Please wait...

SBI PO Aptitude Test - 14
Menu grid icon
Result Result point icon
SBI PO Aptitude Test - 14
  • Goals icon

    /

    Score
  • Trophy icon

    -

    Rank
White alarm icon Time Taken: -
Result frame illustration
  • Question 1/10
    1 / -0

    Compare the values of the two quantities in the question and answer.

    Quantity 1: Solve for x: (49x2 + 84x + 36= 0)

    Quantity 2: Solve for y: (70y2 - 3y - 54 = 0)

    Solutions

    Solving for Quantity 1:

    ⇒ 49x2 + 84x + 36 = 0

    ⇒ 49x2 + 42x + 42x + 36 = 0

    ⇒ 7x(7x +6) + 6(7x + 6) = 0

    ⇒ (7x+6)(7x+6) = 0

    ⇒ x = - 6/7

    ⇒ x = -0.86

    ⇒ Quantity 1 = -0.86

    Solving for Quantity 2:

    ⇒ 70y2 - 3y - 54 = 0

    ⇒ 70y2 + 60y - 63y - 54 = 0

    ⇒ 10y(7y+6) - 9(7y+6)= 0

    ⇒ 10y-9)(7y+6) = 0

    ⇒ y = - 6/7, 9/10

    ⇒ y = - 0.86, 0.9

    ⇒ Quantity 2 = - 0.86, 0.9

    ∴ Quantity 1 ≤ Quantity 2

     

  • Question 2/10
    1 / -0

    In the following questions two equations numbered I and II are given. You have to solve both the equations and give answer.

    I. 9x2 + 4x – 5 = 0

    II. 7y2 + y – 6= 0

    Solutions

     

  • Question 3/10
    1 / -0

    In the following questions two equations numbered I and II are given. You have to solve both the equations and give answer.

    I. 2x2 + 28x + 96 = 0

    II. 3y2 + 21y + 30 = 0

    Solutions

     

  • Question 4/10
    1 / -0

    A test has 80 questions. There is one mark for a correct answer, while there is a negative penalty of –1 /2 for a wrong answer and –1/4 for an unattempted question. What is the number of questions answered correctly, if the student has scored a net total of 34.5 marks?

    Solutions

     

    There would be multiple ways of scoring 34.5 marks. Think about this as follows:

     

    If he solves 80 and gets all 80 correct, he would end up scoring 80 marks.

    With every question that would go wrong his score would fall down by: 1.5 marks (he would lose the 1 mark he is gaining and further attract a penalty of 0.5 marks).

    Also, for every question he does not attempt his score would fall down by: 1.25 marks (he would lose the 1 mark he is gaining and further attract a penalty of 0.25 marks).

    Thus, his score would drop @ 1.5 and @ 1.25 marks for every wrong and every unattempted question respectively.

    Also, to get a total of 34.5 marks overall he has to lose 45.5 marks.

    There are many possible combinations of non–attempts and wrongs through which he can possibly lose 45.5 marks–for example:

    17 wrongs (loses 25.5 marks) and 16 non–attempts (loses 20 marks)

    12 wrongs (loses 18 marks) and 22 non–attempts (loses 27.5 marks)

    Hence, we cannot answer this question uniquely and the answer is Option (d).

     

  • Question 5/10
    1 / -0

    A - A shopkeeper sold an article at 20% profit. Had he sold the article for Rs. 20 less and he reduces the cost price of article by Rs.40, then he gains 5% more profit. What is the cost price of the article?

    B - The cost price of article which he sold for Rs. 960 at 25% profit.

    Solutions

     

  • Question 6/10
    1 / -0

    A = 25% of B, B =  33⅓ % of C, B = 25% of D, A =  6 ¼ % of D, C = 75% of D and A = 40% of E.

    The values of A, B, C, D and E are integer values and all the values are less than 50.

    x - What is the sum of values of (A + B + C + D + E)?

    y - 123

    Solutions

       

     

  • Question 7/10
    1 / -0

    The speed of a boat in still water and speed of current is in ratio of 7 : 3. If the difference between distance covered by boat in 4 hours downstream and in 3 hours upstream is 112 km. Then find:

    A. Speed of boat in still water.

    B. Speed of car which goes 364 km in 13 hours.

    Solutions

     

  • Question 8/10
    1 / -0

    A train is running with a certain speed. Another train is moving in opposite direction and its speed is 60 km/h. Length of first train is 20% less than that of second train which crosses a person standing on platform in 18 seconds, while both trains cross each other in 15 seconds. What is the speed of first train?

    Solutions

     

  • Question 9/10
    1 / -0

    Rahul starts a business with an investment of Rs. 100000. Capital of Vivek is 50% more than the capital of Rahul and his time of investment is 30% less than that of Rahul. Karan joins Rahul with starting and his capital is 60% of the total capital of Rahul and Vivek. If their profit was Rs. 639000 after one year, then what is the share of Vivek?

    Solutions

     

  • Question 10/10
    1 / -0

    A can complete a piece of work in 30 days. B is 20% more efficient worker than C. B and C together can complete the same work in 40% less time than A. A starts the work with B but after 5 days C replaces B, then how many days required to complete the remaining work?

    Solutions

     

Close button icon
User Profile
-

Correct (-)

Wrong (-)

Skipped (-)

  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10
Mockers logo Get latest Exam Updates
& Study Material Alerts!
No, Thanks
Arrow pointer icon
Click on Allow to receive notifications
Notification bell icon ×
Open Now