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DR. ANUSHKA VIDHI MAHAVIDYALAYA - LAW COLLEGE UDAIPUR, RAJASTHAN, INDIA
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APTITUDE QUIZ 08/06/2017

APTITUDE QUIZ

Q1.If 50% of x=30%y,then x:y is:

(a) 2:3

(b) 5:3

(c) 3:2

(d) 3:5

 

Q2.If a sinθ + b cos θ =c, then a cosθ – b sin θ is equal to:

(a) ±√(a+b-c)

(b) ± √(a2 +b2+c2)

(c) ±√(a2+b2-c2)

(d) ±√(c2+a2 –b2)

 

Q3.If sin θ + cos θ =√2 sin (90°-θ), then the value of cot θ is:

(a) –√ 2 -1

(b) √2-1

(c) √2+1

(d) √-2+1

 

Q4.If θ is a positive acute angle and 3(sec2 θ +tan2θ) =5,then the value of cos2θ is:

(a) 1/2

(b) 1/√2

(c) √3/2

(d) 1

 

Q5.If xcos2 30°. sin 60° = (tan2 45°.sec 60o)/cosec 60° then the value of x is:

(a) 1/√3

(b) 1/√2

(c) 2 2/3

(d) 1/2

 

Q6.If tan =2, then the value of (cosec2 - sec2)/(cosec2+ sec2)  is:

(a)    -15/9

(b)    -3/5

(c)    3/5

(d)    17/5

 

Q7.If sin (θ+30°) =3/√12, then the value of cos2 θ is:

(a) 1/4

(b) √3/2

(c) 3/4

(d) 1/2

 

Q8.In a right angled triangle ∆PQR, PR is the hypotenuse of length 20 cm, PRQ=30°, The area of the triangle is:

(a) 50 √3 cm2

(b) 100 √3 cm2

(c) 25 √3 cm2

(d) 100 /√3 cm2

 

Q9.If o≤θ≤90° and 4 cos2 θ -4√3 cos θ+3 =0 then the value of θ  is:

(a) 30°

(b) 45°

(c) 90°

(d) 60°

 

Q10.If x:y=3:2,then the value of x+y/x-y is:

(a) 5:1

(b) 1:3

(c) 1:5

(d) 3:1

 

Q11.The value of 1/(1+√2) + 1/(√2 +√3) + 1/(√3+√4) + 1/(√4+√5)  + 1/(√5 +√6) + 1/(√6+√7) +1/(√7+√8)  + 1/(√8 +√9)   is:

(a) 2

(b) 0

(c) 4

(d) 1

 

Q12.While solving a problem, by mistake, Anita squared a number and then subtracted 25 from it rather than first subtracting 25 from the number and then squaring it. But she got the right answer. What was the given number?

(a) 48

(b) 13

(c) Cannot be determined

(d) 38

 

Q13.A General of Army wants to form a square from 36562 armies. After arrangement, he found some armies left. How many armies were left?

(a) 81

(b) 36

(c) 97

(d) 65

 

Q14.The square root of (2+√3)/2 is:

(a) 1/√2(√3+1)

(b) ±1/2(√3-2)

(c) None of these

(d) 1/2(√3-1)

 

Q15.The value of √72+√72+√72+⋯ is:

(a) 9

(b) 8

(c) 18

(d) 12

 

Q16.In a farm there are cows and hens. If heads are counted they are 180, if legs are counted they are 420.The number of cows in the farm is ______.

(a) 130

(b) 150

(c) 50

(d) 30

 

Q17.The number which can be written in the form of n (n+1) (n+2), when n is a natural number, is _________.

(a) 7

(b) 3

(c) 5

(d) 6

 

Q18.The value of (11111)2 is:

(a) 12344321

(b) 121212121

(c) 123454321

(d) 11344311

 

Q19.Two workers A and B are engaged to do a piece of work. A working alone would take 8 hours more to complete the work than when work together. If B worked alone, would take 4 ½ hours more than when work together. The time required to finish the work together is _________.

(a) 5 hours

(b) 4 hours

(c) 8 hours

(d) 6 hours

 

Q20.If a man earns Rs.2000 for his first 50 hours of work in a week and is then paid one and a half times his regular hourly rate for any additional hours, then the hours must he work to make Rs.2300 in a week is ________.

(a) 6 hours

(b) 4 hours

(c) 7 hours

(d) 5 hours

 

-:ANSWERS:-

1ANSWER:D

2ANSWER:C

3ANSWER:C

4ANSWER:A

5ANSWER:C

6ANSWER:B

7ANSWER:C

8ANSWER:A

9ANSWER:A

10ANSWER:A

11ANSWER:A

12ANSWER:B

13ANSWER:A

14ANSWER:C

15ANSWER:A

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