A man moving at a speed of 36kmph covered the shadow of a tower of height 75m in 3 seconds. If the height of the person is 1.75m, the length of the shadow cast by the man is meters is?
Ans=10
There is a plot in the shape of an equilateral triangle. A flagstaff is erected at the midpoint of one of its sides. The angles of elevation of the top of the flagstaff from two of the vertices of the plot are 45 degree each. Find the height of the flagstaff (in metres) if the length of one of the medians of the plot is 60* root3 m.
Find the value of
9[sin(5pi/2 - x)^4 + sin(6pi + x)^4] - 6[sin(3pi/2 + x)^6 + sin(7pi - x)^6].
Now this can be solved using identities but would take around 3 minutes. I substituted x by 0 and got the correct answer.
From what I understand, any value of x should work here. Is this correct?
Something similar once (recently) came in CAT!
A + B + C = 24, where A, B, C are positive integers and (A + B) > 10. How many solutions exist?
Just recollected having seen something similar somewhere.
A person finishes a job usually in 64 days. Recently his efficiency has started fluctuating in the following manner: it turns 1/8th of his usual on the beginning of first day, 2/8th of his usual on the second day, 4/8th of the usual on the third day, and so on. On which day will he finish the job?
Question no 8 and 9 can anyone help me with?
Find the range of ((cosec x)^2 + cot x)/((cosec x)^2 - cot x)
Options:
a)(2,3)
b)(1,3)
c)[1/3,4]
d)[1/3,3]
If x^2 + y^2 <= 36, find the number of ordered pairs of (x,y) that satisfy the equation:
cot(45x)^4 + tan(45x)^4 + 3 = 5sin[90(y+1)]^2 (Angles given in this equation are in degrees)
Options:
a) 24
b) 26
c) 12
d) 13
Some kind soul please help me out with my previous post :(
Two ants start simultaneously from 2 ant holes towards each other. The first ant covers 8% of the distance b/w the 2 holes in 3 hours. The second ant covered 7/120 of the distance in 2.5 hrs. Find the speed of the second ant if the first ant covered 800 feet to the meeting point.
Some geometry practice! Rectangle A-B-C-D is inscribed in a circle with centre O. AB > BC. T is a point on CD such that angle CBT = angle OBA. If the ratio of area of rectangle to area of circle is root7:2pie, find the ratio BC:CT.
Please provide detailed solution!
How to solve question 45?
What is the logic in 33?
.
Can I prepare for CAT at home?
Need some advice. I have been giving TIME RC Tests. It consists of 3 RCs to be done in 30 minutes. I have been getting correct answers in the first two RCs I attempt and third one has around 50% accuracy most of the time.
Any tips for this? Should I do two tests one after the another or should I keep focussing on reading more?
If ‘m’ Harmonic Means are inserted between a and b, where ‘m’ is a root of the equation (1 – ab) x^2 – (a^2 + b^2)x – (1 + ab) = 0, then the difference between the last and the first Harmonic means is
1 (b – a)
2 ab(b – a)
3 a(b – a)
4 ab(a – b)
.