[Official] Quant Thread for 2015!

From a solution, containing milk and water in the ratio 3 : 5, 20% of the solution is taken out and replaced with milk. How many more times should this process be repeated to make the ratio of milk to water in the final solution 17 : 8 ?

Point S is on the line PQ such that P-S-Q ? What does this mean? 

From a solution, containing milk and water in the ratio 3 : 5, 20% of the solution is taken out and replaced with milk. How many more times should this process be repeated to make the ratio of milk to water in the final solution 17 : 8 ?

There are 2n consecutive natural numbers. If (n + 1) numbers are randomly selected, then what is the probability that their HCF is 1?

What is the remainder when (362*363*364.....*454 + 362*454 ) is divided by 93! ?

a) 152753
b) 164348
c) 18996 
d) none of these

Dont know the correct ans. Please expkain with soln thanks!

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What is the remainder when { 2^11 + 5^11 + 8^11 + 11^11 + .......... + 119^11 } is divided by 2420 ?

any easier approach for the question 1 of quant section in AIMCAT 1610?

Numbers 1,2,3.....n are written. The numbers at the odd places are struck off and a new sequence is formed. Similarly, the process is repeated till we get a single number. What is that number if n = 527?

a) 256 b) 264 c) 512 d) none of these

Don't have the correct ans with me. Please explain the solution and approach. Thanks !

6. The average of five natural numbers is 150. A particular number among the five exceeds another by 100. The rest three numbers lie between these two numbers and they are equal. How many different values can the largest number among the five take?

1) 59

2) 19

3) 21

4) 42

7. A contractor agreed to finish a piece of work in 150 days. He employed 75 men and made them work for 8 hours per day. However, after 90 days, he realized that only 2/7th of the work was completed. How many more men would he need to employ to complete the work on time if he intended to make everybody work for 10 hours per day henceforth?

1) 75

2) 100

3) 150

4) 225

Q.4) Some friends planned to contribute equally to jointly buy a CD player. However, two of them decided to withdraw at the last minute. As a result, each of the others had to shell out one rupee more than what they had planned for. If the price (in Rs.) of the CD player is an integer between 1000 and 1100, find the number of friends who actually contributed?

(1) 21
(2) 23
(3) 44
(4) 46

What is the sum of the coefficients of (1 + x2 + x4)^10?

Q.5) What is the minimum value of the expression 2x^2 + 3y^2 - 4x - 12y+ 18?

(1) 18
(2) 10
(3) 4
(4) 0

simple and elegant... Approach required...


Q.6) Thirty-six equally spaced points - P1 through P36 - are plotted on a circle, and some of these points are joined successively to form a regular polygon. How many distinct such regular polygons are possible?

(1) 7
(2) 23
(3) 37
(4) 27
(5) None of these

The perimeter of a triangle is 20 cm. The sum of the medians in it is denoted by S. Which of the following always holds true?

14 to 19

16 to 20

10 to 18

14 to 20

P.S : Approach Required

a sugar merchant used a weight of 1080 gm instead of 1000 gm while buying 1kg of sugar. while selling one kg of sugar , he used weight of 900gm instead of 1000gm. what is his profit or loss percent

1.cp=sp


2.sp=1.2cp


You can collect rubies and emeralds as many as you can. Each ruby is worth Rs. 4 crores and each emerald is worth Rs. 5 crores. Each ruby weighs 0.3kg and each emearld weighs 0.4kg. Your bag can carry at most 12kg. What should you collect to get the maximum wealth? a)20 rubies and 15 emeralds. b) 40 rubies c) 28 rubies and 9 emralds d)none of these.

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If you form a subset of integers chosen from between 1 to 3000,such that no two integers add  upto a multiple of nine,what can be the maximum no of elements in the subset including both 1 and 3000?

a)1668 b)1332 c)1333 d)1336

please explain the approach .