LRDI Prep for CAT

Diagnostic Test

There are 16 questions, the difficulty level is easy to medium. This is a self-timed exercise, so time yourself. A reasonable time estimate for each question is 3 mins i.e. you should able to complete the test in 48 or less minutes.

Each correct answer will fetch you 3 marks. Avoid randomly guessing the answer because each wrong answer will be penalised 1 marks. This is the marking scheme in CAT and we will follow this throughout the course.

All the best.

Q. 1/16

At a village mela, the following six nautankis (plays) are scheduled as shown in the table below.
TABLE
You wish to see all the six nautankis. Further, you wish to ensure that you get a lunch break from 12.30 p.m. to 1.30 p.m. Which of the following ways can you do this?

  1. Sati Savitri is viewed first; Sundar Kand is viewed third, and Jhansi ki Rani is viewed last
  2. Sati Savitri is viewed last; Veer Abhimanyu is viewed third, and Reshma aur Shera is viewed first
  3. Sati Savitri is viewed first; Sundar Kand is viewed third, and Joru ka Ghulam is viewed fourth
  4. Veer Abhimanyu is viewed third; Reshma aur Shera is viewed fourth, and Jahansi ki Rani is viewed fifth

Q. 2/16

Mrs Ranga has three children and has difficulty remembering their ages and months of their birth.
The clue below may help her remember.

  • The boy, who was born in June, is 7 years old.
  • One of the children is 4 years old but it was not Anshuman.
  • Vaibhav is older than Suprita.
  • One of the children was born in September, but it was not Vaibhav.
  • Suprita’s birthday is in April.
  • The youngest child is only 2-year-old.

Based on the above clues, which one of the following statements is true?

  1. Vaibhav is the oldest, followed by Anshuman who was born in September, and the youngest is Suprita who was born in April
  2. Anshuman is the oldest being born in June, followed by Suprita who is 4-year-old, and the youngest is Vaibhav who is 2-year-old
  3. Vaibhav is the oldest being 7-year-old, followed by Suprita who was born in April, and the youngest is Anshuman who was born in September
  4. Suprita is the oldest who was born in April, followed by Vaibhav who was born in June, and Anshuman who was born in September

Q. 3/16

The Bannerjees, the Sharmas, and the Pattabhiramans each have a tradition of eating Sunday lunch as a family. Each family serves a special meal at a certain time of day. Each family has a particular set of chinaware used for this meal. Use the clues below to answer the following question.

  • The Sharma family eats at noon.
  • The family that serves fried brinjal uses blue chinaware.
  • The Bannerjee family eats at 2 o’clock.
  • The family that serves sambar does not use red chinaware.
  • The family that eats at 1 o’clock serves fried brinjal.
  • The Pattabhiraman family does not use white chinaware.
  • The family that eats last likes makkai-ki-roti.

Which one of the following statements is true?

  1. The Bannerjees eat makkai-ki-roti at 2 o’clock, the Sharmas eat fried brinjal at 12 o’clock and the Pattabhiramans eat sambar from red chinaware
  2. The Sharmas eat sambar served in white chinaware, the Pattabhiramans eat fried brinjal at 1 o’clock, and the Bannerjees eat makkai-ki-roti served in blue chinaware
  3. The Sharmas eat sambar at noon, the Pattabhiramans eat fried brinjal served in blue chinaware, and the Bannerjees eat makkai-ki-roti served in red chinaware
  4. The Bannerjees eat makkai-ki-roti served in white chinaware, the Sharmas eat fried brinjal at 12 o’clock and the Pattabhiramans eat sambar from red chinaware

Q. 4/16

While Balbir had his back turned, a dog ran into his butcher shop, snatched a piece of meat off the counter and ran out. Balbir was mad when he realised what had happened. He asked three other shopkeepers, who had seen the dog, to describe it. The shopkeepers really did not want to help Balbir. So each of them made a statement which contained one truth and one lie.
Shopkeeper number 1 said: “The dog had black hair and a long tail.”
Shopkeeper number 2 said: “The dog had a short tail and wore a collar.”
Shopkeeper number 3 said: “The dog had white hair and no collar.”
Based on the above statements, which of the following could be a correct description?

  1. The dog had white hair, short tail and no collar
  2. The dog had white hair, long tail and a collar
  3. The dog had black hair, long tail and a collar
  4. The dog had black hair, long tail and no collar

Directions for Qs 5 & 6:

Elle is three times older than Yogesh. Zaheer is half the age of Wahida. Yogesh is older than Zaheer.

Q. 5/16

Which of the following can be inferred?

  1. Yogesh is older than Wahida
  2. Elle is older than Wahida
  3. Elle may be younger than Wahida
  4. None of these

Q. 6/16

Which of the following information will be sufficient to estimate Elle’s age?

  1. Zaheer is 10-year-old
  2. Both Yogesh and Wahida are older than Zaheer by the same number of years
  3. Both (A) and (B)
  4. None of these

Directions for Qs 7 to 9:

A group of three or four has to be selected from seven persons. Among the seven are two women: Fiza and Kavita, and five men: Ram, Shyam, David, Peter and Rahim. Ram would not like to be in the group If Shyam is also selected. Shyam and Rahim want to be selected together in the group. Kavita would like to be in the group only if David is also there. David, if selected, would not like Peter in the group. Ram would like to be in the group only if Peter is also there. David insists that Fiza be selected in case he is there in the group.

Q. 7/16

Which of the following is a feasible group of three?

  1. David, Ram and Rahim
  2. Peter, Shyam and Rahim
  3. Kavita, David and Shyam
  4. Fiza, David and Ram

Q. 8/16

Which of the following is a feasible group in four?

  1. Ram, Peter, Fiza and Rahim
  2. Shyam, Rahim, Kavita and David
  3. Shyam, Rahim, Fiza and David
  4. Fiza, David, Ram and Peter

Q. 9/16

Which of the following statements is true?

  1. Kavita and Ram can be part of a group of four
  2. A group of four can have two women
  3. A group of four can have all four men
  4. None of these

Q. 10/16

On her walk through the park, Hamsa collected 50 coloured leaves, all either maple or oak. She sorted them by category when she got home, and found the following:
The number of red oak leaves with spots is even and positive.
The number of red oak leaves without any spot equals the number of red maple leaves without spots.
All non-red oak leaves have spots, and there are five times as many of them as there are red spotted oak leaves.
There are no spotted maple leaves that are not red.
There are exactly 6 red spotted maple leaves.
There are exactly 22 maple leaves that are neither spotted nor red.
How many oak leaves did she collect?

  1. 22
  2. 17
  3. 25
  4. 18

Q. 11/16

Eight people carrying food baskets are going for a picnic on motorcycles. Their names are A, B, C, D, E, F, G, and H. They have 4 motorcycles M1, M2, M3 and M4 among them. They also have 4 food baskets O, P, Q and R of different sizes and shapes and each can be carried only on motorcycles M1, M2, M3 and M4 respectively. No more than 2 persons can travel on a motorcycle and no more than one basket can be carried on a motorcycle. There are 2 husband-wife pairs in this group of 8 people and each pair will ride on a motorcycle together. C cannot travel with A or B. E cannot travel with B or F. G cannot travel with F, or H, or D. The husband-wife pairs must carry baskets O and P. Q is with A and P is with D. F travels on M1 and E travels on M2 motorcycles. G is with Q, and B
cannot go with R. Who is travelling with H?

  1. A
  2. B
  3. C
  4. D

Q. 12/16

In a family gathering there are 2 males who are grandfathers and 4 males who are fathers. In the same gathering there are 2 females who are grandmothers and 4 females who are mothers. There is at least one grandson or a granddaughter present in this gathering. There are 2 husband-wife pairs in this group. These can either be a grandfather and a grandmother, or a father and a mother. The single grandfather (whose wife is not present) has 2 grandsons and a son present. The single grandmother (whose husband is not present) has 2 grand daughters and a daughter present. A grandfather or a grandmother present with their spouses does not have any grandson or granddaughter present.
What is the minimum number of people present in this gathering?

  1. 10
  2. 12
  3. 14
  4. 16

Q. 13/16

I have a total of Rs. 1,000. Item A costs Rs. 110, item B costs Rs. 90, item C costs Rs. 70, item D costs Rs. 40 and item E costs Rs. 45. For every item D that I purchase, I must also buy two of item B. For every item A, I must buy one of item C. For every item E, I must also buy two of item D and one of item B. For every item purchased I earn 1,000 points and for every rupee not spent I earn a penalty of 1,500 points. My objective is to maximise the points I earn.

What is the number of items that I must purchase to maximise my points?

  1. 13
  2. 14
  3. 15
  4. 16

Q. 14/16

Four friends Ashok, Bashir, Chirag and Deepak are out for shopping. Ashok has less money than three times the amount that Bashir has. Chirag has more money than Bashir. Deepak has an amount equal to the difference of amounts with Bashir and Chirag. Ashok has three times the money with Deepak. They each have to buy at least one shirt, or one shawl, or one sweater, or one jacket that are priced Rs. 200, Rs. 400, Rs. 600, and Rs. 1,000 a piece respectively. Chirag borrows Rs. 300 from Ashok and buys a jacket. Bashir buys a sweater after borrowing Rs. 100 from Ashok and is left with no money. Ashok buys three shirts. What is the costliest item that Deepak could buy with his own money?

  1. A shirt
  2. A shawl
  3. A sweater
  4. A jacket

Q. 15/16

In a ‘keep-fit’ gymnasium class there are 15 females enrolled in a weight-loss programme. They all have been grouped in any one of the five weight-groups W1, W2, W3, W4, or W5. One instructor is assigned to one weight-group only. Sonali, Shalini, Shubhra and Shahira belong to the same weight-group. Sonali and Rupa are in one weight-group, Rupali and Renuka are also in one weight-group. Rupa, Radha, Renuka, Ruchika, and Ritu belong to different weight-groups. Somya cannot be with Ritu, and Tara cannot be with Radha. Komal cannot be with Radha, Somya, or Ritu. Shahira is in W1 and Somya is in W4 with Ruchika. Sweta and Jyotika cannot be with Rupali, but are in a weight- group with total membership of four. No weight-group can have more than five or less than one member. Amita, Babita, Chandrika, Deepika and Elina are instructors of weight-groups with membership sizes 5, 4, 3, 2 and 1 respectively. Who is the instructor of Radha?

  1. Babita
  2. Elina
  3. Chandrika
  4. Deepika

Q. 16/16

A king has unflinching loyalty from eight of his ministers M1 to M8, but he has to select only four to make a cabinet committee. He decides to choose these four such that each selected person shares a liking with at least one of the other three selected. The selected persons must also hate at least one of the likings of any of the other three persons selected.

M1 likes fishing and smoking, but hates gambling.

M2 likes smoking and drinking, but hates fishing.

M3 likes gambling, but hates smoking,

M4 likes mountaineering, but hates drinking,

M5 likes drinking, but hates smoking and mountaineering.

M6 likes fishing, but hates smoking and mountaineering.

M7 likes gambling and mountaineering, but hates fishing.

M8 likes smoking and gambling, but hates mountaineering.

Who are the four people selected by the king?

  1. M1, M2, M5 and M6
  2. M3, M4, M5 and M6
  3. M4, M5, M6 and M8
  4. M1, M2, M4 and M7