A certain manufacturer of cake , muffin and bread mixes has 100 buyers, of whom 50 purchases cake mix , 40 purchases muffin mix and 20 purchases both cake mix & muffin mix.If a buyer is to be selected at random from the 100 buyers, what is the probability that the buyer selected will be one who purchases neither cake mix nor muffin mix?
a) 1/10 b) 3/10 c) 1/2 d) 7/10 e) 9/10
@ Ash16,
Can you explain bit more on this explaination. I am unable to understand it.
Deepak
I think there are 2 answers to this question .
As we know for calculating the no. of factors of a no. we multiply the (powers
Of prime factors+1).
Choice 1 is 22. which can be possible to get if we assume K= X(power)7
Choice 2 is 27. Not possible, to get 27 we need to have 9*3 which is not possible by taking any no. of prime factors of K.
Choice 3 is 40. Not possible, to get 40 we require 8*5, we cannot get 5 as multiplying factor.
Choice 4 is 64: which is possible if we consider K= XYZ..
Please correct me if I am wrong..
Person can wear any number of rings in one finger. So, we have to decide answer using rings:-
4*4*4*4*4 should be the correct answer..
-->
for 1st finger, one can select from 5 rings
for 2nd finger, one can select from 4 rings
for 3rd finger, one can select from 3 rings
for 4th finger, one can select from 2 rings
Hence, Ans- > 5*4*3*2 ~ 5P4
IMO - B
OA pls...
Person can wear any number of rings in one finger. So, we have to decide answer using rings:-
4*4*4*4*4 should be the correct answer..
If the square root of the product of three distinct positive integers is equal to the largest of the three numbers, what is the product of the two smaller numbers?
(1) The largest number is 12.
(2) The average (arithmetic mean) of the three numbers is 20/3
The price of a microchip declines by 66% every 6 months. At this rate, approximately how many years will it take for the price of an $81 microchip to reach $1 per chip?
A) 1.5 years
B) 2 years
C) 2.5 years
D) 13 years
E) 13.5 years
this one's simple.. but it'd be nice if someone can come up with a simpler/faster way to solve this!!
Note: See chart in attachment!
The chart lists the sales per month from Jan to June. Which month showed the greatest percentage increase in sales from the prior month?
The price of a microchip declines by 66% every 6 months. At this rate, approximately how many years will it take for the price of an $81 microchip to reach $1 per chip?
A) 1.5 years
B) 2 years
C) 2.5 years
D) 13 years
E) 13.5 years
this one's simple.. but it'd be nice if someone can come up with a simpler/faster way to solve this!!
2 ways:
1) 1= 81 (1-66/100)^2x
=>1/81=(1/3)^2x
=>x =2
2) declines by 66% each year..so reduce by 2/3rd..
81,
After 6 months :27
After 1 year :9
After 1 year 6 months :3
After 2 years :1
Ans (A)
sq. root of a*b*c = c , then a*b = c
(1) sufficient
(2) a+b+ab = 20 ==> by hit and trial, only one soln. a=5, b=2, ab = 10
so, sufficient..
hence, answer D
Ans (B) Final Price = Initial Price * ( 1 - declining %age )^n
where n = number of years (In this case, n = 2n because rate is for 6 months or we can say depreciation is 2 times a year)
So, 1 = 81 * (1-66/100)^2n
=> 1 = 81 * (1/3)^2n
=> 1 = 81 * (1/9)^n
=> n = 2 years
If the square root of the product of three distinct positive integers is equal to the largest of the three numbers, what is the product of the two smaller numbers?
(1) The largest number is 12.
(2) The average (arithmetic mean) of the three numbers is 20/3
The price of a microchip declines by 66% every 6 months. At this rate, approximately how many years will it take for the price of an $81 microchip to reach $1 per chip?
A) 1.5 years
B) 2 years
C) 2.5 years
D) 13 years
E) 13.5 years
this one's simple.. but it'd be nice if someone can come up with a simpler/faster way to solve this!!
posting the qs after the modifications
1.If y 3 and x is a prime integer greater than 2, which of the following must be true?
i) x = y
ii) y = 1
iii). x and y are prime integers.
(A) None
(B) i only
(C) ii only
(D) iii only
(E) i and iii
2.A certain basketball team that has played 2/3 of its games has a record of 17 wins and 3 losses. What is the greatest number of the remaining games that the team can lose and still win at least of all of its games?
(A) 7
(B) 6
(C) 5
(D) 4
(E) 3
deepakraam Says40 can also be written as 10*4.Think now
@ Ash16,
Can you explain bit more on this explaination. I am unable to understand it.
Ans (A)
sq. root of a*b*c = c , then a*b = c
(1) sufficient
(2) a+b+ab = 20 ==> by hit and trial, only one soln. a=5, b=2, ab = 10
so, sufficient..
hence, answer D
Ans (B) Final Price = Initial Price * ( 1 - declining %age )^n
where n = number of years (In this case, n = 2n because rate is for 6 months or we can say depreciation is 2 times a year)
So, 1 = 81 * (1-66/100)^2n
=> 1 = 81 * (1/3)^2n
=> 1 = 81 * (1/9)^n
=> n = 2 years
Note: See chart in attachment!
The chart lists the sales per month from Jan to June. Which month showed the greatest percentage increase in sales from the prior month?
Hey Nipun,
How do you prove 5 + 2 +10 = 20...???
My answer would be (A)
Oppss
My mistake I did not consider this option..
Thanks for correcting Deepak..
The answer should be 27 than ..
What is OA..
If the square root of the product of three distinct positive integers is equal to the largest of the three numbers, what is the product of the two smaller numbers?
(1) The largest number is 12.
(2) The average (arithmetic mean) of the three numbers is 20/3
The price of a microchip declines by 66% every 6 months. At this rate, approximately how many years will it take for the price of an $81 microchip to reach $1 per chip?
A) 1.5 years
B) 2 years
C) 2.5 years
D) 13 years
E) 13.5 years
this one's simple.. but it'd be nice if someone can come up with a simpler/faster way to solve this!!
Lets suppose 3 no.s are x,y,z.
From condition given, we have (x*y*z)^1/2=largest of the three no.s
From 1) we get product of smallest two no.s=12 ..SUFF.
From 2) average is 20/3 means sum of three no.s is 20 , x+y+z=20, let us suppose from the condition given x*y*z=z^2 considering z as largest of 3 no.s.
We get x*y=z
Now x+y+z=20 & x*y=z ,
We get x+y+xy=20.
Since from the conditions given x,y,z are distinct positive integers.
We can clearly see that x or y=6 & x or y =2 so this condition is also sufficient
Answer is D.
OA Please
Hey Nipun,
How do you prove 5 + 2 +10 = 20...???
My answer would be (A)
Ans (A)
sq. root of a*b*c = c , then a*b = c
(1) sufficient
(2) a+b+ab = 20 ==> by hit and trial, only one soln. a=5, b=2, ab = 10
so, sufficient..
hence, answer D
Ans (B) Final Price = Initial Price * ( 1 - declining %age )^n
where n = number of years (In this case, n = 2n because rate is for 6 months or we can say depreciation is 2 times a year)
So, 1 = 81 * (1-66/100)^2n
=> 1 = 81 * (1/3)^2n
=> 1 = 81 * (1/9)^n
=> n = 2 years
The price of a microchip declines by 66% every 6 months. At this rate, approximately how many years will it take for the price of an $81 microchip to reach $1 per chip?
A) 1.5 years
B) 2 years
C) 2.5 years
D) 13 years
E) 13.5 years
If the square root of the product of three distinct positive integers is equal to the largest of the three numbers, what is the product of the two smaller numbers?
(1) The largest number is 12.
(2) The average (arithmetic mean) of the three numbers is 20/3