61. At what rate of interest (compounded yearly)will Rs. 10,000 amount to Rs. 12,100 in 2 years?
Answer: 10%
Explanation:Amount = P(1 + R/100)^n
Where Principal = P, Rate = R% per annum, Time = n years.
12100 = 10000 (1+R/100)^2
=> 121/100 = (1+R/100)^2
=> 11/10 = (1+R/100)=> 11/10 = (100 + R)/100
=> 110 = 100 + R => R = 10%
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62. What was the day of week on October 24, 1992?
Answer: Saturday
Explanation:1992 is a leap year because it is divisible of 4
A leap year consists of 366 days i.e, 52 weeks + 2 odd days
from 1st jan to 24th oct we have 297 days
and 366 -297 = 69 days
69 days i.e, 9 weeks + 6 odd days
i.e 6 odd days means SATURDAY
As 0 odd days is sun, 1 odd day is mon, 2=tue, 3=wed,4=th,5=fri, 6 odd days is sat.
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63. The age of a father is 5/2 of his daughter. 5 years ago it was 3 times that of his daughter.what is daughter's present age?
Answer: 20 Years
Explanation:Lets assume daughter's present age = x Years.
So, Father's present age = (5/2)*x Years.
5 years ago father's age = (5x/2)-5 = 3(x-5) Years.
Therefore,x=20 years
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64. If the ratio of ages of two friends is 4:3 and sum of their ages is 70 years then what is the age of older friend?
Answer: 40 years
Explanation:Sum of thier ages is 70 in ratio 4:3
=> 40+30 gives us 70. Wich is 4:3
so, older guy is having 40 Years.
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65. In a race of 4 Kms A beats B by 100 m or 25 seconds, then time taken by A is
Answer: 16 min 15 sec
Explanation:B covers 100m in 25 seconds B take time =(4000*25)/100=1000 sec=16 min 40 sec.
A takes time =1000 sec-25sec=975 sec= 16 min 25 sec.
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66. In day before Yesterday it was Monday, What day will fall on day after tomorrow ?
Answer: Friday
Explanation:if day before yesterday was Monday => Today is Wednesday
if today is wednesday => Day after tomorrow will be Friday
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67. Find the time between 7 and 8 O'clock when two hands are at right angles?
Answer: 21 9/11 minutes past 7 o'clock
Explanation:case 1: degree=(11/2)(min) -30(hr) 90=(11/2)(min) - 30*7
min= 54(6/11) past 7 0 'clock
case2: 60/55 *20
as it is 20 min apart
solving we get 21 (9/11) min past 7' 'O clock
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68. Which is the middle even number between 9 and 23?
Answer: 16
Explanation:9+x = 23-x 2x = 14
X = 7
Now 9+x = 16
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69. A,B,C invested the capitals in a business. If A invested Rs. 10,000 more than B and C invested Rs.20,000 more than A, then how should a profit of Rs.14,000 be divided among A,B and C?
Answer: 4000, 2000, 8000
Explanation:Given A=20,000
B=10,000
C=40,000
so their ration = 20,000 : 10,000 : 40,000 = 2:1:4
Given profit = 14000
A share = 4000, B share = 2000, C sahre = 8000
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70. Compound interest of Rs.3000 at 10% per annum for 1 1/2 years will be (interest compounded half yearly).
Answer: Rs.473
Explanation:10% interest per annum will be 5% interest half yearly for 3 terms( 1 1/2 years)
So compound interest = 3000[1+(5/100)]^3 - 3000
= 3000[(21/20)^3 -1]
= 3000(9261-8000)/8000
= 3*1261/8
= 472.8 ~ 473
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