1)rohit drew a rectangular grid of 529 cells ,arranged in 23 rows and 23 columns and filled each cell with a number.The numbers with which he filled each cell were such that the numbers of each row taken from left to right formed an arithmetic series and the numbers of each column taken from top to bottom formed an arithmetic series.The seventh and the seventeeth numbers of the fifth row were 47 and 63 respectively while the seventh and seventeenth numbers of the fifteenth row were 53 and 77 respectively.What is the sum of all the numbers in the grid ?
a)32798 b)65596 c)52900 d) none of these
2)At burger king - a famous fast food centre on main street in pune,burgers are made only on an automatic burger making machine.The machine continuously makes different sorts of burgers by ading different sorts of fillings on a common bread.The machine makes the burgers at the rate of 1 burger per half a minute.The various fillings are added to the burgers in the following manner.The 1 st,5 th,9 th.... burgers are filled with a chicken patty;the 2nd, 9th,16th ....burgers with vegetable patty;the 1st,5th,9th .....burgers with mushroom patty and the rest with plain cheese and tomato fillings.
the machine makes exactly 660 burgers per day
How many burgers per day are made with the cheese and the tomato as fillings ?
a)424 b)236 c) 237 d) none of these
how many burgers are made with all the three fillings chicken,vegetable and mushroom ?
a)23 b)24 c)25 d)26
3) product of the fourth and the fifth term of an AP is 456.Division of the 9 th term by the 4 th term of the progression gives quotient as 11 and the remainder as 10.Find the first term of the progression .
a)-52 b) -42 c)-56 d)-66 e) -50
4) sum to n terms of the series log m + log m^2/n + log m^3/n^2 + log m^4/n^3 ... is
5) one side of the staircase is to be closed in by rectangular planks from the floor to each step.The wudth of each palnk is 9 inches and their height are successively 6 inches,12 inches,8 inches and so on... There are 24 planks required in total.FInd the area in square feet.
a)112.5 b) 107 c)118.5 d) 105
6) the sum of the squares of the 5 th and the 11 th term of an AP is 3 and the product of the second and the fourteenth term is equal to P.Find the product of the 1 st and 15 th term of the AP
a) (58P - 39)/45 b) (98P + 39)/72 c) (116P - 39)/90 d) ( 98P + 39)/90
1)rohit drew a rectangular grid of 529 cells ,arranged in 23 rows and 23 columns and filled each cell with a number.The numbers with which he filled each cell were such that the numbers of each row taken from left to right formed an arithmetic series and the numbers of each column taken from top to bottom formed an arithmetic series.The seventh and the seventeeth numbers of the fifth row were 47 and 63 respectively while the seventh and seventeenth numbers of the fifteenth row were 53 and 77 respectively.What is the sum of all the numbers in the grid ?
a)32798 b)65596 c)52900 d) none of these
2)At burger king - a famous fast food centre on main street in pune,burgers are made only on an automatic burger making machine.The machine continuously makes different sorts of burgers by ading different sorts of fillings on a common bread.The machine makes the burgers at the rate of 1 burger per half a minute.The various fillings are added to the burgers in the following manner.The 1 st,5 th,9 th.... burgers are filled with a chicken patty;the 2nd, 9th,16th ....burgers with vegetable patty;the 1st,5th,9th .....burgers with mushroom patty and the rest with plain cheese and tomato fillings.
the machine makes exactly 660 burgers per day
How many burgers per day are made with the cheese and the tomato as fillings ?
a)424 b)236 c) 237 d) none of these
how many burgers are made with all the three fillings chicken,vegetable and mushroom ?
a)23 b)24 c)25 d)26
3) product of the fourth and the fifth term of an AP is 456.Division of the 9 th term by the 4 th term of the progression gives quotient as 11 and the remainder as 10.Find the first term of the progression .
a)-52 b) -42 c)-56 d)-66 e) -50
4) sum to n terms of the series log m + log m^2/n + log m^3/n^2 + log m^4/n^3 ... is
5) one side of the staircase is to be closed in by rectangular planks from the floor to each step.The wudth of each palnk is 9 inches and their height are successively 6 inches,12 inches,8 inches and so on... There are 24 planks required in total.FInd the area in square feet.
a)112.5 b) 107 c)118.5 d) 105
6) the sum of the squares of the 5 th and the 11 th term of an AP is 3 and the product of the second and the fourteenth term is equal to P.Find the product of the 1 st and 15 th term of the AP
a) (58P - 39)/45 b) (98P + 39)/72 c) (116P - 39)/90 d) ( 98P + 39)/90
6) the sum of the squares of the 5 th and the 11 th term of an AP is 3 and the product of the second and the fourteenth term is equal to P.Find the product of the 1 st and 15 th term of the AP
a) (58P - 39)/45 b) (98P + 39)/72 c) (116P - 39)/90 d) ( 98P + 39)/90
here (a+4d)^2 + (a+10d)^2 = 3
so a^2 + 14ad + 58d^2=3/2
& (a+d) * (a+13d)=P
so a^2 + 14ad = P-13d^2
Now we need a*(a+14d)=a^2+14ad
so a^2 + 14ad=P-13d^2=P-13((3/2-P)/45)
so ans is (116P-39)/90
ans option (C)
1)rohit drew a rectangular grid of 529 cells ,arranged in 23 rows and 23 columns and filled each cell with a number.The numbers with which he filled each cell were such that the numbers of each row taken from left to right formed an arithmetic series and the numbers of each column taken from top to bottom formed an arithmetic series.The seventh and the seventeeth numbers of the fifth row were 47 and 63 respectively while the seventh and seventeenth numbers of the fifteenth row were 53 and 77 respectively.What is the sum of all the numbers in the grid ?
a)32798 b)65596 c)52900 d) none of these
2)At burger king - a famous fast food centre on main street in pune,burgers are made only on an automatic burger making machine.The machine continuously makes different sorts of burgers by ading different sorts of fillings on a common bread.The machine makes the burgers at the rate of 1 burger per half a minute.The various fillings are added to the burgers in the following manner.The 1 st,5 th,9 th.... burgers are filled with a chicken patty;the 2nd, 9th,16th ....burgers with vegetable patty;the 1st,5th,9th .....burgers with mushroom patty and the rest with plain cheese and tomato fillings.
the machine makes exactly 660 burgers per day
How many burgers per day are made with the cheese and the tomato as fillings ?
a)424 b)236 c) 237 d) none of these
how many burgers are made with all the three fillings chicken,vegetable and mushroom ?
a)23 b)24 c)25 d)26
3) product of the fourth and the fifth term of an AP is 456.Division of the 9 th term by the 4 th term of the progression gives quotient as 11 and the remainder as 10.Find the first term of the progression .
a)-52 b) -42 c)-56 d)-66 e) -50
4) sum to n terms of the series log m + log m^2/n + log m^3/n^2 + log m^4/n^3 ... is
5) one side of the staircase is to be closed in by rectangular planks from the floor to each step.The wudth of each palnk is 9 inches and their height are successively 6 inches,12 inches,8 inches and so on... There are 24 planks required in total.FInd the area in square feet.
a)112.5 b) 107 c)118.5 d) 105
6) the sum of the squares of the 5 th and the 11 th term of an AP is 3 and the product of the second and the fourteenth term is equal to P.Find the product of the 1 st and 15 th term of the AP
a) (58P - 39)/45 b) (98P + 39)/72 c) (116P - 39)/90 d) ( 98P + 39)/90
For ques no 4 can ve have the options plz..coz dis is log and the answer can be written in a lot of formats..
The answer which i am getting is log(m^1-n/n^1-m)^n/2
Correct me if i am wrong..regarding the AP question i am so stuck in it..
Can i have its answer plz nd other puys help me out in this AP question...
Nd burgers dekh ke to i am hungry..
1)rohit drew a rectangular grid of 529 cells ,arranged in 23 rows and 23 columns and filled each cell with a number.The numbers with which he filled each cell were such that the numbers of each row taken from left to right formed an arithmetic series and the numbers of each column taken from top to bottom formed an arithmetic series.The seventh and the seventeeth numbers of the fifth row were 47 and 63 respectively while the seventh and seventeenth numbers of the fifteenth row were 53 and 77 respectively.What is the sum of all the numbers in the grid ?
a)32798 b)65596 c)52900 d) none of these
2)At burger king - a famous fast food centre on main street in pune,burgers are made only on an automatic burger making machine.The machine continuously makes different sorts of burgers by ading different sorts of fillings on a common bread.The machine makes the burgers at the rate of 1 burger per half a minute.The various fillings are added to the burgers in the following manner.The 1 st,5 th,9 th.... burgers are filled with a chicken patty;the 2nd, 9th,16th ....burgers with vegetable patty;the 1st,5th,9th .....burgers with mushroom patty and the rest with plain cheese and tomato fillings.
the machine makes exactly 660 burgers per day
How many burgers per day are made with the cheese and the tomato as fillings ?
a)424 b)236 c) 237 d) none of these
how many burgers are made with all the three fillings chicken,vegetable and mushroom ?
a)23 b)24 c)25 d)26
3) product of the fourth and the fifth term of an AP is 456.Division of the 9 th term by the 4 th term of the progression gives quotient as 11 and the remainder as 10.Find the first term of the progression .
a)-52 b) -42 c)-56 d)-66 e) -50
4) sum to n terms of the series log m + log m^2/n + log m^3/n^2 + log m^4/n^3 ... is
5) one side of the staircase is to be closed in by rectangular planks from the floor to each step.The wudth of each palnk is 9 inches and their height are successively 6 inches,12 inches,8 inches and so on... There are 24 planks required in total.FInd the area in square feet.
a)112.5 b) 107 c)118.5 d) 105
6) the sum of the squares of the 5 th and the 11 th term of an AP is 3 and the product of the second and the fourteenth term is equal to P.Find the product of the 1 st and 15 th term of the AP
a) (58P - 39)/45 b) (98P + 39)/72 c) (116P - 39)/90 d) ( 98P + 39)/90
Regarding question 2 a)
No of patty filled with chicken...660/4=165
No of patty filled with vegetable...660/7=94
No of patty filled with mushroom again 165
The sum is 424
Total burger by the machine 660
The answer is 660-424=236..or is it??
Question 2b)
the common terms between all the 3 AP's comes out to start with 9 and with a common difference of LCM of 4 and 7 that is 28..th answer to this question therefore is 24...660/28 gives us 23 but then 24th patty will also be filled with the three filllings..
1)rohit drew a rectangular grid of 529 cells ,arranged in 23 rows and 23 columns and filled each cell with a number.The numbers with which he filled each cell were such that the numbers of each row taken from left to right formed an arithmetic series and the numbers of each column taken from top to bottom formed an arithmetic series.The seventh and the seventeeth numbers of the fifth row were 47 and 63 respectively while the seventh and seventeenth numbers of the fifteenth row were 53 and 77 respectively.What is the sum of all the numbers in the grid ?
a)32798 b)65596 c)52900 d) none of these
2)At burger king - a famous fast food centre on main street in pune,burgers are made only on an automatic burger making machine.The machine continuously makes different sorts of burgers by ading different sorts of fillings on a common bread.The machine makes the burgers at the rate of 1 burger per half a minute.The various fillings are added to the burgers in the following manner.The 1 st,5 th,9 th.... burgers are filled with a chicken patty;the 2nd, 9th,16th ....burgers with vegetable patty;the 1st,5th,9th .....burgers with mushroom patty and the rest with plain cheese and tomato fillings.
the machine makes exactly 660 burgers per day
How many burgers per day are made with the cheese and the tomato as fillings ?
a)424 b)236 c) 237 d) none of these
how many burgers are made with all the three fillings chicken,vegetable and mushroom ?
a)23 b)24 c)25 d)26
3) product of the fourth and the fifth term of an AP is 456.Division of the 9 th term by the 4 th term of the progression gives quotient as 11 and the remainder as 10.Find the first term of the progression .
a)-52 b) -42 c)-56 d)-66 e) -50
4) sum to n terms of the series log m + log m^2/n + log m^3/n^2 + log m^4/n^3 ... is
5) one side of the staircase is to be closed in by rectangular planks from the floor to each step.The wudth of each palnk is 9 inches and their height are successively 6 inches,12 inches,8 inches and so on... There are 24 planks required in total.FInd the area in square feet.
a)112.5 b) 107 c)118.5 d) 105
6) the sum of the squares of the 5 th and the 11 th term of an AP is 3 and the product of the second and the fourteenth term is equal to P.Find the product of the 1 st and 15 th term of the AP
a) (58P - 39)/45 b) (98P + 39)/72 c) (116P - 39)/90 d) ( 98P + 39)/90
Can anyone tell me how to convert inches into feet or vice -versa??
1)rohit drew a rectangular grid of 529 cells ,arranged in 23 rows and 23 columns and filled each cell with a number.The numbers with which he filled each cell were such that the numbers of each row taken from left to right formed an arithmetic series and the numbers of each column taken from top to bottom formed an arithmetic series.The seventh and the seventeeth numbers of the fifth row were 47 and 63 respectively while the seventh and seventeenth numbers of the fifteenth row were 53 and 77 respectively.What is the sum of all the numbers in the grid ?
a)32798 b)65596 c)52900 d) none of these
2)At burger king - a famous fast food centre on main street in pune,burgers are made only on an automatic burger making machine.The machine continuously makes different sorts of burgers by ading different sorts of fillings on a common bread.The machine makes the burgers at the rate of 1 burger per half a minute.The various fillings are added to the burgers in the following manner.The 1 st,5 th,9 th.... burgers are filled with a chicken patty;the 2nd, 9th,16th ....burgers with vegetable patty;the 1st,5th,9th .....burgers with mushroom patty and the rest with plain cheese and tomato fillings.
the machine makes exactly 660 burgers per day
How many burgers per day are made with the cheese and the tomato as fillings ?
a)424 b)236 c) 237 d) none of these
how many burgers are made with all the three fillings chicken,vegetable and mushroom ?
a)23 b)24 c)25 d)26
3) product of the fourth and the fifth term of an AP is 456.Division of the 9 th term by the 4 th term of the progression gives quotient as 11 and the remainder as 10.Find the first term of the progression .
a)-52 b) -42 c)-56 d)-66 e) -50
4) sum to n terms of the series log m + log m^2/n + log m^3/n^2 + log m^4/n^3 ... is
5) one side of the staircase is to be closed in by rectangular planks from the floor to each step.The wudth of each palnk is 9 inches and their height are successively 6 inches,12 inches,8 inches and so on... There are 24 planks required in total.FInd the area in square feet.
a)112.5 b) 107 c)118.5 d) 105
6) the sum of the squares of the 5 th and the 11 th term of an AP is 3 and the product of the second and the fourteenth term is equal to P.Find the product of the 1 st an
d 15 th term of the AP
a) (58P - 39)/45 b) (98P + 39)/72 c) (116P - 39)/90 d) ( 98P + 39)/90[/QUOT
Regarding the rohit question....let us take first term of the grid as a..
and d as common difference on row side and d' as common differnece along side column..
Now seventh term and seventeenth term of fifth row will be
a+4d+6d'=47 and a+4d+16d'=63..
now find out the value of d'
ANd applying th same logic to the second part of the problem we get a+14d+6d'=53 and a+14d+14d'=77..
Find the value of d and then find the value of a
Now we have the first term as a common difference for both the series as d and d'...apply the sum of an AP..and the answer is option a.
If u still have not been able to grasp do tell me..
CHEERS
ayush13 SaysCan anyone tell me how to convert inches into feet or vice -versa??
Hey dude
1 ft =12 inch
2)At burger king - a famous fast food centre on main street in pune,burgers are made only on an automatic burger making machine.The machine continuously makes different sorts of burgers by ading different sorts of fillings on a common bread.The machine makes the burgers at the rate of 1 burger per half a minute.The various fillings are added to the burgers in the following manner.The 1 st,5 th,9 th.... burgers are filled with a chicken patty;the 2nd, 9th,16th ....burgers with vegetable patty;the 1st,5th,9th .....burgers with mushroom patty and the rest with plain cheese and tomato fillings.
the machine makes exactly 660 burgers per day
How many burgers per day are made with the cheese and the tomato as fillings ?
a)424 b)236 c) 237 d) none of these
660/4=165
660/7=94
660/28=23
so ans is 660-165-94+23=424
how many burgers are made with all the three fillings chicken,vegetable and mushroom ?
a)23 b)24 c)25 d)26
ans is 660/28=23
1)rohit drew a rectangular grid of 529 cells ,arranged in 23 rows and 23 columns and filled each cell with a number.The numbers with which he filled each cell were such that the numbers of each row taken from left to right formed an arithmetic series and the numbers of each column taken from top to bottom formed an arithmetic series.The seventh and the seventeeth numbers of the fifth row were 47 and 63 respectively while the seventh and seventeenth numbers of the fifteenth row were 53 and 77 respectively.What is the sum of all the numbers in the grid ?
a)32798 b)65596 c)52900 d) none of these
2)At burger king - a famous fast food centre on main street in pune,burgers are made only on an automatic burger making machine.The machine continuously makes different sorts of burgers by ading different sorts of fillings on a common bread.The machine makes the burgers at the rate of 1 burger per half a minute.The various fillings are added to the burgers in the following manner.The 1 st,5 th,9 th.... burgers are filled with a chicken patty;the 2nd, 9th,16th ....burgers with vegetable patty;the 1st,5th,9th .....burgers with mushroom patty and the rest with plain cheese and tomato fillings.
the machine makes exactly 660 burgers per day
How many burgers per day are made with the cheese and the tomato as fillings ?
a)424 b)236 c) 237 d) none of these
how many burgers are made with all the three fillings chicken,vegetable and mushroom ?
a)23 b)24 c)25 d)26
3) product of the fourth and the fifth term of an AP is 456.Division of the 9 th term by the 4 th term of the progression gives quotient as 11 and the remainder as 10.Find the first term of the progression .
a)-52 b) -42 c)-56 d)-66 e) -50
4) sum to n terms of the series log m + log m^2/n + log m^3/n^2 + log m^4/n^3 ... is
5) one side of the staircase is to be closed in by rectangular planks from the floor to each step.The wudth of each palnk is 9 inches and their height are successively 6 inches,12 inches,8 inches and so on... There are 24 planks required in total.FInd the area in square feet.
a)112.5 b) 107 c)118.5 d) 105
6) the sum of the squares of the 5 th and the 11 th term of an AP is 3 and the product of the second and the fourteenth term is equal to P.Find the product of the 1 st and 15 th term of the AP
a) (58P - 39)/45 b) (98P + 39)/72 c) (116P - 39)/90 d) ( 98P + 39)/90
Dear Vrinda,
regarding how "Rohit" tries to baffle us...so according to that 7 and 17 are corresponding terms of this AP of 23 terms...the row 5 i mean...taking the first AP i.e the row 5....the mean of this AP is 55....that of the second ap i.e row 15 ...is 65..one thing is clear...the AP means right from the first to the last row run as 51 is the mean of the AP for the first row...52 for the second AP alias second row....so on till the 23 row whose mean is 73.......now you just have to do the following-
(51+52+53........+73)*23=32798
Please solve this question on probability.
There are 5 floors and 4 lifts.What is the probability that there is atleast 1 lift in the 5th floor?..it is simple one but i m not getting it 
Every lift can be on one of the five floors.So, for 4 lifts total no of possibilities = 5*5*5*5 = 625
Possibility of not finding lift at fifth floor = 4*4*4*4 = 256
Required probability = (625-256)/625 = 369/625
3) product of the fourth and the fifth term of an AP is 456.Division of the 9 th term by the 4 th term of the progression gives quotient as 11 and the remainder as 10.Find the first term of the progression .
a)-52 b) -42 c)-56 d)-66 e) -50
4) sum to n terms of the series log m + log m^2/n + log m^3/n^2 + log m^4/n^3 ... is
remaining questions
3)let 4th term be x
x(x+d)=456
x+5d=11x+10
d=2x+2
x(3x+2)=456
3x^2+2x-456=0
(x+38/3)(x-12)=0
x=-38/3 OR x=12
d=-70/3 OR d=26
a=x-3d=172/3 or -66.
option (D)
4)log m+2log m-log n+3log m-2log n+4log m-3log n.......
let log m=x;log n=y
x+2x-y+3x-2y+4x-3y........
(x+2x+3x+4x....)-(y+2y+3y+....)
x(1+2+3+...+n)-y(1+2+3+...(n-1))
nx(n+1)/2-ny(n-1)/2
Can someone help me in solving this.
Two Boxes A and B were filled with a mixture of rice and Dal - in A ratio of 5:3 and in B in the ratio of 7:3.What quantity must be taken from the first to form a mixture that shall contain 6kg of rice and 3kg of dal?
TIA
Can someone help me in solving this.
Two Boxes A and B were filled with a mixture of rice and Dal - in A ratio of 5:3 and in B in the ratio of 7:3.What quantity must be taken from the first to form a mixture that shall contain 6kg of rice and 3kg of dal?
TIA
Let 8xkg of A
Let 10y kg of B.=>5x+7y=6 and 3x+3y=3=>x+y=1=>7x+7y=7
Solving abov for x we get,
2x=1=>x=.5
Hence 8(.5)=4 kg of first should br taken.
Hope this solves for you.
hi can some one solve these from number systems(making annoying mistakes)!
1.find the 28383rd term od the series 123456789101112......
2.ifu form a subset of integers chosen from between 1 to 3000,such that no 2 integers add up to a multiple of 9, what can be the max no f elements in the subset?
hi can some one solve these from number systems(making annoying mistakes)!
1.find the 28383rd term od the series 123456789101112......
2.ifu form a subset of integers chosen from between 1 to 3000,such that no 2 integers add up to a multiple of 9, what can be the max no f elements in the subset?
Sol1:
Total numbers till fourth digit.9+90+900+9000=9999
SO we need to find 18384th 5 digit term.
18380/5=3676.SO number is 13677.So 7 is the 28383rd term .
Sol2:
let 1,2,3,4,9,10,11,.....................,3000.
So there are 2994 elements posiible(max).
@shakti...the answes are 1.)9
2.)1333(as per arun sharma) :)
and ref. your sol1... dont u think it shud be 9, 180,2700,36000 terms(1 digit,2 digit,3digit) so as per me i was thinking the 28383rd term shud b some where in the 4 digit no's
>>>>>>>>>>>>
hi can some one solve these from number systems(making annoying mistakes)!
1.find the 28383rd term od the series 123456789101112......
2.ifu form a subset of integers chosen from between 1 to 3000,such that no 2 integers add up to a multiple of 9, what can be the max no f elements in the subset?
First
28383 Term
As 9+ 90*2 +900*3 = 2889
we need to calculate 28383 term
so 28383-2889= 25494 terms left
now no suppose to count 1000 on wards
so 25494/4 = 6373 , 2 remainder
so we need to count uptill 6372 and 63 also
So 3 will be the answer
First
28383 Term
As 9+ 90*2 +900*3 = 2889
we need to calculate 28383 term
so 28383-2889= 25494 terms left
now no suppose to count 1000 on wards
so 25494/4 = 6373 , 2 remainder
so we need to count uptill 6372 and 63 also
So 3 will be the answer
yep u r correct
1-9 total 9 number =9*1=9
10-99 total 90number=90*2=180
100-999 total 900 number=900*3=2700
now 9+180+2700= 2889
28383-2889=25494
so 25494/4=6373.25
so from 1 to 7372 total digit=28381
so 28383th digit=3
means 123456............737273