Qus 24. Please provide a detailed answer. Soon..
How many pairs of (x,y) with both x and y having integer values satisfy the inequality |2x+3y| + |2x-3y|<12?
A green colour cube is cut into smaller and identical cubes with 6 cuts. The cube is cut with a knife which applies red colour to the surfaces of the cubes while cutting. The smaller cubes are further cut with 6 cuts into smaller and identical cubes, with a knife which does not apply any colour to the surface. The questions are based on the cubes obtained after these cuts.
Question:
1. How many smaller cubes have three faces coloured red?
2. How many smaller cubes have two faces coloured green and one face coloured red?
There are four categories of people on True Lies island, namely Trues, who always speak the truth; Liars, who always lie; Altrues, whose first statement is true and make alternate true and false statements and Allies, whose first statement is false and make alternate false and true statements.
A person from True Villa who visited the True Lies island has to make a telephone call to True Villa.He comes across a group of four people, where each member of the group belongs to a different category as mentioned above and asks them about availability of telephone with them. Each person has a badge attached to his shirt with a category name to which he does not belong. The following are the statements made by each of them. The category on their badges is given in brackets.
P (Trues) :
I. Allies have telephones.
II. I have a telephone.
Q (Liars) :
I. I belong to Trues.
II. I do not have a telephone.
R (Altrues) :
I. I do not have a telephone.
II. Only one of us has a telephone.
S (Allies) :
I. The Liars have telephones.
II. I belong to Altrues.
In any category, either each member has a telephone or none has a telephone.
Question:
Who belongs to the Trues category?
Options:
1.P 2.Q 3.R 4.S
Ram and Gopi run towards each other starting from K and L respectively with respective speeds of 2 kmph and 3 kmph. After meeting each other, to reach L, if Ram takes 7 hours less than the square of the magnitude of the time (in hours) taken by Gopi to reach K, find distance between K and L Please explain in easy way
Three friends Arun, Tarun and Varun run a race of 100 m. All of them run at constant speeds. Tarun beats Varun by 20 m and Varun beats Arun by 20 m. How many meters does Tarun beats Arun? (in numerical value)
OA:36
Find the no. of real solutions of the equation : 2^3x + 3^3x = 64^x.
Find the number of Zeroes in 100^1* 99^2*98^3*97^4*96^5*---------1^100 ?
M and N are 2 points that are 8m a part.anand and ajay sarted simultaneously. anand moved towards N at 3m/sec.ajay moved towards M at 5m/sec.after reaching their destinations,both turned back at their original speeds towards their starting points.find the total distance (in m)that ajay would have travelled before crossing anand for the second time.
What is the number of distinct triangles with integral valued sides and perimeter as 14?
A number N can be expressed as 2^3m , where m is a natural number. The last two digits of N are 32. What is the unit digit of 7^m ?
A real number is increased by 10% and then decreased by 10%. This process is then repeated 99 times. What can be said about the new number?
- Less than 30% of original number
- Above 50% of the original number
- Between 45% and 50% of original number
- Between 30% and 45% of original number
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If x and y are positive integers satisfying 17x + 8y = 3051, what is the sum of the maximum and minimum difference between values of x and y?
ans:375
Q-13
In isosceles △ABC right-angled at B, DP and DQ are two perpendiculars dropped from a point D inside the triangle on the two sides AB and AC such that P and Q lie on AB and AC respectively. If AP=a cm, AQ=b cm and ∠BAD=150 then sin75 is,
ans is √3a/2b
method pls
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What's the formula
How many permutation can be formed arranging the word HARAPPA such that only two A are together ??