[Official] Quant Thread for 2015!

http://i.imgur.com/kHwk4Vm.jpg

Last years Quant Concept Thread some very good formulae -


https://drive.google.com/file/d/0B1q95mrfJaw3dXBMZFZ4UThfSUE/view?usp=sharing

If sin A + sin2A = 1, then cos2A + cos4A = 

Sonal and Deepali started swimming towards each other simultaneously from points A and B respectively situated at two ends of a 96 km long stretch of a river. Destinations of Deepali and Sonal were points A and B respectively. Both of them could swim at 12 kmph in still water. When they started, it was high tide and Sonal swam against the stream. As soon as they met, the tide changed to 'low tide' and then Deepali faced the resistance of the stream. Deepali and Sonal took 7 hr 12 min and 8 hr min to reach their destinations respectively. [Speed of the stream during high and low tide need not necessarily be the same.] "

If they had continued to swim back to their respective starting points after reaching their destinations, then where would they have met during the return journey? [Assume tide changed only once, immediately after their first meeting]

a. 32 km from A

b. 32 km from B

c. 72 km from A

d. 60 km from B

Tricky Question :

A committee of 3 members has to be formed from 4 men and 3 women ensuring 1 man and 1 woman has to be selected. Find the number of ways of achieving this?

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Another tricky question

A set has 6 elements. In how many ways can it be divided into 2 groups?

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http://s23.postimg.org/ul0tjg1q3/Untitled_picture.png

http://i.imgur.com/svUnI0c.jpg?1

last two digits of 2^1053 ?

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there are 7 letters a, b c, d, e, f ,g each represented by different digit number from 0-9 such that a*b*c=b*g*e = d*e*f.

find which digit represents g.

approach please.


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1+2+3+4+5+6+7+8+9+10=101

in how many places you need to change '+' with '*' to make the equality true?


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3^51 divided by 28 . remainder ?

sol plz

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Four unbiased dice are thrown simultaneously. If the product of the outcomes is x, what is the probability that x has at least two consecutive zeroes at the end?

What is the remainder when the number 123123123.......(100 times) is divided by 99?

61^60/29

rem?

solution please!

Rectangular floor... 24*10 feet 

1. minimum no of square tiles required to floor the room completely.

2. min no of identical square tiles reqd to floor the room completely .

http://maths.wordpandit.com/remainders-part-4/

Hope this will help my friends struggling with few problems on remainders.... All the best guys

Speed of a bus with just the driver sitting in it is 60 kmph. The decrease in speed is directly proportional to the number of people sitting in it. With 9 passengers and a driver, speed is 54 kmph. Find maximum passengers it can carry.

The density of 3 elements A, B and C are 5, 10 and 15 gm/ml respectively. A and B are mixed in equal ratio by volume to form a compound D. C and D are mixed in some weight ratio to form a compound E. If density of E is 10 gm/ml. Calculate weight ratio in which C and D are mixed.


What is the maximum value of the product (15−p)^9∗(p+5)^11 ,where p lies between -5 and 15.

A)11^10 * 9^10

B)10^20

C)11^11 * 9^9

D)11^9 * 9^11