Official Quant thread for CAT 2013

Find the number of integral solutions of

|x-3| + |x-7| = 12

Find the number of integral solutions of

|x-1|+|x-3|+|x-7| = 20

In a college of 525 students, each student takes at least two items from among a,b,c and d for his breakfast. If 375 students take a, 375 take b, 375 take c and 375 take d for thier breakfast, the number of students who take all the four items is at most?


An odd TSD question...Pls share ur approach too 😃

check dis one out....

Four friends are sitting at the four sides of a square table at a Café. Eighteen cookies and many sachets of sugar, all of equal size, are kept at the table. The one opposite Sam has black coffee with twice as many sachets of sugar as him and three cookies more than him. Joe has half as many sachets of sugar but twice as many cookies as the one opposite him. Sam has the same number of cookies as one of his friends. Raman has more sugar in his coffee than Arun and also adds milk to it. No one uses a sachet partially or has more than four sachets. How does Arun have his coffee?
1) Black, with 1 sachet of sugar
2) With milk and 3 sachets of sugar
3) Black, with 2 sachets of sugar
4) Cannot be determined

Q.In what ratio should a man invest his money in three different schemes having simple interest rates of 5%, 10% and 15%, so as to get back money in the ratio 4 : 6 : 2 after 2 years, 4 years and 6 years respectively?
1] 72 : 27 : 11
2] 75 : 27 : 4
3] 72 : 27 : 4
4] 8 : 3 : 4

Q. What is the average of all 4-digits numbers that can be formed using all the digits 1, 2, 3, 4 exactly once?
1] 1984
2] 2222
3] 2744.5
4] 2777.5

Q. A regular polygon with an even number of sides is inscribed in a circle. 126 of the diagonals of the polygon do not pass through the centre of the circle in which it is inscribed. Find the number of sides of the polygon.
1] 22
2] 16
3] 20
4] 18

the number of ordered (x,y) such that ( 1/ x^0.5 ) + ( 1/ y^0.5 ) = 1/20

😁

The sum of an arithmetic progression consisting of 12 terms, is 354. The ratio of the sum of the terms at the odd places to the sum of the terms at even places is 27 : 32, find the common difference of the series?


If you have 4 trousers, 5 shirts , 6 shoes , 7 neck ties? how many ways you decide what to wear ? EXPLAIN????

A painted cube is given with an edge of 15 cm. Smaller cubes are cut out from it with an edge of 3 cm each. How many cubes will have 3 faces painted, 2 faces painted, 1 face painted and no face painted.

Find the area x in the triangle?

P.S. I dont have the answer or the solution...:(


Please Solve . I m getting diffrnt answer frm the OA .

A box contains five red and five blue balls. A ball is picked from the box and is replaced by a ball of the other colour. For instance, if a blue ball is picked then it is replaced by a red ball and vice-versa. The process is repeated ten times and then a ball is picked from the box. What is the probability that this ball is red?


options here:

If sin θ + cosec θ = 4, find the value of sin^6 θ + cosec^6 θ

Answer the questions independently of each other.

The roots of the equation x(x – 2)(3x – 7) = 4 are necessarily,

Positive integers

Real, positive numbers

Real, negative numbers

Whole numbers


approach pls ?

A train is going from Mumbai to Poona and makes 5 stops on the way.3 persons enter the train during the journey with 3 different tickets.How many different sets of tickets they may have had? What is the number of stations between these two cities in this question ?

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The cost price of an article is directly proportional to the number of days in which it is produced. The profit made on an article produced in 5 days is k%, whereas the profit made on an article produced in 7 days is 100. If the selling price of the article is fixed, which of the following cannot be the value of k?
40 ,60 70,80