Five children's ages are in increasing order, and each successive age differs by 2 years.

The question asks for the youngest child's age.

Statements:

1. The eldest child is three times the youngest.

2. The average age of the five children is 8 years.

Which statement(s) is/are sufficient?

For any choices of values of X, Y, Z, the 6-digit number XYZXYZ is divisible by:

A rectangular floor measures 4 m in length and 2.2 m in breadth. Tiles of size 140 cm by 60 cm have to be laid such that the tiles do not overlap. A tile can be placed in any orientation so long as its edges are parallel to the edges of the floor. What is the maximum number of tiles that can be accommodated on the floor?

There are three traffic signals. Each signal changes colour from green to red and then from red to green. The first signal takes 25 seconds, the second signal takes 39 seconds and the third signal takes 60 seconds to change the colour from green to red. The durations for green and red colours are same. At 2:00 p.m., they together turn green. At what time will they change to green next, simultaneously?

Let x be a positive integer such that 7x + 96 is divisible by x. How many values of x are possible?

In how many ways can a batsman score exactly 25 runs by scoring single runs, fours and sixes only, irrespective of the sequence of scoring shots?

There are four letters and four envelopes, and exactly one letter is to be put in exactly one envelope with the correct address. If the letters are randomly inserted into the envelopes, then consider the following statements:

1. It is possible that exactly one letter goes into an incorrect envelope.

2. There are only six ways in which only two letters can go into the correct envelopes.

Which of the statements given above is/are correct?

How many distinct 8-digit numbers can be formed by rearranging: $11223344$

such that odd digits occupy odd positions and even digits occupy even positions?

ABCD is a square. One point on each of AB and CD, and two distinct points on each of BC and DA are chosen. How many distinct triangles can be drawn using any three points as vertices out of these six points?

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?

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?

ABC_ _ABC_DABBCD_ABCD that follows a certain pattern. Which one of the following completes the sequence?

Consider the following including the Question and the Statements:

There are 5 members A, B, C, D, E in a family.

Question: What is the relation of E to B?

Statement-1: A and B are a married couple.

Statement-2: D is the father of C.

Statement-3: E is D's son.

Statement-4: A and C are sisters.

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

If today is Sunday, then which day is it exactly on 10¹⁰th day?

If 'ZERO' is written as 'CHUR', then how is 'PLAYER' written?

The letters of the word "INCOMPREHENSIBILITIES" are arranged alphabetically in reverse order. How many positions of the letter/letters will remain unchanged?

125 identical cubes are arranged in the form of a cubical block. How many cubes are surrounded by other cubes from each side?

A cuboid of dimensions 7 cm x 5 cm x 3 cm is painted red, green and blue colour on each pair of opposite faces of dimensions 7 cm x 5 cm, 5 cm x 3 cm, 7 cm x 3 cm respectively. Then the cuboid is cut and separated into various cubes each of side length 1 cm. Which of the following statements is/are correct?

1. There are exactly 15 small cubes with no paint on any face.

2. There are exactly 6 small cubes with exactly two faces, one painted with blue and the other with green.

Select the correct answer using the code given below:

If 7*9*10 = 8, 9* 11* 30 = 5, 11*17*21=13, what is the value of 23*4*15?

Consider the following statements:

1. A is older than B.

2. C and D are of the same age.

3. E is the youngest.

4. F is younger than D.

5. F is older than A.

How many statements given above are required to determine the oldest person/persons?

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:

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?