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- Question
K and L start the business, with L investing the total capital of Rs. 40,000 on the condition that K pays L interest @ 8% per annum on his half of the capital. L is a working partner and receives Rs.1200 per month from the total profit and any profit reamaining is equally shared by both of them. At the end of the year, it was found that the income of L is twice that of K. Find the total profit for the year ?
Options- A. Rs.44000
- B. Rs.46400
- C. Rs.480800
- D. Rs.46000
- Correct Answer
- Rs.46400
ExplanationInterest received by L from K = 8% of half of Rs.40,000
Amount received by L per annum for being a working partner = 1200 x 12 = Rs.14,400
Let 'A' be the part of remaing profit that 'L' receives as his share.
Total income of 'K' = only his share from the reamaing profit
= 'A', as both share equally.
Given income of L = Twice the income of K
--> (1600 + 14400 + A ) = 2A
--> A= Rs.16000
Thus total profit = 2A + Rs.14,400= 2(16000) + 14400
= 32000 +14400 = Rs.46,400.
- 1. In how many ways, can 24 persons be seated around a circular table if there are is 13 seats?
Options- A. 24! / [13 x 11! ]
- B. 22! / [14 x 12!]
- C. 23! / [13 x 11!]
- D. 24! / [12 x 12!] Discuss
- 2. A card is drawn from a well shuffled pack of cards. The probability of getting a queen of club or king of heart is?
Options- A. 1/52
- B. 1/26
- C. 1/13
- D. None of these Discuss
- 3. On the level ground, the angle of elevation of the top of the tower is 30°. On moving 20 m nearer, the angle of elevation is 60°. The height of the tower is :
Options- A. 20 ?3 m
- B. 10 ?3 m
- C. 10 ( ?3 - 1 ) m
- D. None of these Discuss
- 4. A sum of money amounts to ? 2240 at 4% per annum simple interest in 3 yr. The interest on the same sum for 6 months at 3.5% per annum is
Options- A. ? 30
- B. ? 50
- C. ? 35
- D. ? 150 Discuss
- 5. A train which is 264 meter long passes a pole in 12 sec. Find out the speed of train?
Options- A. 80 km/hr
- B. 80.6 km/hr
- C. 82.2 km/hr
- D. 79.2 km/hr Discuss
- 6. In the year 1996, the Republic day was celebrated on Friday. On which day was the Independence day celebrated in the year 2000?
Options- A. Tuesday
- B. Monday
- C. Friday
- D. Saturday Discuss
- 7. Find the no. of digits in 8 57 (given that log 102 = 0.3010)
Options- A. 52
- B. 50
- C. 51
- D. 53 Discuss
- 8. By which of the following a leap year must be divided
Options- A. 9
- B. 6
- C. 5
- D. 4 Discuss
- 9. A man can row against the current three-fourth of a kilometre in 15 min and returns same distance in 10 min, then ratio of his speed to that of current is?
Options- A. 3 : 5
- B. 5 : 3
- C. 1 : 5
- D. 5 : 1 Discuss
- 10. A man rows to a place 48 km distance and back in 14 hours . He finds that he can row 4 km with the stream in the same time as 3 km against the stream. Find the rate of the stream?
Options- A. 1 km/hr
- B. 2 km/hr
- C. 1.5 km/hr
- D. 2.5 km/hr Discuss
More questions
Correct Answer: 24! / [13 x 11! ]
Explanation:
First , we select 13 persons out of 24 persons in 24 C13 ways.
Now, these 13 persons can be seated in 12! ways around a table .
So required number of ways = 24 C13 x 12!
= [24! / {13!(24 - 13)!}] x 12!
= [24! / {13! x 11!}] x 12!
= 24! / (13 x 11!)
Correct Answer: 1/26
Explanation:
Total ways = 52
There is one queen of club and one king of heart favourable ways = 1 + 1 = 2.
? Required probability = 2/52 = 1/26
Correct Answer: 10 ?3 m
Explanation:
Correct Answer: ? 35
Explanation:
If the sum be ? P, then
(2240 - P) = (P x 4 x 3)/100
? 2240 = 12P/100 + P
? 2240 = 112P/100
? P = (2240 x 100)/112 = ? 2000
Now, required interest,
SI = PRT/100 = [{2000 x (7/2) x (1/2)} /100]
= ? 35
Correct Answer: 79.2 km/hr
Explanation:
Length of train = 264 m
Time taken to cross the pole = 12 sec
Speed of the train, in m/sec = Length of the train/ Time taken to cross the pole
Therefore, speed in m/sec= (264 / 12) m/sec = 22 m /sec
Calculating speed in km/ hour = (22 m/sec ) x 18/5 = 396/5 km/hr = 79.2 km/ hour
Correct Answer: Tuesday
Explanation:
Correct Answer: 52
Explanation:
857 = (23)57 = 2171
? Required answer = (171 log10 2 + 1 )
= [171 x 0.3010] + 1 = [51.4710] +1
= 51+1 =52
Correct Answer: 4
Explanation:
A leap year must be divisible by 4 as every 4th year is a leap year..
Correct Answer: 5 : 1
Explanation:
Let the speed of man and current be U and V km/h, respectively.
Speed upstream = (U - V) km/h
Speed down stream = (U + V) km/h
According to the question,
(3 x 60)/(4 x 15) = U - V
? U - V = 3 ......(i)
and (3/4) x (60/10) = U + V
? U + V = 9/2 ...(ii)
On adding Eqs. (i) and (ii), we get
2U = 3 + 9/2
? U = 15/4
On putting the value of U in Eq. (ii), we get
15/4 + V = 9/2
V = 9/2 - 15/4 = 18 - 15/4
? V = 3/4
Hence, speed of man U = 15/4 and
Speed of current V = 3/4
Hence, required ratio = 15/4 : 3/4 = 5 : 1
Correct Answer: 1 km/hr
Explanation:
Suppose that the man takes H hours to cover 4 km downstream and H house to cover 3 km upstream.
Then, 48H/4 + 48H/3 = 14
? H = 1/2
? Rate upstream = 3/(1/2)= 6 km/hr
and rate downstream = 4/(1/2) = 8 km/hr
? Rate of the stream = (8 - 6)/2 = 1 km/hr .
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