Mr. A averages 12 television service calls per day and Mr. B averages 16 service calls per day. If Mr. A's avera ge cha rge is 3/2 as much as that of Mr. B, who earns Rs.7,200 per year, the annual earnings of Mr. A ar
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A car is climbing up a hill at a speed of 90kmph. A rabbit, sitting at the top of the hill spots the car when it is 1170 km away, and start running down the hill towards the car at a speed of 140kmph. As soon as it meets the car, the rabbit turns back towards the top of the hill at a speed of 120kmph. The rabbit continues this to & from motion from the top of the hill towards the car and again back at the top of the hill till the car raches the top of the hill. Find the total distance covered by the rabbit.
Mr. Fast, who works twice as fast as Mr. Slocum receives an hourly rate of pay 1½ times as much as Mr. Slocum. An efficiency expert calculates that an article produced by Mr. Fast has a labor cost of Rs.12. What is the labor cost in rupees of an article produced by Mr. Slocum?😃
Circle Γ with center O is tangential to PA at A. Line PO extended intersects Γ at B (i.e. PO is less than PB). C is a point on AB such that PC bisects ∠APB. What is the measure (in degrees) of ∠PCA?
A circle has diameter AD of length 400. B and C are points on the same arc of AD such that |AB|=|BC|=60. What is the length |CD|?
Details and assumptions
Lengths given are always straight line distances, not arc lengths. We use |⋅| in this problem to make the distinction clearer.
On the circumference of circle Γ, chord AB with length 1100 is drawn. Let C be the midpoint of AB. Through C, 2 other chords DE and FG are also drawn, such that the points around the circle are A,D,F,B,E,G. The line segment AB intersects DGand FE (internally) at H and I, respectively. If AH=449, what is CI?
A fair coin is tossed repeatedly, until 5 consecutive heads occurs. What is the expected number of coin tosses?
How many ordered pairs of non-negative integers (a,b) are there such that root(a) + root(b) = root(625) ?
How many ordered pairs of non-negative integers (a,b) are there such that
root(a) + root(b) = root(432)
How many ordered tuples of 7 integers are there, such that
X1 + X2 + X3 + X4 + X5 + X6 + X7 − X1*X2*X3*X4*X5*X6*X7 = 6 , and 1 ≤ Xn ≤ 8.
In triangle ABC, ∠A=100∘,∠B=60∘ and BC has side length 1. Let D be the midpoint of side AC, and Eis a point on side BC such that ∠EDC=80∘. The value of [ABC]+2[CDE] can be expressed as root a/b, where a and b are positive coprime integers. What is the value of a+b?Note: [PQRS] denotes the area of figure PQRS.
P is a point contained within a square ABCD, such that ∠DCP=20∘,∠DAP=25∘. What is the measure (in degrees) of ∠APB?
a,b and c are distinct positive integers strictly greater than 1. If a*b*c divides (a*b−1)(b*c−1)(c*a−1), what is the value of a*b*c?
A circle has diameter AD of length 400. B and C are points on the same arc of AD such that |AB|=|BC|=60. What is the length |CD|?Details and assumptions
Lengths given are always straight line distances, not arc lengths. We use |⋅| in this problem to make the distinction clearer.
382 is the Answer... uploaded the solution
P is a point contained within a square ABCD, such that ∠DCP=20∘,∠DAP=25∘. What is the measure (in degrees) of ∠APB?
bro unable to solve..explanation plz
Three not necessarily distinct positive integers between 1 and 99, inclusive, are written in a row on a blackboard. Then, the numbers, without including any leading zeros, are concatenated to form a new integer N. For example, if the integers written, in order, are 25, 6, and 12, then N = 25612 (and not N = 250612). Determine the number of possible values of N.
What is the value of x? (A) 9x + 17y = 409 (B) x is prime number and y is an odd number
- The question can be answered by using either statement alone
- The question can only be answered by using both statement togeather
- The question can be answered by using one of the statement, but not by using the other alone
- The question cannot be answered even by using both the statement together
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