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