Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫  π  -¹ ² ³ °

You are not logged in.

## #201 2009-01-13 17:58:26

ganesh
Registered: 2005-06-28
Posts: 23,085

### Re: *** Problems

Answers to #83, #84, #85, #86, #87, #88, #89, and #90:-

All correct, JaneFairfax!!! Thats a clean sweep! It reminds me of Steffi beating Natalia Zvereva 6-0, 6-0 in a French Open finals ( I think it was 1988)!

In Question #90, I made a mistake, by oversight. I started with P, Q, and R and having used A, B, and C in a number of problems earlier, I did the same.
Thanks, mathsyperson, for coming to my rescue!!!

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

## #202 2009-01-14 01:39:58

ganesh
Registered: 2005-06-28
Posts: 23,085

### Re: *** Problems

#91. How much must be subtracted from 34968725 to make it exactly divisible by 12?

#92. Which is the smallest number divisible by 8, 15, and 24 and is a perfect square?

#93. What is the difference between the Least Common Multiple and the Greatest Common Divisor of 60, 75, and 90?

#94. Which is the largest number by which all numbers of the form

would be divisible?

#95. Which is the smallest number which leaves a remainder of 2 when divided by 3, 5, and 7 but which is divisible by 11?

#96. The Least Common Multiple and the Greatest Common Divisor of two positive numbers are 2000 and 100 respectively. If both the numbers are of 3 digits, what is the difference between them?

#97. A number when divided by 64 leaves a remainder of 63. When double the number is divided by the same divisor, what would the remainder be?

#98. There are two electrical wires, one is a 9 m 60 cm long aluminium wire and the other is a 5 m 12 cm long copper wire. Find the maximum length that can be equally cut from each wire in such a way that the total length of each wire is exactly divisible by it.

#99. If the sum of two numbers is 55 and the Greatest Common Divisor and the Least Common Multiple of these numbers are 5 and 120 respectively, what is the sum of their reciprocals?

#100. Which is the greatest 4 digit number that is divisible by 12, 15, 20, and 35?

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

## #203 2009-01-14 14:50:17

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Offline

## #204 2009-01-14 18:47:14

ganesh
Registered: 2005-06-28
Posts: 23,085

### Re: *** Problems

Answers to #92, #95, #96, #97, #98, #99, and #100:-
All correct, JaneFairfax!
Please tell me why question #98 is not properly worded. The question hasn't been framed by me, but I find nothing wrong in it!

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

## #205 2009-01-14 23:52:24

ganesh
Registered: 2005-06-28
Posts: 23,085

### Re: *** Problems

#101. Which is the least number of five digits which is divisible by 12, 15, and 18?

#102. If 1.5 x = 0.04 y, then what is the value of

?

#103. If

, what is the value of
?

#104. A student was asked to multiply a given number by

. Instead, he divided the given number by
. His answer was 225 more than the correct answer. What was the given number?

#105. What is the value of (6 * 15 * 3) if

?

#106. One year ago, a father was four times as old as his son. After 6 years, his age would exceed twice his son's age by 9 years. What is the ratio of their present ages?

#107. The sum of two numbers is 184. If one-third of the first number exceeds one-seventh of the second number by 8, find the smaller number.

#108. An article when sold at a gain of 5% yields \$1500 more than when sold at a loss of 5%. What is the Cost Price?

#109. In how many days can 10 women finish a work if 10 men can complete the work in 6 days and 10 men and 10 women together can complete the work in

days?

#110. What is the profit percentage earned by a shopkeeper if the labelled price is 130% of the Cost Price, Cost Price of each article is \$550 and a discount of 10% on the labelled price was offered?

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

## #206 2009-01-15 07:54:55

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Offline

## #207 2009-01-16 01:40:04

ganesh
Registered: 2005-06-28
Posts: 23,085

### Re: *** Problems

Answers to #102, #103, #105, #106, #107, and #109:-
Five out of six correct! 83.33%.

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

## #208 2009-01-16 03:43:51

ganesh
Registered: 2005-06-28
Posts: 23,085

### Re: *** Problems

#111. The diagonal of a rectangular floor is 7½ meters. The shorter side of the rectangular floor is 4½ meters. What is area of the floor in square meters?

#112. If

and
, what is the value of
?

#113. A figure that can be folder over along a straight line such that the result is equal halves which lie one on top of the other is said to have a line of symmetry. Which of the following has only one line of symmetry?
(a) Square  (b) Circle  (c) Equilateral triangle  (d) Isosceles triangle  (e) Rectangle

#114. A laborer is paid \$8 per hour for an 8 hour day and 1½ times the ratefor each hour in excess of 8 hours in a single day. If the laborer received \$80 for a single day's work, how long did he work on that day?

#115. How many minutes would it take to completely fill a tank witgh a capacity of 3750 liters if water is being pumped into the tank at the rate of 800 liters per minute and is being drained out of it at the rate of 300 liters per minute?

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

## #209 2009-01-16 08:28:46

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Oops, careless.

Offline

## #210 2009-01-16 09:30:02

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Offline

## #211 2009-01-16 12:16:54

Muggleton
Member
Registered: 2009-01-15
Posts: 65

### Re: *** Problems

How do make those clickable buttons inside your posts?

Offline

## #212 2009-01-16 12:24:38

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

### Re: *** Problems

Use the hide tags:

[h­ide=<Insert hide-text label here>]<Insert text to be hidden here>[/hide]

Offline

## #213 2009-01-16 12:52:17

Muggleton
Member
Registered: 2009-01-15
Posts: 65

Offline

## #214 2009-01-17 02:44:22

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

### Re: *** Problems

There is a sticky thread in the Puzzles and Games forum

http://www.mathisfunforum.com/viewtopic.php?id=1278

to which you can refer.

Offline

## #215 2009-01-17 03:38:49

ganesh
Registered: 2005-06-28
Posts: 23,085

### Re: *** Problems

Answers to #105, #111, #112, #113, #114, and #115:-
JaneFairfax, your answer to #105 is correct this time.
The answers to #112, #113, #114, and #115 are correct. Your score : 80%

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

## #216 2009-01-17 04:26:34

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

### Re: *** Problems

Argh! I did read the question carefully but mistyped the answer.

Offline

## #217 2009-01-17 16:58:43

ganesh
Registered: 2005-06-28
Posts: 23,085

### Re: *** Problems

You are correct, JaneFairfax.

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

## #218 2009-01-17 19:15:55

ganesh
Registered: 2005-06-28
Posts: 23,085

### Re: *** Problems

#116. If A has \$5 more than B and B has \$2 more than C, then which of the following exchanges would result in each of them having equal amount of money?
(i) A should give C \$4 and B should give C \$5.
(ii) Either A or C should give B \$7.
(iii) C should give A \$1 and A should give B \$1.
(iv) B should give A \$4 and A should give C \$5.
(v) A should give C \$3 and B \$1.

#117. If an adult can assemble 8 times as many electronic goods as a boy, and if the adult assembles 8 electronic goods per hour, how many electronic goods would be assembled by the adult and the boy together in five days, working 24 hours a day?

#118. For which of the following figures can the perimeter of the figure be determined if the area is known?
I. A Trapezoid  II. A Square  III. An Equilateral Triangle  IV. A Parallelogram
(i) I only
(ii) II only
(iii) III only
(iv) II and III only
(v) I and III only

#119. An employee earned \$6,500 in 2008 which is 12½ % more than what he earned in the year 2008. How much did he earn in the year 2007?

#120. How long is a bridge that crosses a river which is 250 meters long, if one bank of the river hold one-third of it and the other holds one-sixth of it?

#121. If the altitude of a triangle is increased by 5% and its altitude is increased by 7%, by what percentage would its area increase?

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

## #219 2009-01-18 00:05:44

ganesh
Registered: 2005-06-28
Posts: 23,085

### Re: *** Problems

#122. There is a sequence of 11 consecutive odd numbers. If the average of the first 7 numbers is X, what is the average of all the 11 integers?

#123. Which of the following has the highest value?

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

## #220 2009-01-18 10:38:37

Muggleton
Member
Registered: 2009-01-15
Posts: 65

Offline

## #221 2009-01-19 03:02:34

ganesh
Registered: 2005-06-28
Posts: 23,085

### Re: *** Problems

Thats a neat way of solving the problem!

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

## #222 2009-01-19 03:50:22

ganesh
Registered: 2005-06-28
Posts: 23,085

### Re: *** Problems

#124. Two-thirds of three-fifths of one-eighth of a certain number is 268.5. What is 30% of that number?

#125. What is the value of x if

?

#126. Three numbers x, y, and z are such that xy=96050 and xz=95625. y is greater than z by 1. What is the value of z?

#127. If the side of a small square is

meters, how many such squares can be accomodated in a square of side 4 meters?

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

## #223 2009-01-20 21:48:09

ganesh
Registered: 2005-06-28
Posts: 23,085

### Re: *** Problems

#128. What is the

term of a series S whose first four terms are (1+1)², (1+2)², (1+3)², (1+4)²?

#129. A train 100 meters long running at a speed of 50 kilometers/hour crosses a 120 meter long train running in the opposite directionin 6 seconds. What is the speed of the other train in kilometers per hour?

#130. How many of the 60 candidates who apllied for a job passed neither the physical test nor the written test if 10% of the candidates passed both the tests, 50% of the candidates passed the physical test, and 20% passed the written test?

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

## #224 2009-01-21 11:27:50

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Offline

## #225 2009-01-21 17:03:58

ganesh
Registered: 2005-06-28
Posts: 23,085

### Re: *** Problems

Answers to #127 and #129 :
Both correct, JaneFairfax!

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline