One non-zero digit, one vowel and one consonant from English alphabet (in capital) are to be used in forming passwords, such that each password has to start with a vowel and end with a consonant. How many such passwords can be generated?

Let p be a two-digit number and q be the number consisting of same digits written in reverse order. If $p \times q = 2430$, then what is the difference between p and q?

The digits 1 to 9 are arranged in three rows in such a way that each row contains three digits, and the number formed in the second row is twice the number formed in the first row; and the number formed in the third row is thrice the number formed in the first row. Repetition of digits is not allowed. If only three of the four digits 2, 3, 7 and 9 are allowed to use in the first row, how many such combinations are possible to be arranged in the three rows?

The sum of three consecutive integers is equal to their product. How many such possibilities are there?

Two friends X and Y start running and they run together for $50$ m in the same direction and reach a point. X turns right and runs $60$ m, while Y turns left and runs $40$m. Then X turns left and runs $50$m and stops, while Y turns right and runs $50$ m and then stops. How far are the two friends from each other now?

A has some coins. He gives half of the coins and 2 more to B. B gives half of the coins and 2 more to C. C gives half of the coins and 2 more to D. The number of coins D has now, is the smallest two-digit number. How many coins does A have in the beginning?

Which date of June 2099 among the following is Sunday?

On one side of a $1.01$ km long road, $101$ plants are planted at equal distance from each other. What is the total distance between $5$ consecutive plants?

There are 9 cups placed on a table arranged in equal number of rows and columns out of which 6 cups contain coffee and 3 cups contain tea. In how many ways can they be arranged so that each row should contain at least one cup of coffee?

Consider the following statements in respect of two natural numbers p and q such that p is a prime number and q is a composite number:

1. $p \times q$ can be an odd number.
2. $q / p$ can be a prime number.
3. $p + q$ can be a prime number.

Which of the above statements are correct?

What is the smallest number greater than 1000 that when divided by any one of the numbers 6, 9, 12, 15, 18 leaves a remainder of 3?

Consider the Question and two Statements given below: Question: What is the age of Manisha?

Statement-1: Manisha is 24 years younger than her mother. Statement-2: 5 years later, the ages of Manisha and her mother will be in the ratio $3: 5$.

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

X and Y run a 3 km race along a circular course of length 300m. Their speeds are in the ratio 3:2. If they start together in the same direction, how many times would the first one pass the other (the start-off is not counted as passing)?

What is the number of numbers of the form $0.XY$, where $X$ and $Y$ are distinct non-zero digits?

Two candidates X and Y contested an election. 80% of voters cast their vote and there were no invalid votes. There was no NOTA (None of the above) option. X got 56% of the votes cast and won by 1440 votes. What is the total number of voters in the voters list?

A person X wants to distribute some pens among six children A B C D E and F. Suppose A gets twice the number of pens received by B, three times that of C, four times that of D, five times that of E and six times that of F. What is the minimum number of pens X should buy so that the number of pens each one gets is an even number?

Let A, B and C represent distinct non-zero digits. Suppose x is the sum of all possible 3-digit numbers formed by A, B and C without repetition. Consider the following statements:

1. The 4-digit least value of x is $1332$.
2. The 3-digit greatest value of x is $888$

Which of the above statements is/are correct?

Consider the following statements in respect of a rectangular sheet of length $20$ cm and breadth $8$ cm:

1. It is possible to cut the sheet exactly into $4$ square sheets.
2. It is possible to cut the sheet into $10$ triangular sheets of equal area.

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?

There are eight equidistant points on a circle. How many right-angled triangles can be drawn using these points as vertices and taking the diameter as one side of the triangle?

There is a numeric lock which has a 3-digit PIN. The PIN contains digits 1 to 7. There is no repetition of digits. The digits in the PIN from left to right are in decreasing order. Any two digits in the PIN differ by at least 2. How many maximum attempts does one need to find out the PIN with certainty?

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?

The letters A, B, C, D and E are arranged in such a way that there are exactly two letters between A and E. How many such arrangements are possible?

A, B and C are three places such that there are three different roads from A to B, four different roads from B to C and three different roads from A to C. In how many different ways can one travel from A to C using these roads?

How many 3-digit natural numbers (without repetition of digits) are there such that each digit is odd and the number is divisible by 5?

The increase in the price of a certain item was $25\%$. Then the price was decreased by $20\%$ and then again increased by $10\%$. What is the resultant increase in the price?

15 x 14 x 13 x ... x 3 x 2 x 1 = $3^m \times n$ Where m and n are positive integers, then what is the maximum value of m?

There are two containers X and Y. X contains 100 ml of milk and Y contains 100 ml of water. 20 ml of milk from X is transferred to Y. After mixing well, 20 ml of the mixture in Y is transferred back to X. If m denotes the proportion of milk in X and n denotes the proportion of water in Y, then which one of the following is correct?

What is the remainder when $91 \times 92 \times 93 \times 94 \times 95 \times 96 \times 97 \times 98 \times 99$ is divided by 1261?

When 70% of a number x is added to another number y, the sum becomes 165% of the value of y. When 60% of the number x is added to another number z, then the sum becomes 165% of the value of z. which one of the following is correct?

A bill for $1,840$ is paid in the denominations of $50$, $20$ and $10$ notes. $50$ notes in all are used. Consider the following statements:

1. $25$ notes of $50$ are used and the remaining are in the denominations of $20$ and $10$.
2. $35$ notes of $20$ are used and the remaining are in the denominations of $50$ and $10$.
3. $20$ notes of $10$ are used and the remaining are in the denominations of $50$ and $20$.

Which of the above statements are not correct?

"Consider the Question and two Statements given below: Question: Is $x$ an integer?

Statement-1: $\frac{x}{3}$ is not an integer. Statement-2: $3x$ is an integer.

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

24 men and 12 women can do a piece of work in 30 days. In how many days can 12 men and 24 women do the same piece of work?

Which number amongst $2^{40}$, $3^{21}$, $4^{18}$ and $8^{12}$ is the smallest?

The average weight of A, B, C is $40$ kg, the average weight of B, D, E is $42$ kg and the weight of F is equal to that of B. What is the average weight of A, B, C, D, E and F?

A man started from home at 14:30 hours and drove to village, arriving there when the village clock indicated 15:15 hours. After staying for 25 minutes, he drove back by a different route of length $1.25$ times the first route at a rate twice as fast reaching home at 16:00 hours. As compared to the clock at home, the village clock is

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