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A basket contains 5 red 4 blue 3 green bags. If three bags picked up random, What is the probability that either all are green or all are red?

Correct

Answer – 1. 1/20 Explanation :
Total bags = 12
Either all are green or all are red = 5c3 + 3c3
probability = 5c3 + 3c3/12c3 = 11/220 = 1/20

Incorrect

Answer – 1. 1/20 Explanation :
Total bags = 12
Either all are green or all are red = 5c3 + 3c3
probability = 5c3 + 3c3/12c3 = 11/220 = 1/20

Question 6 of 10

6. Question

1 points

Category: Quantitative Aptitude

Train L, 220m long, can cross a 340 m long platform in 32 s. If the respective ratio of speed of trains L & M is 7 :9 and the length of train M is 270 m , how much time (in s) would train M take to cross an electric pole?

Correct

Answer – 2. 12 Explanation:
Speed of train L = (340=220)/32= 17.5 m/sec
Speed of train M = 17.5 * 9/7=22.5 m/sec
Time taken by train M to cross an electric pole
=270/22.5= 12 s

Incorrect

Answer – 2. 12 Explanation:
Speed of train L = (340=220)/32= 17.5 m/sec
Speed of train M = 17.5 * 9/7=22.5 m/sec
Time taken by train M to cross an electric pole
=270/22.5= 12 s

Question 7 of 10

7. Question

1 points

Category: Quantitative Aptitude

A ground is in the form of a square one of whose sides is 50 m. The area of the ground excluding the circular lawn in the centre of the ground is 1884 m². The radius of the circular lawn is?

Correct

Answer – 4. 14 m Explanation :
Area of ground = 50 x 50 = 2500 m²
Area of circular lawn = Area of ground – area of ground excluding circular lawn
= 2500 – 1884
= 616
Area of circular lawn = (22/7) x r² = 616 m²
⇒ r² = (616 x 7) / 22
= 28 x 7
= 2 x 2 x 7 x 7
∴ r = 14 m

Incorrect

Answer – 4. 14 m Explanation :
Area of ground = 50 x 50 = 2500 m²
Area of circular lawn = Area of ground – area of ground excluding circular lawn
= 2500 – 1884
= 616
Area of circular lawn = (22/7) x r² = 616 m²
⇒ r² = (616 x 7) / 22
= 28 x 7
= 2 x 2 x 7 x 7
∴ r = 14 m

Question 8 of 10

8. Question

1 points

Category: Quantitative Aptitude

Three pipes L, M and N can fill a Container in 6 hours. After working at it together for 2 hours, N is closed and L and M can fill the remaining part in 7 hours. The number of hours taken by N alone to fill the Container is

Correct

Answer – 1. 14 hours Explanation :
Part filled in 2 hours = 2/6 = 1/3
Remaining Part = (1-1/3) = 2/3
(L + M)’s 7 hour work = 2/3
(L + M)’s 1 hour work = 2/21
N’s 1 hour work = (L + M + N) 1 hour work – (L + M) 1 hour work
= (1/6 – 2/21) = 1/14 = 14 hours

Incorrect

Answer – 1. 14 hours Explanation :
Part filled in 2 hours = 2/6 = 1/3
Remaining Part = (1-1/3) = 2/3
(L + M)’s 7 hour work = 2/3
(L + M)’s 1 hour work = 2/21
N’s 1 hour work = (L + M + N) 1 hour work – (L + M) 1 hour work
= (1/6 – 2/21) = 1/14 = 14 hours

Question 9 of 10

9. Question

1 points

Category: Quantitative Aptitude

Suresh found that he had made a loss of 10% while selling his laptop. He also found that had he sold it for Rs.50 more, he would have made a profit of 5%. The initial loss was what percentage of the profit earned, had he sold the laptop for a 5% profit?

Arun started a business, Bala and Chand joined him in the 1st year, they invested in the ratio of 5:4:7 respectively and the period for which they invested was in the ratio of 4:3:2 respectively. In the 2nd year, Arun doubled the investment, Bala and Chand continued with the same investment as they investor for the same number of month as they did in 1st year. The total profit in 2 years was 14000. What is Bala’s share of profit.?