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Syllabus

i) 5

ii) 3

Make a list of seven consecutive numbers , none of which is prime

there are 371,424and 477 students in different classes going to a hill station for a picnic. buses are to be hiered to take these student to picnic sitefind the maximum no. of who can site in each buss carring equal no. of students

^{100}+ 4x2^{101}= ?a. 2

^{101 }b. 2

^{102}c. 2

^{103 }d. 2

^{104}SOLVE THIS

WHAT IS BODMAS AND WHAT IS THE FULL FORM OF BODMAS?

what is the divisibility rule of 12, 13, 14, 15, 16, 17, 18, 19, 20?

find the largest number which divides 245 and 1029 leaving remainder 5 in each case.

a) 10 b) 9

c) 1 d) 0

45+3{34-(18-14)} / 3[17+3*4-(2*7)]

What is the HCF of two consecutive

(a) Numbers? (b) Even numbers? (c) Odd numbers?

^{0}= 1A. True

B. False

A. Undefined

B. 0

1. the lcm of two numbers is 504.Which of the following numbers cannot be the hcf of these numbers? 16; 1`8; 42; 36

Please explain.

2.in which of the following cases the construction of a triangle is possible, the length of sides given [in cm]as:

a. 14; 19; 5 b. 18; 12; 5 c. 12; 6;9 d. 8; 4; 12

please explain

Express the following as the sum of two odd primes.

(a) 44 (b) 36 (c) 24 (d) 18

How to find the smallest 4 digit number which is divisible by 18,24,32.

2) Evaluate the lcm and hcf of 80, 120 and 60 by listing factors

Q. If 3x + y = 19 , and x + 3y = 1.

Find the value of 2x + 2y

a) 10 b) 20 c) 5 d) 40

1 is neither prime nor composite, so what should we called it ?

Determine the smallest 3-digit number exactly divisible by 6,8,12

I am the smallest number , having four ifferent prime factors. can you find me?

WHAT IS THE DIFFERENCE BETWEEN HCF AND LCM ?

find the least number of 5 digits which leaves remainder 2 in each case when divided by 5,10,12,15,18,25 and 30 .

Find the smallest 4-digit number which is divisible by 18, 24 and 32

if bus has carry largest but equal

number of students from each class

find out the number of bus required

find the greatest number which divides 285 and 1249, leaving remainders 9 and 7 respectively?

What is relation between HCF and LCM?

Which of the following numbers are co-prime?

(a) 18 and 35 (b) 15 and 37 (c) 30 and 415

(d) 17 and 68 (e) 216 and 215 (f) 81 and 16

What is the HCF of any two consecutive even numbers?How to differentiate between OFF and Multiplication in solving sums using BODMAS formula?

Determine the greatest 3-digit number exactly divisible by 8, 10 and 12.

The length, breadth and height of a room are 825 cm, 675 cm and 450 cm respectively. Find the longest tape which can measure the three dimensions of the room exactly.

There is a pond.In that pond there are six fishes.If three fish die then how many fishes are left.simplify the following

a) 35 of [60-{7x7 + ( 12 - 2 of 3)}]

^{0 }= 1A. True

B. False

two brands of chocolates are available in packs of 24 and 15 respectively. if i need to buy an equal number of choclates of both kinds , what is the least number of boxes of each kind i need to buy.

The sum of two consecutive odd numbers is divisible by 4. Verify this statement with the help of some examples.

Express each of the following numbers as the sum of three odd primes:

(a) 21 (b) 31 (c) 53 (d) 61

Find the largest number which divides 2011 and 2623 leaving remainders 9 and 5 respectively. Please answer fast because tommorow's exam!!!

The greatest 4 digit number which is exactly divisible by

12, 16, 20 and 24 show solutions

find the smallest number which when divided by 25,40,60, leaves remainder 7 in each case .

write the factors of 78

^{x }= 1/81 Find x ?1. 4

2. 9

3. 2

4. -4

lcm of pair of numbers is 4 and their sum is 6 what are the numbers

A. 4

B. 6

C. 24

D. None

Dolly purchasestwo bags of fertilizers weighing 75 kg & 105 kgs. Find the maximum value of weight which can measure the 2 bags exact number of times?

Find the smallest number which when divided by 18,12,24 leaves a remainder of 16,10 and 22 respectively

Find the greatest number which divides 34,60 and 85 leaving remainders of 7,6 and 4 respectively.

Write the smallest 5-digit number and express it in the form of its prime factors.

The traffic lights at three different road crossings change after every 48 seconds, 72 seconds and 108 seconds respectively. If they change simultaneously at 7 a.m., at what time will they change simultaneously again?

Write five pairs of prime numbers less than 20 whose sum is divisible by 5.

(Hint: 3 + 7 = 10)

express 1)31 2)49 as the sum of three odd prime numbers?

i) log

_{2}2=1ii) log(2+3)=log2+log3

iii) log

_{10}1=0iv) log(1+2+3)=log1+log2+log3

Change the position of two digits in the number 527253 so that the number formed will become divisible by 11.

A number is divisible by both 5 and 12. By which other number will that number be always divisible?

what is co-prime numbers?

Three tankers contain 403 litres, 434 litres and 465 litres of diesel respectively. Find the maximum capacity of a container that can measure the diesel of the three containers exact number of times.

THREE FRIENDS PLUCKED SOME MANGOES FROM A MANGO GROVE AND COLLECTED THEM TOGETHER IN A PILE AND TOOK A SMALL NAP AFTER THAT.AFTER SOME TIME ONE OF THE FRIENDS WOKE UP AND DIVIDED THE MANGOES INTO THREE EQUAL NUMBERS.THERE WAS ONE MANGO EXTRA. HE GAVE IT TO A MONKEY NEARBY, TOOK ONE PART FOR HIMSELF AND SLEPT AGAIN. NEXT THE SECOND FREIND GOT UP NOT KNOWING WHAT HAPPENED AND DIVIDED THE REST OF THE MANGOES INTO THREE EQUAL PARTS. THERE WAS ONE MANGO EXTRA. HE GAVE IT TO A MONKEY NEARBY, TOOK ONE SHARE FOR HIMSELF AND WENT TO SLEEP AGAIN.NEXT THE THIRDFREIND GOT UP NOT AWARE OF WHAT HAD HAPPENED AND DIVIDED THE MANOGOES INTO THREE EQUAL SHARES. THERE WAS THIS TIME TOO ONE MANGO EXTRA. HE GAVE IT TO A MONKEY NEARBY, TOOK ONE SHARE FOR HIMSELF AND WENT TO SLEEP AGAIN. AFTER SOME TIME, ALL OF THEM GOT UP TOGETHER TO FIND 30 MANGOES. HOW MANY MANGOES DID THE FREINDS PLUCK INITIALLY? ALSO EXPLIAN THE PROCCESS.Find all prime factors of 1729 and arrange them in ascending order. Now state the relation, if any; between two consecutive prime factors.

If the product of two numbers is 2160 and their HCF is 12 what will be the LCM.With steps.