Sample Aptitude Questions of GE

  1. 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?
    1. 22/55
    2. 3/55
    3. 28/55
    4. 9/11
    5. None of these
    Answer: Option C.
    Here n(S) = 11C2
    Now, two balls can be drawn from 5(black)+3(red) balls = 8 balls in 8C2 ways
    ∴ n(E) = 8C2
    Now, P(E) =
    8C2/11C = 28/55
    Other method:
    Required probability
    = 1 - (27/55) = 28/55
  2. 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?
    1. 2/11
    2. 8/11
    3. 9/11
    4. 3/11
    5. None of these
    Answer: Option D.
    Selecting 1 black ball out of 5 = 5C1  ways
    Selecting on red ball out of 3 = 3C1  ways
    The required probability = (5C1 × 3C1)/11C2 = 3/11
  1. What should come in place of question mark (?) in the following number/alphabetic series?
    24 ? 109 134 150 159
    1. 71
    2. 65
    3. 86
    4. 53
    5. None of these
    Answer: Option E.
    73
    Here, 24+72=73
    73+62=109
    109+52=134
    134+42=150
    150+32=159
    Hence, the question mark(?)should be replaced by 73.
  2. 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?
    1. 12 kmph
    2. 28 kmph
    3. 16 kmph
    4. Cannot be determined
    5. 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
  3. A man buys a land and gives for it 20 times the annual rent Find the rate of interest he gets for his money.
    1. 10%
    2. 24%
    3. 45%
    4. 18%
    5. 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.
  4. 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.
    1. 24km
    2. 22km
    3. 28km
    4. 26km
    5. 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
  5. 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?
    1. 7%
    2. 9%
    3. 10%
    4. 13%
    5. 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%<
  6. 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?
    1. 30 minutes
    2. 36 minutes
    3. 40 minutes
    4. 45 minutes
    5. 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.
  7. A shopkeeper sells sugar at a profit of 20% and uses a weight which is 25 % less. What is total % gain?
    1. 45%
    2. 22.5%
    3. 55%
    4. 60%
    5. 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%
  8. 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?
    1. 690
    2. 780
    3. 740
    4. 749
    5. 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

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