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
