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Notes for Govt competitive exams will follow soon.

IMPORTANT QUESTION FOR CLASS 10TH MATHS SA-2
1)The sum of two numbers is 15, if the sum of their reciprocals is 3/10. Find the number
Ans. 10 and 5
2) 2. Two water taps together can fill a tank inhours. The tap of larger diameter takes 10 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.
Ans . 15 hours , 25 hours
3) A person on tour has Rs. 360 for his daily expenses. If he exceeds his tour program me by four days,he must cut down his daily expenses by Rs 3 per day. Find the number of days of his tour programme.

4) For what value of n are the nth term of two AP , 63 , 65 , 67 ,…… and 3 , 10 , 17 ,…….equal?

5) If sum of n terms of an AP is 2n^2+5n , then find its nth term.
Ans. 4n+3.

6) Write the next term of an AP √8 , √18 , √32 ,…….

7) Find the sum of all natural numbers between 250 and 1000 which are exactly divisible by 3.
Ans. 156375

8) In an AP , the sum of first n terms is 3n^2/2 + 5n/2, find its 25th term

9) A man repays a loan of Rs3250 by paying Rs20 in the first month and then increase the payment by Rs15 every month .How long will it take him to clear the loan ?

10) If P (a/3,4) is the midpoint of the line segment joining the points Q ( -6 , 5 ) and R (-2 , 3) , then find the value of a .
Ans . -12

11) If the point A(1,2), B(0,0) and C(a,b)are collinear, then find the relation between a and b.
Ans 2a=b

12) If the points A (4,3) and B (x,5) are on the circle with centre O(2,3) then find the value of x.
Ans. 2

13) A (6, 1), B (8, 2), C (9, 4) are the three vertices of a parallelogram ABCD. If E is the midpoint of DC, then find the area of ΔADE .

14) Find the centre of a circle passing through the points (6,-6), (3, 7) and (3, 3).
[Ans.3,-2]

15) By distance formula, show that the points (1, -1), (5,2) and (9,5) are collinear

16) Find k so that the point P(-4,6) lies on the line segment joining A (k,0) and B (3, -8). Also find the ratio in which P divides AB.
[ Ans. 3:7 externally; k=-1]

17) The shadow of a tower standing on a level plane is found to be 50m longer when sun’s elevation is 30 then when it is 60. Find the height of the tower.
Ans.25 √3

18) Two poles of equal heights are standing opposite each other on either side of the road ,which is 80m wide . From a point between them on the road the angles of elevation of the top of the poles are 60◦ and 30◦. Find the heights of pole and the distance of the point from the poles.
[Ans; h=34. 64m; 20m , 60m] .

19) The angle of elevation of a jet fighter from a point A on the ground is 600 . After a flight of 15seconds, The angle of elevation changes to 30◦. If the jet is flying at a speed of 720km/ hr, find the constant height at which the jet is flying.
[Ans;1500m ]

20) If quadrilateral ABCD is drawn to circumscribe a circle then prove that AB+CD=AD+BC.

21) Draw a line segment AB=8cm and divide it in the ratio 4:3

22) Draw a pair of tangents to a circle of radius 5cm which are inclined to each other at an angle of 600.

23) Construct a triangle PQR in which QR=6cm Q=600 and R=450. Construct another triangle similar to ΔPQR such that its sides are 5/6 of the corresponding sides of ΔPQR.

24) The length of the minute hand of a clock is 14 cm. Find the area swept by the minute hand in 5 minutes.
[Ans: 154/3 cm]

25) A copper wire when bent in the form of a square encloses an area of 121 cm2 . If the same wire is bent into the form of a circle, find the area of the circle (Use =22/7)
[Ans 154 cm2]

26) The slant height of a frustum of a cone is 4 cm and the perimeter of its circular ends are18cm and 6cm. Find the curved surface area of the frustum

ANS :- 48 sqcm

27) Three metallic solid cubes whose edges are 3cm, 4cm, and 5cm are melted and converted into a single cube .Find the edge of the cube so formed?
ANS :- 6cm

28) A well of diameter 3cm and 14m deep in dug. The earth, taken out of it, has been evenly spread all around it in the shape of a circular ring of width 4m to form an embankment.find the height of embankment?
ANS:- 9/8 m.

29) A farmer connects a pipe of internal diameter 25cm from a canal into a cylindrical tank in his field, which is 12m in diameter and 2.5m deep. If water flows through the pipe at the rate of 3.6km/hr, in how much time will the tank be filled? Also find the cost of water, if the canal department charges at the rate of Rs0.07/m3?
ANS:-96min, Rs19.80

30) A bucket is in the form of a frustum of a cone with a capacity of 12308.8cm3. The radii of the top and bottom circular ends of the bucket are 20cm and 12cm respectively. Find the height of the bucket and also the area of metal sheet used in making it [take pie = 3.14]?

31) Find the probability that a no. selected at random from the number 3,4,5,6,………..25 is prime.

32) Cards with numbers 2 to 101 are placed in a box. A card selected at random from the box. Find the probability that the card which is selected has a number which is a perfect square.

33) Two dice are thrown at the same time. Find the probability of getting (a)same no. on the both side (b)different no. on both sides.

34) The king, queen and jack of clubs are removed from a deck of 52 playing cards and remaining cards are suffled. A card is drawn from the remaining cards. Find the probability of getting a card of (a)heart (b)queen (c)clubs

35) Out of the families having three children, a family is chosen random. Find the probability that the family has
(i) Exactly one girl Ans.
(ii) At least one girl Ans.
(iii) At most one girl

36) From the top of a building 60m. high the angles of depression of the top and the bottom of a tower are observed to be 300 and 600. Find the height of the tower.

10th Biology Guess Test Paper - Heredity and Evolution

Set-1
1 mark questions :-

1. Which of the two exhibit greater variation : as*xual or s*xual reproduction?

2. Why all the variants don't have equal chances of surviving?

3. What is heredity?

4. At which place on earth did humans appeared first?

5. Give the name of plant studied by Mendel?

6. Name the acid which is information source for making proteins in cells.

7. What is the chemical nature of enzymes?

8. Define gene.

9. Which one of the two is shorter in length 'X' or 'Y'?

10. Determine the s*x of progeny inheriting X chromosome from its father.

Important question Maths class 10th

1. Solve for x : (a - b) x2 + (b - c) x + (c - a) = 0

2. The sum of the squares of two consecutive off numbers is 394. Find the numbers.

3. The sum of first six terms of an AP is 42. The ratio of its 10th term to its 30th term is 1 : 3.
Calculate the first and the thirteenth term of the AP.

4. Prove that opposite sides of a quadrilateral circumscribing a circle subtend supplementary
angles at the centre of the circle.

5. A chord PQ of a circle is parallel to the tangent drawn at a point R of the circle. Prove that R
bisect the arc PRQ.

IMPORTANT QUESTIONS FOR THE CLASS 10TH (CBSE) WILL BE UPDATED SOON.

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Ezone Coaching Launching soon in Dhanbad, Coaching for Std 7 to 10th.
Spoken English Classes.
Coaching For Competitive Exams.

For 10th student:- (Carbon and its compound)- The property of carbon of forming bonds with other carbon atoms is known as CATENATION, because of catenation, carbon can form a long chain, while making bond with other carbon atoms. Carbon can make single, double and triple bonds by catenation.

For Economics Student:_(PRICE ELASTICITY)-It is measure of the responsiveness of DEMAND to a change in PRICE. If demand changes by more than the price has changed, the good is price-elastic. If demand changes by less than the price, it is price-inelastic.

Class 10th students, don't solve question's of Quadratic Equation(WORD PROBLEMS) Using linear equation in two variables.
Thanks

For solving Chapter 13 Surface Areas and Volumes post your questions. For class 9th.