MEDIUM
10th West Bengal Board
IMPORTANT
Earn 100

At the end of the conference each guest exchange their signatures among themselves. If the total number of signatures is 420, how many guests attended the conference. 

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Important Questions on Miscellaneous Exercise : Algebra

HARD
10th West Bengal Board
IMPORTANT
SCHOOL MATHEMATICS Class 10>Chapter 27 - Miscellaneous Exercise : Algebra>Miscellaneous Exercise : Algebra>Q 38
The perimeter of a rectangular and a square garden are both 160 metre. But the area of the square garden is 100 sq.metre more than the rectangular garden. Find the length and breadth of the rectangular garden.
HARD
10th West Bengal Board
IMPORTANT
SCHOOL MATHEMATICS Class 10>Chapter 27 - Miscellaneous Exercise : Algebra>Miscellaneous Exercise : Algebra>Q 39
In a two-digit number the digit in the ten's place is 3 more than the digit in the unit place and the product of the digits in the unit and ten's place is 18. Find the number.
MEDIUM
10th West Bengal Board
IMPORTANT
SCHOOL MATHEMATICS Class 10>Chapter 27 - Miscellaneous Exercise : Algebra>Miscellaneous Exercise : Algebra>Q 40
What should be added to each of the four numbers a, b, c, d so that the resulting numbers will be in proportion.
MEDIUM
10th West Bengal Board
IMPORTANT
SCHOOL MATHEMATICS Class 10>Chapter 27 - Miscellaneous Exercise : Algebra>Miscellaneous Exercise : Algebra>Q 41
Four numbers are in continued proportion and if the first is 4 and the third is 36, what is the fourth number?
MEDIUM
10th West Bengal Board
IMPORTANT
SCHOOL MATHEMATICS Class 10>Chapter 27 - Miscellaneous Exercise : Algebra>Miscellaneous Exercise : Algebra>Q 42
Four numbers are in continued proportion for which the first two numbers are a and a2. What is the fourth number?
MEDIUM
10th West Bengal Board
IMPORTANT
SCHOOL MATHEMATICS Class 10>Chapter 27 - Miscellaneous Exercise : Algebra>Miscellaneous Exercise : Algebra>Q 43
If bc-k=a2 and ca-k=b2, then show that ab-k=c2.
MEDIUM
10th West Bengal Board
IMPORTANT
SCHOOL MATHEMATICS Class 10>Chapter 27 - Miscellaneous Exercise : Algebra>Miscellaneous Exercise : Algebra>Q 44
If a : b = a+x2 : b+x2 show that, x2=ab.
MEDIUM
10th West Bengal Board
IMPORTANT
SCHOOL MATHEMATICS Class 10>Chapter 27 - Miscellaneous Exercise : Algebra>Miscellaneous Exercise : Algebra>Q 45
If a:b=c:d, prove that a2+c2b2+d2=ab+cd2.