Q21. In a triangle the length of the side opposite the angle which measures 30Β° is 9 cm, what is the length of the side opposite to the angle which measures 60Β°?

A) 3/2 cm

B) 3√3 cm

C) 9√3 cm

D) 9/2 cm

βœ” Correct Answer: 9√3 cm

View Explanation β†’

Q22. Raj left for his office in a car. He drove 15 km towards North and then 10 km towards West. He then turned to the South and covered 5 km. Further heΒ turned to the East and moved 8 km. Finally he turned right and drove 10 km. In which direction is he from his starting point?

A) North

B) West

C) East

D) South

βœ” Correct Answer: West

View Explanation β†’

Q23. Which of the set of three sides can't form a triangle?

A) 5 cm, 8 cm, 15 cm

B) 5 cm, 6 cm, 7 cm

C) 6 cm, 7 cm, 11 cm

D) 8 cm, 15 cm, 18 cm

βœ” Correct Answer: 5 cm, 8 cm, 15 cm

View Explanation β†’

Q24. The first and last terms of an arithmetic progression are 25 and Β­52. What is the sum of the series if it has 12 terms?

A) -110

B) -162

C) 110

D) 162

βœ” Correct Answer: -162

View Explanation β†’

Q25. If cos 2Ο€/3c = x, then the value of x is

A) 1/2

B) -1/2

C) √3/2

D) -√3/2

βœ” Correct Answer: -1/2

View Explanation β†’

Q26. Find out the odd word/letters/number/number pair from the given alternatives.

A) Turtle

B) Fish

C) Frog

D) Crocodile

βœ” Correct Answer: Fish

View Explanation β†’

Q27. Find the value ofΒ 777777?

A) 7164

B) 73164

C) 7764

D) 76364

βœ” Correct Answer: 76364

View Explanation β†’

Q28. What is the simplified value ofΒ 0.072+0.292-0.02030.073+0.293

A) 0.06

B) 0.6

C) 1/0.06

D) 1/0.6

βœ” Correct Answer: 1/0.6

View Explanation β†’

Q29. The figure shown below consists of the tangents at the extremeties of any chord. Choose the correct option given below.

A) ∑APC = ∑BPC

B) ∑PAC = ∑PBC

C) All options are correct

D) βˆ†PACΒ β‰…Β βˆ†PBC

βœ” Correct Answer: All options are correct

View Explanation β†’

Q30. An equal sum is invested in two different schemes. One scheme gives simple interest and the other gives compound interest (annual compounding). The total interest obtained after 2 years from both the schemes together is Rs 2090. If both the schemes have 18% per annum interest rate, then what is the first year interest (in Rs) of simple interest scheme?

A) 500

B) 1000

C) 1045

D) 545

βœ” Correct Answer: 500

View Explanation β†’

Q31. IfΒ a2+1a2Β =Β 38, then find the value ofΒ a-1a?

A) 4

B) 2

C) 8

D) 6

βœ” Correct Answer: 6

View Explanation β†’

Q32. Which of the following cube in the answer figure cannot be based on the unfolded cube in the question figure?

A) 2

B) 1

C) 4

D) 3

βœ” Correct Answer: 4

View Explanation β†’

Q33. CAT : MOUSE as SNAKE :

A) Mongoose

B) Reptile

C) Poison

D) Hole

βœ” Correct Answer: Mongoose

View Explanation β†’

Q34. If Rs. 87 was divided between James and Radha in the ratio 1: 2, how much money did Radha get?

A) Rs. 57

B) Rs. 29

C) Rs. 59

D) Rs. 58

βœ” Correct Answer: Rs. 29

View Explanation β†’

Q35. Select the image that will correctly fit in the blank space of the following figure.

A) 2

B) 1

C) 4

D) 3

βœ” Correct Answer: 2

View Explanation β†’

Q36. If tanΞΈ + cotΞΈ = 5, then the value ofΒ tan2ΞΈΒ +Β cot2ΞΈΒ is

A) 23

B) 22

C) 25

D) 24

βœ” Correct Answer: 23

View Explanation β†’

Q37. IfΒ x4+1x4=119,Β then the value ofΒ x-1xΒ is

A) 12

B) 6

C) 3

D) 11

βœ” Correct Answer: 3

View Explanation β†’

Q38. Select the odd word/letters/number/number pair from the given alternatives.

A) 4541

B) 3425

C) 6783

D) 5661

βœ” Correct Answer: 6783

View Explanation β†’

Q39. If cos 135Β° = x, then the value of x is

A) -√3/2

B) -1/√2

C) 2

D) -1/2

βœ” Correct Answer: -1/√2

View Explanation β†’

Q40. The value of x for which the expressions 15x + 4 and 13x - 2 become equal is ______

A) 1

B) -1

C) 3

D) -3

βœ” Correct Answer: -3

View Explanation β†’

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