11. A, B, C and D go for a picnic. When A stands on a weighing machine, B also climbs on, and the weight shown was 132 kg. When B stands, C also climbs on, and the machine shows 130 kg. Similarly the weight of C and D is found as 102 kg and that of B and D is 116 kg. What is D's weight
Answer: 44 kg
Explanation:A+B=132
B+C=130
C+D=102
B+D=116
A+2B+C=262
B+C+2D=218
A+B-2D=44
132-2D=44
D=44
Workspace
Mu-Sigma
12. A cylinder is 6 cms in diameter and 6 cms in height. If spheres of the same size are made from the material obtained, what is the diameter of each sphere?
Answer: 3 cms
Explanation:The volume of the cylinder is Pi x r^2 x h = Pi x 3^2 x 6 = 54Pi
Volume of a cylinder is 4/3 x Pi x r^3
Now 54Pi = 12 x 4/3 x Pi x r^3
54 = 16 x r^3
r^3 = 54/16 = 27/8
r = 3/2
Therefore diameter is 3 cms
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Mu-Sigma
13. 15 men take 21 days of 8 hrs. each to do a piece of work. How many days of 6 hrs. each would it take for 21 women if 3 women do as much work as 2 men?
Answer: 30
Explanation:Here is no explanation for this answer
Workspace
Mu-Sigma
14. Four cities are connected by a road network as shown in the figure. In how many ways can you start from any city and come back to it without travelling on the same road more than once?
Answer: 12
Explanation:Here is no explanation for this answer
Workspace
Mu-Sigma
15. A survey of a village showed that 1 / 10 of the total population speak neither Hindi nor English. 1 / 5 of them cannot speak English and 3 / 7 of them cannot speak Hindi. What percentages of people know only one language?
Answer: 42.86%
Explanation:persons who can speak English = 1 - (1/5) = 4/5
persons who can speak Hindi = 1 - (3/7) = 4/7
persons who can speak any or both = 1 - 1/10 = 9/10
so total persons speak both = 4/5 + 4/7 - 9/10 = 33/70
persons speak any = 1 - 33/70 - 1/10 = 3/7
% = 300/7% = 42.86%
Workspace
Mu-Sigma
16. If a - b = 3 and a^2 + b^2 = 29, find the value of ab
Answer: 10
Explanation:2ab = (a^2 + b^2) - (a - b)^2
= 29 - 9 = 20
ab = 10.
Workspace
Mu-Sigma
17. 2 containers labeled A and B are filled with red and blue marbles in given quantities: -
Container RED BLUE
A 6 4
B 60 40
Each container is shaken vigorously. After choosing 1 of the container, without looking, draw out a marble. From which container you have the max probability of choosing a blue marble?
Answer: Equal chances from each container
Explanation:If any one choose container A then prob = (1/2)*(4/10)=1/5
If any one choose container A then prob = (1/2)*(40/100)=1/5
Workspace
Mu-Sigma
18. Below is a pseudo code Read x
While(x < 60)
write x
x = x*3
The last number in the sequence is 54, what has the user entered as the initial value of x
Answer: 2
Explanation:Given Last value int seq. = 54.
and in every Loop result multiplied By 3.
So By Backward Approach
54/3=18 => 18/3=6
=> 6/3=2.
So, The Starting Value Is 2
Workspace
Mu-Sigma
19. If m^2+m^-2=23;then what is the value of m^3+m^-3?
Answer: 110
Explanation:m^2+m^-2=23
=> (m + m^-1)^2 - 2 = 23
=> (m + m^-1) = 5
m^3+m^-3 = (m + m^-1)^3 - 3(m + m^-1) = 5^3 - 3*5 = 110
Workspace
Mu-Sigma
20. If m=2- _/3
Find the value of:
(m^6+m^5+m^4+1)/m^3
Answer: (61 - 5?3)
Explanation:m = (2 - ?3)
=> 1/m = (2 + ?3)
(m^6+m^5+m^4+1)/m^3
= m^3 + m^2 + m + 1/m^3
= (m + 1/m)^3 - 3(m +1/m) + m(m+1)
= 4^3 - 3*4 + (2-?3)(3-?3)
= 64 - 12 + 9 - 5?3
= (61 - 5?3)
Workspace
Mu-Sigma
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