List of top Questions asked in CAT

If John participated in Paragliding, which of the following statements is definitely true?

(a) Leonardo da Vinci was a self-taught man and began teaching himself Latin at the early age.

(b) He became a great engineer and was the first to discover that blood circulated through the body.

(c) He believed that coarse people of bad habits and shallow judgments did not deserve so beautiful an instrument and such a complex anatomical equipment than the human body.

(d) They should merely have a sack for taking in food and letting it out again, for they are nothing but the alimentary canal.

(e) Very fond of animals, he was himself a vegetarian and had the habit of buying caged birds from the market and setting them free immediately.

(a)Although thoughts are primary, thoughts in themselves have no method of transmission and are therefore dependent on speech.

(b)If we were to summarize the logo-centric approach to meaning, we should state that what emerges is that speech is the original signifier of meaning.

(c)Language, the cornerstone of humanity, emerges as a process to allow our thoughts to travel across space and between people.

(d)Language can then be viewed as a system of verbal signs that signify individual thought.

(e)Language produces speech to transmit thoughts and writing to transmit speech.

There are 4 roads between towns A and B, and 3 roads between towns B and C. How many different ways can a person travel from A to C via B and return to A without using the same road more than once in each direction?

(A) But as access to other texts is enjoyed more widely, some of the dominance textbooks now enjoy will wane.

(b) As indeed will the power of teachers—whose prejudices may often be just as ingrained as those found in textbooks, and rather harder to pin down.

(c) It won’t be long before children, will be able to access, by way of smartphones, the textbooks prescribed for their courses.

(d) As long as textbooks in one form or another are used and as long as they are issued or approved by the state, they will remain a political issue.

What is the number of positive integers less than or equal to 1000 that are divisible by neither 2 nor 5?

What is the maximum possible number of intersection points of 15 lines in a plane, assuming no two lines are parallel and no three are concurrent?

If \( g(x) = p(x) = qx^n \), and \( p \) and \( q \) are constants, then at \( x = 0 \), \( g(x) \) will be:

In a college election, 5 candidates contested and 100 students voted. If each student voted for 2 candidates, and each pair of candidates received the same number of votes, how many votes did each candidate get?

If \( x + \frac{1}{x} = 2 \), find the value of \( x^{10} + \frac{1}{x^{10}} \).

In triangle PQR, \( PQ = 12 \) cm, \( PR = 9 \) cm, and \( \angle Q + \angle R = 120^\circ \). Find the length of QR.

Consider the curves: \[ y = 2x^3 + 3x^2 + 4, y = 3x^2 - 2x + 8 \] How many times do they intersect for \( -3 \leq x \leq 2 \)?

Some persons are standing in a circle, all facing the center. Each pair not adjacent sings a 3-minute song, one after another. Total time = 1 hour. How many persons are there?

Sujith says: - Multiplying first two digits by 3 gives all ones.
- Multiplying next two digits by 6 gives all twos.
- Multiplying last two digits by 9 gives all threes.
What is the sum of digits in the number?

Two cars P and Q start from points A and B simultaneously. They meet 40 km from B. After meeting, they exchange speeds and return. They meet again 20 km from A. Find distance AB.

If each X-Ray occupies 30MB and a new technology reduces space by 60%, what is the total magnetic media memory required to store all the X-Rays in the year 2000? (1MB = \(10^6\) Bytes)

In a bag there are a total of 150 coins in three denominations – Re.1, ₹2 and ₹5 – with at least one coin of each denomination. The total value of Re.1 coins is at least 50% of the total value of the coins. There are 23 ₹5 coins and the total value of ₹2 coins is at least 3% of the total value of coins. Find the number of ₹2 coins in the bag.

When asked for his taxi number, the driver replied, “If you divide the number of my taxi by 2, 3, 4, 5, 6 each time you will find a remainder of one. But if you divide it by 11, the remainder is zero.” What is the taxi number?