In an acute triangle, the angles are all positive integers, when measured in degrees 13 times one of the angles is equal to 17 times another. What is the least possible angle in the triangle
- 30 degrees
- 25 degrees
- 52 degrees
- 40 degrees
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What is always true about the coefficient of x^k in the expansion of (a+bx+cx^2+dx^3)^n?
- Sum of powers of a,b,c in the term containing x^k is equal to (n - power of d in the term containing x^k)
- Sum of powers of b,c and d in the term containing x^k is equal to (n - k)
- Sum of powers of a,b,c and d in the term containing x^k is equal to (n + k)
- Sum of powers of a,b,c,d and x in the term containing x^k is equal to (n - k)
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In circuler arrangements left of a person 'B' means immediate left or left ?
guys is intermediate section< di >of time worth doing? or is it too easy ?
This CL question is based on Armstrong numbers, for someone new to this, what would be the approach or thought process to tackle such questions.
Would appriciate if somebody can help out here.
Thanks!
For the equation x^4−x^3−4x^2−4x+16x^4−x^3−4x^2−4x+16, which of the following is true?
1) One root is less than -4
2) One root lies between -4 and -2
3) One root lies between -2 and 0
- None of these
- II and III
- I and II
- Only I
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7,28,70,140,?
Approach?
if i buy CL mock series now..a mini pack or something n appear fr already conducted mocks. Wil i get percentile scores??
In a class there are 23 children. Each child was asked to fill in a feedback form, where they were asked to assign different ranks to 4 teachers P, Q,R and S .Each rank was equivalent to certain number of points.
Rank 1 - 5points , Rank 2 - 4 points, Rank 3 - 3 points, Rank 4- 2 points
No two children assigned the same combination of ranks to the teachers. In the survey, P recieved the highest points while R recieved the least points. What is the sum of points recieved by P and R?
x+y+z=30 , x < y < z. What is the no. of solutions?
My solution involves too many cases. Can someone please help?
A fruit dealer fixes selling price of watermelon juice in such a way that he ends up earning a profit of 30% after paying tax, which is 13% of the cost price. A shopkeeper buys watermelon juice from the dealer and marks up the price by 15% and then adds 25% water to the juice. He then gives a discount of 4% on juice to his customers and thereby sells juice at Rs. 98.67 per litre. What is the cost price per litre of the watermelon juice for the fruit dealer?
##last step ##
Find the product of all the odd natural numbers less than 5000.
There is a nine sided regular polygon A1A2A3A4A5A6A7A8A9. Find the number of distinct equilateral triangles which can be formed in the plane of polygon, where atleast two vertices are from the set { A1, A2,A3...A9}.
Please explain...
A set of 125 small 1×1×1 cubes are arranged to form a 5×5×5 cube. How many cubes (including the original) can be formed with vertices chosen from these points such that their faces are parallel to those of the original cube?
In a factory there are equal number of children and women.w omen work for 6hrs a day and children for 4 hrs a day.during festival work load goes up by 50℅.the government doesn't allows children to work for more than 6 hrs a day..if there efficiencies are equal and extra work is done by women then how many extra hours of work are put by women every day...
If S1 = {1, 2, 3, 4, 5} and S2 = {1, 2, 3, 4, 5, 6, …, 100}, how many elements of S2 are divisible by exactly two distinct prime numbers that are elements of S1?
Sethi and Wilson play a snooker match consisting of nine games. The winner is decided by the method of 'Race to 5', i.e., the first person to win five games is declared the winner and the match ends the moment the winner is declared. In how many ways can the match conclude?