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- Question
- Cards are down at random from a pack of 200 cards numbered 1 to 200. Find the probability of drawing a number which is a perfect cube?
Options- A. 1/40
- B. 3/40
- C. 7/40
- D. 19/40
- Correct Answer
- 1/40
ExplanationTotal number of ways of selecting 1 card from 200 cards is 200C1 ways.
Let E be an event of drawing a number which is a perfect cube.
E = {1, 8, 27, 64, 125 }
? P(E) = n(E) / n(S)
= 5C1 / 200C1 = 5/200 = 1/40 - 1. A chocolate has 12 equal piece. Monju gave 1/4 th of it to Anju, 1/3 rd of it to Sujata and 1/6 th of it to Fiza. The number of piece of chocolate left with Manju is?
Options- A. 1
- B. 2
- C. 3
- D. 4 Discuss
- 2. Third power of 4 is equivalent to :
Options- A. 64
- B. 81
- C. 12
- D. 49 Discuss
- 3. What number should be added to 231228 to make it exactly divisible by 33?
Options- A. 1
- B. 2
- C. 3
- D. 4 Discuss
- 4. The probability of drawing a red card from a deck of playing cards is
Options- A. 2/18
- B. 1/13
- C. 1/4
- D. 1/2 Discuss
- 5. [1/(1.2.3)] + [1/(2.3.4)] + [1/(3.4.5)] + [1/(4.5.6)] is equal to
Options- A. 7 / 30
- B. 11 / 30
- C. 13 / 30
- D. 17 / 30 Discuss
- 6. Two boys, A and B, runs at 4 1? 2 and 6 Km an hour. A having 190 m start. The course being 1 Km, B wins by a distance of :
Options- A. 60 m
- B. 65 m
- C. 45 m
- D. 75 m Discuss
- 7. 30% of 80/? = 24
Options- A. 3/10
- B. 3/17
- C. 1
- D. 2 Discuss
- 8. A railing of 288 m is required for fencing a semi-circular park. Find the area of the park. (? = 22/7)
Options- A. 4928 m2
- B. 9865 m2
- C. 8956 m2
- D. 9856 m2 Discuss
- 9. 1178.999 x 25.001 - ? ? x 16.0011 = 29075
Options- A. 25
- B. 15
- C. 575
- D. 625 Discuss
- 10. 1, 1, 2, 6, 24, 96, 720
Options- A. 720
- B. 96
- C. 24
- D. 6
- E. 2 Discuss
More questions
Correct Answer: 3
Explanation:
The number of pieces of chocolate left with Manju
= 1- [(1/4) + (1/3) + (1/6)
= 1 - (3 + 4 + 2)/12
= 1 - 9/12 = (12 - 9) / 12
= 3/12
Correct Answer: 64
Explanation:
Third power of 4 = 43 = 4 × 4 × 4 = 64
Correct Answer: 3
Explanation:
Correct Answer: 1/2
Explanation:
Total number of cards n(S) = 52
Number of red cards n(E) = 26
? P(E) = n(E)/n(S) = 26/52 = 1/2
Correct Answer: 7 / 30
Explanation:
Given Exp. = [(4 x 5 x 6) + (5 x 6) + (2 x 6) + (2 x 3)] / [(2 x 3 x 4 x 5 x 6)]
= 168 / (24 x 30)
= 7 / 30
Correct Answer: 60 m
Explanation:
Speeds (in m/sec) of A and B are
9 / 2 * 5 / 18 = 5 / 4 and 6 * 5 / 18 = 5 / 3, respectively.
A has a start of 190 m.
So, A has to run 1000 - 190 = 810 m, while B 1000 m.
Time taken by B to cover 1000 m = 3 5 × 1000 = 600 seconds.
In this time, A covers 5 × 600 / 4 = 750 m.
So, B reaches the winning post while A remains 810 - 750 = 60 m behind.
? B wins by 60 m.
Correct Answer: 1
Explanation:
Let 30% of 80/y =24
? 24y = (30 x 80)/100
? y = (30 x 80)/ (24 x 100) =1
Correct Answer: 4928 m2
Explanation:
Let the radius of the park be r, then
?r + 2r = 288
(? + 2)r = 288
? [(22/7) + 2]r = 288
? r = (288 x 7)/36 = 56
? Area of the park = (1/2)?r2
= (1/2) x (22/7) x 56 x 56
= 4928
Correct Answer: 625
Explanation:
1178.999 x 25.0001 - ?? x 16.0011 = 29075
? 1179 x 25 - ?? x 16 = 29075
? 29475 - ?? x 16 = 29075
? ?? x 16 = 29475 - 29075 = 400
? ?? = 25
? ? = 25 x 25 = 625
Correct Answer: 96
Explanation:
So, 96 is wrong.
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