Question : A, B and C together can complete a work in 12 days. A and B alone can do the same work in 36 days. In how many days can C alone complete the same work?

Option 1: 48

Option 2: 25

Option 3: 12

Option 4: 36

Question : Direction: Select the missing number from the given responses.

Option 1: 14

Option 2: 16

Option 3: 21

Option 4: 22

Question : G is the centroid of the equilateral triangle ABC. If AB = 10 cm, then the length of AG (in cm) is:

Option 1: $\frac{5 \sqrt3}{3}$

Option 2: $\frac{10 \sqrt3}{3}$

Option 3: $5 \sqrt3$

Option 4: $10\sqrt 3$

Question : If $(\sin \theta+\operatorname{cosec} \theta)^2+(\cos \theta+\sec \theta)^2=k+\tan ^2 \theta+\cot ^2 \theta$, then the value of $k$ is equal to:

Option 1: 7

Option 2: 2

Option 3: 5

Option 4: 9

Question : The following table shows the production of different types of two-wheelers from 1993 to 1998.
Number of two-wheelers (in 1000s)

What is the percentage increase in the total production of all types of two-wheelers in 1998 in comparison to 1996 (rounded off to the nearest integer)?

Option 1: 27%

Option 2: 25%

Option 3: 24%

Option 4: 26%

Question : Select the correct active form of the given sentence.
Her wooden almirah has been destroyed by the termites.

Option 1: The termites destroyed her wooden almirah.

Option 2: The termites could destroy her wooden almirah.

Option 3: The termites had destroyed her wooden almirah.

Option 4: The termites have destroyed her wooden almirah.

Question : Ram can copy 60 pages in 15 hours. If Ram and Riya together can copy 180 pages in 30 hours, in how many hours can Riya copy 20 pages?

Option 1: 29 hours

Option 2: 12 hours

Option 3: 20 hours

Option 4: 10 hours

Question :

Directions: In the following question, select the related word from the given alternatives.
Earth : Planet :: Moon : ?

Option 1: Sun

Option 2: Universe

Option 3: Venus

Option 4: Satellite

Question : Comprehension:

Read the passage and answer the questions that follow.

Cambridge was my metaphor for England, and it was strange that when I left it had become altogether something else because I had met Stephen Hawking there. It was on a walking tour through Cambridge that the guide mentioned Stephen Hawking, ‘poor man, who is quite disabled now, though he is a worthy successor to Isaac Newton, whose chair he has at the university.’ And I started because I had quite forgotten that this most brilliant and completely paralyzed astrophysicist, (scholar of astrophysics — a branch of physics dealing with stars, planets, etc.) the author of A Brief History of Time, one of the biggest best-sellers ever, lived here. When the walking tour was done, I rushed to a phone booth and, almost tearing the cord so it could reach me outside, phoned Stephen Hawking’s house. There was his assistant on the line and I told him I had come in a wheelchair from India (perhaps he thought I had propelled myself all the way) to write about my travels in Britain. I had to see Professor Hawking — even ten minutes would do. “Half an hour,” he said. “From three-thirty to four.”And suddenly I felt weak all over. Growing up disabled, you get fed up with people asking you to be brave as if you have a courage account on which you are too lazy to draw a cheque. The only thing that makes you stronger is seeing somebody like you, achieving something huge. Then you know how much is possible and you reach out further than you ever thought you could. “I haven’t been brave,” said his disembodied computer-voice, the next afternoon.“I’ve had no choice.” Surely, I wanted to say, living creatively with the reality of his disintegrating body was a choice? But I kept quiet because I felt guilty every time I spoke to him, forcing him to respond. There he was, tapping at the little switch in his hand, trying to find the words on his computer with the only bit of movement left to him, his long, pale fingers. Every so often, his eyes would shut in frustrated exhaustion. And sitting opposite him I could feel his anguish, the mind buoyant with thoughts that came out in frozen phrases and sentences stiff as corpses.

Question:

The narrator pulled the telephone cord outside the phone booth because he was:

Option 1: not able to hear clearly in the booth

Option 2: desperate to get an appointment with Stephen Hawking

Option 3: unable to enter the booth on a wheelchair

Option 4: eager to call Stephen Hawking’s home

Question : The diagonal of the square is $8 \sqrt{2}$ cm. Find the diagonal of another square whose area is triple that of the first square.

Option 1: $8 \sqrt{5}$ cm

Option 2: $8 \sqrt{3}$ cm

Option 3: $8 \sqrt{2}$ cm

Option 4: $8 \sqrt{6}$ cm