[Earn While Learn] Quantitative Aptitude Mock Test - 1

Update 2: Winners and answers of this mock test and some programme updates

Update 1: Ok, answer submission time is over so I have closed the comments for this post. And i will announce the names of winners on 6:30 pm evening. 

For the very first time I am introducing 'Earn While Learn Mock Tests' series in which you will earn money / gifts in answering the questions of mock tests.
  • No. of questions........25
  • For every correct answer......Re. 1
  • For every wrong answer....... - Rs. 0.25
  • For every question left without answer.......Rs. 0
  • Answer submission ends at....26th Feb 2017 at 6:00 pm 
  • Winners will be announced on.....26th Feb 2017 at 6:30 pm

F.A.Q. by participating candidates
  1. Winners.......Top 5 candidates answering all the 25 questions.
  2. Do I need to have a bank?.........YES
  3. How the money will be transferred?.........NEFT
  4. How to post your answer?.....Post your answers in the discussion area below this post (sample attached in the feature comment).
1. The area of an equilateral triangle is 4√3 sq. units. Its perimeter is
  1. 12 cm
  2. 6 cm
  3. 8 cm
  4. 3√3 cm
2. Two circles with centres A and B and radius 2 units touch each other externally at C. A third circle with centre C and radius 2 units meets other two at D and E. Then the area of the quadrilateral ABDE is
  1. 2√2 sq. units 
  2. 3√3 sq. units 
  3. 3√2 sq. units
  4. 2√3 sq. units
3. The value of (2 cos² θ - 1)(1 + tanθ / 1 - tanθ + 1 - tanθ / 1 + tanθ) 
  1. 4
  2. 1
  3. 3
  4. 2
4. If ax + by = 3, bx - ay = 4 and x² + y² = 1, then the value of a² + b²
  1. 1
  2. 25
  3. -1
  4. -25
5. If p,q and r are in Geometric Progression, then which is true among the following?
  1. q = (p + r) / 2 
  2. p² = qr
  3. q = √pr
  4. p / r = r / q 
6. A man can swim at the rate of 4 km/h in still water. If the speed of the water is 2 km/h, then the time taken by him to swim 10 km upstream is 
  1. 2 ½ hrs
  2. 3 ½ hrs
  3. 5 hrs
  4. 4 hrs 
7. 3 men and 4 boys can complete a piece of work in 12 days, 4 men and 3 boys can do the same work in 10 days. Then 2 men and 3 boys can finish the work in number of days is 
  1. 2 ½
  2. 5 5⁄11
  3. 8
  4. 22
8. The compound interest on a certain sum of money for 2 years at 10% p.a. is Rs. 420. The simple interest on the same sum at the same rate and for the same time will be
  1. Rs. 350
  2. Rs. 375
  3. Rs. 380
  4. Rs. 400

9. Divide Rs. 800 into two parts so that S.I. on the first part for 3 1⁄3 years at 6% may be equal to the interest on the second part for 3 1⁄2 years at 4% p.a. 
  1. Rs. 2600 Rs. 4200
  2. Rs. 2800 Rs. 4000
  3. Rs. 2500 Rs. 4300
  4. Rs. 2700 Rs. 4100
10. If a man receives on one-fourth of his capital 3% interest, on two-third 5% and on the remaining 11%, the percentage he receives on the whole is
  1. 4.5 
  2. 5
  3. 5.5
  4. 5.2

11. Ramesh bought 10 cycles for Rs. 500 each. He spent Rs. 2000 on the repair of all cycles. He sold five of them for Rs. 750 each and the remaining for Rs. 550 each. Then the total gain or loss % is
  1. Gain of 8 ⅓ %
  2. Loss of 8 ⅓ %
  3. Gain of 7 ⅔ %
  4. Loss of 7 1⁄7 %
12. A sold a tape-recorder to B for Rs. 4860 at a loss of 19%. Again B sold to C at a prize that would give A a profit of 17%. The gain of B is 
  1. 22 2⁄9 %
  2. 33 1⁄3 %
  3. 44 4⁄9 % 
  4. 66 2⁄3 % 
13. 90% of students in school passed in English, 85% passed in Maths and 150 students passed in both the subjects. if no student failed in both the subjects find the total number of students.
  1. 120
  2. 220
  3. 200
  4. 300
14.  Two numbers are such that the square of one is 224 less than 8 times the square of the other. If the numbers are in the ratio of 3:4, then their values are
  1. 12, 16
  2. 6, 8 
  3. 9, 12
  4. 12, 9
15. The average age of a family of 10 members is 20 years. If the age of the youngest member of the family is 10 years, then the average age of the family members just before the birth of the youngest member was approximately 
  1. 27.14 years 
  2. 12.5 years 
  3. 14.28 years 
  4. 11 1⁄9 years 
16. The average pocket money of 3 friends A, B and C is Rs. 80 in particular month. If B spends double and C spends triple of what A spends during that month and if the average of their unspent pocket money is Rs. 60, then A spends
  1. Rs. 10
  2. Rs. 20
  3. Rs. 30
  4. Rs. 40

17. If the area of  rectangle be (x² + 7x + 10) sq. cm the one of the possible perimeters of it is
  1. (4x + 14) cm 
  2. (2x + 14) cm 
  3. (x + 14) cm 
  4. (2x + 7) cm 
18. The last digit of 3⁴⁰ is 
  1. 1
  2. 3
  3. 7
  4. 9
19. Three interior angles of quadrilateral are 60°, 120°, 90°. The remaining angle in circular measure is given by 
  1. 𝝿ᶜ / 3
  2. 𝝿ᶜ / 2
  3. 𝝿ᶜ / 4
  4. 3𝝿ᶜ / 4
20. The H.C.F. of a,b is 12, a, b are positive integers and  a > b > 12. The smallest values of  (a,b) are respectively 
  1. 12. 24
  2. 24, 12
  3. 24, 36
  4. 36, 24
21. The number of odd composite divisors of 1848 is 
  1. 4
  2. 3
  3. 2
  4. 1
22. A person gives ¼ of his property to his daughter, 1⁄2 to his sons and 1⁄5 for charity. How much has he given away?
  1. 1⁄20
  2. 19⁄20
  3. 1⁄10
  4. 9⁄10 

Directions (23-25) The following pie-chart diagram shows the expenditure incurred on the preparation of a book by a publisher, under different heads. Study the pie-chart diagram and answer the following questions.

23. Angle of the pie-chart representing expenditure incurred on paying royalty is 
  1. 27°
  2. 36°
  3. 15°
  4. 54°
24. If the expenditure on printing and binding of one book is Rs. 110, then the cost of production of the book is
  1. Rs. 250
  2. Rs. 200
  3. Rs. 110
  4. Rs. 550
25. If cost of publishing a book is Rs. 200, then printing cost is
  1. Rs. 40
  2. Rs. 60
  3. Rs. 20
  4. Rs. 50

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