If $ means ‘divided by’; @ means ‘multiplied by’; # means ‘minus’, then the value of $10#5@1$5$ is

Six students A, B, C, D, E, and F appeared in several tests. Either C or F scores the highest. Whenever C scores the highest, then E scores the least. Whenever F scores the highest, B scores the least. In all the tests they got different marks; D scores higher than A, but they are close competitors; A scores higher than B; C scores higher than A.

If E is ranked third, then which one of the following is correct?

Each face of a cube can be painted in black or white colours. In how many different ways can the cube be painted?

If every alternative letter of the English alphabet from B onwards (including B) is written in lower case (small letters) and the remaining letters are capitalized, then how is the first month of the second half of the year written?

How is the first month of the second half of the year written?

Consider the following Statements and Conclusions:

Statements-1: Some rats are cats. Statements-2: Some cats are dogs. Statements-3: No dog is a cow.

Conclusions-I: No cow is a cat. Conclusions-II: No dog is a rat. Conclusions-III: Some cats are rats.

Which of the above conclusions is/are drawn from the statements?

Six students A, B, C, D, E, and F appeared in several tests. Either C or F scores the highest. Whenever C scores the highest, then E scores the least. Whenever F scores the highest, B scores the least. In all the tests they got different marks; D scores higher than A, but they are close competitors; A scores higher than B; C scores higher than A.

If F stands second in the ranking, then the position of B is

A five-storeyed building with floors from I to V is painted using four different colours and only one colour is used to paint a floor. Consider the following statements:

1. The middle three floors are painted in different colours.
2. The second (II) and the fourth (IV) floors are painted in different colours.
3. The first (I) and the fifth (V) floors are painted red.

To ensure that any two consecutive floors have different colours:

In a group of 15 people; 7 can read French, 8 can read English while 3 of them can read neither of these two languages. The number of people who can read exactly one language is

Ena was born 4 years after her parents’ marriage. Her mother is three years younger than her father and 24 years older than Ena, who is 13 years old. At what age did Ena’s father get married?

Consider the following sequence that follows some arrangement: $c\_accaa\_aa\_bc\_b$ The letters that appear in the gaps are

A solid cube is painted yellow, blue and black such that opposite faces are of same colour. The cube is then cut into 36 cubes of two different sizes such that 32 cubes are small and the other four cubes are big. None of the faces of the bigger cubes is painted blue. How many cubes have only one face painted?

An 8-digit number 4252746B leaves remainder ‘0’ when divided by 3. How many values of B are possible?

Read the following statements S1 and S2 and answer the two items that follow:

S1: Twice the weight of Sohan is less than the weight of Mohan or that of Rohan. S2: Twice the weight of Rohan is greater than the weight of Mohan or that of Sohan.

Based on the above, which one of the following statements is correct?

What is X in the sequence 4, $196$, 16, $144$, 36, $100$, 64, X?

All members of a club went to Mumbai and stayed in a hotel. On the first day, $80\%$ went for shopping and $50\%$ went for sightseeing, whereas $10\%$ took a rest in the hotel.

Which of the following conclusion(s) can be drawn from the above data?

1. $40\%$of members went for shopping as well as sightseeing.
2. $20\%$of members went for only shopping.

Select the correct answer using the code given below:

If x is greater than or equal to 25 and y is less than or equal to 40, then which one of the following is always correct?

What is X in the sequence 132, 129, 124, 117, 106, 93, $X$?

In 2002, Meenu’s age was one-third of the age of Meera, whereas in 2010, Meenu’s age was half the age of Meera. What is Meenu’s year of birth?

Mr ‘X’ has three children. The birthday of the first child falls on the 5th Monday of April, that of the second one falls on the 5th Thursday of November. On which day is the birthday of his third child, which falls on 20th December?

Read the following statements S1 and S2 and answer the two items that follow:

S1: Twice the weight of Sohan is less than the weight of Mohan or that of Rohan. S2: Twice the weight of Rohan is greater than the weight of Mohan or that of Sohan.

Which one of the following statements is correct?

Which year has the same calendar as that of 2009?

In the sequence 1, 5, 7, 3, 5, 7, 4, 3, 5, 7, how many such 5s are there which are not immediately preceded by 3 but are immediately followed by 7?

In a conference, out of a total of 100 participants, 70 are Indians. If 60 of the total participants are vegetarian, then which of the following statements is/are correct?

1. At least 30 Indian participants are vegetarian.
2. At least 10 Indian participants are non-vegetarian.

Select the correct answer using the codes given below:

A started from his house and walked $20$ m towards East, where his friend ‘B’ joined him. They together walked $10$ m in the same direction. Then ‘A’ turned left while ‘B’ turned right and travelled $2$ m and $8$ m respectively. Again ‘B’ turned left to travel $4$ m followed by $5$ m to his right to reach his office. ‘A’ turned right and travelled $12$ m to reach his office. What is the shortest distance between the two offices?

A family has two children along with their parents. The average of the weights of the children and their mother is $50$ kg. The average of the weights of the children and their father is $52$ kg. If the weight of the father is $60$ kg, then what is the weight of the mother?

A joint family consists of seven members A, B, C, D, E, F, and G with three females. G is a widow and sister-in-law of D’s father F. B and D are siblings, and A is the daughter of B. C is cousin of B. Who is E?

1. Wife of F
2. Grandmother of A
3. Aunt of C

Select the correct answer using the code given below:

Number 136 is added to $5B7$ and the sum obtained is $7A3$, where $A$ and $B$ are integers. It is given that $7A3$ is exactly divisible by 3. The only possible value of $B$ is:

A wall clock moves 10 minutes fast in every 24 hours. The clock was set right to show the correct time at 8:00 a.m. on Monday. When the clock shows the time 6:00 p.m. on Wednesday, what is the correct time?

Six students A, B, C, D, E, and F appeared in several tests. Either C or F scores the highest. Whenever C scores the highest, then E scores the least. Whenever F scores the highest, B scores the least. In all the tests they got different marks; D scores higher than A, but they are close competitors; A scores higher than B; C scores higher than A.

If B scores the least, the rank of C will be

Consider two statements S1 and S2 followed by a question:

S1: $p$ and $q$ both are prime numbers. S2: $p + q$ is an odd integer.

Question: Is $pq$ an odd integer?

In a school, 60% of students play cricket. A student who does not play cricket plays football. Every football player has got a two-wheeler.

Which of the following conclusions cannot be drawn from the above data?

1. 60% of the students do not have two-wheelers.
2. No cricketer has a two-wheeler.
3. Cricket players do not play football.

Select the correct answer using the code given below:

In a school every student is assigned a unique identification number. A student is a football player if and only if the identification number is divisible by 4, whereas a student is a cricketer if and only if the identification number is divisible by 6. If every number from 1 to 100 is assigned to a student, then how many of them play cricket as well as football?