vedic mathematics --- perfect cube of 2 digit number

Very good tutorial on finding the perfect cube of any 2 digit number.

MAT STD VIII / MEGA final IPM STD VIII

MAT STD VIII / MEGA final IPM STD VIII

MAT last 15 questions / Mega final IPm STD VI

MAT last 15 questions / Mega final IPm STD VI

JMO STD V and STD VI --- Data interpretation

In a class of 33, 20 students play cricket, 25 football and 18 volleyball; 15 play both cricket and football, 12 play football and volleyball and 10 cricket and volleyball.
If each student plays at least 1 game, how many play only cricket?

numbers STD V and STD VI

Find the number of numbers between 100 and 300 which begin and end with 1?

MAT Practice paper for STVI (also mega final paper of IPM for STD VI)

MAT Practice paper for STVI (also mega final paper of IPM for STD VI)

miscellaneous equations,

Solve for x:

3x² - 4√(3x² – 4x + 1) = 4x – 4 

irrational numbers

Evaluate:

√[6 + √{6 + √(6 +.........)}

IIT 73 

miscellaneous equations

solve for x:

√x + √{x - √(1 – x)} = 1

miscellaneous equations

Find the real values of x, y and z for the equations
x + y = 2
xy - z²  = 1

IIT 72

miscellaneous equations

Solve for x, y and z

xy + x + y = 23
xz + z + x = 41
yz + y + z = 27

IIT 

miscellaneous equations

Solve for x, y and z

x + y - 4xy = 0
y + z - 6yz = 0
z + x - 8zx = 0

IIT 73

Probability

if A,B and C are events such that P(A) = 0.3, P(B) = 0.4,  P(C) = 0.8, P(AB) = 0.09, P(AC) = 0.28, P(ABC) = 0.08.
If P(A U B U C) >= 0.75. What will be P(BC)?

IIT 83

probability

Six boys and six girls sit in a row randomly. Find the probability that

1. the six girls sit together
2. the boys and girls sit alternately

Probability

2 dices are thrown simultaneously. What is the probability of obtaining a total score of 7?

IIT 74

Grouping in factors for STD V

Grouping in factors for STD V

Questions on Brackets for STD V

Questions on Brackets for STD V

IPM mega final question paper STD VI

IPM mega final question paper STD VI --- 2014

check Q2, 3 and 6. They are a suspect.
Q2. --- impossible to establish a pattern with one eample.
Q3. ----- the answers given are for 2 or 3 or 4 and not for 2, 3 and 4.
Q6 ----insufficient data

JMO indicies

(6561)^(1/2) + (6561)^(1/4) + (6561)^(1/8) = .......................

JMO STD V and STD VI

JMO divisibility

What is the remainder when 17²⁰⁰ is divided by 18 ?

JMO STD VII and STD VIII

JMO STD V and STD VI - divisibility

What is the unit digit in (6324)¹⁷⁹⁷ × (615)³¹⁶ × (341)⁴⁷⁶

^{JMO STD V and STD VI}

JMO --- Divisibility test

When (63⁶³ +63) is divided by 64, the remainder is........................

for JMO STD VII and STD VIII

puzzle

1    A shopkeeper is selling his goods at a profit of 25%. One day a customer bought a toy worth Rs 400. The customer gave the shopkeeper a Rs 500 note. Since the shopkeeper did not have the change, he went to the next shopkeeper for help. His neighbouring shopkeeper gave him 5 notes of Rs 100 after taking the Rs 500 note from the him. The shopkeeper then returned Rs 100 to the customer. In the evening the neighbouring shopkeeper came back to the shop and told the shopkeeper that the Rs 500 note that he had given to him is fake. The shopkeeper promptly returned him a fresh Rs 500 note. How much money did the shopkeeper loose?

A) 500                   B) 920                    C) 600                    D) 1000

JMO, indices, number

In the sum 23¹⁵ + 19¹⁷ + 27³⁵, find the digit in the unit place.

JMO STD V and STD VI

numbers -- JMO std. V and VI

 Find the total number of digits in the number
123456789101112..........20102011

JMO STD V and STD VI

series summation - JMO

Pages of a book are numbered from one onwards. A boy has torn one page of the book. If sum of page numbers of remaining pages of the book is 1620.
Then (1) find page number of torn page and
(2) How many pages the book had ?

JMO ---- STD V and VI

distance and time --- JMO V and VI

If I travel at 30 km/hr I reach  my destination at 10 O clock.
If I travel a 20 km/hr I reach my destination at 4 O' Clock.
How far is the destination from my house

JMO STD V VI

JMO VII and VIII -- series problems

If 

3! = 3 x 2 x 1;

4! = 4 x 3 x 2 x 1,

5! = 5 x 4 x 3 x 2 x 1

Then, find the value of 

1.1 ! + 2.2! + 3.3! + 4.4! + …… + 99.99!               

 JMO VII and VIII

JMO -- DIvisibility

Which are the two numbers less than 260 that exactly divides

 2³² – 1?

JMO – VII and VIII

MAT test paper ---- STD V and STD VI

MAT test paper ---- STD V and STD VI

series problems for STD V and STD VI

Questions on the application of the formulae:

For S = 1 + 2 + 3 + .....n terms = i.e. sum of natural numbers from 1 to n.
S = n (n+1)/2

1. S = ( 1 + 3 + 5 + ... 25 terms) + ( 2 + 4 + 6 ..... 25 terms)
2. S = (3 + 6 + 9 ...... 25 terms)
3. S = ( 2 + 4 + 6 + ...... 25 terms)
4. S = (1 - 1/5) + (1 - 2/5) + (1 - 3/5) + (1 - 4/5) + ..... 25 terms
5. S = (1 - 1/n) + (1 - 2/n) + (1 - 3/n) +........ n terms
6. S = (2a - 3b) + (4a - 6b) + (6a - 9b) +.......... 25 terms, given a = 5 and b = 2

MAT and IPM mega final test paper

Maths Aptitude Test ----- last 15 questions for std. VIII

IPM mega Finals practice Paper for Std. VIII

1.       If 4 kg of coffee is cost as much as 3 kg of tea, and 5 kg of tea cost as much as 10 kg of sugar. What is the price of each when 1 kg of coffee, 1 kg of tea and 1 kg of sugar together cost Rs 112.50?

2.       The price of cooking gas has increased by 20%. By what percent should the consumption come down so as not to increase his expenditure?

3.       A dishonest vendor professes to sell his goods at cost price but he uses a weight of 900 grams for a kg weight. Find his gain Percent?

4.       A reduction in 20% in the price of onions enables a purchaser to obtain 8 kgs more for Rs 80/-. What is the reduced price per Kg?

5.       1 kg of tea and 4 kg of sugar cost Rs 88.20, but if sugar prices rose by 50% and that of tea by 10% they would cost Rs 114.30. Find the price per kg of tea? Answer Rs 45

6.       A sells his goods 5% cheaper than B and 5% dearer than C. A man buys Rs 1000 worth of goods from A. Would it have been more or less profitable for him to have bought half thee goods from B and half from C?

7.       Find the simple interest on Rs 1000 from March 3^rd to July 27^th of the same year @ 5% per annum?

8.       An army consists of 12000 men and women. The average height of the men is 1.9 metres, that of the women is 1.8 metres and that of the army is 1.875 metres. Find the number of women in the army.

9.       If S = (1+ 3 + 5 + ........... 35) + (2 + 4 + 6..........+ 34), Then the Value of S is...........................

10.   Q as a percentage of P is equal to P as a percentage of (P + Q). Find Q as a percentage of P. (given square root of 5 = 2.236)

11.   Solve:       ^{(719×719+347×347−719×347)} / _{(719×719×719+347×347×347)} =.....................................

12.   Find the sum:  (1−¹/_n) + (1−²/_n) + (1−³/_n) +.................up to n terms=?

13.   What is the remainder when 17²⁰⁰ is divided by 18?  Answer 1

14.   If 7^{(x - y)} = 343 and 7^{(x + y)} = 16807, what is the value of x?

15.   What is the unit digit in (6324)¹⁷⁹⁷ × (615)³¹⁶ × (341)⁴⁷⁶?

Chain rule

Chain Rule Questions from Pitambar Lal   ( with solution)

how to solve chain rule problems

A garrison had provisions for a certain number of days. After 10 days, 1/5 of the men desert and it is found that the provisions will now last just as long as before. How long was that?

a)      50 days                b) 30 days          c) 40 days           d) 60 days

Answer:

Let “x” be the number of days the provisions would last for the garrison of “y” men

We can re phrase the question now.

“ there is provision for y men for ( x – 10) days, and there is provision for ( y – y/5 = 4y/5) men for x number of days”

So, x = (x – 10) * {y/(4y/5)}

Or, x = (5/4)( x – 10)

Or, 4x = 5x – 50

Or, x = 50 days. answer is a.

If 40 men can make 30 boxes in 20 days, How many more men are needed to make 60 boxes in 25 days?

a)      28           b) 24                      c) 22                       d) 26

Answer:

40 x (60/30) x (20/25) =  64 men

So, extra men = 64 – 40 = 24. Answer is b.

Note: for making more number of boxes you will need more number of men. So fraction must be more than 1............... (60/ 30)

In more number of days you will need less number of men.

So, the fraction should be less than 1............................(20/25)

In a camp, food was sufficient for 2000 people for 54 days. After 15 days, more people came and the food last only for 20 more days. How many people came?

a)      1900       b) 1800                 c) 1940                  d) 2000

Answer:

We will re-phrase the question

There is food for 2000 people for (54 – 15 = 39) days. Food lasted for 20 days. So, how many people where there.

= 2000 x (39/20) = 3900

So, extra people who joined was = 3900 – 2000 = 1900

answer is a

How to solve problems using chain rule

In a dairy farm, 40 cows eat 40 bags of husk in 40 days. In how many days one cow will eat one bag of husk?

a.       1              b.  40                     c. 20                       d. 26

Answer:

What do we need to find? ... the number of days.

So, first record the day data given =  40 x ..................       (1)

Next go to the other variables. First, consider the number of cows.

Since the number of cows is decreasing, the husk will last more number of days. Whenever there is more, your multiplication factor should be greater than 1. So, (40/1)  ------ (2)

Second variable is bags of husk

Since the number of bags of husk is decreasing, the husk will last less number of days. Whenever there is less, your multiplication factor should be less than 1. So, (1/40) ------ (3)

Therefore, total number of days = 40 x (40/1) x (1/40) = 40 days   ...............(1) x (2) x (3)

Answer is B.

In a camp, there is a meal for 120 men or 200 children. If 150 children have taken the meal, how many men will be catered to with remaining meal?

a)      50                           b) 40                      c) 30                       d) 10

Answer:

150 children = 120 x (150/200) men = 90 men

So, balance number of men = 120 – 90 = 30

 3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day should 4 pumps work in order to empty the tank in 1 day?

a)      10                           b) 12                      c) 8                         d) 15

Answer:

= 8 x (3/4) x(2/1) = 12 hours

Note the factor   ----  ¾

More number of pumps will take less number of hours to do the job. less means fraction should be less than 1. So, ¾ and not 4/3.

Now, note the factor   2/1

In job is to be completed in less number of days, more hour of work is required. More means the fraction should be more than 1. So, 2/1 and not ½.

Remember, that relationship has to be established strictly with the variable you have to find.

21 goats eat as much as 15 cows. How many goats eat as much as 35 cows?

a)      49                           b)32                       c)36                        d)41

Answer:

 21 x (35/15) = 49

More number of cows means more the number of goats. So, the multiplication factor should be more than 1. So, fraction will be (35/15) and not (15/35)

A fort had provision of food for 150 men for 45 days. After 10 days, 25 men left the fort. Find out the number of days for which the remaining food will last.

a)      45                           b) 42                      c)40                        d)38

Answer:

We can rewrite the above question as, “the fort has provision for 150 men for (45 – 10 = 35) days. How many days will the provision last for (150 – 25 = 125) men”

 35 x (150/125) = 42 days

Answer is b

Note: less number of men means provision will last more number of days. More means fraction should be greater than 1. So, fraction is (150/125) and not (125/150).

Maths Aptitude test (MAT) for class V and VI

Maths Aptitude test (MAT) for class V and VI ----- Last 15 questions of 50 questions

MAT practice paper for STD V / Std VI

MAT practice paper Std. V/ Std. VI

IPM mega final exam

Hope you fared well in the Mega finals of IPM.
Would you mind sending me the question papers on my email
shubhro.enerjet@gmail.com
I will post them so that everyone can benefit from it.

MAT /IPM Mega Final Practice paper STD VIII

MAT / IPM Mega Final Practice paper STD VIII

MAT/ IPM mega final practice paper std VII

MAT/ IPM mega final practice paper  std VII

MAT/ IPM Mega Final practice paper --- STD VI

MAT / IPM Mega Final STD VI - practice paper

MAT / IPM Mega Finals Practice paper - STD V / STD VI

MAT / IPM Mega Finals Practice paper - STD V / STD VI

MAT / IPM mega finals practice paper - STD IX

MAT / IPM mega finals practice paper for STD. IX

MAT / IPM mega finals practice paper -- STD V / STD VI

MAT / IPM mega finals practice paper -- STD V
last 15 questions of MAT

MAT / IPM mega finals practice paper for STD IX

MAT / IPM mega finals practice paper for STD IX

last 15 questions of MAT

MAT/ ipm mega final practice paper std. VII

MAT / ipm mega final practice paper std. VII

last 15 questions of MAT

MAT / IPM Mega Finals practice paper Std. V / Std. VI

MAT / IPM Mega Finals practice paper Std. V/STD VI

last 15 questions of MAT

MAT / IPM Mega Finals practice paper Std. V / Std. VI

MAT / IPM Mega Finals practice paper Std. V / Std. VI

last 15 questions of MAT

MAT / IPM mega final practice papers for std VII -- 2

MAT / IPM mega final practice papers for std VII
last 15 questions of MAT

logarithm

Logarithm questions posted by Ishan

logarithm

Logarithm questions posted by Ishan

logarithm

Logarithm questions posted by Ishan

logarithm

Logarithm questions posted by Ishan

logarithm

Logarithm questions posted by Ishan

Logarithm

Logarithm questions posted by Ishan

logarithm

Logarithm questions posted by Ishan

logarithm

logarithm questions posted by Ishan

logarithm

logarithm questions posted by Ishan

logarithm

Logarithm questions posted by Ishan.

Puzzle

Leela and Bela are 2 sisters. Leela is now 20 years old. Leela puts Rs 250 in her piggy bank on each birthday. Her sister Bela is a little naughty. She takes out Rs 50 from the piggy bank of Leela on each of her birthday. On attaining an age of 60 Leela decides to find out how much she has in her piggy bank. She breaks the piggy and finds only Rs 500. What is the date of birth of Leela?

MAT / IPM std VII mega final practice test paper - 1

MAT / IPM std V11 mega final practice test paper
last 15 questions of MAT

MAT / IPM std. IX mega final practice paper - 2

IPM std. IX mega final practice paper
last 15 questions of MAT

MAT / IPM STD IX mega final practice paper 1

MAT / IPM STD IX mega final practice paper
MAT last 15 questions

MAT / IPM mega final test paper for STD V / STD VI

Last 15 questions for MAT preparations

IPM Mega Final Practice Paper for STD V

1.       A 125 litres jar of milk contains 35% water. How much water should be evaporated so that the milk contains only 20% water?

2.       How many numbers are there between 1and 1000 (both number inclusive) which is neither divisible by 3 nor 6 nor 9?

3.       The cost of how many eggs is equal to the selling price of 4 eggs if the gain is 25 %?

4.       A wire in the shape of a square of side 15 cm is converted into a circle. What is the area of the circle?

5.       Rs 2000 doubles itself in 5 years, Simple interest. After how many years will the Amount be Rs 3200?

6.      

7.       In a zoo there are animals and birds. The total number of heads in the zoo is 200. The total number of legs in the zoo is 320. How many birds are there in the zoo?

8.       How many Saturdays are there between 31^st Jan and 12^th of September of the same year if 15^th Jan is a Monday?

9.       A wall of 15 feet by 12 feet is to be erected. The size of each brick is 0.5 feet by 1 foot. 20% of the wall will be covered by mortar and rest by brick. How many bricks are required to erect the wall?

10.   The cost of 5 elephants is equal to 20 cows. The cost of 4 cows is equal to 12 goats. How many goats can you buy with 3 elephants?

11.   A boy travels from home to the bus stand at 10 km/hr. He realizes on reaching the bus stand that he has forgotten to carry his purse. So he immediately rushes back home at a speed of “x” km/hr. The average speed of the total journey is 8 km/hr.  What is the value of “x”?

12.   Arrange in ascending order:

¹²/₁₇, ⁷/₁₃, ¹⁶/₄₄, ³/₈

13.   Complete the sequence:  289, ......., 361, 441, 529.

14.   The sides of a square are increased by 20%. What will be the % increase in area of new square?

15.   If 25% of a number is equal to 2/3^rd of another number, what is the ratio of first number to the second number?

MAT - IPM Mega Finals -- STD V / STD VI

MAT / IPM Mega Finals -- STD V / STD VI

last 15 questions of MAT

MAT / IPM Mega Finals -- STD V / STD VI

IPM Mega Finals -- STD V ---- Practice Paper

Last 15 questions for MAT

MAT / IPM Mega Finals -- STD V / STD VI

MAT / IPM Mega Finals -- STD V

Last 15 questions for MAT

MAT / IPM Mega Finals -- STD V / STD VI

MAT / IPM Mega Finals -- STD V / STD VI

MAT / IPM Mega Finals -- STD V / STD VI

MAT / IPM Mega Finals -- STD V / STD VI

Last 15 questions for MAT

simple equations --- STD V

algebraic expressions -- STD V

writing algebraic expressions --- STD V

IPM -- STD V test Paper - 2014

algebra puzzle

Solve the following: 

ABCD × D = DCBA

where each Alphabet represents a unique number:

addition puzzle

Replace letters with digits and have this sum be true:

KAYAK
KAYAK
KAYAK
KAYAK
KAYAK
KAYAK   +
--------------
SPORT

please note each ALPHABET is a unique number.

IPM STD VII test paper 2014

compound interest

The compound interest on a certain sum for 2 years at 10% per annum is Rs. 525. The simple interest on the same sum for double the time at half the rate percent per annum is --------------------

compound interest

The effective annual rate of interest corresponding to a nominal rate of 6% per annum payable half-yearly is...................................

compound interest

The difference between compound interest and simple interest on an amount of Rs. 15,000 for 2 years is Rs. 96. What is the rate of interest per annum?

compound interest

The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4% per annum is Re. 1. What is the sum?

mixture

In what ratio must water be mixed with milk to gain 16% on selling the mixture at cost price?

mixture

A dishonest milkman professes to sell his milk at cost price but he mixes it with water and thereby gains 25%. What is the percentage of water in the mixture ?

mixtures

8 litres are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of water is 16 : 65. How much wine did the cask hold originally?

Mixture

A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 litres of milk such that the ratio of water to milk is 3 : 5?

data interpretetion

Data interpretation

Data Interpretation

number puzzles

Find the missing number:

number puzzle

Find the missing number: