41. find the number that can be put in place of the question mark
5,6,?,87,412,2185.
Answer: 20
Explanation:series in the form of 5*1+1^3=6,6*2+2^3=20,20*3+3^3=87,87*4+4^3=412,412*5+5^3=125.
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42. Find the no of zeros in the product of 1^1*2^2*3^3*.....*49^49?
Answer: 250
Explanation:2*5=10
5^5 5 times 5
10^10 10 times 5
15^15 15
......
25^25 50
.....
5+10+15+20+2*25+30+35+40+45=250
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43. A boy buys 18 sharpeners (brown or white) for Rs. 100. For every white sharpener, he pays one rupee more than the brown sharpener. What is the cost of white sharpener & how much did he buy?
Answer: 6, 10
Explanation:Assume that he bought b, brown sharpeners and w, white sharpeners and the cost of brown sharpener is x and white sharpener is x + 1
So w(x+1) + bx = 100
w + b = 18
b = 18 - w
Substituting in equation 1, we get w(x+1) + (18 -w)x = 100 so w + 18 x = 100
Take option 1: If white sharpners are 13, x = (100 - 13) /18 = 4.833
Option 2, If white sharpeners are 10, x = (100 - 10)/18 = 5 So white sharpeners cost is 6.
Option 3 Satisfies this condition.
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44. Fathers age is 5 times his son's age. 4 years back the father was 9 times older than son. Find the fathers present age.
Answer: 40 years.
Explanation:lets assume son age=x
fathers age=5x
4 years back, so (x-4)=(5x-4)
then father was 9 times older than son so, 9(x-4)=(5x-4).....(1)
solving eqn (1), x=8
and fathers age =8*5=40 years
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45. It was Sunday on Jan 1, 2006. What was the day of the week Jan 1, 2010
Answer: Friday
Explanation:Here is no explanation for this answer
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46. Three men rent a farm for Rs. 7000 per annum. A puts 110 cows in the farm for 3 months, B puts 110 cows for 6 months and C puts 440 cows for 3 months. What percentage of the total expenditure should A pay?
Answer: 14.28%
Explanation:A:B:C=110*3:110*6:440*3 = 3:6:12 = 1:2:4
share of A = 1/(1+2+4) * 7000 = 1000
% expenditure of A = 1000/7000 *100 = 100/7 = 14.28%
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47. The cost price of two types of tea are Rs. 180 per kg and Rs. 200 per kg respectively. On mixing them in the ratio 5:3, the mixture is sold at Rs. 210 per kg . In the whole transaction, the gain percent is
Answer: 12%
Explanation:Mixing ratio=5:3
1st type tea=5/8
2nd type of tea=3/8
therefore 1 kg of mixed tea price/kg=>180*(5/8)+200*(3/8)=187.5.
total profit=210-187.5=22.5
therefore % of profit=(22.5/187.5)*100=12%
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48. A circular tent is cylindrical to a height of 3 meters and conical above it. If its diameter is 105 m and the slant height of conical portion is 53m, calculate the length of the canvas 5 m wide to make the required tent?
Answer: 1947
Explanation:Surface area of Tent= surface area of the cylinder + surface area of the cone
=(2*pi*r*h)+ (pi*r*l)
=2*(22/7)*(105/2)*3+(22/7)*(105/2)*53
=9735 sq.m
l*b=9735
b=5m,
l=9735/5 => l=1947m
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49. A man is standing in front of a painting of a man, and he tells us the following: Brothers and sisters have I none, but this man's father is my father's son. Who is on the painting?
Answer: His son
Explanation:Here is no explanation for this answer
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50. A trader sells total 315 tv sets.he sells black and white tv sets at a loss of 6% and color tv sets at a profit of 15% thus he gains 9% on the whole.what are the no. of blak and white sets which he has sold?
Answer: 90
Explanation:Lets assume BW=x , colour=315-x (consider 1 rs PC per tv)
x{(100-6)/100}+(315-x){(100+15)/100} = 315+315*(9/100)
=> x=90
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