In the expression $5 * 4* 3* 2* 1$, $*$ is chosen from $+$, $-$, $\times$ each at most two times. What is the smallest non-negative value of the expression?

Let $p$ and $q$ be positive integers satisfying $p<q$ and $p+q=k$. What is the smallest value of $k$ that does not determine $p$ and $q$ uniquely?

The total cost of 4 oranges, 6 mangoes and 8 apples is equal to twice the total cost of 1 orange, 2 mangoes and 5 apples. Consider the following statements:

1. The total cost of 3 oranges, 5 mangoes and 9 apples is equal to the total cost of 4 oranges, 6 mangoes and 8 apples.
2. The total cost of one orange and one mango is equal to the cost of one apple.

Which of the statements given above is/are correct?

a + b means a – b; a – b means a x b; a x b means a ÷ b; a ÷ b; means a + b, then what is the value of $10 + 30 – 100 \times 50 \div 25$? (Operations are to be replaced simultaneously)

If P means ‘greater than ( $>$ )’; Q means ‘less than ( $<$ )’; R means ‘not greater than ( $less$ )’; S means ‘not less than ( $geq$ )’ and T means ‘equal to ( $=$ )’, then consider the following statements :

1. If $2x (S) 3y$ and $3x (T) 4z$, then $9y (P) 8z$.
2. If $x (Q) 2y$ and $y (R) z$, then $x (R) z$.

Which of the statements given above is/are correct?

Consider the sequence

A_BCD_BBCDABC_DABC_D

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

What will come in place of * in the sequence 3, 14, 39, 84, *, 258?

A Question is given followed by two Statements I and II. Consider the Question and the Statements. P, Q, R and S appeared in a test. Question : Has P scored more marks than Q ?

Statement-I : The sum of the marks scored by P and Q is equal to the sum of the marks scored by R and S. Statement-II : The sum of the marks scored by P and S is more than the sum of the marks scored by Q and R.

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

A Question is given followed by two Statements I and II. Consider the Question and the Statements.

There are three distinct prime numbers whose sum is a prime number. Question: What are those three numbers?

Statement-I : Their sum is less than $23$. Statement-II : One of the numbers is $5$.

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

Three numbers $x$, $y$, $z$ are selected from the set of the first seven natural numbers such that $x > 2y > 3z$. How many such distinct triplets $(x, y, z)$ are possible?

What is the least possible number of cuts required to cut a cube into 64 identical pieces?

If in a certain code, ‘ABCD’ is written as $24$ and ‘EFGH’ is written as $1680$, then how is ‘IJKL’ written in that code?

Main Statement is followed by four Statements labelled P, Q, R and S. Choose the ordered pair of the Statements where the first Statement implies the second, and the two Statements are logically consistent with the Main Statement. Main Statement : Pradeep becomes either a Director or a Producer.

Statement P : Pradeep is a Director. Statement Q : Pradeep is a Producer. Statement R : Pradeep is not a Director. Statement S : Pradeep is not a Producer.

Select the correct answer.

In some code, letters P, Q, R, S, T represent numbers 4, 5, 10, 12, 15. It is not known which letter represents which number. If $Q - S = 2S$ and $T = R + S + 3$, then what is the value of $P + R - T$?

A Question is given followed by two Statements I and II. Consider the Questions and the Statements.

Question: What is the time required to download the software?

Statement-I: The size of the software is 12 megabytes. Statement-II: The transfer rate is 2.4 kilobytes per second.

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

A Question is given followed by two Statements I and II. Consider the Questions and the Statements.

Question: What are the values of $m$ and $n$, where $m$ and $n$ are natural numbers?

Statement-I: $m + n > mn$ and $m > n$. Statement-II: The product of $m$ and $n$ is $24$.

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

A Statement is given followed by two Conclusions numbered I and II. Consider the Statement and the Conclusions. Statement: India is the world's largest producer of milk.

Conclusion-I: India is the world's largest exporter of milk. Conclusion-II: India does not import milk.

Which one of the following is correct?

If the sum of the two-digit numbers AB and CD is the three-digit number 1CE, where the letters A, B, C, D, E denote distinct digits, then what is the value of A?

If in a certain code, ‘POT’ is written as ATOP and ‘TRAP’ is written as APART, then how is ‘ARENA’ written in that code?