Ambar and Pranav attempted all questions of a 10 question test. While Ambar got exactly two questions wrong, Pranav got exactly three questions wrong. Find the number of ways in which they could have answered the test, if only one question they got wrong was the same.
Given X=2^17 * 3^7 * 5^6 * 7^8. How many factors of X are of the form 4k^2 where k is a positive integer? (AIMCAT question)
If your answer is 640, can you please explain why you're not counting 4 * 1^2 as one of the factors of the required form.
Geometry tricks link.Anyone??
in how many ways can 5 numbers be selected out of 30 natural numbers so that their product ends with 5?
A. 18c5-12c5 C. 12c5-9c5
b.15c5-12c5
A certain number written in certain base is 144, which of the following is always true?
1. square root of the number written in the same base is 12.
2. if base is increased by 2, the number becomes 100.
- both 1 and 2
- neither 1 nor 2
- only2
- only 1
0 voters
Letters of the word "ATTRACT" are written on cards and are kept on a table. Manish is asked to lift three cards at a time, write all possible combinations of the three letters on a piece of paper and then replace the three cards. The exercise ends when all possible combinations of letters are exhausted. Then, he is asked to strike out all words in his list, which look the same when seen in a mirror. How many words is he left with?
Letters of the word “ATTRACT” are written on cards and are kept on a table. Manish is asked to lift three cards at a time, write all possible combinations of the three letters on a piece of paper and then replace the three cards. The exercise ends when all possible combinations of letters are exhausted. Then, he is asked to strike out all words in his list, which look the same when seen in a mirror. How many words is he left with?
Please explain the answer as well.
- 30
- 40
- none of these
- 20
0 voters
Any direct formula for interchanging of minute hand and hour hand?
Anand sold his motorcycle to Sanjay at 15% loss and again bought it from him. If Sanjay had a profit of 15% and the original cost of motorcycle was Rs.45000, what was the loss incurred by Anand?
A. 12487
B. 6750
C. 1012
D. 13500
Two persons Alex and Mac played a game of coins. In the game, a player can pick 1, 2 or 3 coins in his turn. If a person is left with 3 coins, he can choose to pick either 1, 2 or 3 coins and if a person is left with 2 coins, he can choose to pick either 1 or 2 coins. But if a person is left with only one coin, he will have to pick that coin. Assume that both the players play intelligently. Q.60
If Mac started the game and he lost the game, then which of the following statement(s) is/are true?
(i) Total number of coins was 44 and the person who picked the last coin won the game.
(ii) There were 53 coins and the person who picked the last coin lost the game.
(iii) Total number of coins was 17 and the person who picked the last coin won the game.
Puys iska concept plz......
If E = 3 + 8 + 15 + 24 + .... + 195, then what is the sum of the prime factors of E?
Is there any formula for Tn for series which have 2nd difference as constant.
Don't want to waste time in deriving Tn (using ax2+bx+c).
From QUANTUM CAT
pg156
chapter: average
question no 20 (Taj mahal and tourist) in the solution it is
(7-n)x56 =280... why is it 280 ????
In this qn in simcat 13, we can take TR as x, make two eqns :-
8(8+x) = qr^2 and 10^2+ qr^2 = (8+x)^2 to get the value of tr as 4.5. After that to find RS, according to the solution, we can't take triangle PQR as similar to triangle TSR. (perhaps bcoz TSR is not 90 degrees,even though it seems like 90). Is that so?
a point P is located inside a square ABCD such that PA=10,PB=6 AND PC=14, find the area of the square.
A bike running at 80 km/h initially is slowed down to 60 km/h as soon as the fuel indicator touches the half level mark. It keeps running at this speed till it runs out of fuel, thereby covering a total distance of 640 km in 10 hours. If the bike consumes 2 litres of fuel per hour, what is the capacity (in litres) of the fuel tank of the bike?
two spherical balls lie on the ground touching. The radius of one ball is 12 ft and the point of contact is 15ft above the ground. Determine the radius of the other ball
If f(x) = min (3x - 1, x - 2), find the maximum value of f(x).
Two persons Alex and Mac played a game of coins. In the game, a player can pick 1, 2 or 3 coins in his turn. If a person is left with 3 coins, he can choose to pick either 1, 2 or 3 coins and if a person is left with 2 coins, he can choose to pick either 1 or 2 coins. But if a person is left with only one coin, he will have to pick that coin. Assume that both the players play intelligently.
Q.61
The option of picking 2 coins could not be exercised and the person who picked the last coin loses the game. If Alex started the game and won it, then which of the following could not be the number of total number of coins at the beginning of the game?
20
30
25
48
Two persons Alex and Mac played a game of coins. In the game, a player can pick 1, 2 or 3 coins in his turn. If a person is left with 3 coins, he can choose to pick either 1, 2 or 3 coins and if a person is left with 2 coins, he can choose to pick either 1 or 2 coins. But if a person is left with only one coin, he will have to pick that coin. Assume that both the players play intelligently.
Q.62
If the total number of coins was 47 and the person who picked the last coin won the game, then how many coins should Alex, who started the game, have picked in his first turn to ensure a win for him?