Quant Quiz latest pattern based | 11th January 2018

Quant Quiz to improve your Quantitative Aptitude & Data Interpretation. For upcoming banking exams like SBI PO, SBI Clerk, IBPS PO, IBPS Clerk etc.

Directions (1 to 5): Given below is table which shows the ratio of efficiency of both A and B on different days and total time taken by A and B together to complete the work 1 if they complete whole work with respect to efficiency of different days.

There is also the line graph which shows the time taken by B to complete work 2 if it complete whole work with efficiency of different days.

Note- The ratio of efficiency of A to B to do work 2 on different days is same as data given in the table for work 1.

 Days Efficiency of A & B Time taken by both to complete work 1(hours) Mon. 3 : 2 3 Tue. 3 : 2 4 Wed. 7 : 9 6 Thr. 8 : 9 5 Frid. 5 : 4 8

Q1. A and B both started to complete work 1 on Tuesday but A left after working for 2 hours. Another person C whose efficiency is 60% of the efficiency of A (as of Tuesday) joins B. B leaves 2 hours before the completion of work then C alone finishes the remaining work. What is the total time in which work 1 is completed.

A) 105/2 hours

B) 107/13hours

C) 108/19hours

D) 110/19hours

E) 110/13hours

Q2. If a part of work 2 completed by 4 women in 5 hours equals to the part of work 2 done by B on Wednesday in 7 hours and ratio of efficiency of a women and a children to complete work 2 is 5 : 3 then in what time work 2 will be completed by 3 children.

A) 100/9 hours

B) 200/9 hours

C) 100/11 hours

D) 200/11 hours

E) 150/11 hours

Q3.  can complete a work in (n – m) hours while  can complete the same work in (n + m) hours where  is the time taken by A to complete work 2 on Tuesday and  is time taken by A to complete work 2 on Friday. Find the time in which  and  together can complete the work.

A) 3/2 hours

B) 7/4 hours

C) 7/5 hours

D) 8/3 hours

E) 9/5 hours

Q4. A and B started to complete work 1, alternatively starting from A on first hour on Monday then time taken by A and B  in completing 80% of work 1, alternatively on Monday is what percent more or less than time taken by A and B together to complete work 2 together on Friday.

A) 3%

B) 5%

C) 8%

D) 15%

E) 6%

Q5. If B with another person C works on work 2 on Friday for 2 hours than 80% of work 2 is completed then, time taken by C alone to finish work 2 is what percent to time taken by B to finish work 1 with efficiency of Friday.

A) 500/27%

B) 400/13%

C) 300/17%

D) 400/21%

E) 500/21%

Directions (6 to 8): Working efficiency of A is 20% more than that of B. B can complete a work ‘X’ in 36 days.

B and C together started to complete the work ‘X’ and after 10 days they both left the work and then remaining work is done by A alone in 15 days.

A and C together started to complete another work ‘Y’ and after working for 12 days they both left the work. Remaining work is done by B alone in 16 days. D first completed work ‘X’ and then completed work ‘Y’ in total 38 days.

It is given that efficiency of all, in completing work ‘X’ and work ‘Y’ is same.

Q6. A, B and C working together completed 1/3rd of work  ‘X’, and then A and C  are replaced by D. Now remaining of work ‘X’ is completed by B and D together. For how many days B worked?

A) 12 days

B) 10 days

C) 15 days

D) 4 days

E) None of these

Q7. A, C and D working simultaneously completed work ‘X’ in ‘n’ days and A, B, C and D working simultaneously, completed work ‘Y’  in ‘m’ days. Find the value of (m+n)

A) 15 days

B) 10 days

C) 12 days

D) 8 days

E) None of these

Q8. A person E starts the work ‘X’ and leave after 12 days, then B and C complete the remaining work in 8 days. What is the ratio of number of days taken by A and E together to complete the work ‘X’ to the number of days taken by D, B and C together to complete the both work ‘X’ and ‘Y’ .

A) 3 : 5

B) 5 : 3

C) 8 : 7

D) 1 : 2

E) None of these

Directions (9 to 10): Read the following and answer the questions that follow.

Two friends Shayam and Kailash own two versions of a car. Shayam owns the diesel version of the car, while Kailash owns the petrol version. Kailash’s car gives an average that is 20% higher than Shayam’s (in terms of litres per kilometer). It is known that petrol costs 60% of its price higher than diesel.

Q9. The ratio of the cost per kilometer of Kailash’s car to Shayam’s car is

A) 3 : 1

B) 1 : 3

C) 1.92 : 1

D) 2 : 1

E) Cannot be determined

Q10. If Shyam’s car gives an average of 20 km per litre and diesel cost Rs. 12.5 per litre, then the difference in the cost of travel per kilometer between the two cars is

A) Rs. 4.3

B) Rs. 3.5

C) Rs. 2.5

D) Rs. 3

E) Rs. 1.25

Solution

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