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31. A can run 3 Kms in 3 min 18 sec and B can run same distance in 3 min 40 sec, then by how much distance A can beat B?

Answer: 300 m

Explanation:

Given, 3km or 3000m Difference is 22 second
3 min 40sec = 220 sec
so, 3000*22/220 = 300m

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32. A and B invested money together in a business and share of capital of A is 1/4th that of B. If they incur a loss of Rs.500 then loss for B is

Answer: 400

Explanation:

Let the amount investment of B = Rs. X
Investment of A = 1/4 of B = (1/4)x
Ratios of investment of A and B = 1/4 x : x = x : 4x

Loss for B = [ 4 / (1+4) ] * 500 = (4/5) * 500 = Rs. 400

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33. At the time of marriage, a man was 6 years elder to his wife. 12 years after their marriage, his age is 6/5 times the age of his wife. What was wife's age at the time of marriage?

Answer: 18 years

Explanation:

lets assume wifes age= x years.
So, husband age = (x+6) years.
After 12 years of marriage
wifes age = (x+12) Years.
husbands age = (x+6+12) Years = (x+18) Years.
6/5(x+12)=(x+18)
=> 6x + 72 = 5x + 90
=> x = 18 Years.

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34. A man walking at 3/4th of the speed, reaches his office late by 2 hours. What is the usual time?

Answer: 6 hours

Explanation:

Here is no explanation for this answer

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35. Find the quantities of two types of rice to be mixed, first variety is of Rs.12 per kg and second variety is of Rs.20 per kg. to get 12kg of rice mixture worth Rs.15 per kg?

Answer: 7.5, 4.5

Explanation:

Here is no explanation for this answer

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36. A and B joined a patnership busines. In which A invested Rs. 10,000 for 6 months and B invested Rs. 6000 for 8 months. If they earn a profit of Rs. 3000. find A's share in the profit.

Answer: Rs. 1667

Explanation:

A and B share ration = 10,000*6 " 6000*8 = 60000:48000=15:12
So, A's share= 15*3000/(15+12) = Rs. 1667

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37. Ten years ago A was half of B's Age. If ratio of their present ages is 3:4 then what is the total of their present ages?

Answer: 35 years

Explanation:

Lets say ten years ago A was half of B's age so,take 5 : 10
Now,after 10 years A is 15 and B is 20
15:20 is 3:4 so,combined age is 15+20 = 35

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38. What was the day of the week on January 1, 1998?

Answer: Thursday

Explanation:

1998 is divided into 3 parts like 1600,300 and 98. for 1600 the odd day is 0
and for 300 the odd day is 1.
For 98 years will have total 24 leap years and 74 normal years. 24*2+74*1=122/7=3odd days.
So, date is jan 1st for dis odd day is 0.
Total odd days = (0+1+3+0) = 4
As 0 odd days is Sun, 1 odd day is Mon, 2=Tue, 3=Wed,4=Thu,5=Fri, 6=Sat.

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39. In a 200 M race A beats B by 35 M or 7 seconds. A's time over the cause is ______

Answer: 33 Sec.

Explanation:

B covers 35m in 7 seconds B take time = (200*7)/35=40
A takes time = (40-7)= 33 Sec.

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40. If A and B get profits of Rs. 6000 and Rs. 4000 respectively at the end of year the ratio of their investments are

Answer: 3:2

Explanation:

profit=Investment * Time
so, 6000=invest-1 *1=6000
4000=invest-2 * 1= 4000
invest-1/inverst-2=6000/4000=3/2

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