Official Quant thread for CAT 2013

If f(x) = max (x^2 – 4, x, –1), then what is the minimum value of f(x)?

How many geometric progressions are possible, using the integers from 1 to 10 so that the progression should contain atleast 4 distinct elements?

1. 0

2. 1

3. 4

4. 9

5. 10

If x – y, x + 1, y + 1, x + y are in A.P, then what is the next term of that A.P.?

1. 0

2. 2

3. – 2

4. – 4

5. – 6



There are 10 blue balls, 7 red balls, 14 green balls, 12 yellow balls, 9 black balls and 1 purple ball inside a bag. What is the minimum number of balls that must be drawn to ensure that at least one triplet of balls (three balls of same colour) is definitely present among the balls chosen?

OPTIONS

1)6

2)11

3)12

4)None of the above

Each of X alarm tolls at regular intervals. All of them tolls together twelve times a day. No two alarm at equal intervals of time. If each alarm tolls after a whole number of minutes, what is the maximum possible value of X?


There are three equal containers that are completely filled with different water-alcohol mixtures with water and alcohol in the ratio 2 : 3, 3 : 4 and 4 : 5 respectively. They are emptied into a bigger container. What fraction of the mixture in the bigger container should be replaced by water so that the resulting mixture has equal quantities of water and alcohol?

can anyone tell me what should be the minimum no. of attempts with 100% accuracy to secure 99%ile?????

Each of the five persons - Ditu, Tara, Lata, Asha and Manek either tells the truth or lies. One among Ditu, Tara, Lata and Asha is the daughter of Manek. Four of them made the following statements about all of them.Ditu: Either Tara or Asha is the daughter of Manek.Tara: There is exactly one liar, among five of us.Asha: There is exactly one truth teller among five of us. Manek: My daughter and I both either tell the truth or lie.

28.

Who among the following must be a truth teller?

Lata

Manek

Asha

More than one of the above.

can any one explain

A mathematics professor has 100 students in his class. Since he wants to give one question to each student as assignment, he asks the first student to pick a chit with a question number written on it. This student picks questionnumber 18. The professor performs some calculations and assigns question 63 to the second student. Performing the same calculations, he assigns question numbers 27, 45 and 9 to the third, fourth and fifth student respectively. Whatquestion number will he assign to the 78th student, if one question can be assigned to more than one student?

OPTIONS

1)18

2)63

3)27

4)36

5)None of the above

a^2+b^2=1,c^2+d^2=1,ac+bc=0 .a,b,c,d are real numbers. What is the value for a^2+c^2?

Three consecutive +ve integers are raised to their 1st,2nd and 3rd power respctvly and are then added. The sum so obtained is a perfect square whose roots equal the total of the three original integers. Which of the following best describes the minimum say m of these integers?

A) 1

B)4

C)7

D)10

E)13

two bodies moving along a circle in the same direction meet every 49 min. had they moved at same speeds in opp. directions, they would meet every 7 min . if, moving in the op. directions , the bodies are at distance of 40 m from each other along the arc at t=0 , then at t=24 sec, their distance will be 26 m (bodies do not meet during those 24 sec). find the speed of faster body in m/min

One red flag, three white flags and two blue flags are arranged in a line such that:

I. No two adjacent flags are of the same colour

II. The flags at the two ends of the line are of different colours


In how many different ways can the flags be arranged?

6,4,10,2

If a man travels at 3/4th of his usual speed he is late to his office by 25 minutes. If he walks at 5/3 times the original speed, how much time he can save?

A retail store offered a discount of 20% to its customers. After 60% of the goods were sold, the store offered a further discount of 10% on the earlier discount price for the remaining goods. If the store made a profit of 28% after selling all the goods, how much profit would it have made had the second discount not been given? Assume all the goods were sold in both the cases.

OPTIONS

1)30%

2)33.33%

3)37.5%

4)None of the above

Find the remainder when (123123123123..................300digits) is divided by 37. Approach?

Two consecutive numbers are removed from a list of first n natural numbers. The average of the

remaining numbers is 21 1/3(64/3)

What is the product of the two numbers that have been removed?

a. 210 b. 756 c. 240 d. Cannot be determined

how will u calculate the sum of the series:
1+2+4+7+11+16+....upto 50 terms
i.e, the difference between the terms forms an AP

What annual payment will discharge s debt of Rs 1025 due in 2 years at the rate of 5% compound interest?

1. 550/-2. 551.25/-3. 560/-4. 560.75/-

How to Solve ! ?

A starts from home for his office. He travels downhill, then on flat ground and then uphill to reach his office. During this, the time taken to travel uphill and on flat ground is the same. It takes him 3 hrs to reach the office. On the way back home A takes 3 hrs 10 min to reach home along the same route. The speeds downhill is 60 km/hr, on flat ground is 48 km/hr and uphill is 40 km/hr.

What is the distance between A's home and his office?


1) 144

2) 148

3) 156

4) CBD.