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CBSE->Std 10 Questions

Total Questions 2595
for an A.P show that Ap+Ap+2q = 2Ap+q
how many two-digit numbers are divisible by 37?
the length of the shadow of a tower standing on level ground is found to be 2x meters longer when the sun's altitudes is 30 degree than when it was 45 degree. prove that the height of tower is (root 3+1)x meters.
If a, b and c be the sums of first p, q and r terms respectively of an AP, show that a/p(q-r) + b/q(r-p) + c/r (p-q) = 0
in an AP the sum of first n terms is given by Sn = 3n sq/2 + 5n/2. find the 25th term
if P(x,y) is any point on the line segment joining the points A(a,0) and B(0,b) then show that x/a + y/b=1
solve for x 2(2x+3/x-3)=5
Solve for x: a(a2+b2)x2+b2x-a = 0 a(a square + b Square)X square+ b square x -a = 0)
What will be the increase in area of circle if its radius is increased by 40%?
A semi-circular sheet of paper of diameter 28cm is bent into an open conical cup. find the depth and capacity of the cup.
A bucket open at the top and made up of a metal sheet is in the form of a frustum of a cone. the depth of the bucket is 24cm and the diameter of its upper and lower circular ends are 30cm an d 10 cm respectively. find the cost of metal sheet used in it at the rate of Rs.10 per 100 Sqcm.
If the sum of first 7 terms of an AP is 49 and that of first 17 terms is 289, find the sum of its first n terms? (please do reply fast)
a box contains 12 balls out of which x are black. if one ball is drawn at random from the box, what is the probability that it will be a black ball? if 6 more black balls are put in the box, the probability of drawing a black ball now is double of what it was before. find x.
three consecutive vertices of a parallelogram ABCD are A(1,2) B(1,0) and C(4,0). find the fourth vertex D
the ticket receipts at the show of a film amounted to rs. 6500 on the first day and showed a drop of rs. 110 every succeeding day. if the operational expenses of the show are rs. 1000 a day. find on which day the show ceases to be profitable ?
determine the ratio in which the line 2x + y - 4 = 0 divides the line segment joining the points (2,-2) and (3,7)
a person has a rectangular garden whose area is 100 sq m. he fences three sides of the garden with 30 m barbed wire. on the fourth side, the wall of his house is constructed, find the dimensions of the garden.
the points A(2,9), B(a,5), C(5,5) are the vertices of a triangle ABC, right angled at b. find the value of a and hence the area of ABC
a bag contains 5 red balls and some blue balls. if the probability of drawing a blue ball is thrice that of red ball, find the number of blue balls in the bag?
the radius of the wheels of a bus is 70 cm, how many revolutions per minute must a wheel make in order to move at a speed of 66 km/hr?