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

this question can be done by watching this video

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

Such questions can be done by watching this video trick click this

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 ?

Click this video to see how this can be done in mind.

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

such kind of questions can be tackled by this video trick

click this video.

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

These types of questions can be tackled by single video

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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?

For such kind of questions click below video trick

Find the least number which when divided by 35,45,55 leaves remainders 30,40,50.

1
Find the  least number which when divided by 35,45,55 leaves remainders 30,40,50.

2
Find the sum of digits of  least number which when divided by 35,45,55 leaves remainders 30,40,50.

3
Find the sum of digits of least number which when divided by 20,25,35,40 leaves remainders 14,19,29,34.

4
Find the  least number which when divided by 20,25,35,40 leaves remainders 14,19,29,34.


For such questions watch this below video

1 .One year ago, the ratio between A's and B's salary was 4:5. The ratio of their individual salaries of last year and present year are 3:5 and 2:3 respectively. If their total salaries for the present year is Rs 6800, the present salary of A is

2. the ratio of A's and B's income last year was 3:4 The ratio of their own incomes of last year and this year is 4:5 and 2:3 respectively.If the total sum of their present income is Rs 41600, then find present income of A.

3. The ratio of last  year income of A,B & C is 3:4:5. While the ratio of their last year income to current year income 4:5, 2:3 and 3:4.If their total current year Income is Rs 985000. Find the difference in present income of A and B.

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Average speed when distances are equal

A car travels at 60 mph on a trip and at 100 mph on return trip. What was its average speed for the entire trip? 
Solution: 

Total average speed = 2*60*100/(100+60) = 2*60*100/160 = 2*60*5/8 = 60*5/4 = 15*5 = 75 .

click below to see video trick when there are more than 2 equal distances.

1 Without stoppages a train travels a certain distance with an average speed of 50 kmph and with stoppages it covers the same distance with an average speed of 40 kmph. What is the time in minutes per hour for which train stops?

Without stoppages a train travels a certain distance with an average speed of 50 kmph and with stoppages it covers the same distance with an average speed of 40 kmph. What is the time in minutes per hour for which train stops?


For video solution of this question click below video

Boat very good question with a special way

P, Q, R are three towns on a river which flows uniformly. Q is equidistant from P and R. A man rows from P to Q and returns in 10 h. He can row from P to R in 4 h. The ratio of speed of the man in still water to the speed of the current is :
(a) 5 : 3
(b) 3 : 5
(c) 2 : 5
(d) 1 : 2
(e) None of these

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A does half as much work as B in three-fourth of the time. If together they take 18 days to complete the work, how much time shall B take to do it?

click below video for this important question

Limit/range based questions in permutation How many numbers greater than 999 but less than equal to 4000 is formed using the digits 0, 1,2, 3, 4 when (a) Repetition of digits allowed (b) Repetition of digits not allowed

How many numbers greater than equal to  200 but less than equal to  4000 is formed using the digits 0, 1,2, 3, 4 when
(a) Repetition of digits allowed
(b) Repetition of digits not allowed

Video solution

How many numbers greater than   999 but less than equal to  4000 is formed using the digits 0, 1,2, 3, 4 when
(a) Repetition of digits allowed
(b) Repetition of digits not allowed

A shopkeeper gives one kite free on sale of 19 kites if he double the discount, How many kites he will give on sale of 27 kites?

1 A shopkeeper gives one kite free on sale of 19 kites if he double the discount, How many kites he will give on sale of 27 kites?
Ans 3 kites

Video solution

question
A shopkeeper sells a badminton  racket , whose marked price is Rs. 30, at a discount of 15% and gives a shuttle cock costing Rs. 1.50 free  with each racket . Even hem he making a profit of 20% . His cost per racket is

1. On dividing 2272 as well as 875 by 3-digit number N, we get the same remainder. Find the sum of the digits of N?

1. On dividing 2272 as well as 875 by 3-digit number N, we get the same remainder. Find the sum of the digits of N?
Ans 10
2. On dividing 11284 as well as 7655 by 3-digit number N, we get the same remainder. Find the sum of the digits of N?
Ans 11


Video trick of such questions click below

Dishonest dealer/Dishonest shopkeeper/False weights/Cheating in weights Profit and loss questions

1.A dishonest dealer marks up the price of his goods by 20% and gives a discount of 10% to the customer. Besides, he also cheats both his supplier and his buyer by 100 grams while buying or selling 1 kilogram. Find the percentage profit earned by the shopkeeper?
Ans 32 percent

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some more questions for extra practice



2.
A dishonest dealer marks up the price of his goods by 60% and gives a discount of 25% to the customer. Besides, he also cheats both his supplier and his buyer by 100 grams while buying or selling 1 kilogram. Find the percentage profit earned by the shopkeeper?
Ans 46.66 percent


3

A dishonest shopkeeper professes to sell pulses at the cost price, but he uses a false weight of $950$ gm for a kg. his gain is ...%?
Ans 5.26 percent

4

A dishonest shopkeeper uses false balance and cheats a customer by giving 20% less quantity of food . His profit is 

Ans 25%

5

A shopkeeper professes to sell his goods at cost price but uses a weight of 800 gm instead of kilogram weight.Thus, he makes a profit of

Ans 25%

Train accident questionfor CAT/SSC CGL/ELITMUS

A train after travelling for 50 km meets with an accident and then proceeds at 3/4 of its former speed and arrives at its destination 35 minutes late. Had the accident occurred 24 km farther, it would have reached the destination only 25 minutes late.
(A) What is the speed of the train?

(B) Total Distance
 see this below video solution and trick

Other questions for practice

A train after traveling 150 km meets with an accident and then proceeds with 3/5 of its former speed and arrives its destination 8 hours late. Had the accident occurred 360 km further, it would have reached the destination 4 hours late. What is the total distance traveled by the train?
Ans normal speed 60 Km/hr distance ans 870 KM


A train met with an accident 120 km from station A. It completed the remaining journey at 5/6 of its previous speed and reached 2 hour late at station B. Had the accident taken place 300 km further, it would have been only 1 hour late. What is the speed of the train ?
ans 60 km/hr
A train met with an accident 60km away from station A. It completed the remaining journey at 5/6th of the original speed and reached station B 1hr 12mins late. Had the accident taken place 60km further, it would have been only 1hr late. what was the original speed of the train?

a. 60 km/hr
b. 55 km/hr
c. 65 km/hr
d. 70 km/hr
e. 48 km/hr

64329 is divided by a certain number. While dividing the numbers, 175, 114 and 213 appear as three successive remainders. What is the divisor? a) 234 b) 296 c) 224 d) 213

64329 is divided by a certain number. While dividing the numbers, 175, 114 and 213 appear as three successive remainders. What is the divisor?
a) 234
b) 296
c) 224
d) 213

watch video trick click below

SSC CGL ALGEBRA QUESTION WITH A TRICK