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Aptitude Online Quiz
Following quiz provides Multiple Choice Questions (MCQs) related to Aptitude. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz.
Q 2 - A certain no. of men finishes a bit of work in 60 days. On the off chance that there were 8 men more work could be done in 10 days less. What number of men arrived initially?
Answer : B
Explanation
Let there be x men originally. X man finish the work in 60 days and (x+8) finish it in 50 days. X man finish the job in 60 days. ⇒ 1 man can finish it in 50 (x+8) days. ∴ 60 x = 50(X+80 ⇒10 x= 400 ⇒x = 40 Hence, there were 40 men originally.
Answer : A
Explanation
1/(1+ 1/ (1+1/x)) = 2 ⇒ 1/(1+x/(x+1)) = 2 ⇒ (x+1)/ (2x+1) = 2 ⇒ x+1= 4x+2 ⇒ 3x= -1 ⇒ x= -1/3
Answer : A
Explanation
y = 587 x 999 = 587 x (1000 - 1) = 587 x 1000 - 587 = 587000 - 587 = 586413
Answer : D
Explanation
Using formula (13 + 23 ... + n3) = [(1/2)n(n+1]2 (13 + 23 ... + 203) = [(20 x 21)/2]2 = 2102 = 44100
Q 6 - A boat running upstream takes 8 hours 48min to cover a certain separation, while it takes 4 hour to cover the same separation running downstream. What is the proportion between the velocity of the vessel and the velocity of water flow respectively?
Answer : C
Explanation
Let the speed of boat be x km /hr and speed of stream be y km/hr.`44/5 * (x-y) = 4 * (x+y) => 44(x-y) =20 (x+y) => 11 (x-y) = 5(x+y) => 6x=16y`=> x/y= 16/6 = 8/3 => x: y = 8:3.
Q 7 - The arrangement of x/2+ y/9 = 11 and x/3 + y/6 =9 are:
Answer : C
Explanation
The given equations are 9x+ 2y = 198...(i) 2x+y =54...(iii) On multiplying (ii) by 2 and subtracting it from (i), we get: 5x= 90 ⇒x= 18 Putting x=18 in (ii), we get: 36+y = 54 ⇒y = 18 ∴x = 18, y= 18
Q 8 - A vertical pole fixed to the ground is divided in the ratio 1:4 by a mark on it with lower part shorter than the upper part. If the two parts subtend equal angles at a place on the ground, 16 m away from the base of the pole, what is the height of the pole?
Answer : C
Explanation
Let CB be the pole and point D divides it such that BD : DC = 1 : 4 = X:4X Given that AB = 16 m Let the the two parts subtend equal angles at point A such that CAD = BAD = Θ =>tan Θ=X/16 =>X=16 tan ( Θ) ------ (1) =>tan( Θ+ Θ)=4X/16 =>16 tan (2 Θ)=4X =>16(2tan ( Θ))/(1-tan ( Θ)2)=4X ------ (2) From eqn 1 & 2 2X/(1-tan ( Θ)2)=4X (X=16tan Θ) 1/(1-(X/16)2)=2 1-(X/16)2=1/2=>162- X2=162/2=>X2=128 =>X=8√2 =>Height of pole BC = X+4X=5X=40√2
Q 9 - Pipes A and B can fill a tank in 20 hours and 30 hours separately and channel C can purge the full tank in 40 hours. In the event that every one of the funnels is opened together, what amount of the reality of the situation will become obvious eventually expected to make the tank full?
Answer : C
Explanation
Net part filled in 1 hr = (1/20+ 1/30 ? 1/40)= 7/120 Time needed to make the tank full = 120/7 hrs.
Q 10 - If the average score of boys and girls is 71 and 73 but combined average of boys and girls is 71.8. How much percentage of girls is present in the class?
Answer : A
Explanation
If the number of girls is x than the number of boys in the class (100 -x). Then 73 x+ 71( 100- x) = 71.8 * 100 ⇒ 73x - 71 x = 7180 - 7100 = 2x = 80 ⇒ x = 40 Hence, it proves that 40% girls present in the class.