SBI PO Quantitative Aptitude Quiz: 17th May

Directions (1-3): The following questions are accompanied by two statements (A) and (B). You have to determine which statements(s) is/are sufficient/necessary to answer the questions. 


Q1. In a box three type of balls are there, Black, Red and White. If no. of white balls is given then find out the probability of getting one white ball. 
(A) Probability of getting one Red ball is given. 
(B) Probability of getting one black ball is given.

Solution:

Q2. What is the volume of the sphere? 
(A) Surface area of hemisphere is equal to the total surface area of the cylinder having radius and height in ratio 3 : 4. 
(B) When we cut sphere into two hemi-sphere then total surface area is equal to the area of a circle whose radius is 21 cm.

Q3. A shopkeeper gets a loss of 70 Rs. when he sold an article at 20% discount on M.P. Find cost price of Article. 
(A) % of mark up above cost price is equal to % discount given on M.P. 
(B) when no discount is given, article sold at profit of 350 Rs.

Solution:

From A→
Discount % = 20% = Mark up%
If cost price is 100x then Markup price 120x and selling price is → 96x
So ATQ,
100x – 96x = 70

From B→
Let mark up price is → 100x
When discount is given
Then selling price is → 80x
And cost price is → 80x + 70
When no discount is given
Then selling price is → 100x
And cost price is → 100x – 350
ATQ,
100x – 80x = 350 + 70
20x = 420
100x = 2100
80x = 1680
C.P. → 1680 + 70 = 1750
So Either A or B alone required.

Q4. A boat goes 24 km upstream and 28 km downstream in 6 hrs. and also goes 30 km upstream and 21 km downstream in 6 hr and 30 minutes. The speed of boat in still water is ?

Solution:

Q5. A set of consecutive numbers from 1 to 15 are written on the paper. A man erased two numbers, and average of remaining numbers isfind the sum of square of two numbers which are erased if they are in ratio of 2: 3.

Solution:

Directions (6-10): What value will come in place of the question mark (?) in the following question? 


Q6.

Solution:

Q7.

Solution:

Q8. 40% of ? + 55% of 360 = 36% of 450 + 10²

Solution:

Q9.

Solution:

Q10.

Solution:

Directions (11-13): The following questions are accompanied by two statements A and B. You have to determine which statements(s) is/are sufficient/necessary to answer the questions. 


Q11. Calculate SP of article A, If shopkeeper earns a profit of 20% on its CP. 
(A) He marked up the price Rs. 75 more than its CP. 
(B) Had he give discount of 10% on its MP, he would earn Rs. 7.5 less rupees than actual.

Solution:

From question, Let CP be 100x, then SP is 120x.
From (A)
MP = 100x + 75
From (B) we don’t know the MP, so it can’t be calculated from (ii) alone
hence using both statements

1200x – 900x – 675 = 75
300x = 750
x = 2.5
therefore, SP = 300.
Both statements are required to solve this.

Q12. Find the speed of boat in still water. 
(A) time taken to cover a distance of 18 km, first in upstream, then in downstream is 4 ½ hours. 
(B) If the speed of current gets doubled, then time taken to cover 18 km, first in downstream, then in upstream is 7 ⅕ hours.

Solution:

Q13. Find the volume of right angle cone ? 
(A) Curved surface area of cone 18π units and T.S.A. of cone 50% more than curved surface area. 
(B) Volume of cylinder of twice the radius as that of cone & √3 time the height as that cone is 324π cubic units.

Solution:

Q14. A boat goes 28 km downstream and while returning covered only 75% of distance covered in downstream, if boat takes 3 hr more to cover upstream than downstream. Find the speed of boat in still water (km/hr) if speed of current is 5/9 m/sec?

Solution:

Q15. Ratio of age of Vikas to age of Rohit 2: 3 and average age of Rohit, Vikas and Rahul is 23. When Arjun joins the group average age of these 4 persons is 25 years. Calculate sum of age of Arjun and Rahul, if Rahul is 13 years older than Vikas ?