Consider the following statements:
1. Every integer is a rational number, but every rational number is not an integer.
2. The sum of two irrational numbers is always an irrational number.
3. π is an irrational number, whereas 22/7 is a rational number.
Which of the statements given above is/are correct?

What is the remainder when 85 × 87 × 89 × 91 × 95 × 96 is divided by 100?

A principal P becomes Q in one year when compounded half-yearly at an annual rate of R%. The same principal P becomes Q in one year when compounded annually at an annual rate of S%. Which of the following is correct?

Consider the following statements in respect of five candidates P, Q, R, S, and T. Two statements are true and one statement is false.

One of P and Q was selected for the job.

 At least one of R and S was selected for the job.

At most two of R, S and T were selected for the job.

Which of the following conclusions can be drawn?

1. At least four were selected for the job.

2. S was selected for the job.

Select the correct answer using the code given below:

Let P, Q, R, S and T be five statements such that:

I. If P is true, then both Q and S are true.

II. If R and S are true, then T is false

Which of the following can be concluded?

1. If T is true, then at least one of P and R must be false.

2. If Q is true, then P is true.

Select the correct answer using the code given below:

A, B and C can independently complete a piece of work in 8, 16 and 12 days respectively. A works alone on Monday, B on Tuesday, C on Wednesday, and the same cycle continues.

Consider the following statements:

1. The work will be finished on Thursday.

2. The work will be finished in 10 days.

Which of the statements is/are correct?

In a party, 75 persons took tea, 60 persons took coffee and 15 persons took both tea and coffee. No one taking milk takes tea. Each person takes at least one drink.

Question: How many persons attended the party?

Statement-1: 50 persons took milk.

Statement-2: Number of persons who attended the party is five times the number of persons who took milk only.

Which one of the following is correct in respect of the above Question and the Statements?

The average weight of A, B and C is 40 kg. The average weight of B, D and E is 42 kg. F's weight is equal to B's weight. Find the average weight of A, B, C, D, E and F.

P, Q, R, S, T and U are six members of a family. R is the spouse of Q. U is the mother of T and S is the daughter of U. P's daughter is T and R's son is P. There are two couples in the family. Which one of the following is correct?

Consider the Question and two Statements given below:

Question: Is Z brother of X?

Statement-1: X is a brother of Y and Y is a brother of Z.

Statement-2: X, Y and Z are siblings.

Which one of the following is correct in respect of the Question and the Statements?

Which date of June 2099 among the following is Sunday?

Consider the following statements:

1. Between 3:16 p.m. and 3:17 p.m., both hour hand and minute hand coincide.

2. Between 4:58 p.m. and 4:59 p.m., both minute hand and second hand coincide.

Which of the above statements is/are correct?

How many seconds in total are there in x weeks, x days, x hours, x minutes and x seconds?

If the order of the letters in the English alphabet is reversed and each letter represents the letter whose position it occupies, then which one of the following represents 'LUCKNOW?

A pie chart gives the expenditure on five different items A, B, C, D and E in a household. If B, C, D and E correspond to 90°, 50°, 45° and 75° respectively, then what is the percentage of expenditure on item A?