Official Quant thread for CAT 2013

A consumed entire juice bottle in 6 days. On each day starting 2nd day he consumed 2litres more than 1/3rd remaining in the bottle at beginning of dat particular day ... How many litres did he had at the begining of 4th day?

A new coach was appointed for a football team in the middle of a season. After the new coach took over, the team won 855/7% of the 35 matches, it played. However, the overall success rate of the team for the entire season was 90%. What is the minimum number of matches the team must have played that season before the new coach took over?

21

10

25

15

The numbers 44997 and 43080 leave the same reminder when divided by x. 100

Find the 7th digit from the right in 25!

In an election between two candidates, the winner has a margin of 10% of the votes polled. If 1500 people change their mind and vote for the loser, the loser would have won by a margin of 10% of the votes polled. Find the total number of votes polled in the election?


How many sequences of 1's and 2's sum to 15?

Find the sum of all remainders when n^5 – 5n^3 + 4n is divided by 120 for all positive integers n ≥ 2010.

If 15 men or 24 women or 36 boys can do a work in 12 days working 8 hrs a day, how many men must be associated with 12 women and 6 boys to do another work, 9/4 times as great in 30 days working 6 hrs per day?


Select one:

a. 10

b. 15

c. 8

d. 12

Hi Guys ! Can anybody provide me material / Link to Time Speed Distance Topic Covering

# Meeting Poing in Linear Motion.
# Meeting point in Circular Motion.
# More than Two Persons Running a Race.

@AshuIIMA @SatadeepBiswas @rubikmath

If the roots of the equation: ax2 + bx + c = 0, a > 0, be each greater than unity, then:

Options:

1.a + b + c > 0

2.a – b – c > 0

3.a + b + c > 0

4.a + b + c = 0

5.none of these

There were 360 students in an assembly on the eve of christmas. They were asked to stand in rows and columns such that each row had equal no. of students. Now deepika padukone started distributing toffees in a typical manner, where she would gift a toffee to exactly one student in each row in the first round. In the second round she would gift a toffee to exactly one student in each colomn.

If 337 students did not receive the any toffee then how many toffee did she distribute in all??

1. 33
2. 49
3. 46
4. 38
5. 29

How many factors of 10^100 are not an integral power of 10^10??
1. 10190
2. 10191
3. 10080
4. 10081

Modi wanted to weigh 365 kg of rice. The weights available to him are one each of denominations 1 kg, 2 kg, 4 kg, 8 kg, 16 kg, 32 kg, 64 kg, 128 kg and 256 kg.

How many weights does he need to weigh 365 kg if only one side of the balance is used to put the weights????

4

6

5

7

In an examination, 3 papers have maximum mark 50 each, and fourth paper has a maximum mark of 100. In how many ways student can score a 60% aggregate ?

How many natural numbers less than 100 when squared and then divided by 24 leave a remainder of 1 ?

a) 30 b) 32 c) 34 d) 33

I will be glad if you explain your solution.
Thank you.

Question: PQR is a three-digit number (P, Q, R are all numerals) less than 900 such that P, Q and R are in a geometric progression and the common ratio is not equal to 1. What is the ten's digit of the product of all such three-digit numbers? (A) 24(B) 64(C) 82(D) 42

Question:

For An expression ax^2 + bx + c ≥ 0, which of the following statement is true?

If discriminant (D) is –ve, the expression is always true.

If D is +ve, the exp is always true.

If D = +ve, a = +ve then exp is always true for all real values of x.

If D = +ve, a = -ve then exp is true for all real values of x.

(A) a(B) b(C) c(D) d

A quadrilateral (X1) is obtained by joining the mid-points of a second rectangle. Further, a rectangle is obtained by joining the mid points of quadrilateral (X1) obtained above. Again another quadrilateral (X2) is obtained by joining the mid points of the second rectangle. This process is repeated for an infinite number of times. Find the ratio of the sum of areas of all the rectangles to the sum of the areas of all the quadrilaterals (X1, X2...).

Find the product of all two digit positive integers which exceed product of their digits by 17? (A) 1157(B) 1958(C) 2024(D) 2047

There are twenty-five identical toffees to be divided among four brothers such that each of them gets no less than three toffees. In how many ways can the toffees be divided among the four brothers? (A) 286(B) 364(C) 455(D) 560