(Paper) The Review of Mock CAT Sample paper 5

The Review of Mock CAT Sample paper 5

 

1. With the vertices of a ΔABC as centres, three circles are described each touching the other two externally. If thesides of the triangle are 4, 6 and 8 cm respectively, the sum of the radii of the three circles equals:

A. 9

B. 10

C. 12

D. 14

 

2. A’s salary is 25% higher than B’s salary, how muchper cent is B’s salary lower than A’s?

A. 33.33%

B. 20%

C. 25%

D. 15%

 

3. A merchant buys two articles for Rs.600. He sells one of them at a profit of 22% and the other at a loss of 8% and makes no profit or loss in the end. What is the selling price of the article that he sold at a loss?

A. Rs 536.80

B. Rs 160

C. Rs 404.80

D. R s 440

 

4. In case Nicholas and Antonio share dinner duty on Monday of some week, and if Antonio and Jeremy share dinner duty on Thursday of the same week, which of the following would be true for that week?

A. Nicholas is on duty alone on Tuesday, and Antonio is on breakfast duty alone on Wednesday.

B. Jeremy is on breakfast duty alone on Tuesday, and Nicholas is on breakfast duty alone on Wednesday.

C. Antonio is on dinner duty alone on Tuesday.

D. Jeremy is on dinner duty alone on Wednesday

 

5. In case Antonio and Jeremy share the dinner duty thrice over a five-day period, which among the following would be true?

A. D. Antonio and Jeremy share dinner duty on the second of the five days.

B. B. Nicholas is on dinner duty alone on the second of the five days.

C. C. Nicholas is on dinner duty alone on the third of the five days.

D. A. Nicholas is on dinner duty alone on the first of the five days.

 

6. An experiment succeeds twice as often as it fails. What is the probability that in the next 5 trials there will be four successes?

A. 5*((2/3)^4)*(1/3)

B. (2/3)^4

C. ((2/3)^4)*(1/3)

 

7. A recently conducted study reveals that the prospects for success in later schooling for 3-5 old children were improved by a particular educational plan. From this it follows that the introduction of similar education plans for all 3-5 year old children will lead to an improvement in their chances for success in later schooling. Which among the following would weaken the above argument if true?

A. D. Many parents are of the view that formal training at an early age takes up the time, which the children could better spend exploring their worlds independently.

B. A. Parents of preschool children in the United States get attracted to fads in the educational field, without having a clear idea of the type of early educational plans which would benefit their children.

C. C. The people who conducted the research included quite a few children who had earlier been exposed to another educational enrichment program.

D. B. The cognitive abilities of children are constantly changing between ages three and five

 

8. A man bets on number 16 on a roulette wheel 14 times and losses each time. On the 15th span he does a quick calculation and finds out that the number 12 had appeared twice in the 14 spans and is therefore, unable to decide whether to bet on 16 or 12 in the 15th span. Which will give him the best chance and what are the odds of winning on the bet that he takes? (Roulette has numbers 1 to 36)

A. 12, 72:1

B. either,35:1

C. 16, 22:14

D. 12,7:1

 

9. A trader buys goods at a 19% discount on the label price. If he wants to make a profit of 20% after allowing a discount of 10%, by what % should his marked price be greater than the original label price?

A. + 8%

B. none of these

C. -3.8%

D. +33.3%

 

10. The Fundamental Duties were incorporated in the Constitution of India by the

A. Forty-second Amendment

B. Tenth Amendment

C. Thirty-second Amendment

D. First Amendment

 

11. If the price of petrol increases by 25% and Raj intends to spend only an additional 15% on petrol, by how much % will he reduce the quantity of petrol purchased?

A. 6.67%

B. 8%

C. 10%

D. 12%

 

12. The weights in kilograms of 10 students are 52, 45,31, 35, 40, 55, 60, 38, 44, 36. If 44 is replaced by 46 and 40 isreplaced by 35 then new median will be:

A. 41

B. 40.5

C. 40

D. 42

 

13. The speed of a metro train is 54 km/hr excludingstoppage time and if including stoppage the speed is 45 km/hr then for how many minutes does it stop per hour?

A. 11

B. 10

C. 20

D. 9

 

14. The circumcentre of a triangle is always the point ofintersection of the:

A. bisectors

B. perpendiculars dropped from the vertices onopposite sides

of the triangle.

C. medians

D. perpendicular bisectors

 

15. For an acute angle è, sin è + cos è takes the greatestvalue when è is

A. 90

B. 45

C. 30

D. 60

 

16. A candidate who gets 20% marks fails by 10 marks but another candidate who gets 42% marks gets 12% more than the passing marks. Find the maximum marks.

A. 50

B. 150

C. 200

D. 100

 

17. The oldest monarchy in the world is that of

A. Japan

B. U K

C. Spain

D. Nepal