APTITUDE QUIZ FOR 28th OCTOBER 2017

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APTITUDE QUIZ

Q1.In a triangle ABC, the bisectors of B and C intersect each other at a point O. If BAC=50 , then BOC =?

(a) 115

(b) 65

(c) 105

(d) 90

 

Q2.In the following figure, AB || CD. Find the value of x.

(a) 185

(b) 285

(c) 175

(d) 275

 

Q3.ABC is a triangle in which AB=AC. BA is produced to D such that AB=AD. BCD is equal to

(a) 60

(b) 80

(c) 90

(d) 45

 

Q4.If the bisector of vertical angle of a triangle bisects the base, the triangle is

(a) Equilateral

(b) Isosceles

(c) Right angled

(d) Scalene

 

Q5.Points D, E and F are the mid points of the sides BC, CA and AB respectively. The area of the parallelogram BDEF is equal to

(a) ½ ∆ ABC

(b) 1/3 ∆ ABC

(c) ½ ∆ DEF

(d) ∆ DEF

 

Q6.ABCD is a quadrilateral such that D=90 . A circle C (0, r) touches the sides AB, BC, CD and DA at P, Q, R and S respectively. If BC = 38cm, CD = 25 cm, and BP = 27cm, find r.

(a) 12 cm

(b) 10 cm

(c) 15 cm

(d) 14 cm

 

Q7.If ∆ ABC ~ ∆ DEF such that area of ∆ ABC is 9cm2 and the area of ∆ DEF is 16 cm2 and BC = 2.1 cm, find the length of EF.

(a) 2 cm

(b) 2.06 cm

(c) 2.8 cm

(d) 3.8 cm

 

Q8.If the sum of two angles of a triangle be 105°, the radium measure of third angle will be

(a) π /3

(b) π /4

(c) 2π /3

(d) 5π/12

 

Q9. If cot θ=12/7 find the value of [ (2+2sinθ)(1-sinθ)/(1+cosθ)(2-2cosθ)] – 1 is

(a) 95/49

(b) 49/95

(c) 5/7

(d) 7/5

 

Q10.(sin θ  + cosec θ)2 + 3 +(cos θ + sec θ)2  =?

(a) 7+tan2θ  +cot2 θ

(b) 10+tan2 θ+ cot2 θ

(c) 15+ tan2 θ+ cot2 θ

(d) None of these

 

Q11.Ravi purchased an article marked at Rs.21000 at 5% discount. The rate of sales tax on the article is 10%.Money paid by Ravi to purchase the article is

(a) Rs.19,845

(b) Rs.19,950

(c) Rs.23,100

(d) Rs.21,945

 

Q12.A single discount equivalent to two successive discounts of 12 ½ % and 20% is

(a) 33%

(b) 32 ½%

(c) 32%

(d) 30%

 

Q13.A Kinetic Honda covers a distance of 140 km in 2 hours and 20 minutes while a car covers the same distance in 1 hour and 40 minutes. What is the ratio of their speeds?

(a) 6:7

(b) 3:7

(c) 4:7

(d) 5:7

 

Q14.In a mixture of 35 litres, the ratio of milk and water is 4:1.How many litres of water must be added to make the ratio 2:3?

(a) 70

(b) 28

(c) 40

(d) 35

 

Q15.The greatest fraction out of 2/5,5/6,7/8 and 11/12 is

(a) 2/5

(b) 7/8

(c) 5/6

(d) 11/12

 

Q16.Find the odd one out:

  1, 5, 14, 30, 50, 55, 91

(a) 91

(b) 5

(c) 50

(d) 55

 

Q17.If x men can do a piece of work in x days working x hours a day in how many days can y men do the same work working y hours a day?

(a) X3y2

(b) y

(c) x2/y3

(d) x3/y2

 

Q18.A and B together can complete a work in 12 days. A alone can complete it in 20 days. If B now does the work only for half a day daily, then the number of days required to complete the work by A and B together is

(a) 15

(b) 14

(c) 16

(d) 18

 

Q19.A pump can fill a cistern in 40 minutes and another pump can empty the filled up cistern in 1 hour. By mistake, without closing the second pump, the first pump is opened. The time in which the empty cistern will be filled up is

(a) 4 hours

(b) 1 hour

(c) 2 hour

(d) 3 hours

 

Q20.The diameter of roller is 84 cm and its length is 120 cm.It makes 500 complete revolutions to move once over to level a playgroung.Find the area of the playground in sq.m. (π =22/7)

(a) 1594 sq.m.

(b) 1580 sq.m.

(c) 1584 sq.m.

(d) 1590 sq.m.

 

-:ANSWERS:-

1ANSWER:A

2ANSWER:B

3ANSWER:C

4ANSWER:B

5ANSWER:A

6ANSWER:D

7ANSWER:C

8ANSWER:D

9ANSWER:A

10ANSWER:B

11ANSWER:D

12ANSWER:D

13ANSWER:D

14ANSWER:D

15ANSWER:D

16ANSWER:C

17ANSWER:D

18ANSWER:A

19ANSWER:C

20ANSWER:C