Hi Ashish,
For the 2nd Problem in the attached Doc.
Considering the 2 statements
i) if a is in S, then -a is in S,
ii) if each of a and b is in S, then ab is in S.
Since 1 is in S. -1 will be in S (From i)
Since 2 is in S -2 will be in S (From ii)
Since 1 and 2 are in S then 2 is in S ( From ii)
Since -1 and 2 are in S then -2 is in S ( From ii)
Finally since -2 and 2 are in S ...-4 will be in S
I guess both the statements are required
Correct me if i was wrong.....
Hi Ashish,
For the 2nd Problem in the attached Doc.
Considering the 2 statements
i) if a is in S, then a is in S,
ii) if each of a and b is in S, then ab is in S.
Since 1 is in S. -1 will is in S (From i)
Since 2 is in S -2 will be in S (From ii)
Since 1 and 2 are in S then 2 is in S ( From ii)
Since -1 and 2 are in S then -2 is in S ( From ii)
Finally since -2 and 2 are in S ...-4 will be in S
I guess both the statements are required
Correct me if i was wrong.....
But OA is B
Hi Ashish,
For the 2nd Problem in the attached Doc.
Considering the 2 statements
i) if a is in S, then a is in S,
ii) if each of a and b is in S, then ab is in S.
Since 1 is in S. -1 will be in S (From i)
Since 2 is in S -2 will be in S (From ii)
Since 1 and 2 are in S then 2 is in S ( From ii)
Since -1 and 2 are in S then -2 is in S ( From ii)
Finally since -2 and 2 are in S ...-4 will be in S
I guess both the statements are required
Correct me if i was wrong.....
as i belive to get -4 we do not require first statement as if we go per second statement which says 2 is in s
=> s={2}.
and now as per first given statement
s should also have -2
s={2,-2}
and as per second given statement
s should contain ab as well
=> s ={2,-2,-4}
so by using second statement only we can find the solution
What you said is True Inder...I dont think 1st statement is required...
Is x - y > r - s?
(1) x > r and y s
(2) y = 2, s = 3, r = 5, and x = 6
OA is (D)...
In Statement (1), don't we need to know whether x, y, r & s are +ve or -ve before we conclude x-y > r-s ?
Kindly clarify. Thanks a lot!
(1) x > r and y s
(2) y = 2, s = 3, r = 5, and x = 6
OA is (D)...
In Statement (1), don't we need to know whether x, y, r & s are +ve or -ve before we conclude x-y > r-s ?
Kindly clarify. Thanks a lot!
Is x y > r s?
(1) x > r and y s
(2) y = 2, s = 3, r = 5, and x = 6
both the statements are alone sufficient to answer
(1) x > r and y s
(2) y = 2, s = 3, r = 5, and x = 6
both the statements are alone sufficient to answer
The points A, B, C and D are on the number line but not necessarily in that order. Distance between A and B is 18, distance between C and D is 8, what is the distance between B and D ?
a) Distance between C and A is same as Distance between C and B
b) A is to the left on the number line.
i guess only statement one sufficient to ans
The points A, B, C and D are on the number line but not necessarily in that order. Distance between A and B is 18, distance between C and D is 8, what is the distance between B and D ?
a) Distance between C and A is same as Distance between C and B
b) A is to the left on the number line.
i guess only statement one sufficient to ans
First of all statement 2 is vague: left to what??
next: stmt a says that c is in between a and b that is all. so a can be either to left or to right of c. so distance between b and d cannot be determined.
if we take stmt 2 as A is to the left most then the distance between b and d can be determined.
Si I guess the answer would be option C.
The points A, B, C and D are on the number line but not necessarily in that order. Distance between A and B is 18, distance between C and D is 8, what is the distance between B and D ?
a) Distance between C and A is same as Distance between C and B
b) A is to the left on the number line.
i guess only statement one sufficient to ans
Ans. E - None of the statements are sufficient even if taken together.
Stmt 1 : If C lies equidistant from A and B => C lies at the center => distance of 9 from A and 9 from B. D can lie either towards A or towards B. So this one is not sufficient
Stmt 2 : Position of A is not sufficient to answer
Even if we combine both we are not able to answer...
Hi..
For Q 18 in the attachment, the OA is "B".
When we are told that in a triangle the altitude also serves as a median, can't the triangle also be equilateral? How can we conclude that it is isosceles?
Apologies if this is a fundamental doubt.. kindly clarify! Thanks a lot!
ashishjha100 SaysPls help........
Hi..
For Q 18 in the attachment, the OA is "B".
When we are told that in a triangle the altitude also serves as a median, can't the triangle also be equilateral? How can we conclude that it is isosceles?
Apologies if this is a fundamental doubt.. kindly clarify! Thanks a lot!
Lets consider a triangle ABC ... If the Median from A is perpendicular to BC at D...take 2 triangles ABD and ACD...halves of angle A are equal...90 degrees at D are equal...so B and C are equal...Triangle is isosceles...doesnt matter what A is...
1.What was Bill's average (arithmetic mean) grade for all of his courses?
(1) His grade in social studies was 75, and his grade in science was 75.
(2) His grade in mathematics was 95.
OA is E.....i think C
2.If represents a digit in the 7-digit number 3, 62, 215, what is the value of ?
(1) The sum of the 7 digits is equal to 4 times an integer.
(2) The missing digit is different from any of the other digits in the number.
OA is C
3.Is quadrilateral RSTV a rectangle?
(1) The measure of RST is 90o
(2) The measure of TVR is 90o
OA is E
Pls help with reasoning.......
Hi Asish,
For 2nd Question
----------------------
If represents a digit in the 7-digit number 3, 62, 215, what is the value of
Sum of the digits = 3+6+2++2+1+5 = 19+
From (1)
19+ = 4(An Integer)
here can be 1, 5 or 9 ...
If we consider (2) ..i.e .....missing digit is different from any of the other digits in the number.
Since 1 and 5 are already present in number...so 9 will be the value of
So C is the answer .....
For the first question....
---------------------------------------
"Bill's average (arithmetic mean) grade for all of his courses".......
They did'nt mention that Courses only include social, Maths and Science...It can have other courses too... 😃
For 2nd Question
----------------------
If represents a digit in the 7-digit number 3, 62, 215, what is the value of
Sum of the digits = 3+6+2++2+1+5 = 19+
From (1)
19+ = 4(An Integer)
here can be 1, 5 or 9 ...
If we consider (2) ..i.e .....missing digit is different from any of the other digits in the number.
Since 1 and 5 are already present in number...so 9 will be the value of
So C is the answer .....
For the first question....
---------------------------------------
"Bill's average (arithmetic mean) grade for all of his courses".......
They did'nt mention that Courses only include social, Maths and Science...It can have other courses too... 😃
1.What was Bill's average (arithmetic mean) grade for all of his courses?
(1) His grade in social studies was 75, and his grade in science was 75.
(2) His grade in mathematics was 95.
OA is E.....i think C
2.If represents a digit in the 7-digit number 3, 62, 215, what is the value of ?
(1) The sum of the 7 digits is equal to 4 times an integer.
(2) The missing digit is different from any of the other digits in the number.
OA is C
3.Is quadrilateral RSTV a rectangle?
(1) The measure of RST is 90o
(2) The measure of TVR is 90o
OA is E
Pls help with reasoning.......
For first question...do you know how many subjects are there in total 😃 this answers "why E"
For third : The quad can be a square as well...
Hi Asish,
For 2nd Question
----------------------
If represents a digit in the 7-digit number 3, 62, 215, what is the value of
Sum of the digits = 3+6+2++2+1+5 = 19+
From (1)
19+ = 4()
here can be 1, 5 or 9 ...
If we consider (2) ..i.e .....missing digit is different from any of the other digits in the number.
Since 1 and 5 are already present in number...so 9 will be the value of
So C is the answer .....
For the first question....
---------------------------------------
"Bill's average (arithmetic mean) grade for all of his courses".......
They did'nt mention that Courses only include social, Maths and Science...It can have other courses too... 😃
Could u pls explain how u come to 1,5 or 9 .........i didint understand
The sum of the 7 digits is equal to 4 times an integer.(why other integers tha 1,5,9?)
Hi Ashish,
Sum of the all the 7 digits is 19+x = 4(Some integer)
The digits already present in the number are 1,2,3,5,6......From 3, 62, 215
this leaves the digits 0,4,7,8 and 9 remaining for the value x....
if 19+x needs to be a multiple of 4 ..From the digits remaining......x should be 9...
since 19+9 ...28....is divisible by 4
I hope u got the explanation....
Pls help with reasoning.......
1.What was Bills average (arithmetic mean) grade for all of his courses?
(1) His grade in social studies was 75, and his grade in science was 75.
(2) His grade in mathematics was 95.
OA is E.....i think C
U dunoo if these are the only subjects.. so E is correct.
2.If represents a digit in the 7-digit number 3, 62, 215, what is the value of ?
(1) The sum of the 7 digits is equal to 4 times an integer.
(2) The missing digit is different from any of the other digits in the number.
OA is C
sum of the digits = 19. From 1, can be 1, 5, and 9.
from 2, can be 4,7,8,9 and 0.
From 1 and 2, can be only 9, so ans is C.
3.Is quadrilateral RSTV a rectangle?
(1) The measure of RST is 90o
(2) The measure of TVR is 90o
OA is E
Well only opposite angles are 90, we cannot say if other 2 angles are also 90 deg each. So answer is E.
1.What is the rate, in cubic feet per minute, at which water is flowing into a certain rectangular tank?
(1) The height of the water in the tank is increasing at the rate of 2 feet per minute.
(2) The capacity of the tank is 216 cubic feet.
OA E
2. If x and y are positive integers and x is a multiple of y, is y = 2?
(1) y 1
(2) x + 2 is a multiple of y.
OA C
3.Pam and Ed are in a line to purchase tickets. How many people are in the line?
(1) There are 20 people behind Pam and 20 people in front of Ed.
(2) There are 5 people between Pam and Ed.
OA
pls help with reasoning.......
1.What is the rate, in cubic feet per minute, at which water is flowing into a certain rectangular tank?
(1) The height of the water in the tank is increasing at the rate of 2 feet per minute.
(2) The capacity of the tank is 216 cubic feet.
OA E
2. If x and y are positive integers and x is a multiple of y, is y = 2?
(1) y 1
(2) x + 2 is a multiple of y.
OA C
3.Pam and Ed are in a line to purchase tickets. How many people are in the line?
(1) There are 20 people behind Pam and 20 people in front of Ed.
(2) There are 5 people between Pam and Ed.
OA
pls help with reasoning.......
1. a) Height increases by 2 but we dont know the length and breadth
b) Capacity doesn't tell us rate at which water is flowing.
Even combining both a and b doesnt help ... ans....E
2. a) y can be any positive integer
b) y can be either 1 or 2
Combining a and b...y=2...ans...C
3. a) 20people...Ed...Pam....20 people
or Pam ...19 people ... Ed .... doesnt tell us how many are there in the queue
b) Pam....5people...Ed ... again not sure where the 20 people are
Even if we combine both a and b we are not sure on the positions of Pam and Ed...hence...ans...E
Hi Vicky,
Can u pls explain in detail..b) option..arriving at 1 or 2..
2. a) y can be any positive integer
b) y can be either 1 or 2
Combining a and b...y=2...ans...C
Cheers.
1. a) Height increases by 2 but we dont know the length and breadth
b) Capacity doesn't tell us rate at which water is flowing.
Even combining both a and b doesnt help ... ans....E
2. a) y can be any positive integer
b) y can be either 1 or 2
Combining a and b...y=2...ans...C
3. a) 20people...Ed...Pam....20 people
or Pam ...19 people ... Ed .... doesnt tell us how many are there in the queue
b) Pam....5people...Ed ... again not sure where the 20 people are
Even if we combine both a and b we are not sure on the positions of Pam and Ed...hence...ans...E