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11 / 25
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
A58kg
B78 kg
C44 kg
DNone of these
Answer: Option C
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
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12 / 25
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?
A5 cms
B2 cms
C3 cms
D4 cms
Answer: Option C
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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13 / 25
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?
A30
B20
C19
D29
Answer: Option A
Explanation:Here is no explanation for this answer
ShortCut By :: BACHU VENKATA THARUN KUMAR(15)(21)(8)=(6)(21/3)*2(x)
x=30
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14 / 25
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?
A8
B12
C16
D20
Answer: Option B
Explanation:Here is no explanation for this answer
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15 / 25
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?
A42.86%
B40%
C34%
DNone of these
Answer: Option A
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%
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16 / 25
If a - b = 3 and a^2 + b^2 = 29, find the value of ab
A10
B12
C15
D18
ENone of these
Answer: Option A
Explanation:2ab = (a^2 + b^2) - (a - b)^2
= 29 - 9 = 20
ab = 10.
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17 / 25
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?
AContainer A (6 red, 4 blue)
BContainer B (60 red, 40 blue)
CEqual chances from each container
DNone of these
Answer: Option C
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
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18 / 25
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
A2
B5
C3
D4
Answer: Option A
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
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19 / 25
If m^2+m^-2=23;then what is the value of m^3+m^-3?
A110
B120
C101
D90
Answer: Option A
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
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20 / 25
If m=2- _/3
Find the value of:
(m^6+m^5+m^4+1)/m^3
A(61 - 5?3)
B(61 - 5?2)
C(60 - 5?3)
DNone fo these
Answer: Option A
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)
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