#cat quantitative ability

CAT QUANTITATIVE ABILITY

Q1. A dishonest shopkeeper sells sugar at cost price but makes 25% profit by using faulty weights. He decides to give a discount to attract more customers. What percent of discount should he offer to make 12% profit?

1] 15.2%                2] 12.5%                3] 10.4%                4] 13%

Q2. N is a natural number having the sum of it’s digits as 3. If 101314, then how many values can ‘N’ assume?

1] 93       2] 91       3] 78       4] 105 

Q3. Two barrels A and C contain alcohol and water in the ratio 1 : a and 1 : c, respectively. Equal quantity of mixtures from barrels A and C are mixed to get a mixture with alcohol and water in the ratio 1 : b, where b is the arithmetic mean of a and c. What can be the value of a + b + c, if a, b and c are integers?

1] 14       2] 10       3] 15       4] 8 

Q4. Given 2 positive integers, ‘x’ and ‘y’ with x

1] 10 and 1990     2] 900 and 1880      3] 1 and 1890       4] 1 and 900

Q5. Ajay plans to host a lunch for his friends at a restaurant. He decides to keep 1 starter and 2 main courses for the lunch. From the menu, he realizes that there are only 15 ways to fulfill his requirement. What can be the total number of dishes available on the menu?

1] 4         2] 5         3] 6         4] 7

Q6. If ‘a’ is positive and a4 – 62a2   + 1 = 0, find the value of a3 + 1/a3

1] 648    2] 392    3] 488    4] 512 

CAT QUANTITATIVE ABILITY

Q1. A dishonest shopkeeper sells sugar at cost price but makes 25% profit by using faulty weights. He decides to give a discount to attract more customers. What percent of discount should he offer to make 12% profit?

1] 15.2%                2] 12.5%                3] 10.4%                4] 13%

Q2. N is a natural number having the sum of it’s digits as 3. If 101314, then how many values can ‘N’ assume?

1] 93       2] 91       3] 78       4] 105 

Q3. Two barrels A and C contain alcohol and water in the ratio 1 : a and 1 : c, respectively. Equal quantity of mixtures from barrels A and C are mixed to get a mixture with alcohol and water in the ratio 1 : b, where b is the arithmetic mean of a and c. What can be the value of a + b + c, if a, b and c are integers?

1] 14       2] 10       3] 15       4] 8 

Q4. Given 2 positive integers, ‘x’ and ‘y’ with x

1] 10 and 1990     2] 900 and 1880      3] 1 and 1890       4] 1 and 900

Q5. Ajay plans to host a lunch for his friends at a restaurant. He decides to keep 1 starter and 2 main courses for the lunch. From the menu, he realizes that there are only 15 ways to fulfill his requirement. What can be the total number of dishes available on the menu?

1] 4         2] 5         3] 6         4] 7

Q6. If ‘a’ is positive and a4 – 62a2   + 1 = 0, find the value of a3 + 1/a3

1] 648    2] 392    3] 488    4] 512 

CAT QUANTITATIVE ABILITY

Q1. A dishonest shopkeeper sells sugar at cost price but makes 25% profit by using faulty weights. He decides to give a discount to attract more customers. What percent of discount should he offer to make 12% profit?

1] 15.2%                2] 12.5%                3] 10.4%                4] 13%

Q2. N is a natural number having the sum of it’s digits as 3. If 101314, then how many values can ‘N’ assume?

1] 93       2] 91       3] 78       4] 105 

Q3. Two barrels A and C contain alcohol and water in the ratio 1 : a and 1 : c, respectively. Equal quantity of mixtures from barrels A and C are mixed to get a mixture with alcohol and water in the ratio 1 : b, where b is the arithmetic mean of a and c. What can be the value of a + b + c, if a, b and c are integers?

1] 14       2] 10       3] 15       4] 8 

Q4. Given 2 positive integers, ‘x’ and ‘y’ with x

1] 10 and 1990     2] 900 and 1880      3] 1 and 1890       4] 1 and 900

Q5. Ajay plans to host a lunch for his friends at a restaurant. He decides to keep 1 starter and 2 main courses for the lunch. From the menu, he realizes that there are only 15 ways to fulfill his requirement. What can be the total number of dishes available on the menu?

1] 4         2] 5         3] 6         4] 7

Q6. If ‘a’ is positive and a4 – 62a2   + 1 = 0, find the value of a3 + 1/a3

1] 648    2] 392    3] 488    4] 512 

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CAT QUANTITATIVE ABILITY

1. A dishonest shopkeeper sells sugar at cost price but makes 25% profit by using faulty weights. He decides to give a discount to attract more customers. What percent of discount should he offer to make 12% profit?

1] 15.2%                2] 12.5%                3] 10.4%                4] 13%

2. N is a natural number having the sum of it’s digits as 3. If 101314, then how many values can ‘N’ assume?

1] 93       2] 91       3] 78       4] 105 

3. Two barrels A and C contain alcohol and water in the ratio 1 : a and 1 : c, respectively. Equal quantity of mixtures from barrels A and C are mixed to get a mixture with alcohol and water in the ratio 1 : b, where b is the arithmetic mean of a and c. What can be the value of a + b + c, if a, b and c are integers?

1] 14       2] 10       3] 15       4] 8 

4. Given 2 positive integers, ‘x’ and ‘y’ with x

1] 10 and 1990     2] 900 and 1880 3] 1 and 1890       4] 1 and 900

5. Ajay plans to host a lunch for his friends at a restaurant. He decides to keep 1 starter and 2 main courses for the lunch. From the menu, he realizes that there are only 15 ways to fulfill his requirement. What can be the total number of dishes available on the menu?

1] 4         2] 5         3] 6         4] 7

6. If ‘a’ is positive and a4 – 62a2   + 1 = 0, find the value of a3 + 1/a3

1] 648    2] 392    3] 488    4] 512 

CAT QUANTITATIVE ABILITY

1Q. A company offered its 350 employees a bonus of Rs 10 to each male and Rs 8.15 to each female. All the females accepted but a certain percentage of males refused to accept. The total bonus paid was independent of the number of males. What was the total amount paid to the females (in rupees)?

1. 1672.50

2. 1222.50

3. 2852.50

4. None of these

2Q. Ram bought ‘a’ flowers for ‘b’ rupees, where ‘a’ and ‘b’ are integers. If he had bought 10 more flowers he would have got all for Rs. 2 and saved 80 paisa a dozen. What are the respective vales of ‘a’ and ‘b’?

1. 5,1

2. 4,2

3. 3,2

4. 6,1

3Q. The integers 49966 and 52231 when divided by a three digit number ‘n’ give the same remainder. What is the value of n?

1. 367

2. 453

3. 462

4. 298

4Q. The HCF of two numbers is 21 and their LCM is 4641. If one of the numbers is between 200 and 300, find the other number.

1. 221

2. 273

3. 357

4. 441

5Q. What is the least number of digits in the number formed from only zeroes and ones such that the number is divisible by 225?

1. 4

2. 9

3. 11

4. 7