Question 1

Given below are three statements. If the first two statements are known to be true, then which of the following options is correct for the third statement?

Statements:

Chameli and Riya each had 100 rupees with them.

Chameli gave half of her money to Riya and later Riya gave half of her currently available money to Chameli.

They both have equal amounts of money now.

Options :

A : True

B : False

C : Uncertain

Answer: B

Question 2

Use the given diagram to determine which of the following conclusions is/are true.

Conclusions:

Region C represents trucks with a permit to carry only water but not oil or milk.

Region D represents trucks with a permit to carry only oil but not water or milk.

Region G represents trucks with a permit to carry only oil but not water or milk.

Options :

A : Only conclusions I and II are true.

B : Only conclusions I and III are true.

C : None of the conclusions are true.

D : All three conclusions are true.

Answer: A

Question 3

Select the conclusion that best follows from the statements given below.

Statements:

All moons are satellites.

Some satellites are planets.

All planets are stars.

Conclusions:

Some planets are moons.

Some stars are satellites.

Options :

A : Only conclusion I follows.

B : Only conclusion II follows.

C : Both conclusions I and II follow.

D : Neither conclusion I nor II follows.

Answer: B

Question 4

"Verification is the process of checking if some information is true, accurate or valid.”

Which of the following options provides the best example of ‘verification’?

Options :

A : Everywhere Jareth looked, he was reminded of his childhood, He had a happy childhood, so the memories were all pleasant.

B : Lavik decided that he needed to take out a medical insurance policy in case he ever needed it. He hoped he never did, but it does not hurt to be cautious.

C : It was a cold and windy day when Sanvi found out that she had been offered her dream job. That day, even the dreary weather could not dampen her spirits.

D : Jayshree received an email from the sports ministry telling her that she had been selected for training. She could not believe it, so she called the sports ministry to confirm it.

E : Parveen and her friends had practised every day for the last 6 months, so when they were told that they had received the award for the best band, they were not at all surprised.

Answer: D

Question 5

If the equations 2x + 3y = 5 and (p – 2)x + 6y = 10 + x have infinitely many solutions, what is the value of p?

Options :

A : 1

B : 4

C : 6

D : 7

E : 9

Answer: D