A square is inscribed in a quarter Circle in such a manner that two of its adjacent vertices lie on the two radii at an equal distance from the center, while the other two vertices lie on the circular arc. If the square has sides of length x, then the radius of the circle is in terms of side.

Question 1
A square is inscribed in a quarter Circle in such a manner that two of its adjacent vertices lie on the two radii at an equal distance from the center, while the other two vertices lie on the circular arc. If the square has sides of length x, then the radius of the circle is in terms of side.
Ans (root5/root2)x
Question 2
A square of area 160 sq. units  is inscribed in a quarter circle in such a manner that two of its adjacent vertices lie on the two radii at an equal distance from the center, while the other two vertices lie on the circular arc. Find the radius of circle. Ans 20

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Set tough question in easy way

Data on 450 candidates,who took an examination in social science,mathematics and science

Passed in all subjects 167
Failed in all subjects 60
Failed in social science 175
Failed in mathematics 199
Failed in science 191
Passed in social science only 62
Passed in mathematics only 48
Passed in science only 52

How many failed in social science only
How many failed in one subject only
How many passed in mathematics and at least one more subjects
How many failed in two subjects only
How many passed at least in one subject

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A and B together can do a peace of work in 12 days,which B and C together can do in 16 days.After A has been working at it for 5 Days and B for 7 Days,C finishes in 13 days.In how many days C alone will do the work?

Question
A and B together can do a peace of work in 12 days,which B and C together can do in 16 days.After A has been working at it for 5 Days and B for 7 Days,C finishes in 13 days.In how many days C alone will do the work?
ANS 24 DAYS

Question 2
P and Q together can do a job in 6 days. Q and R can do the same job in
60/7days. P started the work and worked for 3 days. Q and R continued for 6 days. Then the difference of days in which R and P can complete the job is?
ans 10 days

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Age tough question

Q1
Ten years ago, the ages of the members of a joint family of eight people added up to 231 years. Three years later, one member died at the age of 60 years and a child was born during the same year. After another three years, one more member died, again at 60, and a child was born during the same year. The current average age of this eight-member joint family is nearest to what ?

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CAT/SBI PO Time and Work Hard question cracked in simple logical way

1.
1 man and 3 women and 4 boys can do a piece of work in 96 hours, 2men and 8 boys can do it in 80 hours, 2men and 3 women can do it in 120 hours. 5men and 14 boys can do it in how many hours
ans 40 hours

2
1 man and  3 women and 4 boys can do a piece of work in 96 hours, 2men and 8 boys can do it in 80 hours, 2men and 3 women can do it in 120 hours. 5 men and 12 boys can do it in how many hours

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When there are two CPs and two SPs

1. A man sells an article at a profit of 14.28%. If he had bought it at 12.5% less and sold it for Rs 70 less, he would have gained (2+ 2/49) %. Find the Initial Selling price (in rupees) of the article. ans 320 2 A man sells an article at a profit of 25%. If he had bought it at 20% less and sold it for Rs 10.50 less, he would have gained 30%. Find the cost price (in rupees) of the article. 3 A man sells an article at 5% profit. If he had bought it at 5% less and sold if for Re. 1 less, he would have gained 10%. The cost price of the article is? 4 A man sells an article at a profit of 25%. If he had bought it at 20% less and sold it for Rs.1050 less, he would have gained 30%. find the cost price of the article? 5 A man sells a book at a profit of 20%.if he had bought it at 20% less and sold it for rs 18 less,he would have gained 25%.what is the cost price of the book

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CAT/SSC Famous Advanced Bouncing ball geometric sequence question

1.
A ball is dropped from a height of 45 feet. Every time rebounds 2/3 of the previous Height, Find the total vertical distance travelled by ball before coming to rest.

2.
When a ball falls vertically off a table, it rebounds 75% of its height after each bounce. If it travels a total distance of 490 cm, how high was the table top above the floor?

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