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111. The price of sugar is increased by 20%. As a result, a family decreases its consumption by 25%. The expenditure of the family on sugar will be decreased by :

Answer: 10%

Explanation:

Here is no explanation for this answer

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112. In an examination, 35% of total students failed in Hindi, 45% failed in English and 20% in both. The percentage of these who passed in both the subjects is :

Answer: 40%

Explanation:

Students fail in Hindi or English: 35+45-20=60

Therefore, pass = 100-60=40 => 40%

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113. The average weight of 3 men A, B and C is 84 kg. Another man D joins the group and the average now becomes 80 kg. If another man E, whose weight is 3 kg more than that of D, replaces A then the average weight of B, C, D and E becomes 79 kg. The weight of A is :

Answer: 75 kg

Explanation:

Weight for 3 men (A+B+C) = 84*3 = 252 -------- (i)
Weight of 4 men (A+B+C+D) = 80*4 = 320 ------- (ii)
So, D's weight = (320-252) = 68 kg (by solving eq. (i) & (ii))
then E's weight = (68+3) = 71 kg
Now, B+C+D+E = 79*4=316.....(iii)
B+C+68+71=316 => B+C = 177.....(iv)
Put value (B+C) in eq. (i)
A=(252-177) = 75kg

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114. The average of five results is 46 and that of the first four is 45. The fifth result is :

Answer: 50

Explanation:

total result of 5 = 46*5 = 230
and first four result = 45*4 = 180
so fifth result = (230-180) = 50

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115. A train travels at an average of 50 miles per hour for 2x1/2 hours and then travels at a speed of 70 miles per hour for 1x1/2 hours. How far did the train travels in the entire 4 hours?

Answer: 230 miles

Explanation:

Total distance=50*5/2+70*3/2= 230miles

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116. A, Band C enter into a partnership by investing in the ratio of 3 : 2: 4. After 1 year, B invests another Rs. 2,70,000 and C, at the end of 2 years, also invests Rs.2,70,000. At the end of three years, profits are shared in the ratio of 3 : 4 : 5. Find initial investment of each.

Answer: Rs. 2,70,000, Rs. 1,80,000, Rs. 3,60,000

Explanation:

A, B and C partnership ratio = 3 : 2: 4.
or 3x, 2x and 4x respectively.
Given, Investment of A remains same for 3 years.
So, Total investment for 3 years = 3*3x=9x
Relative Investment of B for 3 years = 2x*3 +270000*2
Relative investment of C = 4x*3 + 270000*1

As per given condition
(6x +540000) /( 12 X + 270000) = 4/5
=> x= 90,000
so initial investments were
Rs. 2,70,000, Rs. 1,80,000 and Rs. 3,60,000

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117. what is vale of a if a is integer?
1. a^4=1
2. a^3+1=0

Answer: -1

Explanation:

a^3+1=0=> a^3=-1

if a^3 is -1 then a must be (-1)^3=-1
(-1)^4 = 1
=> a=-1.

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118. A does 4/5 of work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work?

Answer: 37 1/2 days.

Explanation:

A can do 4/5th works in 20 days.
so he can do the whole work in 20*(5/4) =25 days.
remaining work after done 4/5 by A is=1-(4/5)=1/5
(A+B) can do the 1/5th work in 3 days.
means the can do the whole work in (3*5)=15 days.
so,(A+B)'s 1 days work=1/15
B's 1 day's work {(1/15)-(1/25)}=2/75
so B can alone do the whole work in 75/2,means in 37 1/2 days.

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119. A reduction of 21% in the price of wheat enables a person to buy 10.5 kg more for Rs. 100. What is the reduced price per kg ?

Answer: Rs. 2

Explanation:

Here is no explanation for this answer

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120. A single discount % equal to three successive discounts of 30%, 20% and 10%.

Answer: 49.60%

Explanation:

(30% of 100)+20% of (100 - 30% of 100)+10% of (70 - 20% of(100 - 30% of 100)
so
=> 30+14+5.6 = 49.6%

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