Sample Aptitude Questions of Goldman Sachs

Goldman Sachs conducts Aptitude test for a few selected profiles. Many companies today require candidates to qualify given aptitude tests as a part of their selection process. These tests are concerned with evaluating mental agility and problem solving ability. They check the right fitment of a candidate with a particular job profile. For instance, a financial analyst role would require smart reasoning and swift data inference.
Since Goldman Sachs’s aptitude test may be conducted in future, we are providing the below sample quantitative aptitude questions:
  1. If 5 students utilize 18 pencils in 9 days, how long at the same rate will 66 pencils last for 15 students?
    1. 10 days
    2. 12 days
    3. 11 days
    4. None of these
    Answer: Option 3
    Required number of days = 9 X 5/15 X 66/18 = 11 days
  1. A man rows 8 km/hr in still water. If the river is running at 2 km/hr, it takes 32 minutes to row to a place and back. How far is the place?
    1. 1.5 km
    2. 2.5 km
    3. 2 km
    4. 3 km
    Answer: Option 3
    Upstream speed = 8 – 2 = 6 km/h,
    Downstream speed = 8 + 2 = 10 km/h
    D/10 + D/6 = 32/60
    , solving we get D = 2 km.
    OR simply checking by the options
  2. A person on tour has Rs. 360 for his daily expenses. He decides to extend his tour programme by 4 days which leads to cutting down daily expenses by Rs. 3 a day. The number of days of his tour programme is
    1. 15
    2. 20
    3. 18
    4. 16
    Answer: Option 1
    On checking the options we find that if the tour is for 20 days then the daily expenses will be Rs 18. To extend the tour by 4 days would make the tour for 24 days and the daily expense will become Rs 15, so the total bill will be Rs 24×15 = Rs 360, the same as before.
  1. The tax on a commodity is diminished by 10 % and its consumption increased by 10 %. The effect on the revenue derived from it changes by K %. Find the value of K.
    1. 1
    2. 2
    3. -1
    4. -2
    Answer: Option 3
    Directly using the formula, when a value is increased by R% and then decreased by R%, then net there is R2/100% decrease.
    Putting R = 10, we get 1 % decrease.
  2. Out of 80 students in a class, 25 are studying commerce, 15 mathematics and 13 physics. 3 are studying commerce and mathematics, 4 are studying mathematics and physics and 2 are studying commerce and physics. 1 student is studying all the three subjects together. How many students are not studying any of the three subjects?
    1. 35
    2. 40
    3. 20
    4. 15
    Answer: Option 1
    n(CMP) = n(C) + n (M) + n (P)
    – n (CM) – n (MP) – n (CP) + n (CMP)
    = 25 + 15 + 13 – 3 – 4 – 2 + 1 = 45 students.
    So the number of students not studying any subject = 80 – 45 = 35.
  1. A portion of a 30 m long tree is broken by a tornado and the top strikes the ground making an angle of 30° with the ground level. The height of the point where the tree is broken is equal to
    1. 30/√3 m
    2. 10 m
    3. 30√3 m
    4. 60 m
    Answer: Option 2

    The height of the tree = 30m.
    So, x + y = 30m
    Also sin30 1/2 = x/y x = 2y.
    So 3x = 30,
    x = 10 m.
  2. Anil is at present one-fourth the age of his father. After 16 years he will be one-half of the age of his father. Find the present age of Anil's father.
    1. 40 years
    2. 36 years
    3. 32 years
    4. 28 years
    Answer: Option 3
    Let the present ages of Anil and his father be A and F respectively.
    Given A = 1/4 F Also A+16 = 1/2 (F+16),
    Solving we get F = 32 years.
    OR checking by options.
    If Anil’s father’s present age is 32, then Anil’s age is one fourth i.e. 8.
    After 16 years, Anil would be 24 years and father will be 48 years old, so Anil’s age is half of his father.
  3. A man sitting in a train travelling at the rate of 50 km/hr observes that it takes 9 sec for a goods train travelling in the opposite direction to pass him. If the goods train is 187.5 m long, find its speed.
    1. 25 km/hr
    2. 40 km/hr
    3. 35 km/hr
    4. 36 km/hr
    Answer: Option 1
    Let required speed be x.
    187.5/(x+50)5/18 = 9
    x = 25 km/hr
  4. A sum was put at simple interest at a certain rate for 3 years. Had it been put at 1% higher rate, it would have fetched Rs. 5,100 more. The sum is
    1. Rs. 1,70,000
    2. Rs. 1,50,000
    3. Rs. 1,25,000
    4. Rs. 1,20,000
    Answer: Option 1
    Let the principal = p.
    Time = 3 years.
    So 1% of p for 3 years = Rs 5100.
    p = Rs 170,000.
  5. Fill pipe A is 3 times faster than second Fill pipe B and takes 32 minutes less than Fill pipe B. When will the cistern be full if both pipes are opened together?
    1. 25 minutes
    2. 24 minutes
    3. 30 minutes
    4. 12 minutes
    Answer: Option 4
    Let the time taken by A to fill the pipe is = A min.
    So the time taken by B to fill the pipe B is = B min.
    According to the given condition B = 3A;
    and given that B – A = 32 min.
    So solving we get A = 16 min, B = 48 min.
    Let the total work be 48 units.
    So time taken by them together is 48/4 = 12 min.
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