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- Question
A Cricket team of 23 people all shake hands with each other exactly once. How many hand shakes occur ?
Options- A. 142
- B. 175
- C. 212
- D. 253
- Correct Answer
- 253
ExplanationThe first person shakes hands with 22 different people, the second person also shakes hands with 22 different people, but one of those handshakes was counted in the 22 for the first person, so the second person actually shakes hands with 21 new people. The third person, 20 people, and so on...
So,
22 + 21 + 20 + 19 + 18 + 17 + 16 + 15 + 14 + 13 + 12 + 11 + 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1
= n(n+1)/2 = 22 x 23 /2 = 11 x 23 = 253. - 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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