MATHS QUSTION PLEASE DO ALL THE QUSION WHO WILL DO ALL QUSTIO I MAK AS BRAINLIST Ques1. Define fundamental theorem of arithmetic and Euclid’s Division
Lemma.
Ques.2 Find the HCF using Euclid’s Division Algorithm.
(a)196 , 38220
(b) 240 , 6552
Ques3. Prove that:
(a)√ + √ is an irrational number.
(b) 5 + √ is an irrational number.
Ques4. Show that any odd positive integer is of the form 6q + 1 or
6q + 3 or 6q + 5 for some integer q.
Ques5. Find the greatest number that will divide 1251, 9377 and 15628
leaving remainders 1, 2 and 3 respectively.
Ques6. The decimal representation of the rational number
×
Will terminate after how many places of decimal.
Ques 7. In a seminar the number of participants in Maths, Physics and
Biology are 336, 240 and 96. Find the minimum number of rooms
required if in each room the same number of participants is to be
seated and all of them of the same subject.
Ques8. If HCF of 144 and 180 is expressed in the form 13m – 3, find the value
of m.
Ques9. Show that
cannot end with the digit 0 or 5.
Ques10. Prove that square of any positive integer is of the form 4m or 4m + 1
for some integer m.
Ques 11. Find the HCF and LCM of 288, 360 and 384 using Prime
Factorisation method.
Ques12. Show that the square of any positive integer cannot be of the form
5q + 2 or 5q + 3 for any positive integer q.
Ques13. Students of a class are made to stand in rows. If one student is extra
in a row there would be 2 rows less. If one student is less in a row here
would be 3 rows more. Find the number of students in the class.
Ques14. 8 men and 12 boys can finish a piece of work in 10 days while 6 men
and 8 boys can finish it in 14 days. Find the time taken by one
man alone and one boy alone to finish the work.
Ques15. Obtain all the zeroes of the polynomial +
- 18
- 20x – 5 if two
of its zeroes are √
and −√
.
Ques16.If and are the zeroes of f(x) = p
- 2x + 3p and
+ = , then find the value of p.
Ques17. Divide the polynomial p(x) by the polynomial g(x) and find the
quotient and remainder in
p(x)= + 11
- 82
- 12x + 48 , g(x) =
+2x - 4
Ques 18. Draw the graph of 2x + y = 6 and 2x – y + 2 = 0. Shade the region
bounded by these lines and x-axis. Find the area of the shaded
regions.
Ques 19. Solve the following pair of linear equations by the Substitution
Method and Elimination Method:
(a) 4x + 3y = 48 and 20x - 3y = 96
(b) 3x - 5y = 4 and 9x - 2y = 7
Ques 20. On comparing the ratios
,
and
, find out whether the
following pair of linear equation are consistent , or inconsistent .
(a) 5x - 3y = 11, -15x + 9y = 33 (b)
x + 2y = 8 , 2x + 3y = 12
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