Aptitude Practice Question and Answer
8 Q: If x1 and x2 are the roots of the equations bx2-ax + log2my=0 such that x12=a2+x22 then evaluate the roots in terms of a and b.
1770 0600e929e377d750b4eb49c40
600e929e377d750b4eb49c40- 1$$ {a\over2ab}{(a^{2}+1)},{a\over2ab}{(1-b^{2})}$$true
- 2$$ {a\over2b}{(b^{2}+1)},{a\over2b}{(1-a^{2})}$$false
- 3$$ {a\over2ab}{(b^{2}-1)},{a\over2ab}{(1-b^{2})}$$false
- 4$$ {a\over2b}{(b^{2}+1)},{a\over2b}{(1-b^{2})}$$false
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Answer : 1. "$$ {a\over2ab}{(a^{2}+1)},{a\over2ab}{(1-b^{2})}$$"
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.
1769 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: If x cos2300. sin600=$${tan^2{45}^0.sec60^0}\over cosec\ 60^0$$ then the value of x :
1769 05dd22cb174ffed5e1f41cf54
5dd22cb174ffed5e1f41cf54- 1$$ 1\over \sqrt { 3} $$false
- 2$$ 2{2\over 3} $$true
- 3$$ 1\over \sqrt { 2} $$false
- 4$$ {1\over 2} $$false
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Answer : 2. "$$ 2{2\over 3} $$"
Q: The lateral surface area of a cylinder is 792cm2. If its height is 14cm, then its volume (in cm3) is? [Take π = 22/7 ]
1769 0606d5678556643278a79a9ae
606d5678556643278a79a9ae- 12564false
- 23929false
- 31243false
- 43564true
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Answer : 4. "3564"
Q: A shopkeeper has certain number of eggs of which 5% are found to be broken. He sells 93% of the remainder and still has 266 eggs left. How many eggs did he originally have?
1768 060545cdc2a8e8355ed6c0458
60545cdc2a8e8355ed6c0458- 13800false
- 24000true
- 34200false
- 4None of thesefalse
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Answer : 2. "4000"
Q: If today is Sunday, what will be the 59th day after today?
1768 063109990d9ac741324b7fe49
63109990d9ac741324b7fe49- 1Wednesdaytrue
- 2Tuesdayfalse
- 3Saturdayfalse
- 4otherfalse
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Answer : 1. "Wednesday"
Q: A wall is the form of a trapezium with height 8 m and parallel sides being 5 m and 10 m. What is the cost of painting the wall, if the rate of painting is Rs. 50 per square meter ?
1768 05ef055a07cd71c7944696a50
5ef055a07cd71c7944696a50- 1Rs.5000false
- 2Rs.3000true
- 3Rs.6000false
- 4Rs .4000false
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Answer : 2. "Rs.3000"
Q:Directions : Given line graph shows the data of male & female population in 5 different cities. Read the data carefully and answer the questions.
By what percent total population of city A is more or less than that of city D?
1767 060408744e759ac364c93e39d
60408744e759ac364c93e39d- 145%false
- 235%false
- 370%false
- 430%true
- 560%false
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