Q. 21 In a triangle the length of the side opposite the angle which measures 30° is 9 cm, what is the length of the side opposite to the angle which measures 60°?

A) 3/2 cm

B) 3√3 cm

C) 9√3 cm

D) 9/2 cm

✔ 9√3 cm
View Explanation

Q. 22 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 he 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

✔ West
View Explanation

Q. 23 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

✔ 5 cm, 8 cm, 15 cm
View Explanation

Q. 24 The first and last terms of an arithmetic progression are 25 and ­52. What is the sum of the series if it has 12 terms?

A) -110

B) -162

C) 110

D) 162

✔ -162
View Explanation

Q. 25 If cos 2π/3c = x, then the value of x is

A) 1/2

B) -1/2

C) √3/2

D) -√3/2

✔ -1/2
View Explanation

Q. 26 Find out the odd word/letters/number/number pair from the given alternatives.

A) Turtle

B) Fish

C) Frog

D) Crocodile

✔ Fish
View Explanation

Q. 27 Find the value of 777777?

A) 7164

B) 73164

C) 7764

D) 76364

✔ 76364
View Explanation

Q. 28 What is the simplified value of 0.072+0.292-0.02030.073+0.293

A) 0.06

B) 0.6

C) 1/0.06

D) 1/0.6

✔ 1/0.6
View Explanation

Q. 29 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) ∆PAC ≅ ∆PBC

✔ All options are correct
View Explanation

Q. 30 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

✔ 500
View Explanation

Q. 31 If a2+1a2 = 38, then find the value of a-1a?

A) 4

B) 2

C) 8

D) 6

✔ 6
View Explanation

Q. 32 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

✔ 4
View Explanation

Q. 33 CAT : MOUSE as SNAKE :

A) Mongoose

B) Reptile

C) Poison

D) Hole

✔ Mongoose
View Explanation

Q. 34 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

✔ Rs. 29
View Explanation

Q. 35 Select the image that will correctly fit in the blank space of the following figure.

A) 2

B) 1

C) 4

D) 3

✔ 2
View Explanation

Q. 36 If tanθ + cotθ = 5, then the value of tan2θ + cot2θ is

A) 23

B) 22

C) 25

D) 24

✔ 23
View Explanation

Q. 37 If x4+1x4=119, then the value of x-1x is

A) 12

B) 6

C) 3

D) 11

✔ 3
View Explanation

Q. 38 Select the odd word/letters/number/number pair from the given alternatives.

A) 4541

B) 3425

C) 6783

D) 5661

✔ 6783
View Explanation

Q. 39 If cos 135° = x, then the value of x is

A) -√3/2

B) -1/√2

C) 2

D) -1/2

✔ -1/√2
View Explanation

Q. 40 The value of x for which the expressions 15x + 4 and 13x - 2 become equal is ______

A) 1

B) -1

C) 3

D) -3

✔ -3
View Explanation
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