# Tagged Questions

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5answers
458 views

### Divisibility of large number

This was a question asked in a competitive exam: $(300^{3000} -1 )$ is divisible by a) $401$ b) $501$ c) $301$ d) $901$ The answer is $301$. Not sure how they arrived at the answer. Can ...
2answers
256 views

### Number of zeros not possible in $n!$ [duplicate]

Possible Duplicate: How come the number $N!$ can terminate in exactly $1,2,3,4,$ or $6$ zeroes but never $5$ zeroes? The number of zeros which are not possible at the end of the $n!$ is: ...
5answers
863 views

### If a second car leaves later at a higher speed, how long will it take to catch up?

If a Skoda sets off at an average speed of 20 miles per hour at 7 am and a Porsche sets off at an average speed of 40 miles per hour at 4 pm in the same direction, at what time will the Porsche catch ...
4answers
226 views

### Word based problem with percentages

If your salary is increased by 10% and then after 6 months by a further 50%, what is the overall % increase?
1answer
120 views

### If $f(x)$ is a polynomial satisfying $f(x)f(\frac 1x) = f(x)+f(\frac 1x)$ and $f(3)=28$, then how could we find $f(4)$?

If $f(x)$ is a polynomial satisfying $f(x)f(\frac 1x) = f(x)+f(\frac 1x)$ and $f(3)=28$, then how could we find $f(4)$ ?
4answers
258 views

### Finding remainders of large number

This question was asked in a competitive exam. Find the remainder of dividing $6^{83}+ 8^{83}$ by $49$ Are there any theorems/rules to compute the answer ?
4answers
425 views

### Finding last digit of numbers raised to large powers

This question came in a competitive exam I took recently. The last digit of LCM of $3^{2003} - 1$ and $3^{2003} + 1$ is is there any strategy by which we can quickly determine the answer? I am ...
3answers
215 views

### HCF/LCM problem

Find the greatest number that will divide $x$, $y$ and $z$ leaving the same remainder in each case. Now the solution for this is obtained by finding the HCF of $(x – y)$, $(y – z)$ and $(z – x)$. ...
3answers
210 views

### Deriving two properties of clocks

This two properties are given in my module as formulas for clock related problems: $(1)$ If both the hands start moving together from the same position, both the hands will coincide after \$ ...
1answer
231 views

### Is there any international aptitude test for college-level mathematics that can help Graduate Admission?

Is there any international aptitude test for college-level mathematics that can help Graduate Admission? Is there any agency that conduct such a test?
2answers
160 views

### How to find the minimum value of $px+qy$ when $xy=r^2$?

The question says: "Find the minimum value of $px+qy$ when $xy=r^2$." No information is given on $p,q,x,\text{and }y.$ However assuming the obvious I tried using this, but I am not able reduce it to ...
3answers
68 views

### Smallest number in a set

A is the set of seven consequtive two digit numbers, none of these being multiple of 10. Reversing the numbers in set A forms numbers in set B. The difference between the sum of elements in set A ...
1answer
232 views

### If $(1.001)^{1259} = 3.52$ and $(1.001)^{2062} = 7.85$, then $(1.001)^{3321}= ?$

If $(1.001)^{1259} = 3.52$ and $(1.001)^{2062} = 7.85$, then $(1.001)^{3321}= ?$ what should be the approach in-order to get a solution without electronic aid?
1answer
166 views

### Which is the fastest way to solve these two problem?

I have two problems which are based on the sequence $A007376$. Natural numbers starting with $1$ are written one after another like $123456789101112131415\cdots$, how could we find the $10^4$th ...
3answers
333 views

### Percentages - Find Maximum value.

3 candidates A,B and C contest an election. A gets at least 40% of all the votes. B gets at least 20% of the number of votes that A gets and cannot get more than 80% of number of votes that c gets. ...
1answer
109 views

### Finding change in total surface area of a cone

If the height of a cone is decreased by 20% whereas its radius is increased by 25% , can we find the percentage increase in total surface of the cone ? With the above information , I am trying to ...
4answers
126 views

### How much percent new content does Grandpa write in the morning?

Grandpa is writing a book. Every morning he starts writing vigorously and fills a lot of pages. But post-lunch he goes through all that he's written that far (right from day one) and deletes one-fifth ...
2answers
129 views

### Time & Work Problem

12 men do a work in 36 days.In how many days can 18 men do the same work? Sol:This can be solved as 1 man's can do work in 12*36 days So,1 man's 1 day work (1/12*36) days Hence 18 men's 1 day work is ...
1answer
64 views

### Why are we adding instead of subtracting?

The problem statement: Distance between two stations A and B is 230 km. Two motorcyclist starts simultaneously from A and B in opposite directions and the distance between them after 4 hours ...
2answers
53 views

### Which of the following is necessarily a divisor of the number $n\times1000+2 \times n$ where $n\lt 500$?

A three-digit number 'n' (less than 500) is taken. A six-digit number is formed by writing the number 'n' as first three digits and the number '2n' as the last three. Which of the following is ...
2answers
104 views

### If A divided by B is equal to C and C is larger than D …

If A divided by B is equal to C and C is larger than D, and all these number are positive whole numbers other than one, it follows that A is always larger than D B is always smaller than C B is ...
1answer
43 views

### Find the minimum number of tests

Sorry for the title, but I couldn't think of something else, its not actually homework, but rather a question from a maths question book I am currently stuck on, but still I've tagged it in homework. ...
2answers
89 views

### A completes 36% work in 12 days.

A completes 36% work in 12 days. B is twice as fast as A. C is twice as fast as B. How many approx days are required for finishing the remaining 64% work if all of them work together.? a)2 b)4 ...
2answers
52 views

### Help understanding train problem

A train $150$ $m$ long passes a km stone in $15$ seconds and another train of the same length traveling in opposite direction in $8$ seconds. The speed of the ...
1answer
151 views

### $90!$ when divided by $n$, gives an odd number. What can be the minimum and the maximum values of $n$?

$90!$ when divided by $n$, gives an odd number. How could we find the minimum and the maximum values of $n$? I am not sure how to approach this one, any ideas?
2answers
132 views

### Clock puzzle.. Bit tricky

Twin Sisters A and B bought 2 wristwatches at 12 p.m . An Hour later , A's watch reads 1:02 p.m while B's watch reads 12:56 p.m. Later , on same day : If A's watch reads 10 p.m then at that time ...
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