The number of boys in a class are x and the number of girls are 4 less than the number of boys. The sum of weight of boys is 630 and the average weight of boys is 45 kg. If 2 students are selected for a exam then what will be the probability that the number of boys the numbers of girls are equal ?
4/9
35/69
82/265
36/129
1/5
Option B Total number of boys = x number of girls = x – 4 the number of boys = 630/45 = 14 the number of girls = 14 – 4 = 10 probability = 14C1 * 10C1 / 24C2 = 14 * 10 * 2/24 * 23 = 35/69
Difference between CI received in first 1.5 years at 20% per annum compounded annually and CI received in last 1.5 years at same rate of interest in compounded half yearly on the same sum is rs.495, then find the sum ?
32000
48000
30000
52000
45000
Option E Let sum = 100x total rate of in 1st 1.5 years = 20 + 10 + 20 * 10 /100 = 32% CI received = 100x * 32/100 = 32x CI received in last 1.5 years = 100x * 1.1 * 1.1 * 1.1 – 100x = 33.1x difference = 33.1x – 32x = 495 1.1x = 495 x = 450 sum = 100x = 100* 450 = 45000
X and Z alone can do a piece of work in 25 days and 30 days respectively, while Y takes as half time as X and Z take together. If they start working alternatively starting by Y, followed X and Z respectively, then find in how many days work will be completed ?
5 8/17 days
12 9/11 days
8 2/5 days
6 3/5 days
26 3/8 days
Option B LCM of 25 and 30 = 150 efficiency of X = 150/25 = 6 efficiency of Z = 150/30 = 5 efficiency of Y = 22 when all three works alternatively 3 days work = 22 + 6 + 5 == 33 work in total 12 days = 12/3 * 33 = 132 work remaining work = 150 – 132 = 18 remaining work completed by Y = 18/22 = 9/11 day total days = 12 9/11 days
A boat takes total 10 hours to cover the distance of 84 km in upstream and 84 km in downstream. If the speed of boat is increased by 12km/hr, then the new upstream speed is doubled of its usual speed. Find the time taken by boat to cover 140 km in downstream.
5
8
2
6.5
2.5
Option A Let speed of boat = x km/hr speed of stream = y km/hr downstream speed = x + y upstream speed = x – y new speed of boat = x + 12 upstream speed = x + 12 – y 2 (x – y ) = x + 12 – y x – y = 12 upstream speed = 12 time taken by boat to cover 84 km in upstream 84/12 = 7 time taken by boat in downstream = 10 – 7 = 3 downstream speed = 84/3 = 28 km time taken by boat to cover 140 km in downstream = 140/28 = 5 hours
A and B started a partnership business with investment (x + 500) and (x – 1000) respectively. After 6 months a withdrew 40% of his amount. If profit received by A at the end of the year is 2800 out of the total profit rs.4800, then what is the value of ‘x’ ?
4000
2000
1500
3000
5600
Option D Investment of A = (x + 500)* 6 + ( x + 500)* .6 * 6 = 6(1.6x + 800) investment of B = (x – 1000) * 12 profit of A = 2800 profit B = 4800 – 2800 = 2000 6( 1.6x + 800)/(x – 1000)12 = 2800/2000 8x + 4000 = 14x – 14000 x = 3000
I. 2x^2 – 13x + 15 = 0 II. y^2 – 6y + 8 = 0
X > Y
X < Y
X ≤ Y
X ≥ Y
X = Y or no relation.
Option E I. 2x^2 – 10x – 3x + 15 = 0 2x = 10, 3 x = 5 , 1.5 II. y^2 – 4y – 2y + 8 = 0 y = 4, 2
I. x^2 – 27x + 92 = 0 II. y^2 – 17y + 60 = 0
X > Y
X < Y
X ≤ Y
X ≥ Y
X = Y or no relation.
Option E I. x^2 – 23x – 4x + 92 = 0 x = 23, 4 II. y^2 – 12y – 5y + 60 = 0 y = 12 , 5
I. x^2 = 196 II. y^3 = 4096
X > Y
X < Y
X ≤ Y
X ≥ Y
X = Y or no relation.
Option B I. x^2 = 196 x = 14, -14 II. y^3 = 4096 y = 16
I. 5x^2 – 7x + 2 = 0 II. y^2 + 12y + 32 = 0
X > Y
X < Y
X ≤ Y
X ≥ Y
X = Y or no relation.
Option A I. 5x^2 – 5x – 2x + 2 = 0 5x = 5, 2 x = 1, .4 II. y^2 + 8y + 4y + 32 = 0 y = -8, -4
I. 3x^2 – 19x + 20 = 0 II. 4y^2 – 6y + 2 = 0
X > Y
X < Y
X ≤ Y
X ≥ Y
X = Y or no relation.
Option A I. 3x^2 – 15x – 4x + 20 = 0 3x = 15, 4 x = 5, 1.33 II. 4y^2 – 4y – 2y + 2 = 0 4y = 4, 2 y = 1. .5
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With havin so much content and articles do you ever run into any issues of plagorism or copyright violation? My website has a lot of exclusive content I’ve either created myself or outsourced but it looks like a lot of it is popping it up all over the web without my permission. Do you know any methods to help stop content from being ripped off? I’d certainly appreciate it.
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