21. Anil invests an amount for 2 years at the rate of 15% per annum at simple interest.Had he invested in a scheme in which interest was compounded yearly he would have got Rs.450 more. Find the principal:
Answer: Rs.20,000
Explanation:Lets assume D amount difference between compound and simple interest for 2 years, D=P*(R/100)^2
where P is the principal
R is rate of interest
so here,
450 = P*(15/100)^2 => P= Rs. 20000
Workspace
Tech Mahindra
22. The sum of odd number between 20 and 30 is
Answer: 125
Explanation:a = 21,l = 29 Clearly n = 5;
sum = n(a+l)/2 = 5*(21+29)/2 = 125
Workspace
Tech Mahindra
23. At what time between 4 and 5 o'clock will the hands of a watch point in opposite directions?
Answer: (54 + 6/11) past 4
Explanation:4 o'clock, the hands of the watch are 20 min. spaces apart.
To be in opposite directions, they must be 30 min. spaces apart.
So, Minute hand will have to gain 50 min. spaces.
55 min. spaces are gained in 60 min
50 min. spaces are gained in (60/55 +50) min. or 54 6/11
Required time = 54 6/11 min. past 4.
Workspace
Tech Mahindra
24. A college starts from 10 AM continues till 1:30 PM. In this duration there are five periods. If 5 minutes are provided before each period to leave the room and enter the other, then what is the duration of each period?
Answer: 38 min
Explanation:four 5 minutes breaks are needed so 4*5=20min
total duration is 210 minutes
duration left : 210-20 = 190
duration of each period: 190/5 = 38 min.
Workspace
Tech Mahindra
25. A clerk multiplied a number by ten when ten should have divided it. The answer he got was 100.what should the answer have been?
Answer: 1
Explanation:let no. be x
x*10=100
=> x=10
he has multiply by 10
so ans is 10/10=1
Workspace
Tech Mahindra
26. At what time between 9' O clock and 10' O clock will the hands of a clock point in the opposite directions?
Answer: 16 4/11 minutes past 9
Explanation:Here is no explanation for this answer
Workspace
Tech Mahindra
27. The age of Ritu's mother is 6 times that of Ritu's age. After 6 years it will be 3 times that of Ritu's age. what is Ritu's present age?
Answer: 4 years
Explanation:Lets assume Ritu age = x years.
So Ritu's mother age = 6x
After 6 years. 3(x+6)= (6x+6)
3x + 18 = 6x+6
=> 3x = 12 => x = 4 years.
Workspace
Tech Mahindra
28. In a game of 80 points. A can give B 5 points and C 15 points. Then how many points B can give C in a game of 60?
Answer: 8 points
Explanation:A can give B 5 points A / B = 80/75
A can give C 15 points A / C = 80/ 65
B can give C a points of ( B / A ) * ( A / C)
(75 / 80) * ( 80 / 65)
(75 / 65) = 15/13
Need to be find in a game of 60 , so multiply numerator and denominator with 4 such that the ratio becomes 60/52
Therefore B can give C of (60-52) = 8 points
Workspace
Tech Mahindra
29. If the compound interest (compounded Yearly) on a certain sum for 2 years at 3% is Rs.101.50 then what will be the corresponding simple interest?
Answer: Rs.100.00
Explanation:Given, years = 2
3% of 50= (50*(3/100))=Rs.1.5
Simple Interest =50+50=100
Compound Interest=50+50+1.5=101.5
Workspace
Tech Mahindra
30. In what ratio must water be added to 10 liters of milk at Rs.20 per liter so that cost of mixture is Rs.16 per liter?
Answer: 1:4
Explanation:10 lit milk cost 20 Rs For 1Rs, Milk = 1/2 lit
For 16Rs, Milk = (1/2)*16 = 8 lit (Milk)
Total quantity should be 10 litres.
so 10 - 8 = 2 lit ( water have to add)
Now ratio = 2(water) : 8(Milk) = 1:4
Workspace
Tech Mahindra