81. If the radius of a circle is increased by 20% then the area is increased by:
Answer: 44%
Explanation:Let say radius = ?r^2 = ?10^2 = 100?
New radius = 10 * 120% = 12
New area = ?12^2 = 144?
Increment = [(144??100?)/100?]*100 = 44%
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82. A box contains 90 bolts each of 100 gm and 100 bolts each of 150 gm. If the entire box weighs 35.5 kg., then the weight of the empty box is :
Answer: 11.5 kg
Explanation:Lets assume the weight of Empty box = x Kg.
90 * 0.100 + 100 * 0.150 + x = 35.5
Then x = 11.5 kg
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83. The average age of 10 members of a committee is the same as it was 4 years ago, because an old member has been replaced by a young member. Find how much younger is the new member?
Answer: 40 years
Explanation:Lets assume the average of all 10 members 4 years ago = x years.
After 4 years, 10 members age increases by 10*4 = 40 years.
Conditon given: There is no change in the average as a person is replaced by an younger one.
=> The younger one age is 40 years less than the old one.
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84. When Raja was born, his father was 32 years older than his brother and his mother was 25 years older than his sister. If Raja's brother is 6 years older than Raja and his mother is 3 years younger than his father, how old was Raja's sister when Raja was born?
Answer: 10 years
Explanation:Given, Raja's brother 6 year old when Raja was born.
His father's age = 32 + 6 = 38 year
His mother's age = 35 year
His sister age = (35 -25) = 10 years
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85. A class consists of 100 students, 25 of them are girls and 75 boys; 20 of them are rich and remaining poor; 40 of them are fair complexioned. The probability of selecting a fair complexioned rich girl is
Answer: 1/50
Explanation:The probability of selecting girl is: 25/100 = 1/4
The probability of selecting rich is: 20/100 = 1/5
The probability of selecting fair complexioned is: 40/100 = 2/5
Three are independent:
So, probability of rich and fair complexioned girl is = (1/4) *(1/5)* (2/5) = 1/50
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86. If one-third of one-fourth of a number is 15, then three-tenth of that number is:
Answer: 54
Explanation:Lets assume number = x
so, 1/4(1/3 x ) = 15
=> x = 180
so three-tenth of that number = 3/10 * 180 = 54
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87. 100 oranges are bought at the rate of Rs. 350 and sold at the rate of Rs. 48 per dozen. The percentage of profit or loss is:
Answer: 100/7% gain
Explanation:C.P. of 100 orange=350
S.P. of 12 is 48 i.e, 4 of each now of 100 will be 400
So profit = 400 - 350 = 50
Profit = profit * 100% cp = 100/7% gain
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88. There are two bags A and B. A contains 6 red flowers and 3 pink flowers. where as bag B contains 2 red flowers and 7 pink flowers. One flower is chosen from a bag randomly. What is the probability that the flower chosen is pink?
Answer: 5/9
Explanation:Given Bag A contain 6 red & 3 pink => total ball = 9
Bag B contain 2 red & 7 pink => total ball = 9
Probability of picking 1 pink from bag A = 3/9
Probability of picking 1 pink from bag B = 7/9
Total = 3/9 + 7/9 = 10/9
And probability of selecting a bag is 1/2
So, probability of choosing a pink flower = [(1/2)* (10/9)] = 5/9
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89. At 6'o a clock ticks 6 times. The time between first and last ticks is 30 seconds. How long does it tick at 12'o clock
Answer: 66 sec.
Explanation:For ticking 6 times, there are 5 intervals.
Each interval has time duration of 30/5 = 6 sec.
At 12 o'clock, there are 11 intervals,
So total time for 11 intervals = 11*6 = 66 sec.
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90. One year payment to the servant is Rs. 200 plus one shirt. The servant leaves after 9 months and receives Rs. 120 and a shirt.Then find the price of the shirt.
Answer: Rs. 120
Explanation:Servant (1 year) or (12 months) payment = (Rs. 200 + shirt) ------(1)
Servant recieve payment after 9 months = (Rs 120 + shirt) --(2)
By eq. (1) and (2)
3 months = Rs. 80
So, 12 months = (80 * 12)/3= 320
By eq. (1)
200 + shirt = 320
=> shirt price = Rs. 120
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