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- Question
There are five cards lying on the table in one row. Five numbers from among 1 to 100 have to be written on them, one number per card, such that the difference between the numbers on any two adjacent cards is not divisible by 4. The remainder when each of the 5 numbers is divided by 4 is written down on another card (the 6th card) in order. How many sequences can be written down on the 6th card ?
Options- A. 4 x 3^4
- B. 3^4
- C. 4^3
- D. 3 x 4^3
- Correct Answer
- 4 x 3^4
ExplanationThe remainder on the first card can be 0,1,2 or 3 i.e 4 possibilities.
The remainder of the number on the next card when divided by 4 can have 3 possible values (except the one occurred earlier).
For each value on the card the remainder can have 3 possible values.
The total number of possible sequences is: 4*3^4 - 1.
The value of (0.96)3 - (0.1)3 is: (0.96)2 + 0.096 + (0.1)2
Options- A. 0.86
- B. 0.95
- C. 0.97
- D. 1.06 Discuss
- 2. A man has given one-fourth part of his property to his daughter, half part to his sons and one-fifth part given as charity. How much part of his property he has given?
Options- A. 1/20
- B. 19/20
- C. 1/10
- D. 9/10 Discuss
- 3. When a 192 meters long rod is cut down into small pieces of length 3·2 meters each. Then how many pieces are available?
Options- A. 52
- B. 68
- C. 62
- D. None of these Discuss
- 4. If a * b = a + b + a/b, Then the value of 12 * 4 is
Options- A. 48
- B. 19
- C. 20
- D. 21 Discuss
- 5. When A alone does a piece of work, he takes 25 days more than the time taken by (A + B) to complete that particular work, while B alone takes 49 days more than the time taken by (A + B) to finish the same work . A and B together will take what time for finish this work?
Options- A. 35 days
- B. 25 days
- C. 15 days
- D. 45 days Discuss
- 6. If the rate of interest rises from 6 1/2 to 8% a man's annual income increases by Rs. 4050. Find the capital.
Options- A. Rs . 270000
- B. Rs . 370000
- C. Rs . 300000
- D. None of these Discuss
- 7. 16, 33, 65, 131, 261, (....)
Options- A. 523
- B. 521
- C. 613
- D. 721 Discuss
- 8. 16.7 + 12.38 -? =10.09
Options- A. 17.89
- B. 18.99
- C. 16.98
- D. 20.09 Discuss
- 9. A mixture of 20 kg of spirit and water contains 10 % water. How much water must be added to this mixture to raise the percentage of water to 25 %?
Options- A. 4 kg
- B. 5 kg
- C. 8 kg
- D. 30 kg Discuss
- 10. A contractor undertakes to do a piece of work in 40 days. He engages 100 men at the begining and 100 more after 35 days and completes the work in stipulated time.
If he had not engaged the additional men, how many days behind schedule would it be finished?
Options- A. 7
- B. 18
- C. 12
- D. None Discuss
More questions
Correct Answer: 0.86
Explanation:
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Correct Answer: 19/20
Explanation:
Total share given by a person
= (1/4) + (1/2) + (1/5)
= (5 + 10 + 4)/20
= 19/20
Correct Answer: None of these
Explanation:
Correct Answer: 19
Explanation:
Since a * b = a + b + a/b
? 12 * 4 = 12 + 4 + 12/4
= 12 + 4 + 3 = 19
Correct Answer: 35 days
Explanation:
According to the formula,
Required time = ?ab
Where a = 25 and b = 49
? Require time = ?25 x 49 = 5 x 7
= 35 days
Correct Answer: Rs . 270000
Explanation:
Due to the rise in the rate of interest, annual income increases by Rs . (8 - 61/ 2) = Rs , 11/ 2
Thus, the required capital = (100 x 2 x 4050) / 3 = Rs. 270000
Correct Answer: 523
Explanation:
So, the next number is (2 x 261 + 1) = 523.
Correct Answer: 18.99
Explanation:
Let 16.7 + 12.38 - x =10.09
? x = 16.7 + 12.38 - 10.09
= 18.99
Correct Answer: 4 kg
Explanation:
Correct Answer: None
Explanation:
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