Ques 1.
Two Trains namely A and B start simultaneously from a certain place at the speed of 40 kmph and 55 kmph, respectively.The train B reaches the destination 2 hours earlier than A. What is the distance between the starting point and destination?
Solution :
Here distance is equal
==> 40*time = 55(time-2)
==>Time = 22/3 hours
Distance = 40*22/3= 294 km approx
Ques 2.
The income of Siva and Ganesh are in the ratio of 4:5 and their expenditure is in the ratio of 2:3. If each of them saves 2000, then find their income.
Solution :
Income ratio = 4x : 5x
Expenditure ratio = 2y : 3y
Savings = 2000
==> 4x-2y = 5x-3y
==> x=y ---- (i)
From eq (i)
==> 4x-2(x)=2000
==> x =1000
Incomes = 4*1000 ; 5*1000 = 4000 ; 5000
Ques 3.
A dealer sold two mobiles at Rs. 5940 each. On selling one AC he gained 10% and on selling the other he lost 10%. Find the dealer’s gain or loss percent?
Solution :
Mobile1 sold at 10% profit
110% -------- 5940
100% -------- ?
Mobile 1 cost price = 5400
Mobile 2 sold at 10% loss
90% ----- 5940
100% ---- ?
Mobile 2 cost price = 6600
Total cost price = 6600+5400=12000
Total selling price = 5940*2 = 11880
Profit percentage = (120*100)/12000=1%(1%loss)
Ques 4.
A basket contains 5 red 4 blue 3 green balls. If three marbles picked up random, What is the probability that either all are green or all are red?
Solution :
==> (5C3 + 3C3)/(12C3)
= 1/20
Ques 5.
Two pipes P and Q can fill a tank in 8 minutes and 12 minutes respectively. If both the pipes are opened simultaneously, after what time should Q be closed so that the tank is full in 6 minutes?
Solution :
L.C.M of 8,12 = 24 = work
Efficiency of P = 24/8 =3
Efficiency of Q = 24/12=2
==> 5x + (6-x)3 =24
==> x = 3min
Ques 6.
5 matches are to be played in a cricket tournament. In how many ways can result be decided?
Solution :
Here every match have 3 type of results win,loss and draw
==> 3*3*3*3*3= 243
Ques 7.
The prices of two articles are in the ratio 3 : 4. If the price of the first article be increased by 10% and that of the second by Rs. 4, the original ratio remains the same. The original price of the second article is ?
Solution :
Let the price of two articles are 3X and 4X.
==>110% of 3x/(4X+4) = 3/4
x=10
Thus the CP of second article = 4X = 4*10 = Rs. 40.
Ques 8.
P, Q, R subscribe Rs. 60,000 for a business, P subscribes Rs.8000 more than Q and Q Rs. 5000 more than R. Out of a total profit of Rs. 40,000, P receives ?
Solution :
Let R = x then Q= x + 5000 and P= x + 5000 + 8000 = x + 13000.
x + x + 5000 + x + 13000 = 60000 <=> 3x = 42000 , x = 14000.
A : B : C = 27000 : 19000 : 14000 = 27 : 19 : 14
P’s share = Rs. (40000 * 27/60 ) = Rs.18,000
Ques 9.
The width of a rectangle is 10 meter and its area is 120 square meter. If length of the rectangle is increased by 6.What is the new perimeter of the rectangle?
Solution :
Length =120/10 =12
After increasing 6m = 12+6=18
Perimeter = 2(18+10)=56m^2
Solution :Ques 10.
18 119 708 ? 14136 42405
18*7 -7 = 119
119*6 -6 = 708
708*5 -5 = 3535
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