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

A cuboid of dimensions $7\text{cm} \times 5\text{cm} \times 3\text{cm}$ is painted red, green and blue colour on each pair of opposite faces of dimensions $7\text{cm} \times 5\text{cm}$, $5\text{cm} \times 3\text{cm}$, $7\text{cm} \times 3\text{cm}$ respectively. Then the cuboid is cut and separated into various cubes each of side length $1\text{cm}$. 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.

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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?

Questions: Is p greater than q?

Statement-1: $p \times q$ is greater than zero. Statement-2: $p^2$ is greater than $q^2$.

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

I. $A + B$ means A is neither smaller nor equal to B. II. $A – B$ means A is not greater than B. III $A \times B$ means A is not smaller than B. IV. $A \div B$ means A is neither greater nor equal to B. V. $A \pm B$ means A is neither smaller nor greater than B.

Statement: $P \times Q$, $P – T$, $T \div R$, $R \pm S$ Conclusion-1: $Q \pm T$ Conclusion-2: $S+Q$

Which one of the following is correct in respect of the above Statement and the Conclusions?

Consider a 3-digit number.

Question: What is the number? Statement-1: The sum of the digits of the number is equal to the product of the digits. Statement-2: The number is divisible by the sum of the digits of the number.

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

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

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?

What is the middle terms of the sequence Z, Z, Y, Y, Y, X, X, X, X, W, W, W, W, W,...…………,A?

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

True Statement: One of P and Q was selected for the job. False Statement: At least one of R and S was selected for the job. True Statement: 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.

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If today is Sunday, then which day is it exactly on $10^{10}$th day?

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

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

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 Questions and Statements?

Choose the group which is different from the others:

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

For five children with ages $a < b < c < d < e$; any two successive ages differs by 2 years.

Question: What is the age of the youngest child? Statement-1: The age of the eldest is 3 times the youngest. Statement-2: The average age of the children is 8 years

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

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.

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