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- Question
A man wears socks of two colours - Black and White. He has altogether 30 black socks and 10 brown socks in a drawer. Supposing he has to take out the socks in the dark, how many must he take out to be sure that he has a matching pair ?
Options- A. 3
- B. 4
- C. 5
- D. 2
- Correct Answer
- 3
ExplanationGiven there are 2 coloured socks, which is black and White
Let suppose 3 is choosen at random
then three conditions arises
1. all are black
2.all are white
3. either it will have 2 black and 1 white or it will have 2 white and 1 black
so in all the conditions as above mentioned we are getting atleast one pair of socks.So, he must take out 3 to be sure that he has a matching pair.
- 1. If the three-four of a number is subtracted from the number, the value so obtained is 163.What is the number?
Options- A. 625
- B. 562
- C. 632
- D. 652 Discuss
- 2. A farmer borrowed ? 4200 at 10% per annum. At the end of 5 yr he cleared his account by paying ? 5000 and a cow. The cost of the cow is?
Options- A. ? 1300
- B. ? 1240
- C. ? 1200
- D. ? 1340 Discuss
- 3. A man took a loan at simple interest at 7% in the first year with an increase of 0.5% in each subsequent year. He pays ? 3690 as interest after 5 yr . How much loan did he take?
Options- A. ? 9250
- B. ? 9440
- C. ? 9225
- D. ? 9360 Discuss
- 4. January 1, 2007 was Monday. What day of the week lies on Jan. 1, 2008?
Options- A. Monday
- B. Tuesday
- C. Wednesday
- D. Sunday Discuss
- 5. In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
Options- A. 63
- B. 90
- C. 126
- D. 45
- E. 135 Discuss
- 6. 2, 6, 12, 20, 30, 42, 56, (....)
Options- A. 61
- B. 64
- C. 72
- D. 70 Discuss
- 7. Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:
Options- A. 1 : 3
- B. 3 : 2
- C. 3 : 4
- D. None of these Discuss
- 8. A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is:
Options- A. No profit, no loss
- B. 5%
- C. 8%
- D. 10%
- E. None of these Discuss
- 9. What is the unit digit in(795 - 358)?
Options- A. 0
- B. 4
- C. 6
- D. 7 Discuss
- 10. At what time between 4 and 5 o'clock will the hands of a watch point in opposite directions?
Options- A. 45 min. past 4
- B. 40 min. past 4
- C.
50 4 min. past 4 11 - D.
54 6 min. past 4 11
Discuss
More questions
Correct Answer: 652
Explanation:
Let the number be N.
According to the question,
N - (N x 3/4) =163
? N/4 =163
? N=652
Correct Answer: ? 1300
Explanation:
Amount after 5 yr, 4200 + (4200 x 10 x 5)/100
= (4200 + 2100) = Rs 6300
? Cost of the cow = (6300 - 5000) = ? 1300
Correct Answer: ? 9225
Explanation:
Let the loan taken be ? P Then,
[(P x 7 x 1)/100] + [(P x 7.5 x 1)/100] + [(P x 8 x 1)/100] + [(P x 8.5 x 1)/100] + [(P x 9 x 1)/100] = ? 3690
? P x (7 + 7.5 + 8 + 8.5 + 9)/100 = 3690
? (P x 40)/100 = 3690
? P = (3690 x 100)/40 = ? 9225
Hence, the loan taken was ? 9225.
Correct Answer: Tuesday
Explanation:
The year 2007 is an ordinary year. So, it has 1 odd day.
1st day of the year 2007 was Monday.
1st day of the year 2008 will be 1 day beyond Monday.
Hence, it will be Tuesday.
Correct Answer: 63
Explanation:
| Required number of ways = (7C5 x 3C2) = (7C2 x 3C1) = | ❨ | 7 x 6 | x 3 | ❩ | = 63. |
| 2 x 1 |
Correct Answer: 72
Explanation:
So, the next number is 8 x 9 = 72.
Correct Answer: 3 : 2
Explanation:
Let the speeds of the two trains be x m/sec and y m/sec respectively.
Then, length of the first train = 27x metres,
and length of the second train = 17y metres.
| ∴ | 27x + 17y | = 23 |
| x+ y |
⟹ 27x + 17y = 23x + 23y
⟹ 4x = 6y
| ⟹ | x | = | 3 | . |
| y | 2 |
Correct Answer: 5%
Explanation:
C.P. of 56 kg rice = Rs. (26 x 20 + 30 x 36) = Rs. (520 + 1080) = Rs. 1600.
S.P. of 56 kg rice = Rs. (56 x 30) = Rs. 1680.
| ∴ Gain = | ❨ | 80 | x 100 | ❩% = 5%. |
| 1600 |
Correct Answer: 4
Explanation:
Unit digit in 7 95 = Unit digit in [(7 4 ) 23 x 7 3 ]
= Unit digit in [(Unit digit in(2401)) 23 x (343)]
= Unit digit in (1 23 x 343)
= Unit digit in (343)
= 3
Unit digit in 358 = Unit digit in [(34)14 x 32]
= Unit digit in [Unit digit in (81)14 x 32]
= Unit digit in [(1)14 x 32]
= Unit digit in (1 x 9)
= Unit digit in (9)
= 9
Unit digit in (795 - 358) = Unit digit in (343 - 9) = Unit digit in (334) = 4.
So, Option B is the answer.
Correct Answer:
| 54 | 6 | min. past 4 |
| 11 |
Explanation:
To be in opposite directions, they must be 30 min. spaces apart.
∴ Minute hand will have to gain 50 min. spaces.
55 min. spaces are gained in 60 min.
| 50 min. spaces are gained in | ❨ | 60 | x 50 | ❩min. or 54 | 6 | min. |
| 55 | 11 |
| ∴ Required time = 54 | 6 | min. past 4. |
| 11 |
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