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complete the series ? 126 161 63 71 79 25 29 33 37 8 10 12 14 16 1 2 3 4 5 6
5 General Aptitude 7370find the smallest no in gp whose sum is 38 and product is 1728 a. 12 b. 20 c. 8 d. none of these
4 General Aptitude 9069a boat travels upstream 20km in 6 hrs and 18 km downstream in 4hrs find the speed of boat in still water a.1/2kmph b. 7/12kmph c.5kmph d.none of these
3 General Aptitude 8933A BOX CONTAIN 10 PINK BALLS 5 RED BALLS 6 GREEN BALLS. HOW MANY BALLS SHOULD BE DRAWN SO THAT ATLEAST ONE OF EACH COLOUR IS SELECTED.
4 General Aptitude 5935OUT OF 111 MARBLES ONE IS NOT OF SAME WEIGHT. HOW TO FIND AND GIVE THE MIN. NO OF STEPS
3 General Aptitude 5312DIRECTIONS for Questions 3 and 4: Answer the questions on the basis of the information given below. In an examination, there are 100 questions divided into three groups A, B and C such that each group contains at least one question. Each question in group A carries 1 mark, each question in group B carries 2 marks and each question in group C carries 3 marks. It is known that the questions in group A together carry at least 60% of the total marks. DIRECTIONS for Questions 3 and 4: Answer the questions on the basis of the information given below. In an examination, there are 100 questions divided into three groups A, B and C such that each group contains at least one question. Each question in group A carries 1 mark, each question in group B carries 2 marks and each question in group C carries 3 marks. It is known that the questions in group A together carry at least 60% of the total marks. If group B contains 23 questions, then how many questions are there in group C?
2 CAT 8984Consider the sequence of numbers a1, a2, a3, ..... to infinity where a1 = 81.33 and a2 = -19 and aj = aj-1 -aj-2 for j ≥ 3. What is the sum of the first 6002 terms of this sequence?
CAT,
1 General Aptitude 6510Let C be a circle with centre P0 and AB be a diameter of C. Suppose P1 is the mid point of the line segment P0B, P2 is the mid point of the line segment P1B and so on. Let C1, C2, C3, ...... be circles with diameters P0P1, P1P2, P2P3 ... respectively. Suppose the circles C1 C2, C3, .... are all shaded. The ratio of the area of the unshaded portion of C to that of the original circle C is
CAT,
4 General Aptitude 12088
We have 2 poles 5 m and 7 m height ropes are connected from
top of one to tthe bottem of another find the intersection
height of those poles.
Answer
of one to bottom of other. at what heightthe two wires will
cross
We will use algebra and an x-y coordinate axis to solve this
problem. Let the pole of 5 m be located at the origin, so
the two ends of that pole are at (0,0) and (0,5). Let the
pole of 7 m be located on the x-axis at a distance of a to
the right of the first pole, so the two ends of that pole
are at (a, 0) and (a,7). The problem does not state the
distance between the poles, so we let that equal an unknown
constant "a" for now. We will find out later that the value
of "a" is irrelevant.
So we want to draw two lines, one from the base of one to
the top of the other and vice versa.
Line 1: Points (0,0) and (a,7)
Slope of line 1: m = 7/a
Intercept of line 1: b = 0
Equation of line 1: y = (7/a) x
Line 2: Points (0,5) and (a,0)
Slope of line 2: m=-5/a
Intercept of line 2: b = 5
Equation of line 2: y = (-5/a)x + 5
The point where these lines meet is the place where the
wires cross!
Solve equation 1 for x:
x = (a/7) y
Substitute this into equation 2:
y = (-5/a) (a/7) y + 5
Notice that a cancels out!
y = (-5/7)y + 5
(12/7) y = 5
12y = 35
y = 35/12 = 2.912
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