[Official] Quant Thread for 2015!

The number of ways in which a mixed double tennis game can be arranged amongst 9 married couples if no husband and wife play in the same game is:

A. 1514 B. 1512 C. 3024 D. None of the above

The interior angles of a polygon are in Arithmetic Progression. If the smallest angle is 120° and common difference is 5°, then number of sides in the polygon is:

A. 7 B. 8 C. 9 D. None of the above

McDonald's ran a campaign in which it gave game cards to its customers. These game cards made it possible for customers to win hamburgers, French fries, soft drinks, and other fast-food items, as well as cash prizes. Each card had 10 covered spots that could be uncovered by rubbing them with a coin. Beneath three of these spots were "No Prize" signs. Beneath the other seven spots were names of prizes, two of which were identical. For example, one card might have two pictures of a hamburger, one picture of a Coke, one of French fires, one of a milk shake, one of $5, one of $1000, and three "No Prize" signs. For this card the customer could win a hamburger. To win on any card, the customers had to uncover the two matching spots (which showed the potential prize for that card) before uncovering a "No Prize"; any card with a "No Prize" uncovered was automatically void. Assuming that the two matches and the three "No Prize" signs were arranged randomly on the cards, what is the probability of a customer winning?

A. 0.10 B. 0.15 C. 0.12 D. None of the above

While packing for a business trip Mr. Debashis has packed 3 pairs of shoes, 4 pants, 3 half-pants, 6 shirts, 3 sweater and 2 jackets. The outfit is defined as consisting of a pair of shoes, a choice of "lower wear" (either a pant or a half-pant), a choice of "upper wear" (it could be a shirt or a sweater or both) and finally he may or may not choose to wear a jacket. How many different outfits are possible?

A. 567 B. 1821 C. 743 D. None of the above

TWO CLOCKS SHOW SAME TIME AT 4 P.M. THE FIRST CLOCK LOSES 10MIN EVERY 2HR AND THE SECOND GAINS 10MIN EVERY HOUR. WHEN WILL THEY BOTH SHOW THE SAME TIME AGAIN?

At a nature trail camp, one-fifth of the total members went rock climbing; twice the square root of the total members went hiking up a mountain trail. The remaining 10 were exploring in caves. How many members went hiking?

how many distinct elements are there in the set of polynomials of degree atmost 'n' in which the coefficients are the elements from the set { 0,1,2...p-1 }  where p is the prime number ?

## IMS worksheet ques ## NO OA 😞

How many triangles can be formed from the 6 points in a pentagon, 5  of which are the vertices of the pentagon and the the 6th point is the centre of the polygon ?

approach!

If the number of ways in which n distinct things can be distributed among n persons so that at least one person does not get anything is 232. Then n is?

#Please provide an approach too.

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There is a punting game in Western India called as "MATKA". It implies that you take positions on 1 / 2 digit no.s . If that no comes out as a result, you get a return of 9 / 90 times the money pegged/ position taken. These are the two numbers gamed everyday. ( one 1 digit no and a two digit no.. wherein the 1 digit no forms the 1st digit of the two digit no ). Players can take position on both the numbers and they can be different. The positions are for one kind of no only. => a position for 44 is valid only on 44 and not 4, though the player is allowed to take another position on 4 only. 

The nos are calculates as:- A card is drawn out of a normal deck and it forms the 1 digit no and the 1st digit (Tens) digit of the second no. Then after replacement, another card is drawn which forms the other digit of the two digit no. For 2 digit cards, it is =>  10 =1+0=1 Jack=11=1+1 Queen= 1+2=3..... like that and Ace=01)

In Western Indian, they also have a belief to play on all possible combinations of a newly purchased vehicle ( single and double digit nos are only allowed ) . I bought a bike with no.s 4817. My friend decides to take positions on no.s.

1. What is the probability that he wins any amount ?

2. What is the maximum % of profit he can make ? 

3. The probability of his maximum and minimum return ?

4. What would be the answers to all the above questions, if the first card was not replaced ? 

P.S.- Question created by me 😛 . Was bored by the slowness of PG. So no OA. Better have your explanations to answer or kill someone's answer. 

Integers from 1 to 300 are written as 12345....300.

Then the units digit of the 1st 2-digit no is erased and the tens digit of second 2 digit no is erased and so on i.e. 0 is erased from 10, 1 is erased from 11, 2 from 12, 1 from 13 and so on.

Similarly units digit of 1st 3 digit no, tens digit of 2nd 3 digit no and hundreds digit of 3rd 3 digit no are erased and so on.

Thus a no. N is formed.

What is the remainder when N is divided by 9.

Guys how to find if a year is a leap year or not...this is method used by microsoft..

To determine whether a year is a leap year, follow these steps:

  1. If the year is evenly divisible by 4, go to step 2. Otherwise, go to step 5.
  2. If the year is evenly divisible by 100, go to step 3. Otherwise, go to step 4.
  3. If the year is evenly divisible by 400, go to step 4. Otherwise, go to step 5.
  4. The year is a leap year (it has 366 days).
  5. The year is not a leap year (it has 365 days).  is it correct ?? @Going_High  @psycho.munna  @s.goel4991  @himanshuk15 

The sides of a triangle ABC are in ratio of 5:4:3, given that another similar triangle XYZ of sides 30,24 & 18 cm has an area 9 times the area of the triangle.What is the sides of triangle ABC ?

How many whole number solutions exist to the equation a + b + c = 15 such that a,b and c is less than or equal to 8.

Given that a function f(x) = 0 holds true for only one real value of x. If the product of f(1), f(2) and f(3) is less than zero, and f(2) is also less than zero, which of the following cannot be a possible value of x for which f(x) = 0?

  • -root61
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  • i don’t know correct answer
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The diagonal DB of square ABCD, of side 2 cm, is extended to an external point P such that CA = CP. Find the area of the triangle ABP.

f(x) = ax^n + bx^n-1 + cx^n-2 +.........d where n is a natural number

When f(x) is divided by x+3 ,remainder is 6 and when divided by x-2 remainder is 11

What will be the remainder when f(x) is divided by x^2 + x -6 ???

A person has to weigh 6 different packets. He weighs 4 at a time , weighing all possible combinations from six. The avg. wt. of the combinations is 500gm. What is the combined weight of all 6 packets??? Approach too.......

Does anyone knows the method of direct conversion between two bases, one of which is power of other? example- how will  3253 in base 8 be converted to base 2?



How many even natural nos between 100 and 1000 with all distinct digits ?

a)324 b)320 c)328 d)648