(Paper) The Review of Mock CAT Sample paper 2

The Review of Mock CAT Sample paper 2

 

1. A and B weave a carpet in 10 days and 15 daysrespectively. They begin to work together but B leaves after 2days. In what time will A complete the remaining work

A. 8 days

B. 623 days

C. 7 days

D. 613 days

 

2. Find the value of p and q such that the equation x2 + px + q = 0 has 5 +3i as a root, where i =1

A. p=11;q=35

B. p = 10, q= 34

C. p=1;q=1

D. p=12;q=10

 

3. Some children were taking free throws at the basketball court in school during lunch break. Below are some facts about how many baskets these children shot. i. Ganesh shot 8 baskets less than Ashish. ii. Dhanraj and Ramesh together shot 37 baskets. iii. Jugraj shot 8 baskets more than Dhanraj. iv. Ashish shot 5 baskets more than Dhanraj. v. Ashish and Ganesh together shot 40 baskets. Which of the following statements is true?

A. Dhanraj and Jugraj together shot 46 baskets

B. Ramesh and Jugraj together shot 29 baskets.

C. Dhanraj shot 3 more baskets than Ramesh.

D. Ganesh shot 18 baskets and Ramesh shot 21 baskets.

 

4. read the poem and answer the questions as below As you set out for Ithaka hope the journey is a long one, full of adventure, full of discovery. Laistrygonians and Cyclops, angry Poseidon - don't be afraid of them: you'll never find things like that on your way as long as you keep your thoughts raised high, as long as a rare excitement stirs your spirit and your body. Laistrygonians and Cyclops, wild Poseidon - you won't encounter them unless you bring them along inside your soul, unless your soul sets them up in front of you. Hope the voyage is a long one, may there be many a summer morning when, with what pleasure, what joy, you come into harbours seen for the first time; may you stop at Phoenician trading stations to buy fine things, mother of pearl and coral, amber and ebony, sensual perfume of every kind - as many sensual perfumes as you can; and may you visit many Egyptian cities to gather stores of knowledge from their scholars. Keep Ithaka always in your mind. Arriving there is what you are destined for. But do not hurry the journey at all. Better if it lasts for years, so you are old by the time you reach the island, wealthy with all you have gained on the way, not expecting Ithaka to make you rich. Ithaka gave you the marvellous journey, without her you would not have set out. She has nothing left to give you now. And if you find her poor, Ithaka won't have fooled you. Wise as you will have become, so full of experience, you will have understood by then what these Ithakas mean. The poet recommends a long journey. Which of the following is the most comprehensive reason for it?

A. You can buy a variety of fine things

B. You can gain knowledge as well as sensual experience

C. You can experience the full range of sensuality.

D. You can visit new cities and harbours

 

5. If 6440 soldiers were asked to stand in rows to forma perfect square, it was found that 40 soldiers were left out.What was the number of soldiers in each row?

A. 64

B. 80

C. 60

D. 40

 

6. Some children were taking free throws at the basketball court in school during lunch break. Below are some facts about how many baskets these children shot. i. Ganesh shot 8 baskets less than Ashish. ii. Dhanraj and Ramesh together shot 37 baskets. iii. Jugraj shot 8 baskets more than Dhanraj. iv. Ashish shot 5 baskets more than Dhanraj. v. Ashish and Ganesh together shot 40 baskets Which of the following statements is true?

A. Dhanraj shot 11 baskets and Ashish shot 16 baskets

B. Ramesh shot 18 baskets and Dhanraj shot 19 baskets

C. Ganesh shot 24 baskets and Ashish shot 16 baskets

D. Jugraj shot 19 baskets and Dhanraj shot 27 baskets.

 

7. read the poem and answer the questions as below As you set out for Ithaka hope the journey is a long one, full of adventure, full of discovery. Laistrygonians and Cyclops, angry Poseidon - don't be afraid of them:you'll never find things like that on your way as long as you keep your thoughts raised high,as long as a rare excitement stirs your spirit and your body.Laistrygonians and Cyclops,wild Poseidon - you won't encounter them unless you bring them along inside your soul, unless your soul sets them up in front of you. Hope the voyage is a long one, may there be many a summer morning when,with what pleasure, what joy, you come into harbours seen for the first time; may you stop at Phoenician trading stations to buy fine things,mother of pearl and coral, amber and ebony,sensual perfume of every kind -as many sensual perfumes as you can; and may you visit many Egyptian cities to  gather stores of knowledge from their scholars. Keep Ithaka always in your mind. Arriving there is what you are destined for.But do not hurry the journey at all.Better if it lasts for years,so you are old by the time you reach the island, wealthy with all you have gained on the way,not expecting Ithaka to make you rich. Ithaka gave you the marvellous journey, without her you would not have set out. She has nothing left to give you now.And if you find her poor, Ithaka won't have fooled you. Wise as you will have become, so full of experience, you will have understood by then what these Ithakas mean. Which of the following best reflects the central theme of this poem?

A. You cannot reach Ithaka without visiting Egyptian ports

B. The longer the journey the greater the experiences you gather

C. If you don't have high expectations, you will not be disappointed

D. Don't rush to your goal; the journey is what enriches you

 

8. Choose the word/phrase nearest in meaning to the underlined part from the four alternatives given under He (collapsed) following a vigorous exercise session at the gym.

A. relaxed

B. gasped

C. died

D. fainted

 

9. In a tractor there are four type of wheels. According to their positions, we call them T1 , T2, T3 and T4 wheels. When the tractor move for 36 feet, T1 makes 3 more revolutions than T2, T2 makes 3 more revolutions than T3, T3 makes 2 more revolutions than T4, T1 makes 8 more revolutions than T4. Find the ratio of the radii of wheels T1, T2, T3 and T4

A. 3:4:6:9

B. data inadequate

C. 3:4:5:9

D. 3:4:7:9

 

10. A man walks 17 kms towards south then turns to west andcontinues to walk 24 kms and finally turns to north and walks 10 kms, thedistance of the terminal point from the starting point is

A. 30

B. 25

C. 17

D. 15

 

11. According to the laws pertaining to the use of recyclable containers, beverages are sold only in reusable containers. The people who object to such laws point out that the collection of reusable bottles requires gasoline,and washing them requires water; but, it takes less water to wash these containers than it does to make throwaway bottles. The expenditure saved due to the saved water exceeds the cost of the gasoline used to transport empty bottles. The above passage directly answers which of the below mentioned objections to recyclable beverage containers?

A. A. It is likely that consumers will continue to discard even the recyclable containers.

B. D. Recycling would be detrimental to the glass and plastic industries, which produce containers.

C. B. Consumers will find it an inconvenience to return bottles

D. C. The extra expense involved in recycling would raise the prices of beverages.

 

12. From a group of 10 teachers, a committee of N teachers has to be formed. What is the value of N? (1) There are 120 ways to form the required committee (2) If the group had 2 more teachers, there would be 220 ways to form the required committee

A. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient

B. Statement (2) ALONE is sufficient, but Statement (1) alone is not sufficient

C. Statements (1) and (2) TOGETHER are NOT sufficient

D. . Statement (1) ALONE is sufficient, but Statement (2) alone is not sufficient

 

13. How old is Gloria? 1) Gloria's age is four times Alex's age plus Becky's age. 2) Becky was Alex's age fifteen years ago

A. If statements (1) and (2) taken together are not sufficient to answer the question, requiring more data pertaining to the problem.

B. if statement (1) by itself is sufficient to answer the question, but statement (2) by itself is not; if statement (2) by itself is sufficient to answer the question, but statement (1) by itself is not;

C. If either statement by itself is sufficient to answer the question

D. ) if statements (1) and (2) taken together are sufficient to answer the question, even though neither statement by itself is sufficient;

 

14. If both 112 and 33 are factors of the number a * 43 * 62 * 1311, then what is the smallest possible value of a?

A. 363

B. 33

C. 121

D. 3267

 

15. In Δ ABC, ABC ∠ = 90°, AB = 4 cm, BC = 3 cm. M is the midpoint of AB and a line parallel to BC pass through M and at N on AC. Thelength of CN is:

A. 2.5

B. 4.5

C. 4

D. 3.5

 

16. A shopkeeper is very particular that the amount for which he buys and sells goods always include the digit ‘9’ in it and the price is always an integral value. More ever, the digits should not add up to 13 or a multiple of 13. If the lowest price that he can buy an item at is Rs.400 and the highest price he can sell it for is Rs. 899, the maximum profit possible is (in Rs.)

A. 498

B. 479

C. 499

D. 489

 

17. In general, the terms entrepreneur and SME’s (small and medium enterprises) are used in conjunction with each other. But entrepreneurship is not just about owning a small business. The very basis of entrepreneurship, irrespective of the size of the organization, lies in its ability to create new products/ services, and devising new ways of implementing the existing or new products. Which of the following best sums up the above passage?

A. Entrepreneurs are the main actors in economic growth.

B. The major characteristic of entrepreneurs is their ability to

introduce new products/services into the market.

C. An owner of a large business may be an entrepreneur.

D. Entrepreneurs do not own or operate small business.

 

18. In the paragraph below, each line numbered 1 to 4 has one wrong word. Locate the wrong word. Then, identify which response option (A, B, C, or D), given below, has the correct combination of words that would make the paragraph read correctly. 1. At times our respirations seem more than wishful dreams. With a 2. sluggish global economy, slumping housing valuables, a tight 3. job market and rising costs for essentials such as healthy care and 4. tuition, achieving financial prosperity appears even more remotely

A. 1. aspirations. 2. values. 3. health. 4. remote.

B. 1. timely. 2. tightly. 3. carefully. 4. finance.

C. 1. perspiration. 2. ticklish. 3. rousing. 4. appeals.

D. 1. bashful. 2. dumping. 3. essentially. 4. prosperous.

 

19. A spherical ball of radius 'r' placed on the ground subtends an angle of 600 at point A of the ground. What is the distance between the center of the ball and the point A?

A. none of these

B. 0.5r

C. r

D. 2r

 

20. Which among the following assumptions are used in the above premises? I.When a person is married, he or she loses his or her own identity and is no longer accountable to himself or herself. II.Married persons do not find contentment as opposed to unmarried people. III.There has been a steady increase in the divorce rate.

A. III only

B. I and II only

C. I, II, and III

D. I only

 

21. The number of tangents that can be drawn to twononintersecting circles is

A. 1

B. 4

C. 2

D. 3