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[WpProQuiz 6764]
Directions (1 – 5): Study the following information carefully and answer the questions given below.
There are 4 villages A, B, C and D, which have some apple and pine trees. The ratio of apple and pine trees in these villages is 14: 15, 3: 4, 5: 4 and 6: 7 respectively. The difference between the apple and pine trees in village D is 21. The difference between apple trees between the village C and D respectively is 14. The ratio of the apple and pine trees in A and C respectively is 3: 4. The difference between the apple and pine trees in B and A respectively is 9.
1) Find the total number of pine trees in all the villages.
a) 418
b) 814
c) 184
d) 481
e) None of these
2) If 30% of pine trees in village A is planted in village B, then what will be the effect in total number of trees in village B?
a) 25% increase
b) 5% increase
c) 20% increase
d) 22% increase
e) None of these
3) The number of apple trees in D is what percentage more than the number of pine trees in A?
a) 40%
b) 140%
c) 20%
d) 120%
e) None of these
4) Find the difference between the average number of apple trees in A and D and the number of pine trees in B and C.
a) 34
b) 36
c) 17
d) 18
e) None of these
5) If all the trees in B are apple and 20% apple trees of village C is added to the apple trees in D, the apple trees in B is what percentage of number of apple trees in D?
a) 250%
b) 150%
c) 50%
d) 75%
e) None of these
6) A certain sum of money amounts to Rs2710.55 in three years and Rs2828.4 in 4 years in simple interest. Find the rate of interest.
a) 10%
b) 20%
c) 15%
d) 5%
e) None of these
7) Find the compound interest on the sum Rs3600 for 4 years at the rate of 4% per annum compounded annually.
a) Rs549.23
b) Rs754.32
c) Rs456.21
d) Rs265.87
e) None of these
8) The ratio of milk and water in container A is 5: 4 and in B is 5: 7. If this mixture was mixed together the ratio of milk and water in final mixture can be:
a) 35:37
b) 75:37
c) 23:65
d) Data inadequate
e) None of these
9) Pipes A, B and C can fill a tank in 20h. If pipe A and B alone can fill the tank in 80 h and 60 h respectively, find the time taken by C alone to fill the tank.
a) 12 h
b) 24 h
c) 48 h
d) 96 h
e) None of these
10) A bag contains 5 red balls, 6 blue balls and 7 pink balls. Two balls taken at random, find the probability that the balls are in same color.
a) 23/156
b) 46/153
c) 38/153
d) 41/153
e) None of these
Answers :
Direction (1 – 5):
The ratio of apple and pine trees in village,
A = 14: 15
B =3: 4
C = 5: 4
D = 6: 7
D:
The ratio = 6: 7 (6x, 7x)
Given that, 7x – 6x = 21
x = 21
Apple = 6 * 21 = 126
Pine = 7 * 21 = 147
C:
Apple = 126 + 14 = 140
Pine = (140/5) * 4 = 112
A:
The ratio of the apple and pine trees in A and C respectively = 3: 4
Apple = (112/4) * 3 = 84
Pine = (84/14) * 15 = 90
B:
Apple = 90+ 9 = 99
Pine = (99/3) * 4 = 132
1) Answer: d)
Required sum = 90 + 132 + 112 + 147 = 481
2) Answer: e)
Added trees = (30/100) * 90 = 27
Required percentage = (27/231) * 100 = 11.68%
3) Answer: a)
Required percentage = [(126 – 90)/90] * 100 = 40%
4) Answer: C
Required difference = [(132 + 112)/2]–[(84 + 126)/2] = 17
5) Answer: b)
Apple trees in B = 99 + 132 = 231
Apple trees in D = 126 + 140 * (20/100) = 154
Required percentage = (231/154) * 100 = 150%
Direction (6-10) :
6) Answer: d)
SI = pnr/100
SI for one year = 2828.4 – 2710.55 = Rs117.85
SI for 3 year = 117.85 * 3 = Rs353.55
p = 2710.55 – 353.55 = Rs2357
r = (117.85/2357) * 100 = 5%
7) Answer: e)
Compound interest = p (1 + r/100)n– p
CI = 3600 (1 + 4/100)4–3600
CI = Rs611.49
8) Answer: a)
Milk in A = 5/9
Water in A = 4/9
Milk in B = 5/12
Water in B = 7/12
In final mixture milk: water = (5/9 + 5/12): (4/9 + 7/12) = 35: 37
9) Answer: c)
Pipes fill the tank in one hour,
A + B + C = 1/20
A = 1/80
B = 1/60
C = 1/20 – 1/80 – 1/60
C = 1/48
Pipe C alone can fill the tank in 48 h.
10) Answer: b)
Probability = (5C2 + 6C2 + 7C2)/ 18C2
= (5 * 4 + 6 * 5 + 7 * 6)/ (18 * 17) = 46/153
