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- Question
A dice is numbered from 1 to 6 in different ways. If 1 is adjacent to 2, 4 and 6, then which of the following statements is necessarily true?
Options- A. 2 is opposite to 6
- B. 1 is adjacent to 3
- C. 3 is adjacent to 5
- D. 3 is opposite to 5
- Correct Answer
- 3 is adjacent to 5
ExplanationIf 1 is adjacent to 2, 4 and 6 then either 3 or 5 lies opposite to 1. So, the numbers 3 and 5 cannot lie opposite to each other. Hence, 3 is adjacent to 5 (necessarily).
- 1. One card is drawn from a pack of 52 cards, each of the 52 cards being equally likely to be drawn find the probability the card drawn is red.
Options- A. 2/3
- B. 1/2
- C. 1/52
- D. 13/51 Discuss
- 2. A fair coin is tossed 11 times. What is the probability that only the first two tosses will yield heads ?
Options- A. (1/2)^11
- B. (9)(1/2)
- C. (11C2)(1/2)^9
- D. (1/2) Discuss
- 3. A number is selected at random from the numbers 1 to 30. What is the probability that it is divisible by either 3 or 7 ?
Options- A. 1/30
- B. 2/30
- C. 1/25
- D. 1/2 Discuss
- 4. A box contains 100 balls, numbered from 1 to 100. If three balls are selected at random and with replacement from the box, what is the probability that the sum of the three numbers on the balls selected from the box will be odd?
Options- A. 1/6
- B. 1/3
- C. 1/2
- D. 1/4 Discuss
- 5. In a throw of a coin, find the probability of getting a head.
Options- A. 1
- B. 1/2
- C. 1/4
- D. 0.1 Discuss
- 6. Four usual dice are thrown on the ground. The total of numbers on the top faces of these four dice is 13 as the top faces showed 4, 3, 1 and 5 respectively. What is the total of the faces touching the ground?
Options- A. 12
- B. 13
- C. 15
- D. Cannot be determined Discuss
- 7. A dice is numbered from 1 to 6 in different ways. If 1 is adjacent to 2, 3 and 5, then which of the following statements is necessarily true?
Options- A. 4 is adjacent to 6
- B. 2 is adjacent to 5
- C. 1 is adjacent to 6
- D. 1 is adjacent to 4 Discuss
- 8. A cube is painted blue on two adjacent surfaces and black on the surfaces opposite to blue surfaces and green on the remaining faces .Now the cube is cut into 216 smaller cubes of equal size.
Options- A. 56
- B. 48
- C. 32
- D. 64 Discuss
- 9. A dice is numbered from 1 to 6 in different ways. If 1 is opposite to 5 and 2 is opposite to 3, then
Options- A. 4 is adjacent to 3 and 6
- B. 2 is adjacent to 4 and 6
- C. 4 is adjacent to 5 and 6
- D. 6 is adjacent to 3 and 4 Discuss
- 10. A picture is copied onto a sheet of paper 8.5 inches by 10 inches. A 1.5 inch margin is left all around. What area in square inches does the picture cover?
Options- A. 76
- B. 35
- C. 49
- D. 38.5 Discuss
Search Results
Correct Answer: 1/2
Explanation:
We know that:
When one card is drawn from a pack of 52 cards
The numbers of possible outcomes n(s) = 52
We know that there are 26 red cards in the pack of 52 cards
? The numbers of favorable outcomes n(E) = 26
Probability of occurrence of an event: P(E)=Number of favorable outcomes/Numeber of possible outcomes=n(E)/n(S)
? required probability = 26/52 = 1/2.
Correct Answer: (1/2)^11
Explanation:
Probability of occurrence of an event,
P(E) = Number of favorable outcomes/Numeber of possible outcomes = n(E)/n(S)
? Probability of getting head in one coin = ½,
? Probability of not getting head in one coin = 1- ½ = ½,
Hence,
All the 11 tosses are independent of each other.
? Required probability of getting only 2 times heads =
Correct Answer: 1/30
Correct Answer: 1/2
Explanation:
P(odd) = P (even) = 1(because there are 50 odd and 50 even numbers)
Sum or the three numbers can be odd only under the following 4 scenarios:
Odd + Odd + Odd = =
Odd + Even + Even = =
Even + Odd + Even = =
Even + Even + Odd = =
Other combinations of odd and even will give even numbers.
Adding up the 4 scenarios above:
= + + + = =
Correct Answer: 1/2
Explanation:
Here, s={H,T} and E={H}
P(E) = n(E)/n(S) = 1/2
Correct Answer: 15
Explanation:
In a usual dice, the sum of the numbers on any two opposite faces is always 7. Thus, 1 is opposite 6, 2 is opposite 5 and 3 is opposite 4.
Consequently, when 4, 3, 1 and 5 are the numbers on the top faces, then 3, 4, 6 and 2 respectively are the numbers on the face touching the ground. The total of these numbers = 3 + 4 + 6 + 2 = 15.
Correct Answer: 4 is adjacent to 6
Explanation:
If 1 is adjacent to 2, 3 and 5, then either 4 or 6 lies opposite to 1. So, the numbers 4 and 6 cannot lie opposite to each other. Hence, 4 necessarily lies adjacent to 6.
Correct Answer: 64
Explanation:
We know that Cubes with no surface painted can be find using , where x is number of cuttings. Here x=6.
Correct Answer: 2 is adjacent to 4 and 6
Explanation:
If 1 is opposite to 5 and 2 is opposite to 3, then 4 definitely lies opposite to 6. Therefore, 2 cannot lie opposite to any of the two numbers - 4 or 6. Hence, 2 necessarily lies adjacent to both 4 and 6.
Correct Answer: 38.5
Explanation:
Draw out the diagram and you will see that the width of the picture becomes 8.5 - 3 = 5.5
The length becomes 10 - 3 = 7. The area is now 5.5 x 7 = 38.5
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