# MATHS, REASONING & DI Dr. T.K. Jain. AFTERSCHOOOL M:

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MATHS, REASONING & DI Dr. T.K. Jain. AFTERSCHOOOL M: 9414430763

Let us assume H =3, R =3 Total volume: 1/3*3.1428*9*3 =28.28
A right circular code of height H is cut by a plane parallel to base at a distance H/3 from base, then volumes of resulting cones and frustum are in ratio? Let us assume H =3, R =3 Total volume: 1/3*3.1428*9*3 =28.28 Now new cone: 1/3*3.1428*4*2 = 8.38 Ratio 8.38: 19.9 Or approx. .4: 1 or 1:2.5

Which one of the following cannot be ratio of angles in right angle triangle?
1:2:3 1:1:2 1:3:6 None of these In first we get 30,60, 90, in 2nd 45,45,90, in 3rd, we get 18,54,108. thus 3rd is not the case of right angle triangle.

That means, there are 2 rows left in between (out of 4 rows).
A cube of 12 centimeter is painted red on all faces, then cut into smaller cubes, each of the side 3 cm. what is the total no. of smaller cubes having none of their faces painted? 4*4*4 = 64 12/3 will give you 4 64 are total cubes. In front we have 4*4 = 16 cubes. 16 are in back side (all these are painted). That means, there are 2 rows left in between (out of 4 rows). Thus we have 2*2*2 = 8 cubes unpainted.

The radius of a circle is 6 cm
The radius of a circle is 6 cm. perpendicular distance from centre of circle to the chord (which is 8 cm. in length) is ? 6^2 – 4^2 = Sq. root of 20 =2 *5^1/2 ans.

BOC is double of BAC BAC is 60 degree BOC is 120 degree.
An equilateral triangle ABC is inscribed in a circle with centre O. What is the measure of angle BOC? BOC is double of BAC BAC is 60 degree BOC is 120 degree.

Let us assume that the radii of these circles are X & Y.
2 circles touch each other externally. The sum of their areas is 130 pi. Sq.cm. distance between their centres is 14 cm. what is the radius of smaller circle? Let us assume that the radii of these circles are X & Y. X^2 +Y^2 = 130 X+Y =14 Let us try for 3 & 11, the total is 14 & sum of squares is 121 thus radius of smaller circle is 3 ans.

Applying hero’s formulae. S = ½ (13+14+15) = 21
A traiangle with sides 13,14, 15 is incribed in a circle. What is the radius of the circle? Applying hero’s formulae. S = ½ ( ) = 21 Area of triangle = sq.root (21*8*7*6) =84 Radius = Area of triangle / S =84/21 = 4 ans.

The chord of length 14 cm is at a distance of 6 cm from centre of circle. Length of another chord at a distance of 2 cm from centre of circle is ? Let us find radius of circle. 7^2 +6^2 = = square root of 85 Length of half the chord is square root of (85-4) = 81 = 9 Thus length of chord is 18 Cm ans.

Applying pythogores theorem, we are able to get half the tangent
Distance between centre of two equal circles of radius 3 each is 10 cm. What is the length of transverse tangent? Applying pythogores theorem, we are able to get half the tangent 5^2 – 3^2 =square root (16) Thus transverse =8 Ans.

Three equal circles touch each other
Three equal circles touch each other. What is the ratio of area of circle circumscribing these 3 circles to circle? Let us assume radius of circles to be 7 We have an equilateral triangle Joining the centres of three circles. Thus side of equilateral triangle is 14 Circim centire = 7/3^1/2 Radius of bigger circle is 7/ Radius are in the ratio 7: 15.08 Thus their areas are in the ratio: 49:227 approx.

8 6 Find hypoteneuse: 8^2 +6^2 = sqrt (100) = 10 Let us assume radius
There is a right angle triangle of side 6 & 8 and a hypoteneuse. One circle is incribed into it. What is the radius of circle? Find hypoteneuse: 8^2 +6^2 = sqrt (100) = 10 Let us assume radius Of circle = X (8-x) + (6-X) = 10 14-2x = 10 2x = 4 x = 2 ans. 8 6

In a cyclic quadrilateral the opposite angles are always?
Supplementary (when we add them, the total will be 180 degree always).

What is the radius of a circle circumscribing an equilateral triangle of side 10?
10/3^1/2 =10/1.732 =5.77 approx. ans.

What is the radius of a circle inscribed an equilateral triangle of side 10?
10 / (2*1.732) =2.88 ans.

let us try from options: If we take 10, radius is 5 5^2 – 3^2 = 4^2
A circle has 2 parallel chords of lengths 6 & 8 and are 1 cm apart and are on the same side of centre. What is diameter of circle? 5/7/10/12 let us try from options: If we take 10, radius is 5 5^2 – 3^2 = 4^2 5^2-4^2 = 3^2 Thus the distance from centre to nearest chord is 3 & to the other chord is 4 and distance between chords is 1 (condition met). Thus diameter is 10 ans.

How many jobs are there in media planning?
Total (numbers) 1500 Media planning 13 Production 27 Creative design 26 Client Servicing 22 Others 12 Total (in %) 100

Total (numbers) 1500 Media planning 13 Production 27 Creative design
From the total vacancies, creative design & client servicing jobs, each is reduced by 10% to increase vacancies in media planning. How many jobs are available in media planning now? Total (numbers) 1500 Media planning 13 Production 27 Creative design 26 Client Servicing 22 Others 12 Total (in %) 100

Answer: There are 195 jobs for media planning. There are 390 jobs for creative design and 330 jobs for client servicing. When we reduce these by 10% each, we are getting 39 and 33 jobs from these. Now total jobs are = 267 jobs. Ans.

(ml. ton) Rice Sugar 2000-1 50 100 2001-2 75 125 2002-3 150 2003-4 175
How much is the average production of rice, compared to average production of sugar? (ml. ton) Rice Sugar 2000-1 50 100 2001-2 75 125 2002-3 150 2003-4 175 2004-5

Answers: Average production of sugar is 145 million tonnes, average production of rice is 100 million tonnes. Thus average production of rice is 69% of that of sugar.

(ml. ton) Rice Sugar 2000-1 50 100 2001-2 75 125 2002-3 150 2003-4 175
If production of sugar and rice in increases by 10% &12% respectively over their production in , by what % will the combined production of rice and sugar in be higher when compared to previous year? (ml. ton) Rice Sugar 2000-1 50 100 2001-2 75 125 2002-3 150 2003-4 175 2004-5

Answer Total production of rice and sugar was 325 million tonnes in but it will be million tonnes in thus there will be increase of 10.9%

What is the average production fo sugar in ml. tonnes?
Rice Sugar 2000-1 50 100 2001-2 75 125 2002-3 150 2003-4 175 2004-5

The table below gives details of value of pearl exports from India to various countries.
in \$ million 2000 2004 US 4.25 6 UK 0.75 1.25 CHINA 1.5 2 germany 2.5 3.25 France 1.75 2.25 Italy 0.5 Switzerland

Total exports in 2008 is estimated to be \$15 million, what is the share to the US.
in \$ million 2000 2004 US 4.25 6 UK 0.75 1.25 CHINA 1.5 2 germany 2.5 3.25 France 1.75 2.25 Italy 0.5 Switzerland

3456 is coded as ROPE, 15526 is coded as APPLE, how is 54613 coded?
POEAR ans.

2 = P, 3 = N, 9=Q, 5=R, 4=A, 6=B, What is 599423? RQQAPN ans.

A>G>K/J>N Thus Anil is tallest.
Gopi is shorter than Anil, but taller than Kamal. Nalin is shorter than Kamal, Jayant is tller than Nalin, Anil is taller than Jayant. Who is tallest? A>G>K/J>N Thus Anil is tallest.

Let C = 2 B = 9, A = 18, D = 4, E = 8, Thus C is lightest.
A weighs twice B, B weighs 4.5 times C, C weights ½ D, D weighs ½ E, E ‘s weight is less than A but more than C. who is lightest? Let C = 2 B = 9, A = 18, D = 4, E = 8, Thus C is lightest.

ABCDE are typical Bikaneris and play cards
ABCDE are typical Bikaneris and play cards. At one point all had equal points. A lost and his points were shared by all others equally. Now B & C also lost and their points were shared by others equally. In the last round D also lost and now E had his points also. E now had 200 points. How many points did B have after A’s debacle? ABCDE all had 40 points each. A lost and distributed points to BCDE – 10 each. Now all had 50 points each. B & C lost and now DE had 100 each. Finally E had 200 points. Answer is 50 points.

By mistake the signs are misplaced, find out the correct signs: .5 -4-5*20+2/5*2(3-6)=0

Find the missing value? 6 8 5 7 4 3 ? 120 126 320

Find missing value? 5 6 7 3 4 9 10 11 345 460 ?

Find the missing value? 28 60 48 5 6 7 14 39 27 ? 16

I. Mechanical engineers are expected to be better performers
'mechanical engineer,-we want you as our supervisor." :—An advertisement by company – which are / is valid assumptions? I. Mechanical engineers are expected to be better performers 'II. The-company needs supervisors.

Answer: IInd assumption is valid assumption.

I. The consumption of sugar per capita has increased in India.
Even with the increase in the number of sugar factories in India, we still continue to import sugar. Which is / are valid assumptions? I. The consumption of sugar per capita has increased in India. II. Many of the factories are not in a position to produce sugar to their fullest capacity.

Answers: An assumption is the fact which has not been mentioned in the statement, but it is assumed to be true – and it is not an inference, argument or conclusion. Thus first statement is an assumption, but 2nd statement cannot be an assumption.

Be humble even after being victorious
Be humble even after being victorious.- says a notice which is valid assumption? I. Many people are humble after being victorious. II. Generally people are not humble.

Answer: Only 2nd statement is assumption – that is why the notice says people to be humble – otherwise there was no need of such a notice.

If the statement 'Some teachers are not learned' is false, which of the following is false ? (a) All teachers are learned. (b) Some learned beings are teachers. (c) Some teachers are learned. (d) All learned beings are teachers. (e) None of these

Which conclusion is valid?
Statements: 1. All knowledge is good. 2. All knowledge is difficult. Conclusions : (1) Some good things are difficult. (2) All difficult things are knowledge. (3)All good things are difficult. (4)Easy things are not knowledge.

Answer: Statement no. 1 is valid.

At what time are the hands of a clock together between 6 & 7?
30 *60 /55 = ans.

Rajesh went out between 5 & 6 and returned between 6 & 7
Rajesh went out between 5 & 6 and returned between 6 & 7. He found that hand of the clock had exactly changed places. When did rajesh go out? 27 minutes past 5 pm approx.

A man is facing south, he turns 135 degree anticlock wise, then 180 degree clockwise. Which direction is he facing now? South west.

A man is facing north-west
A man is facing north-west. He turns 90 degree clockwise, then 135 degree anticlockwise. Which direction is he facing? West

A man is facing north west
A man is facing north west. He turns 90 degree clockwise, then 180 anticlockwise, then 90 degree in same direction. Which direction is he facing now? South east (answer)

333 of a number is. 002 of another
.333 of a number is .002 of another. What is the ratio of these 2 numbers? Let us take the common number to be 300. First number .333X = 300 X = 900 2nd number .002 Y = 300 Y = 300/.002 = 9:1500 Or 3:500 ans.

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