Official Quant thread for CAT 2013

P is the product of first 30 multiples of 30. N is the total number of factors of P. In how many ways N can be written as the product of two natural numbers such that the HCF of these two natural numbers is 19?



options


3

4

5

6

shortcut way to solve this question - here the answer should be a power of 2. I don't know why but CL people say so. can anybody give the reason .


When a number divided by 1001 gives remainder 123, what would be remainder

when 17 more than twice of the same number is divided by 77

a. 46 b. 32 c. 76 d. Cannot be determined

e. None of These

2 men left simultaneously from two places P and Q. one of them P for Q and the other Q for P . both travelled with his own uniform velocity. having arrived at their destinations, they turned back to their starting points without stopping . first time they met on their journey d1 km from P and the second time on their return journey ,they met d2 km from Q. if ' d ' is the distance between P and Q find d in terms of d1 and d2.

15. If a number is divided by m then it gives remainder 17, when same number is

divided by 8*m remainder comes 47, then what would be remainder when same

number is divided by 4*m



47 52 49 68

A sphere have to be completely wrapped in a circular sheet of least area. Find the minimum% wastage in circular sheet in wrapping ??

Triangle ABC right angled at B. D and E are 2 points on BC and AB such that.. BD = 8, BE 6, AE = 10, CD = 10. Find area of EODB(O is point where AD and CE meet)

@jasneetdua a sample coefficient problem along with solution

Find the area of region common to y= | x -1 | -4 and between the axis?

32
14
16
12

Find the distance between the incenter and circumcenter of a triangle with sides 9, 40 and 41?


x/15 > y/25


then

6y + 5x (> or

@gaurav.ddubey01 @jasneetdua @ankurkhanna14 - Bhaiyo please check the revised snapshot

x, y, and z are the three contestants in a kilometre race. If x can give y a start of 50 metres and x can also give z a start of 69 metres, how many metres start y can give z?

19 metres

20 metres

24 metres

26 metres

16 metres

In a 1 km race, B takes 3 minutes more than A and 1 minute less than C. Also B beats C by 12 sec in a 200 m race. If A runs at the speed of 10 km/h in 1 km race, what is C's speed?

9 km/h

7 km/h

8 km/h

6 km/h

5 km/h

In a 1,600 m race, A can beat B by 40 m, while B gives C a start of 60 m in a 1,200 m race. By what distance will A beat C in a 800 m race?

54 m

58 m

59 m

60 m

None of these

if a>b>0

a−b/a+b > or(a^2−b^2)/(a^2+b^2)



If it is true that 1/55

equal?

I. 1/54

II. 1/23

III. 1/12

x/a > 4 and y/a

a^2 = 9

a* b^2 = -8 then x or = y ?

A and B are participating in a 500 m race. A gives B a lead of 50 m and beats him by a distance of 10 m. If A completes the race in 30 minutes, a finishes the race _____________ minutes before B.

4.1

5.4

6.0

7.2

6.4

In a flat race of L metres, A beats B by x1 metres, beats C by x2 metres. C will beat B if

x1 = x2

x1 > x2

x2 > x1

x1 + x2 = L

Both (1) & (3)

A and B start together from the same point on a walking match around a circular course. After half an hour A has walked three complete circuits and B four and a half. Assuming each walks with uniform speed, find when B overtakes A.

15 minutes

18 minutes

24 minutes

20 minutes

12 minutes