**A basket contains 3 blue, 5 black and 3 red balls. If two balls are drawn at random, what is the probability that none of them is blue?**- 22/55
- 3/55
- 28/55
- 9/11
- None of these

Answer: Option C.

Here n(S) =^{11}C_{2}

Now, two balls can be drawn from 5(black)+3(red) balls = 8 balls in^{8}C_{2}ways

∴ n(E) =^{8}C_{2}

Now, P(E) =^{8}C_{2}/^{11}C = 28/55

Other method:

Required probability

= 1 - (27/55) = 28/55**A basket contains 3 blue, 5 black and 3 red balls. If 2 balls are drawn at random, what is the probability that one is black and one is red?**- 2/11
- 8/11
- 9/11
- 3/11
- None of these

Answer: Option D.

Selecting 1 black ball out of 5 =^{5}C_{1}ways

Selecting on red ball out of 3 =^{3}C_{1}ways

The required probability = (^{5}C_{1}×^{3}C_{1})/^{11}C_{2}= 3/11**What should come in place of question mark (?) in the following number/alphabetic series?**

24 ? 109 134 150 159- 71
- 65
- 86
- 53
- None of these

Answer: Option E.

73

Here, 24+7^{2}=73

73+6^{2}=109

109+5^{2}=134

134+4^{2}=150

150+3^{2}=159

Hence, the question mark(?)should be replaced by 73.**A boat takes 8 hours to cover a distance while travelling upstream, whereas while travelling downstream it takes 6 hours. If the speed of the current is 4 kmph, what is the speed of the boat in still water?**- 12 kmph
- 28 kmph
- 16 kmph
- Cannot be determined
- None of these

Answer: Option B.

No matter if the boat goes upstream or downstream, Distance covered is same. So we can simply equate the two distances.

We have (x+4) × 6 = (x-4) × 8

Where x = speed of the boat in still water

Now, 6x + 24 = 8x - 32 or x = 28

Hence, the required speed = 28 km/hour**A man buys a land and gives for it 20 times the annual rent Find the rate of interest he gets for his money.**- 10%
- 24%
- 45%
- 18%
- 5%

Answer: Option E.

Let annual rent is 1 Rs. so buys the land at 20 Rs. So by investing Rs.20 he is getting Rs.1 as interest. so on Rs.100 he gets Rs.5 . so rate%=5%.Hence option E is the answer.GE Preparation Links- Sample Aptitude Questions of GE
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**A man while returning from his factory, travels 2/3 of the distance by bus, 3/4 of the rest by car and remaining by foot. If he travels 2 km on foot, find the distance covered by him.**- 24km
- 22km
- 28km
- 26km
- None of these

Answer: Option A.

Let total distance be D kms

2/3D + 1/3*3/4D + 2 = D

Therefore D = 24 km

Or going by options

Bus = (2/3) * 24 = 16,

Remaining = 24 - 16 = 8, car = (3/4) * 8 = 6

Total distance = 16 + 6+ 2 = 24km**Mira’s expenditure and saving are in the ratio 3:2. Her income increases by 10%. Her expenditure also increases by 12%. By how much % do her saving increase?**- 7%
- 9%
- 10%
- 13%
- None of these

Answer: Option A.

Let total income be = 5

Increased income will be = 5.5

Increased expenditure will be = 3.36

Increased saving will be = 5.5 - 3.36 = 2.14

Percentage increase will be = (14/2) * 100 = 7%<**A thief goes away in a car at a speed of 60 kmph. A cop starts chasing the thief after 15 minutes in a car at a speed of 80 kmph. When will the cop overtake the thief from the start?**- 30 minutes
- 36 minutes
- 40 minutes
- 45 minutes
- 50 minutes

Answer: Option D

In 15 minutes thief will be 15 Km away . There will be a gap of 15 Km between thief and police . This gap will be covered with a relative speed of 80 -60=20 Km/h .So thief will be overtaken in 15/20 hours= 45 minutes.**A shopkeeper sells sugar at a profit of 20% and uses a weight which is 25 % less. What is total % gain?**- 45%
- 22.5%
- 55%
- 60%
- None of these

Answer: Option D.

Let cost of 1 gram of sugar is 1 Rs.

So cost price of 1000 gram is 1000Rs.

As per question, Selling price of 1000 gram is 1200 Rs.

But he uses weight 25% less i.e. 750 gram for a Kg.

So SP of 750 gram is 1200 Rs. while its CP is 750 Rs.

Hence profit %=450/750 =3/5=60%**In an examination it is required to get 296 of the total maximum aggregate marks to pass. A student gets 259 marks and is declared failed. The difference of marks obtained by the student and that required to pass is 5%. What are the maximum aggregate marks a student can get?**- 690
- 780
- 740
- 749
- None of these

Answer: Option C.

Let the aggregate marks be x

Therefore, 296 - 259 = 37 will be 5% of the x

Thus, (5/100) * x = 37

=> x = 740