11. The average age of a class of 39 students is 15 years .If the age of the teacher be included, then the average increases by 3 months .Find the age of the teacher.
Answer:
Explanation:let assume sum of all student ages=x
x/39=180month so x=7020;
teacher age=y so avg.,
(x+y)/40=183
y=183*40-x
y=300 month
y=300/12=25yrs
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Wipro NLTH
12. What Is The Smallest Positive Integer That Leaves A Remainder Of 1 When Divided By 2, Remainder Of 2 When Divided By 3, A Remainder Of 3 When Divided By 4, And A Remainder Of 9 When Divided By 10?
Answer:
Explanation:remainder of 1 when divided by 2: (2-1=1)
remainder of 2 when divided by 3: (3-2=1)
remainder of 3 when divided by 4: (4-3=1)
remainder of 9 when divided by 10: (2-1=1)
so N+1 should be divisible by 2,3,4,10
(where N is desired number)
L.C.M. of 2,3,4,10 = 60 (= N+1)
N = 59
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Wipro NLTH
13. One disk of 20cm radius, out of that 4 disk of 5cm are cut. Find diffrence of leftout and cut out area.
Answer:
Explanation:Radius r=20cm
Total areal of big disc = pi* r^2 = pi * 20 * 20 = 400 pi
Total cut out area = 4 * pi * 5 * 5 = 100 pi
Difference between them = 400 - 100 = 300pi
Workspace
Wipro NLTH
14. If the selling price of an object is Rs.2300 and the profit percent is 15, what is the cost price?
Answer:
Explanation:CP=SP/1.15=2300/1.15=2000
Workspace
Wipro NLTH
15. Distance between 2 places A and B is given. A man P starts from place A at 9 pm and another man Q goes from B at 10pm. Speed of Q is double of that of P. Both cover 1/4 dist in the same time interval. then A travels the entire distance in what time?
Answer:
Explanation:Let speed of p and q are x, 2x
time taken by A to cover 1/4 distance =t
x*t = 2x*(t-1)
t=2 for 1/4 of total distance
A travels the entire dist in time 2*4=8hrs
Workspace
Wipro NLTH
16. An isosceles triangle with sides 13, 13, 10 and there is a circle inscribed it. Find the radius of circle?
Answer:
Explanation:Height of triangle = √(13^2 - (10/2)^2) = 12
Area of triangle = r * s
where, r = radius of inscribed circle & s=(a+b+c)/2
Area of triangle = 1/2 *b*h = 1/2 *10 *12 = 60
s = (13+13+10)/2 = 18
r = area of triangle / s = 60/18 = 10/3 = 3.33
Workspace
Wipro NLTH
17. The average weight of 8 men is increased by 1.5 kg when one of the men who weighs 65 kg is replaced by a new man. The weight of the new man is :
Answer:
Explanation:Let x be the average weight of 8 men (before replacement). Therefore (x+1.5) will be the average weight of 8 men (after replacement)
(7*x + 68)/8 = x; x=65
(7*x + new)/8 = x+1.5
New = (8*65+8*1.5 – 8*65) = 65+12 = 77
Workspace
Wipro NLTH
18. On a windy day, out of every 3 sand dunes formed, only 1 remains. Out of 5 blown-out sand-dunes, 1 has treasure and only 2 out of 5 sand dunes formed have lucky coupons. Find the probability that the blown-out sand dune will contain both the things.
Answer:
Explanation:Probabilty of sand dune blown out = 2/3
Probabilty that it has treasure = 1/5
Probability that it has lucky coupon = 2/5
total probability = 2/3 * 1/5 * 2/5 = 4/75
Workspace
Wipro NLTH
19. A pizza which is thin is cut into 'x' pieces by 4 straight lines then the lowest possible value of x is?
Answer:
Explanation:4 parallel lines will give minimum number of pieces.
Workspace
Wipro NLTH HCL Technologies
20. A school has 30% students from Maharashtra .Out of these 20% are Bombay students. Find the total percentage of Bombay?
Answer:
Explanation:assume 100 students
30% of 100 =30(students from maharastra)
20% of bombay = 20% of 30 =6
in percentages= 6/100=6%
Workspace
Wipro NLTH
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