Quantitative Aptitude Practice Question and Answer
8Q: In how many different ways could couples be picked from 6 men and 9 women ? 1121 05b5cc728e4d2b4197774f728
5b5cc728e4d2b4197774f728- 126false
- 254true
- 352false
- 428false
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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 how many ways can the letters of the word 'LEADER' be arranged ? 1120 05b5cc71ee4d2b4197774f58b
5b5cc71ee4d2b4197774f58b- 1360true
- 2420false
- 3576false
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Answer : 1. "360"
Explanation :
Answer: A) 360 Explanation: No. of letters in the word = 6No. of 'E' repeated = 2Total No. of arrangement = 6!/2! = 360
Q: 10 boys can complete a work in 7 days and 10 girls take 14 days to complete the work. How many days will 5 boys and 10 girls take to complete the work ? 1118 05b5cc6dee4d2b4197774ea85
5b5cc6dee4d2b4197774ea85- 113 daysfalse
- 210 daysfalse
- 37 daystrue
- 416 daysfalse
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Answer : 3. "7 days"
Explanation :
Answer: C) 7 days Explanation: 1 boy's 1 day work = 1/70 1 girl's 1 day work = 1/140 (5 boys + 10 girls)'s 1 day work = (5/70 + 10/140) = (1/14 + 1/14) = 1/7 5 boys and 10 girls will complete the work in 7 days.
Q: The compound interest on Rs. 8000 for 3 year at 10% p.a. is 1118 05b5cc6b9e4d2b4197774d6df
5b5cc6b9e4d2b4197774d6df- 12648true
- 22145false
- 32587false
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Answer : 1. "2648"
Explanation :
Answer: A) 2648 Explanation: 8000 × 33.1% = 2648
Q: In a plane 8 points are colliner out of 12 points, then the number of triangles we get with those 12 points is 1114 05b5cc7b4e4d2b419777508ab
5b5cc7b4e4d2b419777508ab- 120false
- 2160false
- 3164true
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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: 54, 60 LCM is 1112 05b5cc6bce4d2b4197774d891
5b5cc6bce4d2b4197774d891- 1600false
- 2540true
- 360false
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Answer : 2. "540"
Explanation :
Answer: B) 540 Explanation: Here the LCM of 54, 60 is => 2 x 3 x 3 x 3 x 10 = 6 x 9 x 10 = 54 x 10 = 540.
Q: In How many ways can the letters of the word 'CAPITAL' be arranged in such a way that all the vowels always come together? 1106 05b5cc7b4e4d2b41977750897
5b5cc7b4e4d2b41977750897- 1360true
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Answer : 1. "360"
Explanation :
Answer: A) 360 Explanation: CAPITAL = 7 Vowels = 3 (A, I, A) Consonants = (C, P, T, L) 5 letters which can be arranged in 5P5=5! Vowels A,I = 3!2! No.of arrangements = 5! x 3!2!=360
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 ? 1104 05b5cc6c4e4d2b4197774dcc3
5b5cc6c4e4d2b4197774dcc3- 1250 mtsfalse
- 2400 mtstrue
- 3320 mtsfalse
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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.