# Quantitative Aptitude Question asked in SBI PO Prelims Exam 2017 – Word Problems

Maths Questions Asked SBI PO Prelims: Dear Aspirants, In this post we are providing you some of the Memory based Word Problems along with their solutions from Quantitative Aptitude section asked in SBI PO Prelims Exam 2017.

Q. 1 A dealer sell two A and B article at 20% and 30% profit. Total profit earned by him is Rs. 140 . Cost price of article A is 50 less than cost price if article B. Find the cost price of B.

Q. 2 A Vessel contain milk and water in 7:1. 1/10 mixture taken out and 3 litre water added. Finally jar milk and water ratio is 6:1. Find initial quantity of mixture.

Q.3 A,B,C started a business at initial capital in  ratio 2:3:4. At the end of six month, A invest amount such that his initial capital become equal to B’s initial investment. B’s annual profit is 3000. What is total profit?

Q.4 Suman spend 36% on food. Remaining ¼ on brother and ⅜ on sister. Difference of amount given to brother and sister is 1200. What is Suman total savings ?

Q.5 Time taken by A alone to finish a work is 50% more than time taken by A+B together. B is thrice as efficient as C. if B+C together can complete work in 22.5 days, how many days taken by A alone to complete the work?

Q.6 Ratio of Curved Surface Area and volume of cylinder is 2:21 and Ratio of diameter and height of cylinder is 7:3. Find Total Surface Area of the cylinder?

Q.7 The time taken for covering a distance of ‘X’ Km by downstream is equal to ‘X-18’ by covering upstream. Upstream speed is less than 6 km/hr than that of down stream. If the speed of the boat in still water is 15 km/hr. What is the value of ‘X’.

Q.8 B is 20% efficient than A. B started the work & do it for x days. And then B is replaced A . And A completed the remaining work in x+8 days. Ratio of work done by A & B is 2:3. In how many day A & B working together to complete the whole work?

Q.9 A sum of Rs. 91,00 is borrowed at 20% per annum compounded annually. If the amount is to be paid in two years, the amount will be ?

Q.10 A,B and C started a business and invested in the ratio of 3:4:5. After 4 months, A withdraw 1/12th amount of what B and C invested. If the annual income was 9200, then what was share of B ?

Solutions :
1). Cost price of B = x
Cost price of A = x – 50
= (x – 50) × 20/100 + x × 30/100 = 140
= (20x – 1000 + 30x)/100 = 140
= 50x – 1000 = 140 × 100
= 50x – 1000 = 14000
= 50x = 14000 + 1000
= 50x = 15000
= x = 15000/50
= x = 300

2) Milk and Water = 7x : 1x
1/10 is take out = 7 – 0.7 : 1 – 0.10
Milk and Water = 6.3x : 0.9x
Add 3 litres of water and after add that ratio is
6 : 1
= 6.3x/0.9x + 3 = 6/1
= 6.3x = 6 × 0.9x + 3
= 6.3x = 5.4x + 18
= 6.3x – 5.4x = 18
= 0.9x = 18
X = 18/0.9
X = 20
Initial quantity of Milk and Water
= 7x : 1x
= 7 × 20 : 1 × 20
= 140 : 20

3) A : B : C = 2 : 3 : 4
= (2 × 6) + (3 × 6) : 3 × 12 : 4 × 12
= (12 + 18) : 36 : 48
= 30 : 36 : 48
= 5 : 6 : 8
B’s annual profit is 3000
= 3000/6 = 500
Total profit = 500 × 19
= 9500

4) Food = 36x
Brother = 16x
Sister = 24x
Difference of brother and sister
= 24x – 16x = 1200
= 8x = 1200
= x = 1200/8 = 150
X = 150
Savings = Income – Expenditure
= 100 – 36 – 16 -24 = 24
Savings is 24x = 24 × 150
= 3600

5) B and C working together = 22.5
B is thrice as efficient as C = 22.5 × 4/3 = 30
B finishes the work in 30 days
C finishes the work in 90 days
A and B together finish the work in x days
A alone to finish a work is 50% more than time
taken by A+B together
So A = 1.5x
= 1/x – 1/30 = 1/1.5x
= 1/x – 1/1.5x = 1/30
= 1.5x – 1x/1.5x = 1/30
= 0.5x/1.5x = 1/30
= 1/30 × 1.5x/0.5x
X = 10
Therefore A = 1.5x
= A = 1.5 × 10 = 15
A can do it in 15 days

Thanks..!!