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Welcome to Online Quantitative Aptitude Section in AffairsCloud.com. Here we are creating question sample in Quadratic Equations and Miscellaneous based on prelim pattern, which is common for SBI,IBPS, RBI,LIC, NICL and other competitive exams.

 Q(15) In the following questions two equations numbered I & II are given. You have to solve both equations and mark one of the options given below.
I. 30X² – 172X + 238 = 0
II. 33Y² – 146Y + 161 =0
1. X >Y
2. X <Y
3. X ≥ Y
4. X ≤ Y
5. X = Y or relationship cannot be established
Answer – 3. X ≥ Y
Explanation :
Solution:
X = 17/5, 14/6
Y =7/3, 23/11  I. 42X² + 271X + 437 = 0
II. 63Y² + 316Y + 396 = 0
1. X >Y
2. X <Y
3. X ≥ Y
4. X ≤ Y
5. X = Y or relationship cannot be established
Answer – 2. X <Y
Explanation :
X = 23/7, 19/6
Y = 22/9, 18/7  I. 110X² + 21X + 1 = 0
II. 345Y² + 53Y + 2 = 0
1. X > Y
2. X < Y
3. X ≥ Y
4. X ≤ Y
5. X = Y or relationship cannot be established
Answer – 2. X < Y
Explanation :
Solution:
X = 1/11, 1/10
Y =2/23, 1/15  I. X² 27√5X + 910 = 0
II. Y² –31√3Y + 720 = 0
1. X >Y
2. X <Y
3. X ≥ Y
4. X ≤ Y
5. X = Y or relationship cannot be established
Answer –1. X >Y
Explanation :
Solution:
X = 13√5, 14√5
Y = 16√3, 15√3  I. X² – 2X – 399 = 0
II.Y² + 43Y + 462 = 0
1. X >Y
2. X <Y
3. X ≥ Y
4. X ≤ Y
5. X = Y or relationship cannot be established
Answer – 1. X >Y
Explanation :
Solution:
X = 19,21
Y = 21,22  A 180m long train crosses a Man in 9 seconds. Later if the train increased its speed and crossed another 240m train in 42 sec running in the same direction at 54 Km/hr, then find the increased speed in km/hr?
1. 5 Km/hr
2. 18 Km/hr
3. 24 Km/hr
4. 36 Km/hr
5. None
Answer – 2. 18 Km/hr
Explanation :
train speed = 180/9 = 20
20+x15 = 420/42
x =5 m/sec = 18 Km/hr  Sum weights of A and B are equal to the sum of weights of C and D. B is 28 Kg heavier than A. D is 32 kg heavier than C. Sum of weights of A and C is 20 Kg. Then what is the average weight of A, B, C, and D?
1. 24
2. 25
3. 26
4. 27
5. 28
Answer –2. 25
Explanation :
A+B = C+D
B = 28+A
D = 32+C
A+C = 20
A = 11, B = 39, C = 9 and D =41
Average = 100/4 = 25  The probability that Vijay will join IIT is 2/7 and that he will join NIT is 3/5.Find that probability that he will join either IIT or NIT?
1.4/35
2.6/35
3.29/35
4.31/35
5.None
Answer – 4.31/35
Explanation :
2/7+3/5 = 31/35  The amount received on Rs.3325 at 9% SI per annum for 4 years is same as the amount received on Rs.(3325+X) at 11% SI per annum for 3 years. Then what is the value of X?.
1. Rs. 25
2. Rs. 50
3. Rs. 75
4. Rs. 100
5. None
Answer – 3. Rs. 75
3325+3325*9*4/100 = (3325+x)*(1+33/100)
x = 75  In a vessel, the ratio of Milk and Water is 5:1. If some quantity of water is added then the ratio becomes 4:1. Now 20 liters of the mixture is withdrawn thus in final mixture Milk is 64 liters. Then find how much water is added to the initial mixture?
1. 4 liter
2. 5 liter
3. 6 liter
4. 8 liter
5. None
Answer – 1. 4 liter
Explanation :
5x/x+w = 4y/y
4y4/5*20 = 64
y = 20
x = 16
w = 4
 Q(15) In the following questions two equations numbered I & II are given. You have to solve both equations and mark one of the options given below.
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