### Quant Quiz

**Q1. Four equal circles are described about the four corners of a square so that each touches two of the others. If each side of the square is 14 cm, then the area enclosed between the circumferences of the circles is –**

1) 24 sq. meters 2) 42 sq. meters 3) 154 sq. meters 4) 196 sq. meters

5) None of these

**Q2. The length of a room is double the breadth. The cost of colouring the roof at Rs. 50 per square meter is Rs.10,000 and the cost of painting the four walls at Rs. 480 per square meter is Rs. 129,600. Find the height of the room.**

1) 4.5 meters 2) 5.7 meters 3) 4.6 meters 4) 5.6 meters 5) None of these

**Q3. A sphere of radius 6 cm. is dropped into a cylindrical vessel partly filled with water. The radius of the vessel is 12 cm. If the sphere is submerged completely, then the surface of the water is increased by –**

1) 1 cm 2) 3 cm 3) 2 cm 4) 5 cm 5) None of these

**Q4. The diameter of the wheel of a bus is 70 cm. How many revolutions per minute must the wheel make in order to keep a speed of 33 km/hr?**

1) 350 2) 250 3) 341 4) 441 5) None of these

**Q5. If the probability of police raid on any given day in the house of a criminal is 50%, then what is the probability that the police raids on exactly 3 days in a five-day period?**

1) 3/16 2) 4/16 3) 8/11 4) 7/9 5) None of these

**Q6. Three of the men participating in a race are A, B and C. The probability of A winning the race is 1/12, the probability for B winning the race is 1/5 and for C is 2/13. If dead heat among them is possible, what is the robability that only one of the three winning the race?**

1) 253/768 2) 263/768 3) 453/786 4) 373/441 5) None of these

**Q7. Ajay marks up the prices of articles by 50% and he sells only 40% of those at this price. He sells half of the remaining at 14 2/7% discount and remaining at 25% discount. What is net profit of Ajay?**

1) 23.5% 2) 8 3/14% 3) 24.5% 4) 44.5% 5) None of these

**Q8. The price of a commodity to sell it was set in a manner so that the shopkeeper earns 25% profit. Had he bought it at 15% less and sold it at Rs. 35 less then he would have earned 30% profit. Find the cost price. (in Rs.)**

1) 241 11/29 2) 231 44/49 3) 37.375 4) 4035 5) None of these

**Q9. The difference between the compound interest and simple interest earned on a sum of Rs. 23,700 in 3 years is Rs. 1253.6589. Find the rate per cent.**

1) 11% 2) 12% 3) 13% 4) 14% 5) None of these

**Q10. 4 litres of wine are drawn from a cask containing 40 litres of wine and It is replaced by water. The process is repeated 5 times. Find out the ratio of wine to water finally. (Approximately)**

1) 3 : 2 2) 2 : 3 3) 4 : 5 4) 5 : 6 5) None of these

Answer & Explanation

- 2

Area of the square = 196 sq cm

Area of the four quadrants = Area of the circle with radius

= 7 cm

= 22/7 × 72 = 154 sq. cm.

Required Area = 196 – 154 = 42 sq. cm.

- 1

Let the length be l so breadth = l/2

Now, l × l/2 = 10000/50

l^2 = 400

l = 20

Now, 2lh + 2 × l/2 × h = 129600/480

3lh = 27

h = 270/(3*20)

h = 4.5 m.

- 3

Let h be the height up to the level of water in the cylinder.

Volume of water in the cylinder = 22/7 r^2 h = 22/7 * 144 * h

Let h1 be the height to which the water level is raised.

22/7 * 144 * (h1 – h) = 4/3 * 22/7 * 216

h1 – h = 2cm

- 2

Distance in 60 minutes = 33000 meters

In 1 min distance = 33000/60 = 550 m

Hence, number of revolutions per minute = 550/(2*22/7*0.35) = 250

- 5

Probability that the house could be raided on any day in 5–

day period = 1/2 * 1/2 * 1/2 * 1/2 * 1/2 = 1/32

Required probability = 5C3 * 1/32 = 10/32 = 5/16

- 5

The probability of any one winning the race given that

dead heat is possible is

P (A wins, B loses and C loses) + P (B wins, A loses and C loses) + P (C wins, B loses and A loses), i.e.,

1/12 * 4/5 * 11/13 * 1/5 * 11/12 11/13 * 2/13 * 11/12 * 4/5

= 11/195 + 121/780 + 22/195

= 33/195 + 121/780

= 253/780

- 2; Let the no. of articles be 100

Let the C.P of 1 article = Rs. 1

Total C. P = Rs. 100

Total selling price = 40×1.5 + 30 ×6/7 + 30×0.75 = 108 3/14

%Profit = 108 3/14 – 100 = 8 3/14%

- 1

When difference in SP is Rs. 14.5 then C.P is Rs. 100

if difference in S.P is Rs. 35 then C.P = 100/14.5 * 35 = Rs. 241 11/29

- 3; C.I – S.I = Rs. 1253.6589

1253.6589/23700 * 100 = 5.2897 % of the sum

We know that 13% is the required rate of interest because in 3 yrs, CI became 44.2897% of the sum and SI remains 39% of the sum, the difference is 5.2897%.

So option 3 is correct.

- 1

Amount of wine left = 40 * 9/10 * 9/10 * 9/10 * 9/10 * 9/10 = 23.61 litres

Water = 40 – 23.61 = 16.38

Approximate ratio = 24 : 16 = 3 :2

### Reasoning Quiz

**Directions (Q.1-5) : Study the following information carefully and answer the questions given below:**

Pinki, Queen, Rinky, Simran, Twinkle, Unno, Vartika and Willy are sitting around a circular table facing the centre. Each has different professions – DOCTOR, TEACHER, HR, SINGER, PROFESSOR, MECHANIC, PLUMBER and ENGINEER but not necessarily in the same order.

Queen sits second to the left of ‘Willy’ s husband, who is neither an SINGER nor a Plumber. No female is an immediate neighbour of Queen. Simran’s daughter sits second to the right of Unno and on the immediate left of HR. Unno, who is sister of Vartika, is a Plumber. Unno is not an immediate neighbour of Willy’s husband. Simran’s daughter is a DOCTOR. Only one person is sitting between Pinki and Unno. Willy’s brother Simran sits on the immediate left of his mother, who is an MECHANIC. Pinki is the father of Vartika. Only one person sits between Willy’s mother and Twinkle. Twinkle sits on the immediate right of the person who is a TEACHER.

Only one person sits between Willy and Vartika. Vartika sits second to the right of the person who is a engineer. Vartika is mother of Rinky and not an immediate neighbour of Twinke.

**Q1.Who amongst the following is Simran’s daughter?**

1. Queen 2. Rinki 3. Twinke 4. Vartika 5. Willy

**Q2.Four of the following five are alike in a certain way based on the given information and so form a group. Which is the one that does not belong to that group?**

1. Unno 2. Rinki 3. Twinke 4. Willy 5. Vartika

**Q3.The person who is a Professor is sitting between which of the following persons?**

1. DOCTOR and SINGER 2. MECHANIC and DOCTOR 3. TEACHER and HR 4. can’t be determined

5. None of these

**Q4.Who among the following is an Engineer?**

1. can’t be determined 2. Mother of Rinki 3. Rinki 4. Pinky 5. None of these

**Q5.What is the position of Pinki with respect to his grandson?**

1. Immediate left 2. Third to the right 3. Immediate right 4. Second to the right 5. Fourth to the left

**Directions (Q. 6-10) : In each of these questions, there are two conclusions I and II. Assume the statements to be true even if the very with facts. Choose your answer as**

**1) if only conclusion I follows.**

**2) if only conclusion II follows.**

**3) if either conclusion I or conclusion II follows.**

**4) if neither conclusion I nor II follows.**

**5) if both conclusions I and II follows.**

(6-7) :

**Statements: **Some honey are tears. All sweets are honey. All tears are waters. No sugar is sweet.

**Q6.Conclusions: **I. All sugars being waters is a possibility. II. Some sugars can never be tears.

**Q7.Conclusions: **I. All waters being honey is a possibility. II. All sugars, if they are sweets, cannot be waters.

(8-10):

**Statements: **All movies are dramas. All movies are fake. Some dramas are not films.

**Q8.Conclusions: **I. No film is a fake. II. Some films which are dramas are also fake.

**Q9.Conclusions: **I. All films being movies is a possibility. II. Some fake which are not movies are dramas.

**Q10.Statements: **No wire is a tab. All tabs are computers. All wires are laptops.

**Conclusions: **I. Some wires which are computers may also be tabs. II. Some laptops, if they are tabs, must be computers.

Answers

1. 3 2. 2 3. 5 4. 3 5. 3 6. 1 7. 1 8. 4 9. 1 10.2

### ENGLISH QUIZ

**Directions (Q. 1-5): Each question below has two blanks, each blank indicating that something has been omitted. Choose the set of words for each blank that best fits the meaning of the sentence as a whole.**

**Q1. Many teachers…………the lack of professional freedom as the…………for leaving the job.**

(1) cited, reason (2) explained, force (3) claimed, understanding (4) argued, culprit

(5) believe, ground

**Q2. Skeptics would not…………that the Earth actually moves, let alone that it…………around the Sun.**

(1) permit, orbits (2) accept, revolves (3) experience, circles (4) assume, went (5) challenge, spins

**Q3. Unpredictable…………of the child could not lead the consultants to any………… .**

(1) performance, setting (2) belief, judgement (3) operation, purpose

(4) behavior, conclusion (5) react, decision

**Q4. A public servant who is guilty will not…………punishment and no…………person will be punished.**

(1) be, sincere (2) flee, guilty (3) defend, common (4) avoid, uniformed (5) escape, innocent

**Q5. Few professions can…………the sheer variety and constant…………of being a doctor. **

(1) like, struggle (2) share, enthusiast (3) match, challenge (4) draw, work-load

(5) justify, exception

**Directions (Q. 6-10): Read each sentence to find out whether there is any grammatical error in tit. The error, if any, will be in one part of the sentence. The number of that part is the answer. If there is no error, the answer is (5) i.e., ‘No error’. (Ignore the error of punctuation, if any.)**

**Q6 The revised government’s (1)/ guidelines have reduced (2)/ the number of mergers (3)/ taking place among banks. (4)/ No error (5)**

**Q7. I do not know (1)/ who of the (2)/ new trainees should (3)/ be confirmed. (4)/ No error (5)**

**Q8. To promote India as (1)/ a tourist destination (2)/ the government has organized (3)/ many cultural programmes. (4)/ No error (5)**

**Q9. Banks in India (1)/ cannot open ATMs (2)/ except obtaining (3)/ approval from RBI. (4)/ No error (5)**

**Q10. Today the success of (1)/ companies depends on the (2)/ quality of their products and (3)/ efficient managing staff. (4)/ No error (5)**

Answers

1. 1 2. 2 3. 4 4. 3 5. 3 6. 1 7. 2 8. 3 9. 3 10.4

### Computer Quiz

**Q1.** What does dots per inch (DPI) measure?

1. Number of bits it takes to represent each color 2. The output resolution of a printer or image setter

3. The density of bits on a disk 4. Density of graphic files stored on a hard disk 5. None of the above

**Q2.** An image on a computer screen is made up of a matrix of what?

1. Bit 2. Palette 3. Pixels 4. Byte 5. None of the above

**Q3.** What is known as knowledge discovery in database?

1. Encryption 2. Data Mining 3. Data Warehousing 4. Relational Database 5. None of the above

**Q4.** ____________Command we can use to close the windows.

1. Alt+ F1 2. Alt+F4 3. Alt+ End 4. Alt+ S 5. None of the above

**Q5.** What is the newest type of database, which is well suited for multimedia applications, called?

1. Multimedia database 2. Client/server database 3. Data warehouse 4. Object-oriented database 5. None of the above

**Q6.** Which of the following companies developed MS Office-2000?

1. Novell 2. Lotus 3. Corel 4. Microsoft 5. None of the above

**Q7.** Which of the following groups contains graphical file extensions?

1. JPG, GIF, BMP 2. GIF, TCF, WMF 3. TCP, JPG, BMP 4. ADP, GIF, PPT 5. JPG, CPX, GCM

**Q8.** What type of software creates a smaller file that is faster to transfer over the Internet?

1. Compression 2. Unzipped 3. MPEG 4. Fragmentation 5. None of the above

**Q9.** Ethernet usually uses which topology?

1. Rhombus topology 2. Ring topology 3. Bus topology 4. Mesh topology 5. None of the above

**Q10.** A computer cannot “boot” if it does not have the

1. Compiler 2. Loader 3. Internet 4. Assembler 5. Operating system

Answers

1.2 2.3 3.2 4.2 5.4 6.4 7.1 8.1 9.3 10.5