X is the smallest number which leaves a remainder of 1,1,3 when successively divided by 5,2,4. Y is the smallest number which leaves a remainder of 4,0,2 when divided successively by 5,2,4. What is the ratio of X:Y?
Hcf 19!+19 and 20!+19?
#easy
What is the sum of all even numbers of four digits which can be formed using the digits 1,2,3,4,5,6. a) repetitions not allowed b) repetitions of digits are allowed.
How many of the integers that satisfy the inequality ((x+2)(x+3)) / (x-2) >= 0 are less than 5?
.last two digits of 57^56^55^54^53....till 1
There are 10 pairs of shoes in a cupboard, if 4 shoes are picked at random, what is the probability that there is no correct pair? kindly provide full explaination
x^a + y^b + z^c = 2 is satisfied in three case
where, a, b, c, x, y and z are whole numbers, how many solutions does x + y + z ≤ 3 have? OA is 19.please explain
A
A man alone can complete a work in 20 days. On one occasion, he is helped on the first, second, third, fourth and fifth day of the work by five people(one on each day) who can complete the work when working alone in 'A', 'B', 'C', 'D' and 'E' days respectively.
'A', 'B', 'C', 'D' and 'E' are in harmonic progression. If the man is able to complete the work in 17 days because of the help of the five people, how long would he take to compete the work if he was helped throughout the work by the person who takes 'C' days to complete the whole work alone?
A)10 B) 11 C)12.5 D)13
Set S consists of numbers 2, 3, 6, 48, and 164. Number K is computed by multiplying one random number from set S by one of the first 10 non-negative integers, also selected at random. If Z=6^K, what is the probability that 678,463 is not a multiple of Z?
A. 10%
B. 25%
C. 50%
D. 90%
E. 100%
If N is the product of all multiples of 3 between 1 and 100, what is the greatest integer m for which N/10^m is an integer?
a. 3
b. 6
c. 7
d. 8
e. 10
Prove that every even power of every odd number is of form 8r+1...
Three professors namely, Dr Gupta, Dr. Sharma and Dr. Singh, are evaluating answer scripts of a subject. Dr.Gupta is 40% more efficient than Dr. Sharma who is 20% more efficient than Dr.Singh. Dr.Gupta takes 10 days less than Dr.Sharma to complete the evaluation work. Dr.Gupta starts the evaluation work and works for 10 days and then Dr.Sharma takes over and evaluates for the next 15 days and then stops. In how many days can Dr.Singh evaluate the remaining scripts?
A)7.2 days B)9.5 days C) 11.2 days D) 12 days
Sonal and Deepali started swimming towards each other simultaneously from points A and B respectively situated at two ends of a 96 km long stretch of a river. Destinations of Deepali and Sonal were points A and B respectively. Both of them could swim at 12 kmph in still water. When they started, it was high tide and Sonal swam against the stream. As soon as they met, the tide changed to 'low tide' and then Deepali faced the resistance of the stream. Deepali and Sonal took 7 hr 12 min and 8 hr 48 min to reach their destinations respectively. [Speed of the stream during high and low tide need not necessarily be the same.] "
Find the speed of the stream during low tide.
Find the smallest positive integer n for which (2^2-1)(3^2-1)(4^2-1).....(n^2-1) is a perfect square.
A triangle ABC has 2 points marked on side BC, 5 points marked on side CA and 3 points marked on side AB. None of these marked points is coincident with the vertices of the triangle ABC. All possible triangles are constructed taking any three of these points and the points A, B, C as the vertices. How many new triangles have at least one vertex common with the triangle ABC?
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hi everyone,
Does anyone know if discount is being offered to IIM call getters or high percentile, in CAT CareerLauncher test series?
http://www.pagalguy.com/discussions/official-lr-di-thread-for-cat-2015-32043805
Follow thread for discussion related to DI/LR
A 100-sided regular polygon has vertices A1, A2, and so on. Find the measure of angle A1A56A11.?