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IPMAT indore 2023 Complete Paper Solution
Question 1.
Being deprived of sleep can result in
Being deprived of sleep can result in
Question 2.
In a chess tournament, there are four groups, each containing an equal number of players. Each player plays
- against every other player belonging to one's own group exactly once;
- against each player belonging to one of the remaining three groups exactly twice;
- against each player belonging to one of the remaining two groups exactly three times; and
- against each player belonging to the remaining group exactly four times.
If there are more than 1000 matches being played in the tournament, the minimum possible number of players in each group is .
In a chess tournament, there are four groups, each containing an equal number of players. Each player plays
- against every other player belonging to one's own group exactly once;
- against each player belonging to one of the remaining three groups exactly twice;
- against each player belonging to one of the remaining two groups exactly three times; and
- against each player belonging to the remaining group exactly four times.
If there are more than 1000 matches being played in the tournament, the minimum possible number of players in each group is .
Question 3.
In a triangle ABC, let D be the mid-point of BC, and AM be the altitude on BC. If the lengths of AB, BC and CA arc in the ratio of 2:4:3, then the ratio of the lengths of BM and AD would be
In a triangle ABC, let D be the mid-point of BC, and AM be the altitude on BC. If the lengths of AB, BC and CA arc in the ratio of 2:4:3, then the ratio of the lengths of BM and AD would be
Question 4.
The remainder when 1! + 2! + 3! +.... + 95! is divided by 15 is.
The remainder when 1! + 2! + 3! +.... + 95! is divided by 15 is.
Question 5.
As per the passage which of these sentences is not correct?
As per the passage which of these sentences is not correct?
Question 6.
Let a, b, c be real numbers greater than 1. and n be a positive real number not equal to I. If logn(log2 a) = 1, logn(log2b) = 2 and logn(log2c) = 3. then which of the following is true?
Let a, b, c be real numbers greater than 1. and n be a positive real number not equal to I. If logn(log2 a) = 1, logn(log2b) = 2 and logn(log2c) = 3. then which of the following is true?
Question 7.
In what way does sleep contribute to a person’s well-being?
In what way does sleep contribute to a person’s well-being?
Question 8.
Let a1,a2,a3 be three distinct real numbers in geometric progression. If the equation a1x2 + 2a2x + a3 = 0 and b1x2 + 2b2x + b3 = 0 have a common root, then which of the following is necessarily true?
Let a1,a2,a3 be three distinct real numbers in geometric progression. If the equation a1x2 + 2a2x + a3 = 0 and b1x2 + 2b2x + b3 = 0 have a common root, then which of the following is necessarily true?
Question 9.
Amisha can complete a particular task In twenty days. After working for four days she fell sick for four days and resumed the work on the ninth day but with half of her original work rate. She completed the task in another twelve days with the help of a co-worker who joined her from the ninth day. The number of days required for the co-worker to complete the task alone would be.
Amisha can complete a particular task In twenty days. After working for four days she fell sick for four days and resumed the work on the ninth day but with half of her original work rate. She completed the task in another twelve days with the help of a co-worker who joined her from the ninth day. The number of days required for the co-worker to complete the task alone would be.
Question 10.
The length of the line segment joining the two intersection points of the curves y = 4970 - lxl and y = x2 is
The length of the line segment joining the two intersection points of the curves y = 4970 - lxl and y = x2 is
