21⟩ There are two circles, one circle is inscribed and another circle is circumscribed over a square. What is the ratio of area of inner to outer circle?
1:2
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31 Quantitative Questions And Answers
22⟩ Each side of a rectangle is increased by 100% .By what percentage does the areaincrease?
300%.
100% of l=l
new length = l+l= 2l
new width = b+b= 2b
old area = l*b
new area = 2l * 2b
= 4lb
therfore increase in area= 400%
23⟩ What is the sum of all numbers between 100 and 1000 which are divisible by 14?
35392Explanation : The number closest to 100 which is greater than 100 and divisible by14 is 112, which is the first term of the series which has to be summed.The number closest to 1000 which is less than 1000 and divisible by 14 is 994,which is the last term of the series.112 + 126 + .... + 994 = 14(8+9+ ... + 71) = 35392.
24⟩ Pipe A can fill in 20 minutes and Pipe B in 30 mins and Pipe C can empty the same in 40mins. If all of them work together, find the time taken to fill the tank?
17 1/7 mins.
25⟩ Three cards are drawn at random from an ordinary pack of cards. Find the probability that they will consist of a king, a queen and an ace?
64/2210
26⟩ A fast typist can type some matter in 2 hours and a slow typist can type the same in 3 hours. If both type combinely, in how much time will they finish?
1 hr 12 minExplanation : The fast typist's work done in 1 hr = 1/2 The slow typist's work done in 1 hr = 1/3 If they work combinely, work done in 1 hr = 1/2+1/3 = 5/6 So, the work will be completed in 6/5 hours. i.e., 1+1/5 hours = 1hr 12 min.
27⟩ If a sum of money compound annually amounts of thrice itself in 3 years. In how many years will it become 9 times itself?
6 Years.
28⟩ If time at this moment is 9 P.M., what will be the time 23999999992 hours later?
1 P.M.24 billion hours later, it would be 9 P.M. and 8 hours before that itwould be 1 P.M.
29⟩ Can you tender a one rupee note in such a manner that there shall be total 50 coins but none of them would be 2 paise coins?
45 one paisa coins, 2 five paise coins, 2 ten paise coins, and 1 twenty-five paise coins
paisa no. of coins
1 40 = 40
5 8 = 40
10 2 = 20
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50 100
30⟩ If s(a) denotes square root of a, find the value of s(12+s(12+s(12+ ...... upto infinity?
4 Explanation :
Let x = s(12+s(12+s(12+..... )
We can write x = s(12+x). i.e., x^2 = 12 + x. Solving this quadratic equation, we get x = -3 or x=4. Sum cannot be -ve and hence sum = 4.
31⟩ There is a square of side 6cm . A circle is inscribed inside the square. Find the ratio of the area of circle to square?
11/14.
