Official Quant thread for CAT 2013

The perimeter of a rectangle is 62 cm. If the length of the diagonal (in cm) is an integer, which of the following can be the area (in cm2) of the rectangle? A. 220 B. 168 C. 150 D. 300

area of the triangle is 72 units and altitude from the given point inside the triangle is 24 , 18 and 16 units. find the perimeter of the triangle?how to solve this?


Puys of you who are registered with TIME, I have lost one of my Quant booklet (SM1001401), where can i get a new one?

I called TIME people, but they told me they are out of stock.

What is the ratio of LCM of first 20 natural numbers and first 10 natural numbers ?

Six numbers are selected at random from the set {2, 3, 2, 4, 5, 2, 6, 5, 7}. If P is the product of the six numbers, what is the number of distinct possible values of P? A. 20 B. 28 C. 31 D. 42

A co-ordinator for an exam arranged the tables in several rows and columns. The columns had equal number of tables. They were numbered in a particular order, starting from the first table with a particular number and then continuing in the column then continuing to the next column from the first table. The sum of the digits at the last table of the first coulmn was 4 and then the values at the end of 2nd, 3rd..10th column were 17,12,16,20,15,19,14,18,22 respectively. What could be the number of chairs in each column?

How many different HCF values are possible for the numbers N and N+10 where N is a natural number

Whatisthenatureoftherootsoftheequationx2+(x–a)2+(x–b)2–(x–c)2–(x–d)2=0,where a: b:c:d=2:3:2:3?

A. Integer B. Irrational C. Imaginary D. None of the above

How many integers are there such that twice the sum of the integers is equal to their product?

If the LCM of two positive numbers(x,y) is 60 times the HCF and x is less than y,Which of these is not a possible value of y/x ?
3.75
6.66
2.4
60
All are possible

a trader brought some goods at a discount of 20% on list price.he wants to mark dem at such a price

that even if he gives a discount of 20% on the marked price he still makes a profit of 25%. if he marks the goods by 20 % points more than the proposed and allows a discount of 50% ,wat is profit/loss %tage?
1. 27.5% profit 2.27.5 %loss
3. 30% loss 4.30%profit
5. none of these

What is the unit digit of LCM of (3^2003 -1) and (3^2003+1)

What is the maximum number of cuboids of dimensions 4 cm × 3 cm × 5 cm that can be formed by using 729 cubes each of dimensions 1 cm × 1 cm × 1 cm? A. 10 B. 12 C. 11 D. 13

LCM of three natural numbers a,b,c is 60. How many different values of HCF of a,b,c are possible

How many positive integer values of 'a' are possible such that a+220/a+4 is an integer?


12

13

15

16


In a 75m race, A beats B by 15m. Similarly, in a 60m race, B beats C by 10m. If A

beats C by 40m then what is the length of the race? (Assume A, B and C travels

at a constant speed in all the race.)

1) 100m

2) 80m

3) 120m

4) 75m

The Perimeter of a triangle, with integral sides (in cm), is 15 cm. How many such

different triangles can be drawn?

In a test consisting of 15 questions, 3 marks are awarded for a correct answer, 1 mark is deducted for an incorrect answer and no mark is awarded for an unattempted question. If a student attempts at least one question in the paper, what is the number of distinct scores that he can get? (a) 57 (b) 58 (c) 59 (d) None of these


What is the remainder obtained when the sum of the squares of any thirty consecutive natural numbers is divided by 12?

(a) 0 (b) 3 (c) 11 (d) Cannot be determined

HCF of 3240 , 3600 and a third number is 36 and their LCM is 2^4 * 3^5 * 5^2 * 7^2. THe third number is ???