Basic Maths(Quantitative Aptitude ) Questions and answers for exam Preparation

Quantitative Aptitude

BASIC MATHS MCQs

Total Questions : 233 | Page 4 of 24 pages

Question 31. P,Q and R together earn Rs.1620 in 9 days. P and R can earn Rs.600 in 5 days. Q and R in 7 days can earn Rs.910. How much amount does R can earn per day?

Rs.40
Rs.70
Rs.90
Rs.100

Discuss Question

Answer: Option B. -> Rs.70
AMOUNT EARNED BY P,Q AND R IN 1 DAY = 1620/9 = 180 —(1)
AMOUNT EARNED BY P AND R IN 1 DAY = 600/5 = 120 —(2)
AMOUNT EARNED BY Q AND R IN 1 DAY = 910/7 = 130 —(3)
(2)+(3)-(1) => AMOUNT EARNED BY P , Q AND 2R IN 1 DAY
– AMOUNT EARNED BY P,Q AND R IN 1 DAY = 120+130-180 = 70
=>AMOUNT EARNED BY R IN 1 DAY = 70

Question 32. P can finish a work in 18 days. Q can finish the same work in 15 days. Q worked for 10 days and left the job. how many days does P alone need to finish the remaining work?

Discuss Question

Answer: Option B. -> 6
WORK DONE BY P IN 1 DAY = 1/18
WORK DONE BY Q IN 1 DAY = 1/15
WORK DONE BY Q IN 10 DAYS = 10/15 = 2/3
REMAINING WORK = 1 – 2/3 = 1/3
NUMBER OF DAYS IN WHICH P CAN FINISH THE REMAINING WORK = (1/3) / (1/18) = 6

Question 33. 8 men can dig a pit in 20 days. If a man works half as much again as a boy, then 4 men and 9 boys can dig a similar pit in:__________?

12 days
16 days
18 days
20 days

Discuss Question

Answer: Option B. -> 16 days
NO EXPLANATION IS AVAILABLE FOR THIS QUESTION!

Question 34. P can lay railway track between two stations in 16 days. Q can do the same job in 12 days. With the help of R, they completes the job in 4 days. How much days does it take for R alone to complete the work?

9(3/5) days
9(1/5) days
9(2/5) days
10 days

Discuss Question

Answer: Option A. -> 9(3/5) days
AMOUNT OF WORK P CAN DO IN 1 DAY = 1/16
AMOUNT OF WORK Q CAN DO IN 1 DAY = 1/12
AMOUNT OF WORK P, Q AND R CAN TOGETHER DO IN 1 DAY = 1/4
AMOUNT OF WORK R CAN DO IN 1 DAY = 1/4 – (1/16 + 1/12) = 3/16 – 1/12 = 5/48
=> HENCE R CAN DO THE JOB ON 48/5 DAYS = 9 (3/5) DAYS

Question 35. P and Q can complete a work in 20 days and 12 days respectively. P alone started the work and Q joined him after 4 days till the completion of the work. How long did the work last?

5 days
10 days
15 days
12 days

Discuss Question

Answer: Option B. -> 10 days
WORK DONE BY P IN 1 DAY = 1/20
WORK DONE BY Q IN 1 DAY = 1/12
WORK DONE BY P IN 4 DAYS = 4 × (1/20) = 1/5
REMAINING WORK = 1 – 1/5 = 4/5
WORK DONE BY P AND Q IN 1 DAY = 1/20 + 1/12 = 8/60 = 2/15
NUMBER OF DAYS P AND Q TAKE TO COMPLETE THE REMAINING WORK = (4/5) / (2/15) = 6
TOTAL DAYS = 4 + 6 = 10

Question 36. Wo pipes X and Y fill a tank in 15 hrs. and 20 hrs. respectively, while a third pipe ‘Z’ can empty the full tank in 25 hrs. All the three pipes are opened in the beginning. After 10 hrs. Z is closed. In how much time, will the tank be full ?

12 hrs
14 hrs
16 hrs
18 hrs

Discuss Question

Answer: Option A. -> 12 hrs
NO EXPLANATION IS AVAILABLE FOR THIS QUESTION!

Question 37. If daily wages of a man is double to that of a woman, how many men should work for 25 days to earn Rs.14400? Given that wages for 40 women for 30 days are Rs.21600.

Discuss Question

Answer: Option C. -> 16
NO EXPLANATION IS AVAILABLE FOR THIS QUESTION!

Question 38. Efficiency of Rashid and Danish are in the ratio 5:8. If Danish takes 51 days less than Rashid to complete the work, find the time taken by Rashid to complete the work.

85 days
126 days
118 days
136 days

Discuss Question

Answer: Option D. -> 136 days
TIME TAKEN IS INVERSELY PROPORTIONAL TO THEIR EFFICIENCY. SO, TIME TAKEN IS IN THE RATIO 8:5. TIME TAKEN BY RASHID TO FINISH THE WORK = 8X TIME TAKEN BY DANISH TO FINISH THE WORK = 5X 8X-5X=51 3X=51 X=17 8X=136

Question 39. If 12 men work 8 hours a day to complete a work in 10 days, how many men working 12 hours a day can complete the work in 5 days?

Discuss Question

Answer: Option A. -> 16
12 MEN WORK 8 HOURS FOR 10 DAYS X MEN WORK 12 HOURS FOR 5 DAYS X = (12*8*10)/(12*5) = 16 MEN

Question 40. Mansoor-Ul-Haque and Aaqib are working on a special assignment. Mansoor-Ul-Haque needs 6 hours to type 32 pages on a computer and Aaqib needs 5 hours to type 40 pages. If both of them work together on two different computers, how much time is needed to type an assignment of 110 pages?

7 hour 15 minutes
7 hour 30 minutes
8 hour 15 minutes
8 hour 30 minutes

Discuss Question

Answer: Option C. -> 8 hour 15 minutes
PAGES TYPED BY MANSOOR-UL-HAQUE IN 1 HOUR = 32/6 = 16/3
PAGES TYPED BY AAQIB IN 1 HOUR = 40/5 = 8
PAGES TYPED BY MANSOOR-UL-HAQUE AND AAQIB IN 1 HOUR = 16/3 + 8 = 40/3
TIME TAKEN TO TYPE 110 PAGES WHEN MANSOOR-UL-HAQUE AND AAQIB WORK TOGETHER = 110 × 3 /40 = 33/4
= 8 ¼ HOURS = 8 HOUR 15 MINUTES