Magic Puzzle

Here is a puzzle which you can use for entertainment in parties with your friends, and enjoy the magic.

Ask your friend to secretly write any number with any number of digits, but not ending with zero.(Say he writes 89635). Now ask him to add up the all digits and then subtract the total from the original number. (In example, the total of all digits is 8+9+6+3+5 = 31, and then subtract the total from original number i.e. 89635 – 31 = 89604). Now ask him to cross any one digit from this resulting number and tell the remaining number. (In example say he crosses out 6 and tells you the remaining number 8904).

Now you have to do your magic. You did not know what was the number he wrote. What was the total of all its digits and what was the difference. You have to tell the digit he crossed out only by knowing the remaining number he told you.

Can you do it? I know many of you will be able to do it. So what are you waiting for? Post your answer now!

Quantitative Aptitude Question for Competitive Examinations

Quantitative Aptitude Question: Topic – Time, Speed and Distance

Try solving this question which has appeared in CAT, GRE and GMAT papers and many other competitive examinations. So try your hands at this question from topic speed and distance. You can expect similar questions in competitive examinations.

Here is the Competitive Examination Question -

A thief escaped from police custody. Since he was a sprinter, he could run at a speed of 40 km/hr. The police realized it after 3 hr and started chasing him in the same direction at 50km/hr. The police had a dog, which could run at 60 km/hr. The dog would run to the thief and then return back to the police and then would turn back towards the thief. It kept on doing so till the police caught the thief. Find the total distance traveled by the dog in the direction of the thief?

Here are the options -

a) 720 km
b) 600 km
c) 660 km
d) 360 km
e) 230 km

I will provide the solution later.  I urge everyone to try this.  Please give explanation with your answers -

Tags: CAT Sample Quantitative Questions, Quantitative Ability, Quants question

Mathematics Puzzle

Hello Friends,

Today I am giving you a very interesting puzzle.  This is not a very simple puzzle. You have to use your gray cells to answer this. You have to face similar problems in your Logical Reasoning part of CAT.  Don’t look at the existing answers (in comments), if there is any. Try it yourself

Puzzle

At a census there is the following dialog:

Field helper: number of children?

Citizen: three!

Field helper: age of Your children in whole numbers?

Citizen: The product of the years is 36.

Field helper: This not a sufficent answer!

Citizen: The sum of the ages equals the

number of the house of our next neighbour.

(Field helper acquires the number.)

Field helper: That is still not a sufficient answer!

Citizen: Our eldest child plays the piano.

Field helper: (after some mental calculations) – Fine, now I know the age of your three children. But it would not have been possible without the last clue.

How old are the three children?

Leave your answers below -

Tags: Logical Reasoning, mathematics puzzle

Quantitative Ability Sample Questions

Direction for next 2 Quantitative Ability Sample Questions: Answer the quantitative ability sample questions on the basis of the text given below

In a cricket game, 3 batsman A , B and C performed well . The runs are scored in 6’s , 4’s and 1’s only. The number of B’s sixes are greater by 50% than that of C and less by 25% than that of A. The number of B’s fours are greater by 50% than that of A and less by 25% than that of C. Maximum numbers of one’s is scored by C which is 50% greater than that of A, and B’s is 25% greater than that of A . The number of balls and number of runs scored are same. Also 276 runs are scored in the game. Runs scored from 6’s are 75% of the runs scored from 4’s . A score 40 ones.

1. Who scores maximum runs ?
a) A
b) B
c) C
d) A & B
e ) B & C

2. How many balls were dot balls?
a) 126
b) 150
c) 76

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Tags: Quantitative Ability, Quantitative Ability Questions, Quantitative Ability Sample Questions

Sample Quantitative Ability Questions

Sample Quantitative Ability Questions- Directions for next 3 Sample Quantitative Ability Questions: Answer the quantitative ability questions on the basis of the information given below.

In the adjoining figure, I and II are circles with centres P and Q respectively. The two circles touch each other and have a common tangent that touches them at points R and S respectively. This common tangent meets the line joining P and Q at O. The
Diameters of I and II are in the ratio 4:3, It is also known that the length of PO is 28 cm.

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1. What is the ratio of the length of PQ to that of QO?
a)1:4
b)1:3
c) 3:8
d) 3:4
e) 2:5

2. What is the radius of the circle II?
a) 2cm
b) 3cm
c) 4cm
d)5cm
e) 6 cm

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Tags: Quantitative Ability Questions, Sample Quantitative Ability Questions

Quantitative Ability Questions

Quantitative Ability Questions- Direction for next 2 Quantitative Ability Questions: Answer the following quantitative ability questions on the basis of data given below.
x , y , z are positive integers such that x + y + z = 100,

1. Find the probability that x > 20, y > 10 , z > 20 .
a) 23/99
b) 1/7
c) 7/33
d) 1/8
e) 8/33

2. Find the number of possible solutions for the equation in the previous question, If 25 < x < 51, y > 10 and z > 15.
a) 900
b) 1176
c) 4075
d) 236

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Tags: Disfficult Quantitative Ability Questions, Quantitative Ability Questions, Sample Quantitative Ability Questions

Sample CAT Quantitative Questions

Direction for next 3 CAT Quantitative Questions: Answer the quantitative questions on the basis of the text given below.

There are 3 bottles and a jug. The bottles each have a capacity of 5 liters but are partially filled with water. The jug also has some water in it. The sum of the water in the jug and water in the first bottle is half of the total jug capacity. When the first bottle and third bottle are emptied into the jug, it contains 6 liters of water. When the second and the third bottle are emptied into the jug, it contains 7 liters of water. When all the bottles are poured into the jug, it’s filled to it’s capacity. The first and second bottles contain a total of 7 liters.

1. what percentage of total capacity of the bottles is filled with water?
a) 20% – 40%
b) 40% – 60%
c) 60% – 80%
d)30% – 50%
e) Can’t be determined.

2. What is the capacity of the jug? (In liters)
a) 7
b) 8
c) 9
d) 10
e) 11

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Tags: CAT Quantitative Questions, Quantitative Questions for cat, Sample Quantitative Questions

CAT Difficult Questions

Difficult CAT Questions-Directions for next 2 CAT Questions: Answer the cat questions on the basis of the text given below

There are n urns each containing n + 1 balls such that the ith urn contains i white balls and (n + 1 − i) red balls. Let ui be the event of selecting ith urn, i = 1, 2, 3 …, n and w denotes the event of getting a white ball.

1. If n is even and E denotes the event of choosing even numbered urn ( P(ui) = 1/n) , then the value of P(w/E) is
a) (n+2) / (2n+1)
b) (n+2) / 2(n+1)
c) n / (n+1)
d) 1 / (n+1)
e) none of these
Answer b) (n+2) / 2(n+1)
P( w/E) = (2+4+…+n) / {n(n+1)/2} = (n+2) / 2(n+1)

2. If P(ui) = c, where c is a constant then P(un/w) is equal to
a) 2/ ( n+1)
b) 1/ (n+1)
c) n/(n+1)

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Tags: CAT Difficult Questions, CAT questions, Difficult cat questions

Sample Quantitative Questions for CAT

CAT Sample Quantitative Questions-Direction for next quantitative questions: Answer the following quantitative questions on the basis of data given below.

In a company X, 5 employees drink tea, Coffee and milk. 4 employees drink only tea and milk, 1 employee drinks only tea and coffee. No employee takes only milk and coffee , 8 employees take only tea , 13 employees take only milk, 9 employees take only coffee.

In a company Y, 7 employees drink tea, Coffee and milk. 4 employees drink only milk and tea, 11 employees take only tea and coffee and 3 only milk and coffee. 5 employees drink only tea. 1 employee drinks only coffee and 12 employees drink only milk. There are 10 common employees in company X and Y who drink only milk.

1. What is the total no of employees in X and Y together?
a) 33
b) 73
c) 63
d) 43
e) 53

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Tags: CAT Quantitative Questions, CAT Sample Quantitative Questions, Sample Quantitative Questions, Sample Quantitative Questions For CAT

Quantitative questions and answers

Sample quantitative questions and answers- Directions for next 2 Quantitative questions: Answers the quantitative questions on the basis of the information given below.

In an examination, there are 100 questions divided into three groups A, B and C such that each group contains at least one question. Each question in group A carries 1 mark, each question in group B carries 2 marks and each question in group C carries 3 marks.
It is known that the questions in group A together carry at least 60% of the total marks.

1. If group B contains 23 questions, then how many questions are there in group C?
a. 1
b. 2
c. 3
d. 4
e. Cannot be determined
Answer: e) cannot be determined
Group A carries 1 mark
Group B carries 2 marks
Group C carries 3 marks
Now group A carries at least 60% that means group B and C carry at the most 40% but since we don’t know the actual breakup of B and C we cannot Predict the no. of questions in C.

2. If group C contains 8 questions and group B carries at least 20% of the total marks, which of the following best describes the number of questions in group B?
a. 11 or 12
b. 12or 13
c. 13or 14
d. 14or 15

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Tags: Quantitative Questions and Answers, Quantitative Questions and solutions, quantitative questions with answers, Quantitative Questions with solutions