Q46. George and Mark can paint 720 boxes in 20 days. Mark and Harry in 24 days and Harry and George in 15 days. George works for 4 days, Mark for 8 days and Harry for 8 days. The total number of boxes painted by them ?
a) 252
b) 516
c) 348
d) 492
View Answer and Explanation
Ans. c
Capacities of these people as follows
G + M = 720/20 = 36
M + H = 720/24 = 30
H + G = 720/15 = 48
Now individual capacities are
G = 27 ; M = 9; H = 21
So 27 × 4 + 9 × 8 + 21 × 8 = 348
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Q47. Raj invested in Indigo, HUL and SBI shares at Rs. 300, Rs. 200 and Rs. 5 per share, 100 shares for Rs. 10000. The number of Indigo and HUL shares he bought are
a) 15,25
b) 23, 17
c) 17, 23
d) 17, 60
View Answer and Explanation
Ans. c
Let the number of shares of indigo , HUL and SBI be p,q and r respectively.
the total number of shares are 100 i.e.
p + q + r = 100 ………….(i)
And total amount is 10000 i.e. the sum of the amounts of p shares of Indigo=300 Rs , q shares of HUL=200 Rs and r shares of SBI=5 Rs
300p+200q+5r=10000 ……..(ii)
On solving two equations ,we get:
295p + 195q = 9500 (r term is to be cancelled by solving since we only need p and q.
By substituting options in the final equation, we get p=17 and q= 23.
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Q48. Determine the distance between the x-intercept and the z-intercept of the plane whose equation is
2x+9y-3z=18
a) 6.32
b) 10.82
c) 3
d) 5
A. (b)
View Answer and Explanation
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Q49. Joe counts 48 heads and 134 legs among the chicken and dogs in his farm. How many dogs does he have ?
a) 29
b) 21
c) 18
d) 19
A. (d)
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Q50. A bag contains 20 yellow balls, 23 green balls, 27 white balls. How many minimum balls one should pick out so that to make sure he gets at least 2 balls of all color ?
a) 48
b) 52
c) 60
d) 68
A. (b)
View Answer and Explanation
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I want solution for 155 question
Solution for Question 15:
The difference in 1 box = 45 – 27 = 18
Extra amount he has to pay to buy 27 boxes this year = 27 * 18 = 486$
Sol: 46
Let x, y & z be no of boxes George, Mark or Henry can paint in one day.
From given data,
20x + 20y = 720, ∴ x + y = 36 …(1)
24y + 24z = 720, ∴ y + z = 30 …(2)
15x + 15z = 720, ∴ x + z = 48 …(3)
Solving (1), (2) & (3),
x = 27
y = 9
z = 21
Now, to calculate no of boxes painted –
Boxes painted = 4x + 8y + 8z
Boxes painted = 4×27 + 8×9 + 8×21
Boxes painted = 108 + 72 + 168
Boxes painted = 348 boxes