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- Question
If ABCDEF is a regular hexagon, then what is the value (in degrees) of ?ADB?
Options- A. 15
- B. 30
- C. 45
- D. 60
- Correct Answer
- 30
- 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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