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- Question
Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?
Options- A.
1 2 - B.
3 4 - C.
3 8 - D.
5 16 - Correct Answer
-
3 4
ExplanationIn a simultaneous throw of two dice, we have n(S) = (6 x 6) = 36.Then, E = {(1, 2), (1, 4), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 2), (3, 4),
(3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 2), (5, 4), (5, 6), (6, 1),
(6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}∴ n(E) = 27.
∴ P(E) = n(E) = 27 = 3 . n(S) 36 4
More questions
- 1. ( x2/3)- 3/4 is equivalent to :
Options- A. 1 x
- B. 1 ?x
- C. 1 x2
- D. 1 x- 2 Discuss
Correct Answer: 1 ?x
Explanation:
- 2. The probability of getting a composite number when a six-faced unbiased die is tossed, is
Options- A. 1/4
- B. 1/3
- C. 1/2
- D. 1 Discuss
Correct Answer: 1/3
Explanation:
n(S) = 6, n(E) = (4, 6) = 2
? P(E) = 2/6 = 1/3- 3. Ajay takes some loan from Rashmi at the rate of 5% per annum andd after 2 yr, Ajay gave back ? 8800 to Rashmi and this way paid his whole loan. Find the interest by Ajay.
Options- A. ? 825
- B. ? 975
- C. ? 800
- D. ? 850 Discuss
Correct Answer: ? 800
Explanation:
Here, A = ? 8800, T =2 yr, R = 5%
We know
SI = ART/(100 + RT) = (8800 x 5 x 2) / (100 + 5 x 2)
= (8800 x 10) / 110
= ? 800- 4. 582, 605, 588, 611, 634, 617, 600
Options- A. 634
- B. 611
- C. 605
- D. 600 Discuss
Correct Answer: 634
Explanation:
Alternatively 23 is added and 17 is subtracted from the terms. So, 634 is wrong.- 5. In the given figure, AM ? BC and AN is the bisector of ?A. What is the measure of ?MAN.
Options- A. 17.5°
- B. 15.5°
- C. 20°
- D. 25° Discuss
Correct Answer: 17.5°
Explanation:
- 6. If the cost of 1/4 th of kg is Rs. 0·60, then what is the cost of 200 gm ?
Options- A. 42 paise
- B. 48 paise
- C. 40 paise
- D. 50 paise Discuss
Correct Answer: 48 paise
Explanation:
- 7. 10, 26, 74, 218, 654, 1946, 5834
Options- A. 26
- B. 74
- C. 218
- D. 654
- E. 1946 Discuss
Correct Answer: 654
Explanation:
2nd term = (1st term) x 3 - 4 = 10 x 3 - 4 = 26.3rd term = (2nd term) x 3 - 4 = 26 x 3 - 4 = 74.
4th term = (3th term) x 3 - 4 = 74 x 3 - 4 = 218.
5th term = (4th term) x 3 - 4 = 218 x 3 - 4 = 650.
∴ 5th term must be 650 instead of 654.
- 8. One side of a rectangular field is 4 meter and its diagonal is 5 meter. The area of the field is?
Options- A. 12 m2
- B. 15 m2
- C. 20 m 2
- D. 4?5 m2 Discuss
Correct Answer: 12 m2
Explanation:
Other side = ?5 2 - 42
= ? 9
=3 m
So The area of the rectangular field = 4 x 3
= 12 m2- 9. Convert 0.2 7 into a vulgar fraction.
Options- A. 5/18
- B. 5/19
- C. 7/19
- D. 3/17 Discuss
Correct Answer: 5/18
Explanation:
0.27 = (27 - 2)/90 = 25/90 = 5/18
- 10. If in a hostel 45 days, food is available food is available for 50 students, for how many days will this food be sufficient for 75 students?
Options- A. 25 days
- B. 28 days
- C. 30 days
- D. 40 days Discuss
Correct Answer: 30 days
Explanation:
For 50 students, food is sufficient for 45 days
? For 1 student, food is sufficient for 45 x 50 days
and for 75 students, food is sufficient for (45 x 50)/75 days. i,e., for 30 days.
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