The sequence a1, a2, a3, ... a61 satisfied the condition an+1 = an + 2 for n = 1, 2, 3 .... 60. If sum of all the terms a1 through a61 is 1220, find the sum of all terms of the form a2n in this series, where n is a natural number.
a. 610
b. 620
c. 605
d. 615
e. 600
There is a trapezium ABCD such that the sides AB and CD are parallel to each other. The diagonals AC and BD intersect at O. The area of the triangle COD is 10 square cm and the area of the triangle AOB is 40 square cm. Find the area of the trapezium.
a. 90 square cm
b. 100 square cm
c. 250 square cm
d. 120 square cm
If a+b+c+d=20, then find the number of solutions possible when a,b,c,d
plz share approach (especially deducting part)
Three friends – Shobhit, Ankur and Gautam – together can complete a piece of work in 'x' days.Gautam alone can complete the work in '2x' days whereas Ankur can do the same in two days morethan the number of days taken by Gautam alone. If Shobhit is 50% less efficient than Gautam, findthe value of 'x'.(a) 1 (b) 2 (c) 3 (d) 4
5)How many integers between 1 an 100000 have sum of their digits equal to 18? pls help
share u r approach
2 parallel lines each having 100 points. how many triangle can be formed out of these points with their vertices on either of lines.
A test has 90 questions. Each correct answer is awarded 1 mark, each wrong answer is awarded -0.5 mark and each unanswered question is awarded -0.25 mark. A candidate scored 5 marks in this test. the no of wrongly answered questions by him cannot be more than
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From a point outside a circle of radius 15 cm, two tangents are drawn to the circle. The angle
between the tangents is 74°. Find the area of the triangle formed by the tangents and the chord
joining the points of contact. (sin37° = 0.6
a) 384 cm2 b) 94 cm2 c) 192 cm2 d) 225 cm2
approach please
A point inside a triangle is located at 3,4,5 units away from vertex A,B,C. What is the area of ABC. Plz share your approach.
Solve..share approach
Please answer the following:
Eight members of different ages from the same family sit around a circular table for dinner. In how many ways can they be arranged such that on either side of younger members there are elder members seated?
a. 132
b. 720
c. 5040
d. 144
Solve
Slove
Solve
1 and 8 are the first two natural numbers for which 1+2+3+....+n is a perfect square.Which number is the 4th such number?
Some chocolates were distributed equally among all the students of first class and 11 chocolates were left. Had the same number of chocolates been distributed equally among the students of second class, 5 chocolates would have been left. If the number of students in the first class is 4 times of those in the second, than find the total students in both the classes.
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A husband and wife appeared in an interview for two vacancies in the same organisation. The probability of husband's selection is 1/7 and that of wife's is 1/5. What is the probability that only one of them will be selected?
1)4/7
2)2/7
3)2/35
4)4/35
Finding Number of FunctionsA = ( a,e,i,o,u ), B = ( 1,2,3)
1. No. of Functions from A to B - Distributing 5 distinct Balls in 3 Distinct boxes.
2. No. of Onto functions from A to B - Distributing 5 distinct Balls in 3 Distinct boxes such that none of the box is empty.
3. No. of Into functions from A to B - Distributing 5 distinct Balls in 3 Distinct boxes such that atleast one of the box is empty. A = ( a,e,i ), B = ( 1,2,3,4,5)
4. No. of One to One functions from A to B - Distributing 3 distinct Balls in 5 Distinct boxes such that none of the boxes has more than 1 ball.
5. No. of Many to One functions from A to B - Distributing 3 distinct Balls in 5 Distinct boxes such that atleast one of the boxes has more than 1 ball.