A merchant mixes three varieties of rice costing Rs.20/kg, Rs.24/kg and Rs.30/kg and sells the mixture at a profit of 20% at Rs.30 / kg. How many kgs of the second variety will be in the mixture if 2 kgs of the third variety is there in the mixture?
A.
1 kg
B.
5 kgs
C.
3 kgs
D.
6 kgs
There are 10 seats around a circular table. If 8 men and 2 women have to seated around a circular table, such that no two women have to be separated by at least one man. If P and Q denote the respective number of ways of seating these people around a table when seats are numbered and unnumbered, then P : Q equals
A.
9 : 1
B.
72 : 1
C.
10 : 1
D.
8 : 1
Find the sun of the digits of the least natural number P, such that the sum of the cubes of the four smallest distinct divisors of P equals 2P.
A.
7
B.
8
C.
9
D.
10
There are 12 pipes that are connected to a tank. Some of them are fill pipes and the others are drain pipes. Each of the fill pipes can fill the tank in 8 hours and each of the drain pipes can drain the tank completely in 6 hours. If all the fill pipes and drain pipes are kept open, an empty tank gets filled in 24 hours. How many of the 12 pipes are fill pipes?
a:6 b:8 c:7 d:5
Marie is getting married tomorrow, at an outdoor ceremony in the desert. In recent years, it has rained only 5 days each year. Unfortunately, the weatherman has predicted rain for tomorrow. When it actually rains, the weatherman correctly forecasts rain 90% of the time. When it doesn't rain, he incorrectly forecasts rain 10% of the time. What is the probability that it will rain on the day of Marie's wedding?
a)0.567
b)0.111
c)0.332
d)0.732
Sum of digits of a 5 digit number is 41. Find the probability that such a number is divisible by 11?
a)2/15
b)11/36
c)3/35
d)6/35
A bag contains 10 balls numbered from 0 to 9. the balls are such that the person picking a ball out of the bag is equally likely to pick anyone of them. A person picked a ball and replaced it in the bag after noting its number. He repeated this process 2 more times. What is the probability that the ball picked first is numbered higher than the ball picked second and the ball picked second is numbered higher than the ball picked third?
72/100
3/25
4/5
1/6
PFA. (most of u must have done/seen this 1.. please help )
A shop sells two kinds of rolls- egg roll and mutton roll. Onion, tomato, carrot, chili sauce and tomato sauce are the additional ingredients. You can have any combination of additional ingredients, or have standard rolls without any additional ingredients subject to the following constraints:
(a) You can have tomato sauce if you have an egg roll, but not if you have a mutton roll. (b) If you have onion or tomato or both you can have chilli sauce, but not otherwise.
How many different rolls can be ordered according to these rules?
21
33
40
42
PS: top 3 ans gets a special prize !!!! 👼What is the probability that a five-card poker hand contains a straight, that is, five cards that have consecutive kinds? (Note that an ace can be considered either the lowest card of an A-2-3-4-5 straight or the highest card of a 10-J-Q-K-A straight.)
Suppose that 8% of the patients tested in a clinic are infected with swine flu.
Furthermore, suppose that when a test for swine flu is given, 98% of the patients infected with swine flu test positive and the 3% of the patients not infected with swine flu test positive.
Probability that a patient testing positive for swine flu with this test is infected with it is?
Just a question:
how many ways a 2*1 Rectangular domino can be selected from a chess board??
Approach pls. @sagarcat @cristianokaka @Smoke.7ore @ankur14
A customer asks for the production of 'x' number of goods. The company produces 'y' number of goods daily out of each 'z%' are unfit for sale. the order will be completed in :
An ant starts from a vertex of an equilateral triangle. On each move, it randomly selects one of the two vertices where it is not currently located, and crawls along a side of the triangle to that vertex. Find the probability that ant moves to the starting vertex on its tenth move.
0 voters
Consider a rectangular grid of size m x n. how many paths drawn along the grid are there from the top left corner to the bottom right corner where only downward and rightward movements are allowed
Irrelevant question but need the answer -- WHAT RULE ARE YOU PEOPLE FOLLOWING FOR CGPA TO PERCENTAGE CONVERSION (SPECIALLY IN THE CASE OF WBUT/UTECH)
can anyone mail me TSD by Totalgadha? leo.jazzy@gmail.com
Irrelevant question but need the answer -- WHAT RULE ARE YOU PEOPLE FOLLOWING FOR CGPA TO PERCENTAGE CONVERSION (SPECIALLY IN THE CASE OF WBUT/UTECH)
Can anyone provide me link for any basic 10th or +2 Maths book with covers Inequality, Max minima. Not getting any free PDF link. Please help like RS Agarwal or RD Sharma. Incase anyone has can they email me the soft copy.
Suppose x is in the interval [0, pie/2 ] and log 24 cos x = 3/2
The base of the log is 24 sin x .
Find 24* cot^2 x
Options
A. 384
B. 192
C. 96
D. 48