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CAT Practice Test: September 22 - CAT MCQ


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30 Questions MCQ Test Daily Test for CAT Preparation - CAT Practice Test: September 22

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CAT Practice Test: September 22 - Question 1

Directions: Answer the questions based on the information that follows:
Vamsi gets his lunch from Hotel Annapurna, from Monday to Friday every week. He will get any one of these desserts daily - Kheer, Kalakand, Papidi or Halwa - along with his lunch. Also,

  • He does not get the same dessert for more than two consecutive days.
  • If he gets Papidi one day, he will get Kheer the next day.
  • If he gets Kalakand one day, he will not get Halwa or Kheer the next day.
  • If he gets Halwa one day, he will get either Kalakand or Papidi the next day.
  • On Mondays, he gets either Kheer or Kalakand. If he gets Kheer one day, he will not get Kalakand or Papidi the next day.

If in a particular week, he gets Papidi on Friday, which dessert does he definitely not get on Tuesday of the same week?

Detailed Solution for CAT Practice Test: September 22 - Question 1


Different possible ways are shown below.

From the above table, if he gets Kalakand on Tuesday, then he does not get Papidi on Friday. If he gets Papidi on Friday, then he does not get Kalakand on Tuesday.

CAT Practice Test: September 22 - Question 2

Directions: Answer the questions based on the information that follows:
Vamsi gets his lunch from Hotel Annapurna, from Monday to Friday every week. He will get any one of these desserts daily - Kheer, Kalakand, Papidi or Halwa - along with his lunch. Also,

  • He does not get the same dessert for more than two consecutive days.
  • If he gets Papidi one day, he will get Kheer the next day.
  • If he gets Kalakand one day, he will not get Halwa or Kheer the next day.
  • If he gets Halwa one day, he will get either Kalakand or Papidi the next day.
  • On Mondays, he gets either Kheer or Kalakand. If he gets Kheer one day, he will not get Kalakand or Papidi the next day.

In how many different ways, can he get a dessert from Monday to Friday?

Detailed Solution for CAT Practice Test: September 22 - Question 2


Different possible ways are shown below.

From the above diagram, we find that total number of ways are 12.

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CAT Practice Test: September 22 - Question 3

Directions: Answer the questions based on the information that follows:
Vamsi gets his lunch from Hotel Annapurna, from Monday to Friday every week. He will get any one of these desserts daily - Kheer, Kalakand, Papidi or Halwa - along with his lunch. Also,

  • He does not get the same dessert for more than two consecutive days.
  • If he gets Papidi one day, he will get Kheer the next day.
  • If he gets Kalakand one day, he will not get Halwa or Kheer the next day.
  • If he gets Halwa one day, he will get either Kalakand or Papidi the next day.
  • On Mondays, he gets either Kheer or Kalakand. If he gets Kheer one day, he will not get Kalakand or Papidi the next day.

If he gets Papidi on Tuesday, which sweet will he not get on Friday?

Detailed Solution for CAT Practice Test: September 22 - Question 3


Different possible ways are shown below.

If he gets Papidi on Tuesday, then he will not get Kheer on Friday.

CAT Practice Test: September 22 - Question 4

Directions: Answer the questions based on the information that follows:
Vamsi gets his lunch from Hotel Annapurna, from Monday to Friday every week. He will get any one of these desserts daily - Kheer, Kalakand, Papidi or Halwa - along with his lunch. Also,

  • He does not get the same dessert for more than two consecutive days.
  • If he gets Papidi one day, he will get Kheer the next day.
  • If he gets Kalakand one day, he will not get Halwa or Kheer the next day.
  • If he gets Halwa one day, he will get either Kalakand or Papidi the next day.
  • On Mondays, he gets either Kheer or Kalakand. If he gets Kheer one day, he will not get Kalakand or Papidi the next day.

If he gets Papidi on Friday, which sweet should he not get on Wednesday in the same week?

Detailed Solution for CAT Practice Test: September 22 - Question 4


Different possible ways are shown below.

If he gets Papidi on Wednesday, then he should not get Papidi on Friday.
Therefore, if he gets Papidi on Friday, then he should not get Papidi on Wednesday.

CAT Practice Test: September 22 - Question 5

Directions: Read the given information and answer the following question.
P, Q, R, S, T, U, V, W, X and Y are ten employees of different companies and each of them is working on a different project. There are three public companies (A, B and C) and seven private companies (E, F, G, H, I, J and K), though not in the same order. They are sitting in two rows with P, Q, R, S and T facing south and U, V, W, X and Y facing north, though not in the same order. There are 3 female and 7 male employees. No females are facing each other. No male is an employee of a public company. X, who works in company C, sits in the middle of the row. The persons working in company B and company A sit on the two sides of the person who is exactly opposite to X. V sits third to the right of the person who works in company F and is not facing the person working in company B. There are two persons sitting between U and Y. The person working in company B is facing U, who is working in company I. Q sits at the end of the row and S sits third to the right of Q, who is working in company H. P and Q are immediate neighbours of T. T is not facing the person working in company K. The persons working in companies G and Y are at diagonally opposite ends to each other. The person working in company E faces south.

What is the position of the person working in company C with respect to V?

Detailed Solution for CAT Practice Test: September 22 - Question 5



The person working in company C sits to the immediate left of V.

CAT Practice Test: September 22 - Question 6

Directions: Read the given information and answer the following question.
P, Q, R, S, T, U, V, W, X and Y are ten employees of different companies and each of them is working on a different project. There are three public companies (A, B and C) and seven private companies (E, F, G, H, I, J and K), though not in the same order. They are sitting in two rows with P, Q, R, S and T facing south and U, V, W, X and Y facing north, though not in the same order. There are 3 female and 7 male employees. No females are facing each other. No male is an employee of a public company. X, who works in company C, sits in the middle of the row. The persons working in company B and company A sit on the two sides of the person who is exactly opposite to X. V sits third to the right of the person who works in company F and is not facing the person working in company B. There are two persons sitting between U and Y. The person working in company B is facing U, who is working in company I. Q sits at the end of the row and S sits third to the right of Q, who is working in company H. P and Q are immediate neighbours of T. T is not facing the person working in company K. The persons working in companies G and Y are at diagonally opposite ends to each other. The person working in company E faces south.

Who is facing the person working in company A?

Detailed Solution for CAT Practice Test: September 22 - Question 6



The person who is sitting to the immediate left of the person sitting opposite Q.

CAT Practice Test: September 22 - Question 7

Directions: Read the given information and answer the following question.
P, Q, R, S, T, U, V, W, X and Y are ten employees of different companies and each of them is working on a different project. There are three public companies (A, B and C) and seven private companies (E, F, G, H, I, J and K), though not in the same order. They are sitting in two rows with P, Q, R, S and T facing south and U, V, W, X and Y facing north, though not in the same order. There are 3 female and 7 male employees. No females are facing each other. No male is an employee of a public company. X, who works in company C, sits in the middle of the row. The persons working in company B and company A sit on the two sides of the person who is exactly opposite to X. V sits third to the right of the person who works in company F and is not facing the person working in company B. There are two persons sitting between U and Y. The person working in company B is facing U, who is working in company I. Q sits at the end of the row and S sits third to the right of Q, who is working in company H. P and Q are immediate neighbours of T. T is not facing the person working in company K. The persons working in companies G and Y are at diagonally opposite ends to each other. The person working in company E faces south.

Q is related to X and T is related to U in the same way as P is related to 

Detailed Solution for CAT Practice Test: September 22 - Question 7



X sits second to the left of the person facing Q. Similarly, W sits second to the left of the person facing P.

CAT Practice Test: September 22 - Question 8

Directions: Read the given information and answer the following question.
P, Q, R, S, T, U, V, W, X and Y are ten employees of different companies and each of them is working on a different project. There are three public companies (A, B and C) and seven private companies (E, F, G, H, I, J and K), though not in the same order. They are sitting in two rows with P, Q, R, S and T facing south and U, V, W, X and Y facing north, though not in the same order. There are 3 female and 7 male employees. No females are facing each other. No male is an employee of a public company. X, who works in company C, sits in the middle of the row. The persons working in company B and company A sit on the two sides of the person who is exactly opposite to X. V sits third to the right of the person who works in company F and is not facing the person working in company B. There are two persons sitting between U and Y. The person working in company B is facing U, who is working in company I. Q sits at the end of the row and S sits third to the right of Q, who is working in company H. P and Q are immediate neighbours of T. T is not facing the person working in company K. The persons working in companies G and Y are at diagonally opposite ends to each other. The person working in company E faces south.

Which of the following groups represents female employees?

Detailed Solution for CAT Practice Test: September 22 - Question 8



The female employees are S, T and X.

CAT Practice Test: September 22 - Question 9

Directions: Study the information given below and answer the question that follows.
There are some people living in a building: Pallavi, Mayank, Karan, Ravya, Jasmine, Sheetal, Tinu, Om, Uma, Vikram, Ram, and Seema. They visited 12 different places, namely, Agra, Kerala, Darjeeling, Shimla, Kasauli, Goa, Kanpur, Udaipur, Palampur, Panipat, Dalhousie and Mussoorie (but not necessarily in the same order) on 12 different dates of 12 different months in a year starting from January. The dates of the month on which they visited were 1, 2, 3, 4, 5, 6, 9, 10, 11, 13, 17 and 19.
Jasmine and Tinu went to Agra and Kerala, respectively. Three of the persons visited Darjeeling, Dalhousie and Shimla in consecutive months in the same order. Tinu, Sheetal, Jasmine and Om visited on two-digit prime-numbered day of different months. Jasmine went on the second lowest two-digit prime-numbered day and in a month which has less than 30 days. Tinu went on the lowest two-digit prime-numbered day and in a month which has more than 30 days. Tinu went immediately after the month in which Sheetal went. Seema went on the very first day of a month. Sheetal went on the highest two-digit prime-numbered day and in the second last month of the year. Pallavi went in the month immediately after Om's trip. Vikram went in the month immediately after Seema's trip. Karan went to Goa in the third last month and on an even prime-numbered day. Only five people scheduled their trip after Om. There was one person who scheduled his trip to Kasauli on fifth day of a month. The very first person who went to the trip was Mayank. Only two persons scheduled their trip before the one who went to Darjeeling. The one who went to Palampur went before the one who went to Darjeeling. Only one person scheduled his trip after the one who went to Mussoorie. The person who went on sixth day of a month went immediately after the one who went to Shimla and immediately before the one who went to Kanpur. There were five people who scheduled their trip between the one who went on third day of a month and the one who went on fourth day of a month. Ravya, who went in April, went on a day square of the day on which Uma scheduled her trip. Mayank chose the first two-digit number as the date for his trip. The one who visited Udaipur went on an even-numbered day of a month. Ram went to Panipat.

Which of the following combinations of "Month : Date : Name : Place" is correct?

Detailed Solution for CAT Practice Test: September 22 - Question 9

Jasmine went on the second lowest two-digit prime-numbered day and in a month which has less than 30 days. Jasmine and Tinu went to Agra and Kerala, respectively. Sheetal went on the highest two-digit prime-numbered day and in the second last month of the year. Tinu went immediately after the month in which Sheetal went. Tinu went on the lowest two-digit prime-numbered day and in a month which has more than 30 days. Karan went to Goa in the third last month and on an even prime-numbered day.

The very first person who went to the trip was Mayank. Mayank chose the first two-digit number as the date for his trip. Only five people scheduled their trip after Om. Only two persons scheduled their trip before the one who went to Darjeeling. The one who went to Palampur went before the one who went to Darjeeling. Only one person scheduled his trip after the one who went to Mussoorie. Three of the persons visited Darjeeling, Dalhousie and Shimla in consecutive months in the same order. Tinu, Sheetal, Jasmine and Om visited on two-digit prime-numbered day of different months.

Pallavi went in the month immediately after Om's trip. The person who went on sixth day of a month went immediately after the one who went to Shimla and immediately before the one who went to Kanpur. Ravya, who went in April, went on a day square of the day on which Uma scheduled her trip. This means Ravya went on ninth of a month. There were five people who scheduled their trip between the one who went on third day of a month and the one who went on fourth day of a month. Seema went on the very first day of a month. Vikram went in the month immediately after Seema's trip. There was one person who scheduled his trip to Kasauli on fifth day of a month. Ram went to Panipat.

CAT Practice Test: September 22 - Question 10

Directions: Study the information given below and answer the question that follows.
There are some people living in a building: Pallavi, Mayank, Karan, Ravya, Jasmine, Sheetal, Tinu, Om, Uma, Vikram, Ram, and Seema. They visited 12 different places, namely, Agra, Kerala, Darjeeling, Shimla, Kasauli, Goa, Kanpur, Udaipur, Palampur, Panipat, Dalhousie and Mussoorie (but not necessarily in the same order) on 12 different dates of 12 different months in a year starting from January. The dates of the month on which they visited were 1, 2, 3, 4, 5, 6, 9, 10, 11, 13, 17 and 19.
Jasmine and Tinu went to Agra and Kerala, respectively. Three of the persons visited Darjeeling, Dalhousie and Shimla in consecutive months in the same order. Tinu, Sheetal, Jasmine and Om visited on two-digit prime-numbered day of different months. Jasmine went on the second lowest two-digit prime-numbered day and in a month which has less than 30 days. Tinu went on the lowest two-digit prime-numbered day and in a month which has more than 30 days. Tinu went immediately after the month in which Sheetal went. Seema went on the very first day of a month. Sheetal went on the highest two-digit prime-numbered day and in the second last month of the year. Pallavi went in the month immediately after Om's trip. Vikram went in the month immediately after Seema's trip. Karan went to Goa in the third last month and on an even prime-numbered day. Only five people scheduled their trip after Om. There was one person who scheduled his trip to Kasauli on fifth day of a month. The very first person who went to the trip was Mayank. Only two persons scheduled their trip before the one who went to Darjeeling. The one who went to Palampur went before the one who went to Darjeeling. Only one person scheduled his trip after the one who went to Mussoorie. The person who went on sixth day of a month went immediately after the one who went to Shimla and immediately before the one who went to Kanpur. There were five people who scheduled their trip between the one who went on third day of a month and the one who went on fourth day of a month. Ravya, who went in April, went on a day square of the day on which Uma scheduled her trip. Mayank chose the first two-digit number as the date for his trip. The one who visited Udaipur went on an even-numbered day of a month. Ram went to Panipat.

Who among the following went in three consecutive months in same order?

Detailed Solution for CAT Practice Test: September 22 - Question 10

Jasmine went on the second lowest two-digit prime-numbered day and in a month which has less than 30 days. Jasmine and Tinu went to Agra and Kerala, respectively. Sheetal went on the highest two-digit prime-numbered day and in the second last month of the year. Tinu went immediately after the month in which Sheetal went. Tinu went on the lowest two-digit prime-numbered day and in a month which has more than 30 days. Karan went to Goa in the third last month and on an even prime-numbered day.

The very first person who went to the trip was Mayank. Mayank chose the first two-digit number as the date for his trip. Only five people scheduled their trip after Om. Only two persons scheduled their trip before the one who went to Darjeeling. The one who went to Palampur went before the one who went to Darjeeling. Only one person scheduled his trip after the one who went to Mussoorie. Three of the persons visited Darjeeling, Dalhousie and Shimla in consecutive months in the same order. Tinu, Sheetal, Jasmine and Om visited on two-digit prime-numbered day of different months.

Pallavi went in the month immediately after Om's trip. The person who went on sixth day of a month went immediately after the one who went to Shimla and immediately before the one who went to Kanpur. Ravya, who went in April, went on a day square of the day on which Uma scheduled her trip. This means Ravya went on ninth of a month. There were five people who scheduled their trip between the one who went on third day of a month and the one who went on fourth day of a month. Seema went on the very first day of a month. Vikram went in the month immediately after Seema's trip. There was one person who scheduled his trip to Kasauli on fifth day of a month. Ram went to Panipat.

CAT Practice Test: September 22 - Question 11

Who among the following is engaged in Doctor’s Profession with her husband?

Detailed Solution for CAT Practice Test: September 22 - Question 11

CAT Practice Test: September 22 - Question 12

Which of the following pair is the correct match of husband –wife?

Detailed Solution for CAT Practice Test: September 22 - Question 12

CAT Practice Test: September 22 - Question 13

Who among the followings are Housewives?

Detailed Solution for CAT Practice Test: September 22 - Question 13

CAT Practice Test: September 22 - Question 14

Who is the wife of Engineer?

Detailed Solution for CAT Practice Test: September 22 - Question 14

CAT Practice Test: September 22 - Question 15

What is the position of Nisha with respect to the person whose birthday is in the month of July?

Detailed Solution for CAT Practice Test: September 22 - Question 15

CAT Practice Test: September 22 - Question 16

Which of the following combinations is definitely true?

Detailed Solution for CAT Practice Test: September 22 - Question 16

CAT Practice Test: September 22 - Question 17

How many persons are sitting between Priti and the person whose birthday is in the month of April? (If counted from Priti in clockwise direction)

Detailed Solution for CAT Practice Test: September 22 - Question 17

CAT Practice Test: September 22 - Question 18

Which of the following persons birthday is in the month of February?

Detailed Solution for CAT Practice Test: September 22 - Question 18

CAT Practice Test: September 22 - Question 19

AGM is going which of the following city?

Detailed Solution for CAT Practice Test: September 22 - Question 19

CAT Practice Test: September 22 - Question 20

Works on which of the following post?

Detailed Solution for CAT Practice Test: September 22 - Question 20

CAT Practice Test: September 22 - Question 21

The total money that Vijay (V) and Manju (M) have is less than Rs. 5 but both are having some money. Which of the following is not necessarily true?  

Detailed Solution for CAT Practice Test: September 22 - Question 21

Total money with Vijay and Manju is less than Rs. 5.
If Vijay is near to 0, then Manju is near to 5.
If Manju is near to 0, then Vijay is near to 5.
Option (1):
3V + 4M < 24
Let V = 1, then M < 5
3 × 1 + 4 × 4 < 24 [True]
Option (2):
3V + 4M < 18
3 + 16 < 18 [False]

CAT Practice Test: September 22 - Question 22

How many ordered pairs of natural numbers satisfy the inequality 8x + 2y ≤ 24?  

Detailed Solution for CAT Practice Test: September 22 - Question 22

x = 1, 2y ≤ 16 ⇒ y ∈ [1, 2, 3, 4, 5, 6, 7, 8] ⇒ 8 pairs 
x = 2, 2y ≤ 8 ⇒ y ∈ [1, 2, 3, 4] ⇒ 4 pairs
x = 3, y = 0 ⇒ 0 pair
So, a total of 12 pairs are there.

CAT Practice Test: September 22 - Question 23

If b > a and c < 0, then which of the following is true (a, b > 0)?

Detailed Solution for CAT Practice Test: September 22 - Question 23

If a < b and c < 0, let us give some values to these variables such as a = 2, b = 3 and c = -1 and put in the options.
We will have only option 3 true, i.e.


 which is true.

CAT Practice Test: September 22 - Question 24

If -1 ≤ v ≤ 1, -2 ≤ u ≤ -0.5, -2 ≤ z ≤ -0.5 and w = vz/u, then which of the following is necessarily true?

Detailed Solution for CAT Practice Test: September 22 - Question 24

u is always negative; hence, for us to have a minimum value of vz/u , vz should be positive.
Also, for the least value, the numerator has to be the maximum positive value and the denominator has to be the smallest negative value. In other words, vz has to be 2 and u has to be -0.5.
Hence, minimum value of vz/u = 2/-0.5 = -4
For us to get the maximum value, vz has to be the smallest negative value and u has to be the highest negative value.
Thus, vz has to be -2 and u has to be -0.5.
Hence, maximum value of vz/u = -2/-0.5 = 4

CAT Practice Test: September 22 - Question 25

If - 2 ≤ a ≤ - 1, - 4 ≤ b ≤ - 2, 2 ≤ c ≤ 4 and 1 ≤ d ≤ 3, what is the maximum value of ab2/cd2 ?

Detailed Solution for CAT Practice Test: September 22 - Question 25

Since a is always negative and b2, c and d2 are always positive. So ab2/cd2 is always negative.
So, the maximum value is negative of minimum magnitude.
So, a and b2 should be minimum in magnitude and c and d2 should be maximum.
So, take a = -1, b = 2 and c = 4 and d = 3.

So, maximum value = 

CAT Practice Test: September 22 - Question 26

For the given consecutive integers p, q, r and s, such that, p, q, r, s > 0, then, which of the following can be true?

Detailed Solution for CAT Practice Test: September 22 - Question 26

Consider p = 1, q = 2, r = 3, s = 4
Case 1: p + q < r + s
which implies, 3 < 7, which holds the inequality.
Case 2: (p + q) (rs) = 36
pq (r + s) = 14
36 is not less than 14
Hence, the second option is incorrect
Case 3: (p + q) (r + s) = 21
pq + rs = 14
Hence, option 3 is incorrect.

CAT Practice Test: September 22 - Question 27

Which of the following is the possible value of a in the given inequality |2a + 3| > |7a - 2|?

Detailed Solution for CAT Practice Test: September 22 - Question 27

If 7a - 2 ≥ 0, then, 
If 2a + 3 ≥ 0, then 
So, three different intervals of a are possible.
Case 1:
 then inequality becomes,
2a + 3 > 7a - 2
5 > 5a
1 > a
So, for case 1,

Case 2:

2a + 3 > 2 - 7a
9a > - 1

So, for case 2,

Case 3:
  then inequality becomes,
-2a - 3 > 2 - 7a
5a > 5
a > 1, which is not possible as the given inequality is formed only if

So, combining case 1 and case 2,
 is the correct interval of a.

 

CAT Practice Test: September 22 - Question 28

To determine their favourite brand of chocolates in a particular community, a big chain of retail stores conducted a survey for elementary school kids. In the survey, a kid was presented with a tray of 8 chocolates of different brands and asked to pick one. In all, 400 kids were involved in the survey. Out of the first 100, 20 chose brand C. In the next 200, 40 chose brand C. k kids in the last 100 opted for brand C. If not more than 25% of kids chose brand C, then which of the following inequalities best describes the value for k?

Detailed Solution for CAT Practice Test: September 22 - Question 28

Total number of kids surveyed = 100 + 200 + 100 = 400
25% of 400 = 100
Number of kids who chose brand C = 20 + 40 + k = 60 + k
Not more than 25% of the kids chose brand C.
This implies that at the most, 25% of the kids chose brand C.
Thus, at the most, 100 kids chose brand C.
Thus, 60 + k ≤ 100
Or, k ≤ 40
Hence, answer option (3) is correct.

CAT Practice Test: September 22 - Question 29

For the given pair (x, y) of positive integers, 7x + 3y = 123. How many integral pairs of x and y satisfy the given condition?

Detailed Solution for CAT Practice Test: September 22 - Question 29

For the first pair, use the equation, remainder of (7/3)x = remainder of (123/3).
Thus, the first pair is (0, 41). Since only positive integers are permitted, we reject this pair.
But the other pairs can be derived from the above pair.
Now, every third value of x after 0 will give an integral value of y i.e. for x = 3, 6, 9, 12, 15, 18.. and so on, we get integral values of y as 34, 27, 20, 13, 6, - 1,……. and so on.
Thus, only five pairs satisfy our condition: (3, 34), (6, 27), (9, 20), (12, 13) and (15, 6).

CAT Practice Test: September 22 - Question 30

x and y are real numbers satisfying the conditions 2 < x < 3 and - 8 < y < - 7. Which of the following expressions will have the least value?

Detailed Solution for CAT Practice Test: September 22 - Question 30

2 < x < 3 and -8 < y < -7
Since, the value of xy2 is also positive and the least value of x + y is -8 + 2 = -6      ....(i)
And since 2 < x < 3,
⇒ 4 < x2 < 9
And - 8 < y < -7
⇒ 4y < x2y < 9y
⇒ -63 < x2y < -32      ....(ii)
While -105 < 5xy < -80    ....(iii)
Hence, from (i), (ii) and (iii), 5xy is the least because xy2 is positive.

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