The wholesale dealer sells the table to a retailer at a profit of 30%.
Quantitative Aptitude – Arithmetic – Profit and Loss – Q2: If Fatima sells 60 identical toys at a 40% discount on the printed price, then she makes 20% profit. Ten of these toys are destroyed in fire.
Quantitative Aptitude – Arithmetic – Profit and Loss – Q3: In a market, the price of medium quality mangoes is half that of good mangoes.
Quantitative Aptitude – Arithmetic – Profit and Loss – Q4: If a seller gives a discount of 15% on retail price, she still makes a profit of 2%. Which of the following ensures that she makes a profit of 20%?
Quantitative Aptitude – Arithmetic – Mixtures – Q1 : Consider three mixtures – the first having water and liquid A in the ratio 1 : 2, the second having water and liquid B in the ratio 1 : 3, and the third having water and liquid C in the ratio 1 : 4.
Quantitative Aptitude – Arithmetic – Mixtures – Q2: Bottle 1 contains a mixture of milk and water in 7 : 2 ratio and Bottle 2 contains a mixture of milk and water in 9 : 4 ratio.
Quantitative Aptitude – Arithmetic – Time and Work – Q1: Amal can complete a job in 10 days and Bimal can complete it in 8 days. Amal, Bimal and Kamal together complete the job in 4 days and are paid a total amount of Rs 1000 as remuneration.
Quantitative Aptitude – Arithmetic – Time and Work – Q2: A person can complete a job in 120 days. He works alone on Day 1. On Day 2, he is joined by another person who also can complete the job in exactly 120 days.
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Quantitative Aptitude – Arithmetic – Percentages
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Quantitative Aptitude – Arithmetic – Profit and Loss – Mayank buys some candies
5 (100%) 54 votes

Quantitative Aptitude – Arithmetic – Pipes and Cisterns – A tank has an inlet pipe

Quantitative Aptitude – Arithmetic – Pipes and Cisterns

Question

CAT 2017 - Afternoon slot - Quantitative Aptitude - Arithmetic - Pipes and Cisterns - A tank has an inlet pipe
A tank has an inlet pipe and an outlet pipe. If the outlet pipe is closed then the inlet pipe fills the empty tank in 8 hours. If the outlet pipe is open then the inlet pipe fills the empty tank in 10 hours. If only the outlet pipe is open then in how many hours the full tank becomes half-full?

A) 20
B) 30
C) 40
D) 45

Answer

Option (A)

Solution

From CAT 2017 – Quantitative Aptitude – Arithmetic – Pipes and Cisterns, we can see that,
The time in which inlet pipe can fill tank (a) = 8 hrs
Time in which outlet pipe can empty the tank = b
1/a – 1/b = 1/10
On solving, we get b = 40 hrs
Half of the tank will be empty when b=20 hrs

Download CAT 2017 Question Paper with answers and detailed solutions in PDF

CAT 2017 Questions from Quantitative Aptitude – Arithmetic

Quantitative Aptitude – Arithmetic – Mixtures – Q1 : Consider three mixtures – the first having water and liquid A in the ratio 1 : 2, the second having water and liquid B in the ratio 1 : 3, and the third having water and liquid C in the ratio 1 : 4.
Quantitative Aptitude – Arithmetic – Mixtures – Q2: Bottle 1 contains a mixture of milk and water in 7 : 2 ratio and Bottle 2 contains a mixture of milk and water in 9 : 4 ratio.
Quantitative Aptitude – Arithmetic – Time and Work – Q1: Amal can complete a job in 10 days and Bimal can complete it in 8 days. Amal, Bimal and Kamal together complete the job in 4 days and are paid a total amount of Rs 1000 as remuneration.
Quantitative Aptitude – Arithmetic – Time and Work – Q2: A person can complete a job in 120 days. He works alone on Day 1. On Day 2, he is joined by another person who also can complete the job in exactly 120 days.
Quantitative Aptitude – Arithmetic – Time, Speed and Distance
Quantitative Aptitude – Arithmetic – Percentages
Quantitative Aptitude – Arithmetic – Profit and Loss
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Quantitative Aptitude – Arithmetic – Ratios

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Quantitative Aptitude – Arithmetic – Pipes and Cisterns – A tank has an inlet pipe
5 (100%) 52 votes

Quantitative Aptitude – Arithmetic – Profit and Loss – The manufacturer of a table

Quantitative Aptitude – Arithmetic – Profit and Loss

Question

CAT 2017 - Afternoon slot - Quantitative Aptitude - Arithmetic - Profit and Loss - The manufacturer of a table
The manufacturer of a table sells it to a wholesale dealer at a profit of 10%. The wholesale dealer sells the table to a retailer at a profit of 30%. Finally, the retailer sells it to a customer at a profit of 50%. If the customer pays Rs 4290 for the table, then its manufacturing cost (in Rs) is

A) 1500
B) 2000
C) 2500
D) 3000

Answer

Option (B)

Solution

From CAT 2017 – Quantitative Aptitude – Arithmetic – Profit and Loss, we can see that,
Cost Price (CP) of manufacturer = CP
Selling Price(SP) of manufacturer = 1.1CP = CP (Dealer)
SP (Dealer) = 1.3 * 1.1 CP = CP (Retailer)
SP (Retailer) = 1.5 * 1.3 * 1.1 CP = CP (Customer)
It is given that,
1.5 * 1.3 * 1.1 CP = 4290
On solving, we get, CP = 2000
Option (B)

Download CAT 2017 Question Paper with answers and detailed solutions in PDF

CAT 2017 Questions from Quantitative Aptitude – Arithmetic

Quantitative Aptitude – Arithmetic – Profit and Loss – Q1: Mayank buys some candies for Rs 15 a dozen and an equal number of different candies for Rs 12 a dozen.
Quantitative Aptitude – Arithmetic – Profit and Loss – Q2: If Fatima sells 60 identical toys at a 40% discount on the printed price, then she makes 20% profit. Ten of these toys are destroyed in fire.
Quantitative Aptitude – Arithmetic – Profit and Loss – Q3: In a market, the price of medium quality mangoes is half that of good mangoes.
Quantitative Aptitude – Arithmetic – Profit and Loss – Q4: If a seller gives a discount of 15% on retail price, she still makes a profit of 2%. Which of the following ensures that she makes a profit of 20%?
Quantitative Aptitude – Arithmetic – Mixtures – Q1 : Consider three mixtures – the first having water and liquid A in the ratio 1 : 2, the second having water and liquid B in the ratio 1 : 3, and the third having water and liquid C in the ratio 1 : 4.
Quantitative Aptitude – Arithmetic – Mixtures – Q2: Bottle 1 contains a mixture of milk and water in 7 : 2 ratio and Bottle 2 contains a mixture of milk and water in 9 : 4 ratio.
Quantitative Aptitude – Arithmetic – Time and Work – Q1: Amal can complete a job in 10 days and Bimal can complete it in 8 days. Amal, Bimal and Kamal together complete the job in 4 days and are paid a total amount of Rs 1000 as remuneration.
Quantitative Aptitude – Arithmetic – Time and Work – Q2: A person can complete a job in 120 days. He works alone on Day 1. On Day 2, he is joined by another person who also can complete the job in exactly 120 days.
Quantitative Aptitude – Arithmetic – Time, Speed and Distance
Quantitative Aptitude – Arithmetic – Percentages
Quantitative Aptitude – Arithmetic – Pipes and Cisterns – Ques: A tank has an inlet pipe and an outlet pipe. If the outlet pipe is closed then the inlet pipe fills the empty tank in 8 hours.
Quantitative Aptitude – Arithmetic – Averages
Quantitative Aptitude – Arithmetic – Ratios

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Quantitative Aptitude – Arithmetic – Profit and Loss – The manufacturer of a table
5 (100%) 51 votes

Quantitative Aptitude – Arithmetic – Averages – The average height of 22 toddlers

Quantitative Aptitude – Arithmetic – Averages

Question

CAT 2017 - Afternoon slot - Quantitative Aptitude - Arithmetic - Averages - The average height of 22 toddlers
The average height of 22 toddlers increases by 2 inches when two of them leave this group. If the average height of these two toddlers is one-third the average height of the original 22, then the average height, in inches, of the remaining 20 toddlers is

A) 30
B) 28
C) 32
D) 26

Answer

Option (C)

Solution

From CAT 2017 – Quantitative Aptitude – Arithmetic – Averages, we can see that,
Average of 22 people = a/22
Let sum of heights of two people who left = x
From the question,
(a-x)/20 = a/22 + 2
On solving, we get x=a/33
Putting value of x in a, we get the value of a as 660
x=20
Average height of remaining 20 toddlers = (a-x)/20 = 32

Download CAT 2017 Question Paper with answers and detailed solutions in PDF

CAT 2017 Questions from Quantitative Aptitude – Arithmetic

Quantitative Aptitude – Arithmetic – Averages – Ques: A class consists of 20 boys and 30 girls. In the mid-semester examination, the average score of the girls was 5 higher than that of the boys.
Quantitative Aptitude – Arithmetic – Mixtures – Q1 : Consider three mixtures – the first having water and liquid A in the ratio 1 : 2, the second having water and liquid B in the ratio 1 : 3, and the third having water and liquid C in the ratio 1 : 4.
Quantitative Aptitude – Arithmetic – Mixtures – Q2: Bottle 1 contains a mixture of milk and water in 7 : 2 ratio and Bottle 2 contains a mixture of milk and water in 9 : 4 ratio.
Quantitative Aptitude – Arithmetic – Time and Work – Q1: Amal can complete a job in 10 days and Bimal can complete it in 8 days. Amal, Bimal and Kamal together complete the job in 4 days and are paid a total amount of Rs 1000 as remuneration.
Quantitative Aptitude – Arithmetic – Time and Work – Q2: A person can complete a job in 120 days. He works alone on Day 1. On Day 2, he is joined by another person who also can complete the job in exactly 120 days.
Quantitative Aptitude – Arithmetic – Time, Speed and Distance
Quantitative Aptitude – Arithmetic – Percentages
Quantitative Aptitude – Arithmetic – Profit and Loss
Quantitative Aptitude – Arithmetic – Pipes and Cisterns: A tank has an inlet pipe and an outlet pipe. If the outlet pipe is closed then the inlet pipe fills the empty tank in 8 hours.
Quantitative Aptitude – Arithmetic – Ratios

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Quantitative Aptitude – Arithmetic – Averages – The average height of 22 toddlers
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Quantitative Aptitude – Arithmetic – Percentages – Out of the shirts produced

Quantitative Aptitude – Arithmetic – Percentages

Question

CAT 2017 - Afternoon slot - Quantitative Aptitude - Arithmetic - TSD - Arun drove from home to his hostel
Out of the shirts produced in a factory, 15% are defective, while 20% of the rest are sold in the domestic market. If the remaining 8840 shirts are left for export, then the number of shirts produced in the factory is

A) 13600
B) 13000
C) 13400
D) 14000

Answer

Option (B)

Solution

From CAT 2017 – Quantitative Aptitude – Arithmetic – Percentages, we can see that,
No of shirts = n
Defective shirts = 0.15n
Remaining shirts = 0.85n
Sold in domestic market = 0.2 * 0.85 n
Export = 0.8 * 0.85n = 0.68n = 8840
n=13000
Option (B)

Download CAT 2017 Question Paper with answers and detailed solutions in PDF

CAT 2017 Questions from Quantitative Aptitude – Arithmetic

Quantitative Aptitude – Arithmetic – Percentages – Q1: In a village, the production of food grains increased by 40% and the per capita production of food grains increased by 27% during a certain period.
Quantitative Aptitude – Arithmetic – Percentages – Q2: The number of girls appearing for an admission test is twice the number of boys. If 30% of the girls and 45% of the boys get admission, the percentage of candidates who do not get admission is
Quantitative Aptitude – Arithmetic – Percentages – Q3: Ravi invests 50% of his monthly savings in fixed deposits. Thirty percent of the rest of hi√√s savings is invested in stocks and the rest goes into Ravi’s savings bank account.
Quantitative Aptitude – Arithmetic – Mixtures – Q1 : Consider three mixtures – the first having water and liquid A in the ratio 1 : 2, the second having water and liquid B in the ratio 1 : 3, and the third having water and liquid C in the ratio 1 : 4.
Quantitative Aptitude – Arithmetic – Mixtures – Q2: Bottle 1 contains a mixture of milk and water in 7 : 2 ratio and Bottle 2 contains a mixture of milk and water in 9 : 4 ratio.
Quantitative Aptitude – Arithmetic – Time and Work – Q1: Amal can complete a job in 10 days and Bimal can complete it in 8 days. Amal, Bimal and Kamal together complete the job in 4 days and are paid a total amount of Rs 1000 as remuneration.
Quantitative Aptitude – Arithmetic – Time and Work – Q2: A person can complete a job in 120 days. He works alone on Day 1. On Day 2, he is joined by another person who also can complete the job in exactly 120 days.
Quantitative Aptitude – Arithmetic – Time, Speed and Distance
Quantitative Aptitude – Arithmetic – Profit and Loss
Quantitative Aptitude – Arithmetic – Pipes and Cisterns – Ques: A tank has an inlet pipe and an outlet pipe. If the outlet pipe is closed then the inlet pipe fills the empty tank in 8 hours.
Quantitative Aptitude – Arithmetic – Averages
Quantitative Aptitude – Arithmetic – Ratios

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Quantitative Aptitude – Arithmetic – Percentages – Out of the shirts produced
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Quantitative Aptitude – Arithmetic – TSD – Arun drove from home to his hostel

Quantitative Aptitude – Arithmetic – Time Speed Distance

Question

CAT 2017 - Afternoon slot - Quantitative Aptitude - Arithmetic - TSD - Arun drove from home to his hostel
Arun drove from home to his hostel at 60 miles per hour. While returning home he drove halfway along the same route at a speed of 25 miles per hour and then took a bypass road which increased his driving distance by 5 miles, but allowed him to drive at 50 miles per hour along this bypass road. If his return journey took 30 minutes more than his onward journey, then the total distance traveled by him is

A) 55 miles
B) 60 miles
C) 65 miles
D) 70 miles

Answer

Option (C)

Solution

From CAT 2017 – Quantitative Aptitude – Arithmetic – Time Speed and Distance, we can see that,
Let distance from home to hostel be d.
Time taken to go from home to hostel = d/60
Time taken to drive at 25 miles from hostel to home = d/25
Time to drive through bypass = (d/2 + 5)/50
Total time taken from hostel to home = d/25 + (d/2 + 5)/50
According to the question,
d/25 + (d/2 + 5)/50 = d/60 + 30/60 (Convert time from minutes to hours)
On solving, we get d = 30
Total distance travelled = 2d + 5 = 65miles
Option (C)

Download CAT 2017 Question Paper with answers and detailed solutions in PDF

CAT 2017 Questions from Quantitative Aptitude – Arithmetic

Quantitative Aptitude – Arithmetic – Time, Speed and Distance – Q1: A motorbike leaves point A at 1 pm and moves towards point B at a uniform speed. A car leaves point B at 2 pm and moves towards point A at a uniform speed which is double that of the motorbike.
Quantitative Aptitude – Arithmetic – Time, Speed and Distance – Q2: In a 10 km race. A, B,and C, each running at uniform speed, get the gold, silver, and bronze medals, respectively. If A beats B by 1 km and B beats C by 1 km, then by how many metres does A beat C?
Quantitative Aptitude – Arithmetic – Time, Speed and Distance – Q3: A man travels by a motor boat down a river to his office and back. With the speed of the river unchanged, if he doubles the speed of his motor boat, then his total travel time gets reduced by 75%.
Quantitative Aptitude – Arithmetic – Time, Speed and Distance – Q4: A man leaves his home and walks at a speed of 12 km per hour, reaching the railway station 10 minutes after the train had departed.
Quantitative Aptitude – Arithmetic – Mixtures – Q1 : Consider three mixtures – the first having water and liquid A in the ratio 1 : 2, the second having water and liquid B in the ratio 1 : 3, and the third having water and liquid C in the ratio 1 : 4.
Quantitative Aptitude – Arithmetic – Mixtures – Q2: Bottle 1 contains a mixture of milk and water in 7 : 2 ratio and Bottle 2 contains a mixture of milk and water in 9 : 4 ratio.
Quantitative Aptitude – Arithmetic – Time and Work – Q1: Amal can complete a job in 10 days and Bimal can complete it in 8 days. Amal, Bimal and Kamal together complete the job in 4 days and are paid a total amount of Rs 1000 as remuneration.
>Quantitative Aptitude – Arithmetic – Time and Work – Q2: A person can complete a job in 120 days. He works alone on Day 1. On Day 2, he is joined by another person who also can complete the job in exactly 120 days.
Quantitative Aptitude – Arithmetic – Percentages
Quantitative Aptitude – Arithmetic – Profit and Loss
Quantitative Aptitude – Arithmetic – Pipes and Cisterns – Ques: A tank has an inlet pipe and an outlet pipe. If the outlet pipe is closed then the inlet pipe fills the empty tank in 8 hours.
Quantitative Aptitude – Arithmetic – Averages
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Other posts related to Quantitative Aptitude – Arithmetic

Learn the Basics of Time, Speed & Distance for CAT 2017
Time Speed Distance – Motion of Two Bodies in a Straight Line
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Percentage concepts, questions and shortcut tricks for the CAT exam

Online Coaching Course for CAT Exam Preparation

a) 750+ Videos covering entire CAT syllabus
b) 2 Live Classes (online) every week for doubt clarification
c) Study Material & PDFs for practice and understanding
d) 10 Mock Tests in the latest pattern
e) Previous Year Questions solved on video

Know More about Online CAT Course

Quantitative Aptitude – Arithmetic – TSD – Arun drove from home to his hostel
5 (100%) 52 votes