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- Question
- Boxes numbered 1, 2, 3, 4, and 5 are kept in a row and they are to be filled with either a red or a blue ball, such that no two adjacent boxes can be filled with blue balls. Then, how many different arrangements are possible, given that all balls of a given colour are exactly identical in all respects?
Options- A. 8
- B. 10
- C. 15
- D. 22
- Correct Answer
- 22
ExplanationTotal number of ways of filling the 5 boxes numbered as (1, 2, 3, 4, and 5) with either blue or red balls 25 = 32.
Two adjacent boxes with blue can be obtained in 4 ways, i.e., (12), (23), (34) and (45).
Three adjacent boxes with blue can be obtained in 3 ways, i.e., (123), (234)and (345). Four boxes with blue can be obtained in 2 ways, i.e., (1234) and (2345). And five boxes with blue can be got in 1 way. Hence, the number of ways of filling the boxes such that adjacent boxes have blue
= (4 + 3 + 2 + 1) = 10.
Hence, the number or ways of filling up the boxes such that no two adjacent boxes have blue = 32 - 10 = 22. - 1. An elevator starts with 5 passengers and stops at 8 different floors if the house. Find out the probability of all the 5 passengers alighting at different floors.
Options- A. 101/512
- B. 105/512
- C. 107/512
- D. 109/512 Discuss
- 2. A single discount equivalent to three successive discounts of 5% , 10% , 20% is :
Options- A. 68.4 %
- B. 35 %
- C. 31.6 %
- D. 32 % Discuss
- 3. The discount on $ 5229 due in 1 year 9 months reckoning compound interest at 5 % is :
Options- A. $ 429.00
- B. $ 415.00
- C. $ 393.25
- D. None of these Discuss
- 4. If $ 10 be allowed as true discount on a bill of $ 110 due at the end of certain time, then the discount allowed on the same amount due at the end of double the time is :
Options- A. $ 20
- B. $ 21.81
- C. $ 22
- D. $ 18.33 Discuss
- 5. ?. 10x 2 ? 7x + 1 = 0
?. 35y 2 -12y + 1 = 0
Options- A. 1
- B. 2
- C. 3
- D. 4 Discuss
- 6. Abhinav save Rs. 25 by getting 6.66% discount on a textbook.What is the amount of money (in Rs.) paid by him?
Options- A. 450
- B. 350
- C. 225
- D. 375 Discuss
- 7. ?. x 3 - 371 = 629
?. y 3 - 543 = 788
Options- A. 1
- B. 2
- C. 3
- D. 4 Discuss
- 8. The roots of the equation a2x2 - 3abx + 2b2 = 0 are
Options- A. 2b , - b a a
- B. 2b , b a a
- C. - 2b , - b a a
- D. None of these Discuss
- 9. 1, 8, 27, 64, 125, 216, (...) :
Options- A. 354
- B. 343
- C. 392
- D. 245 Discuss
- 10. The Different between the length and breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is
Options- A. 2520 m2
- B. 2480 m2
- C. 2420 m2
- D. None of these Discuss
More questions
Correct Answer: 105/512
Explanation:
Required probability = favorable number of cases/ total number of
=8P5 / 8 5 = 105/512
Correct Answer: 31.6 %
Explanation:
Let the original price be 100 Rs.
So reduced price = 100 X 0.95 X 0.90 X 0.80 = 68.40
? Single discount = (100 ? 68.4) % = 31.6%
Correct Answer: $ 429.00
Explanation:
Correct Answer: $ 18.33
Explanation:
Correct Answer: 4
Explanation:
Correct Answer: 350
Explanation:
6.66% of MP = 25
? MP = 375
? SP = MP - 25 = 350
Correct Answer: 3
Explanation:
According to given question , we have
?. x3 - 371 = 629
? x = ?1000 = 10
?. y3 - 543 = 788
? y = ?1331 = 11
From above both equations it is clear that x < y is correct answer .
Correct Answer: 2b , b a a
Explanation:
Correct Answer: 343
Explanation:
Number are 13, 23, 33, 43, 53, 63.
So, the missing number is 73 = 343.
Correct Answer: 2520 m2
Explanation:
Let the length of rectangle = L m
? Breadth of rectangle = B m
Using conditions from the question,
L - B = 23 ....(i)
2(L + B) = 206
L + B = 103 ....(ii)
On adding Eqs. (i) and (ii), we get
2L = 126
? L = 63 m
? B = 103 - 63 = 40 m
Then , area of rectangle = L x B
= 63 x 40
= 2520 m2 .
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