Official Quant thread for CAT 2013

Find the maximum and minimum value of m if (mx^2+3x-4)/(m+3x-4x^2) can attain all value for real values of x.


@placiddisciple @hiteshpratap

In an upward moving-escalator Ram moving down counted 150 steps.Shyam moving up counted 75 steps . Ram covers 3 times steps as shyam in a given time.What is the number of steps on the escalator?

x/y+y/x=1 then find x^3+y^3

He helped him more than he helped his own children/ Error

Ramesh walked down a descending escalator and took 40 steps to reach the bottom. Suresh started simultaneously from the bottom, taking 2 steps for every step of ramesh.The time taken by Ramesh to reach the bottom from the top is same as taken by suresh to reach the top. How many steps more than Ramesh did Suresh take before they crossed each other on the escalator?

A man is 6 years older than his wife. He noticed 4 years ago that he has been married to her exactly half of his life. How old will he be on their 50th anniversary if in 10 years she will have spent two-thirds of her life married to him?

A)68

B)76

C)84

D)81

Chumki's brother Bablu would pick her up on his cycle from school every day. One day, on account of a Bharat Bandh, Chumki's school closed three hours early. She started walking home at a speed of 3 kmph. Bablu, who had left home at a certain speed to pick her up at the usual time met her on the way and then they returned home two hours early. What was Bablu's speed and what is the distance between Chumki's home and her school?

A)4 kmph, 6 km

B)5 kmph, 9 km

C)6 kmph, 12 km

D)7 ½ kmph, 15 km

I have a certain number of jelly beans, candies and gum. If I keep a certain number of each of these for myself, I can distribute the rest equally among x (x > 20) boys so that each boy gets an equal number of jelly beans, an equal number of candies and an equal number of gum. Which of the following could be the number of jelly beans, candies and gum that I have respectively?

A)673, 916, 1152

B)578, 482, 754

C)594, 804, 1098

D)1098, 1214, 1414

A's rate of doing work is 20% more than that of B and B's rate of doing work is 20% more than that of C. if C alone takes 364/5 days to complete a work, in how many days will A, B and C together complete the work?"

Select one:

a. 12 days

b. 14 days

c. 20 days

d. 10 days

e. None of these

20 men are estimated to complete a work in 50 days working for 5 hours a day. But after 15 days from the start of work, 10 men dropped the work. How many hours per day the remaining men have to work so as to complete the work on time?"


Select one:

a. 6

b. 8

c. 10

d. 12

e. None of these

A)if the question can be answered with the help of the information contained in either statement alone;

B)if the question can be answered with the help of the information contained in both statements together;

C)if the question can be answered with the help of information contained in any one statement alone but not by the information contained in the other statement alone ;

D)if the question cannot be answered even with the help of information contained in both statements together

A)487

B)118

C)1527

D)120

10 men started a job and they can complete it in 40 days. But after few days they increased their efficiency by 25% and so they completed the work six days earlier. How many days later from the start of the work did they increase their efficiency?


Select one:

a. 5

b. 6

c. 8

d. 10

e. 12

hey guys pls help..can i change my date of nmat exam for my first attempt?? rply

Hi Guys


Can any out there please comment on the level of TIME mocks (the sectional tests, MC, RCT etc..)

Are these comparable to actual CAT... If not please suggest some practice mocks...


Thanks

😃

What is the value of f(150), if f(-x) = -f(x), f(x + 1) = f(x) + 1 and f(1/x) = f(x)/x2, where x not 0?

@blowcat13 @jasneetdua @SatadeepBiswas @placiddisciple easy question..lets see who comes first 😛
  • 300
  • None of these
  • 1/150
  • 75

0 voters

In how many ways ,counting ties, can 4 horses cross the finishing line ?(eg - 2 horses, A and B can finish in 3 ways )

Principal : A pension of Rs 3600,to be paid in half yearly installments

rate: 6% annually
time: 10 yrs
given: (103)^-20 = 0.55362

Find the current value of pension.

OA: 26,782.80

Plz post the approach if you get the answer 😃

Three glasses of sizes 3 litres, 4litres and 5litres contain mixture of spirit and water in the ratio 2:3, 3:7 and 4:11 respectively. The contents of all the three glasses are poured into single vessel/ Find the ratio of spirit to water in the resultant mixture.

A)25:17

B)14:31

C)16:17

D)14:15

ABC is an equilateral triangle inscribed in a circle of radius 'r'. Find the area of the largest square that can be inscribed in it.