Quantitative Aptitude Practice Question and Answer
8Q: In how many different ways could couples be picked from 6 men and 9 women ? 1196 05b5cc728e4d2b4197774f728
5b5cc728e4d2b4197774f728- 126false
- 254true
- 352false
- 428false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "54"
Explanation :
Answer: B) 54 Explanation: Number of mens = 8 Number of womens = 5 Different ways could couples be picked = C16× 9C1 = 9 x 6 = 54 ways.
Q: In a plane 8 points are colliner out of 12 points, then the number of triangles we get with those 12 points is 1193 05b5cc7b4e4d2b419777508ab
5b5cc7b4e4d2b419777508ab- 120false
- 2160false
- 3164true
- 4220false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 3. "164"
Explanation :
Answer: C) 164 Explanation: For a triangle, we need 3 non-collinear points. So with 12 points (when all the 12 are such that any three non-collinear is12C3. But among them 8 points are collinear. If all these 8 points are different we get 8C3 triangles as they are collinear. In 12C3 triangles, we do not get 8C3 triangles Therefore, The number of triangles we get = 12C3-8C3 = 164
Q: A train travelling at 48 kmph crosses another train, having half its length and travelling in opposite direction at 42 kmph, in 12 sec. It also covers a bridge in 45 sec. Find the length of the bridge ? 1190 05b5cc6c4e4d2b4197774dcc3
5b5cc6c4e4d2b4197774dcc3- 1250 mtsfalse
- 2400 mtstrue
- 3320 mtsfalse
- 4390 mtsfalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "400 mts"
Explanation :
Answer: B) 400 mts Explanation: Let the length of the 1st train = L mts Speed of 1st train = 48 kmph Now the length of the 2nd train = L/2 mts Speed of 2nd train = 42 kmph Let the length of the bridge = D mts Distance = L + L/2 = 3L/2 Relative speed = 48 + 42 = 90 kmph = 90 x 5/18 = 25 m/s(opposite) Time = 12 sec => 3L/2x25 = 12 => L = 200 mts Now it covers the bridge in 45 sec => distance = D + 200 Time = 45 sec Speed = 48 x5/18 = 40/3 m/s => D + 200/(40/3) = 45 => D = 600 - 200 = 400 mts Hence, the length of the bridge = 400 mts.
Q: Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 seconds. What is the length of the fast train? 1189 05b5cc6bee4d2b4197774d97e
5b5cc6bee4d2b4197774d97e- 127 7/9 mtstrue
- 225 8/7 mtsfalse
- 321 1/4 mtsfalse
- 422 mtsfalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 1. "27 7/9 mts"
Explanation :
Answer: A) 27 7/9 mts Explanation: Relative speed = (40 - 20) km/hr = 20 x 5 m/sec = 50 m/sec. 18 9 Length of faster train = 50 x 5 m = 250 m = 27 7 m. 9 9 9
Q: A train is moving and crossing a man who is running on a platform of 100 m at a speed of 8 kmph in the direction of the train, in 9 sec. If the speed of the train is 74 kmph. Find the length of the train ? 1188 05b5cc6c3e4d2b4197774dc27
5b5cc6c3e4d2b4197774dc27- 1202 mtsfalse
- 2188 mtsfalse
- 3165 mtstrue
- 4156 mtsfalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 3. "165 mts"
Explanation :
Answer: C) 165 mts Explanation: Let the length of the train = L mts Relative speed of train and man = 74 - 8 = 66 kmph = 66 x 5/18 m/s => 66 x 5/18 = L/9 => L = 165 mts.
Q: 36 of what number is 18? 1178 05b5cc697e4d2b4197774c604
5b5cc697e4d2b4197774c604- 138false
- 242false
- 350true
- 462false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 3. "50"
Explanation :
Answer: C) 50 Explanation: Let the required number be 'p' 36 of what number is 18 implies 36% of p = 18 => 36 x p/100 = 18 => p = 1800/36 => p = 50. Hence, 36% of 50 is 18.
Q: 3/8 as a decimal 1177 05b5cc658e4d2b4197774bda4
5b5cc658e4d2b4197774bda4- 11.375false
- 22.375false
- 30.375true
- 43.75false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 3. "0.375"
Explanation :
Answer: C) 0.375 Explanation: Expressing 3/8 as a decimal fraction: We can convert 3/8 into a decimal fraction by just dividing 3 by 8 or making 3 into 8 parts. Then, it is 3/8 = 0.375 as a decimal fraction. Other Method:: 3/8 as a Decimal : In this we should convert the denominator into 10, 100, 1000, 10000, 100000,... to make it simple. Now to make 8 into 1000, we multiply numerator and denominator with 125 => (3 x 125)/(8 x 125) = 375/1000 = 0.375.
Q: The length of a rectangle is 10 cm more than the breadth. Find the diagonal length of rectangle if perimeter is 44 cm ? 1177 05b5cc6cae4d2b4197774e06d
5b5cc6cae4d2b4197774e06d- 112.50 cmfalse
- 214.21 cmfalse
- 315.98 cmfalse
- 417.08 cmtrue
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 4. "17.08 cm"
Explanation :
Answer: D) 17.08 cm Explanation: Let the length of the rectangle = L cm Then the breadth of the rectangle = (L - 10) cm Perimeter of a rectangle = 2(L + B) cm => 44 = 2(L + L - 10) => 44 = 4L - 20 => 4L = 64 => L = 16 cm => B = L - 10 = 6 cm Diagonal = L2+B2 = 162+62 = 17.08 cm