Aptitude Practice Question and Answer
8 Q: The sum of weights of A and B is 80 kg. 50% of A's weight is $${5\over6}$$ times the weight of B. Find the difference between their weights.
1432 064ccef6ba919c8488e304799
64ccef6ba919c8488e304799- 120 kgtrue
- 210 kgfalse
- 325 kgfalse
- 415 kgfalse
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Answer : 1. "20 kg"
Explanation :
Let's denote the weight of A as 𝑥x kg and the weight of B as 𝑦y kg.
Given:
- 𝑥+𝑦=80x+y=80 (Sum of weights of A and B is 80 kg)
- 0.5𝑥=56𝑦0.5x=65y (50% of A's weight is 5665 times the weight of B)
We can solve these two equations to find the values of 𝑥x and 𝑦y, and then calculate the difference between their weights.
From equation 2: 0.5𝑥=56𝑦0.5x=65y Multiply both sides by 2 to get rid of the fraction: 𝑥=56𝑦×2x=65y×2 𝑥=106𝑦x=610y 𝑥=53𝑦x=35y
Now substitute this expression for 𝑥x into equation 1: 53𝑦+𝑦=8035y+y=80 83𝑦=8038y=80 Multiply both sides by 3883: 𝑦=80×38y=80×83 𝑦=30y=30
Now that we have found the weight of B, we can find the weight of A using equation 1: 𝑥+30=80x+30=80 𝑥=80−30x=80−30 𝑥=50x=50
So, the weight of A is 50 kg and the weight of B is 30 kg.
Now, let's find the difference between their weights: Difference=Weight of A−Weight of BDifference=Weight of A−Weight of B Difference=50−30Difference=50−30 Difference=20Difference=20
Therefore, the difference between their weights is 20 kg.
Q: In the given figure if each of the outer circles have radii ‘R’, then the radius of the inner circle will be:
1432 060b70e3f2f692872ec8cf7cc
60b70e3f2f692872ec8cf7cc- 1$$ {2\over ({\sqrt{2}+1})R}$$false
- 2$$ {1\over {\sqrt{2}}}R$$false
- 3$$ {(\sqrt{2}-1)R}$$true
- 4$$ {\sqrt{2}R}$$false
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Answer : 3. "$$ {(\sqrt{2}-1)R}$$"
Q: If three numbers are in the ratio 2:3:5 and the twice their sum is 100. Find the square of the largest of the three numbers.
1432 06073fb3836363c0f94b86650
6073fb3836363c0f94b86650- 1225false
- 2625true
- 325false
- 4100false
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Answer : 2. "625"
Q: Find the area of a white sheet required to prepare a cone with a height of 21cm and the radius of 20cm.
1432 05ee9a0a9109b5d6e01625396
5ee9a0a9109b5d6e01625396- 1$$ {3080}cm^2$$true
- 2$$ {2300}cm^2$$false
- 3$$ {3460}cm^2$$false
- 4$$ {3600}cm^2$$false
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Answer : 1. "$$ {3080}cm^2$$"
Q: In two types of brass ratio of copper and zinc are 8: 3 and 15: 7 respectively. The ratio in which these two types of brass should be mixed, so that the ratio of copper and zinc in this new type of brass become 5: 2 is
1432 0611e1ffc08d7b65efee7401c
611e1ffc08d7b65efee7401c- 17: 4false
- 22: 3false
- 35: 2true
- 43: 2false
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Answer : 3. "5: 2"
Q: A kite is flying in the sky. The length of string between a point on the ground and kite is 420 m. The angle of elevation of string with the ground is 30o. Assuming that there is no slack in the string, then what is the height (in metres) of the kite?
1431 05f2bd3a8cef453383f227986
5f2bd3a8cef453383f227986- 1$$ {210\sqrt{3}}$$false
- 2240false
- 3$$ {240\sqrt{3}}$$false
- 4210true
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Answer : 4. "210"
Q: The angle of elevation of the top of two vertical towers as seen from the middle point of the line joining the foot of the towers are 60° and 30°, respectively. The ratio of the heights of the tower is
1431 05dca95b845ad6b59c82bb7fe
5dca95b845ad6b59c82bb7fe- 12 : 1false
- 2√3 : 1false
- 33 : 2false
- 43 : 1true
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Answer : 4. "3 : 1"
Q: In an exam of 100 marks, the average marks of a class of 40 students are 76. If the top 3 scorers of the class leave, the average score falls “down by 1. If the other two toppers except “the highest topper scored not more than 85. “then what is the minimum score the topper can score?
1431 061b1eacd45c0db34860a5206
61b1eacd45c0db34860a5206- 186false
- 298false
- 395true
- 492false
- 5None of thesefalse
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