here are the answers of first 5 questions....

1. The sum of the even numbers between 1 and n is 79*80, where n is an odd number, then n=?

Sol:
First term a=2,
common difference d=2
since even numbertherefore sum to first n numbers of Arithmetic progression would be
x/2(2a+(x-1)d)
=> x/2(2*2+(x-1)*2)=x(x+1)
and this is equal to 79*80
therefore x=79 which is odd...
so number of even terms between 1 and n are 79.
means n= (1+2*79) =159


2. The price of a bushel of corn is currently $3.20, and the price of a peck of wheat is $5.80. The price of corn is increasing at a constant rate of 5x cents per day while the price of wheat is decreasing at a constant rate of cents per day. What is the approximate price when a bushel of corn costs the same amount as a peck of wheat?(A) $4.50(B) $5.10(C) $5.30(D) $5.50(E) $5.60

Soln:
320 + 5x = 580 - .41x; x = # of days after price is same;
solving for x; x is approximately 48,
thus the required price is 320 + 5 * 48 = 560
cents = $5.6

3. How many randomly assembled people do u need to have a better than 50% prob. that at least 1 of them was born in a leap year?

Soln:
Prob. of a randomly selected person to have NOT been born in a leap yr = 3/4Take 2 people,
probability that none of them was born in a leap = 3/4*3/4 = 9/16.
The probability at least one born in leap = 1- 9/16 = 7/16 < year =" 3/4*3/4*3/4" born =" 1" 64 =" 37/64"> 0.5
Thus min 3 people are needed.

4. In a basketball contest, players must make 10 free throws. Assuming a player has 90% chance of making each of his shots, how likely is it that he will make all of his first 10 shots?

Ans:
The probability of making all of his first 10 shots is given by(9/10)* (9/10)* (9/10)* (9/10)* (9/10)* (9/10)* (9/10)* (9/10)* (9/10)* (9/10) = (9/10)^10 = 0.348
=> 35%

5. A and B ran a race of 480 m. In the first heat, A gives B a head start of 48 m and beats him by 1/10th of a minute. In the second heat, A gives B a head start of 144 m and is beaten by 1/30th of a minute. What is B’s speed in m/s?(A) 12(B) 14(C) 16(D) 18(E) 20

Ans:
race 1 :- ta = tb-6 ( because A beats B by 6 sec)
race 2 :- Ta = tb+2 ( because A looses to B by 2 sec)
By the formula D= S * T
we get two equations
480/Sa = 432/Sb -6 ------------1)
480/Sa = 336/Sb +2------------2)
Equating these two equations we get
Sb = 12ta,
Sa stand for time taken by A and speed of A resp.

QUESTION # 5

A and B ran a race of 480 m. In the first heat, A gives B a head start of 48 m and beats him by 1/10th of a minute. In the second heat, A gives B a head start of 144 m and is beaten by 1/30th of a minute. What is B’s speed in m/s?
(A) 12
(B) 14
(C) 16
(D) 18
(E) 20

QUESTION # 4

In a basketball contest, players must make 10 free throws. Assuming a player has 90% chance of making each of his shots, how likely is it that he will make all of his first 10 shots?


NOTE: 1. we will announce the name of members who are leading the quiz after posting first 5 questions out of ten.
2. readers can post the answers of anyquestion until i post the answer of those questions.

(answers of first 5 questions will be posted one day after posting the fifth question)

just for regular readers

HEY GUYS...
this post is only and only for regular readers and visitors of this blog...
i am Gaurav. mod of this blog and making this post just to tell my unability of posting some matterial that i have been asked for.
actually the reason i am finding myself unable to supply the asked matterial is not my unwillingness to post that matterial for my readers but some other constriants. (legal and financial)

i am also a student like most of you and purchase all the matterial i supply to you from my part time earnings.
so please be a littile empathetic and give me some time to arrange the matterial.

thanks for reading
gaurav

QUESTION # 3

How many randomly assembled people do u need to have a better than 50% prob. that at least 1 of them was born in a leap year?

QUESTION # 2

The price of a bushel of corn is currently $3.20, and the price of a peck of wheat is $5.80. The price of corn is increasing at a constant rate of 5x cents per day while the price of wheat is decreasing at a constant rate of cents per day. What is the approximate price when a bushel of corn costs the same amount as a peck of wheat?
(A) $4.50
(B) $5.10
(C) $5.30
(D) $5.50
(E) $5.60

QUIZ #1 UPDATES

FINALLY WE GOT A REAL GREAT GIFT FOR YOU GUYS...
winer of the quiz, will get a copy of exclusive kaplan 800 .

so keep posting the answers

gaurav

QUESTION #1

The sum of the even numbers between 1 and n is 79*80, where n is an odd number, then n=?

THE FASTER YOU REPLY THE MAX YOU ARE LIKEL TO WIN....

QUIZ

for our regular readers... we are begining a quiz which will involve some 30 questions(1 question each)
the question will cover all sections and the first 5 answers will get 1 point each.
and at the end of the month the maximum point holder will get original copy of
1 vedic maths ebook + 1 book on demand(from the famous ones available like og or kaplan)
note: ebook version only

so start answering now ;)

BEST OF LUCK TO ALL READERS.

HAPPY DIWALI

WISH A VERY VERY HAPPY DIWALI TO ALL READERS...