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Quantitative Aptitude

BASIC MATHS MCQs

Total Questions : 233 | Page 2 of 24 pages
Question 11. Today is khadija’s birthday. After one year, she will become two times as she was ten years ago. current age of Khadija?
  1.    19
  2.    20
  3.    21
  4.    22
 Discuss Question
Answer: Option C. -> 21
LET HER AGE BE X
AFTER 1 YEAR HER AGE WILL BE X+1=2(X-10)
X+1=2X-20
1+20=2X-X
X=21 YEARS
Question 12. A is thrice as good as B in work. A is able to finish a job in 60 days less than B. They can finish the work in___________days if they work together.
  1.    18 days
  2.    22 ½ days
  3.    24 days
  4.    26 days
 Discuss Question
Answer: Option B. -> 22 ½ days
IF A COMPLETES A WORK IN 1 DAY, B COMPLETES THE SAME WORK IN 3 DAYS
HENCE, IF THE DIFFERENCE IS 2 DAYS, B CAN COMPLETE THE WORK IN 3 DAYS
=> IF THE DIFFERENCE IS 60 DAYS, B CAN COMPLETE THE WORK IN 90 DAYS
=> AMOUNT OF WORK B CAN DO IN 1 DAY= 1/90
AMOUNT OF WORK A CAN DO IN 1 DAY = 3 × (1/90) = 1/30
AMOUNT OF WORK A AND B CAN TOGETHER DO IN 1 DAY = 1/90 + 1/30 = 4/90 = 2/45
=> A AND B TOGETHER CAN DO THE WORK IN 45/2 DAYS = 22 ½ DAYS
Question 13. P and Q can complete a work in 15 days and 10 days respectively. They started the work together and then Q left after 2 days. P alone completed the remaining work. The work was finished in__________days.
  1.    12
  2.    15
  3.    22
  4.    20
 Discuss Question
Answer: Option A. -> 12
WORK DONE BY P IN 1 DAY = 1/15
WORK DONE BY Q IN 1 DAY = 1/10
WORK DONE BY P AND Q IN 1 DAY = 1/15 + 1/10 = 1/6
WORK DONE BY P AND Q IN 2 DAYS = 2 × (1/6) = 1/3
REMAINING WORK = 1 – 1/3 = 2/3
TIME TAKEN BY P TO COMPLETE THE REMAINING WORK 2/3 = (2/3) / (1/15) = 10 DAYS
TOTAL TIME TAKEN = 2 + 10 = 12 DAYS
Question 14. Two taps X and Y can fill a tank in 10 hrs. and 15 hrs.respectively. If the both taps are opened together, the tank will be full in_________?
  1.    3 hrs.
  2.    4 hrs,
  3.    5 hrs.
  4.    6 hrs.
 Discuss Question
Answer: Option D. -> 6 hrs.
X’S 1 HOUR WORK = 1/10
Y’S 1 HOUR WORK = 1/15
(X+Y)’S 1 HOUR WORK = 1/10+1/15=5/30=1/6
BOTH THE TAPS CAN FILL THE TANK IN 6 HRS.
Question 15. A and B can finish a work 30 days if they work together. They worked together for 20 days and then B left. A finished the remaining work in another 20 days. In how many days A alone can finish the work?
  1.    70
  2.    50
  3.    40
  4.    60
 Discuss Question
Answer: Option D. -> 60
AMOUNT OF WORK DONE BY A AND B IN 1 DAY = 1/30
AMOUNT OF WORK DONE BY A AND B IN 20 DAYS = 20 × (1/30) = 20/30 = 2/3
REMAINING WORK – 1 – 2/3 = 1/3
A COMPLETES 1/3 WORK IN 20 DAYS
AMOUNT OF WORK A CAN DO IN 1 DAY = (1/3)/20 = 1/60
=> A CAN COMPLETE THE WORK IN 60 DAYS
Question 16. If 6 men can make 10 sofas in 2 days, then 8 men can make 8 sofas in__________?
  1.    1.8 days
  2.    1.5 days
  3.    1.2 days
  4.    1 day
 Discuss Question
Answer: Option C. -> 1.2 days
TIME IS
DIRECTLY PROPORTIONAL TO NUMBER OF SOFAS
INVERSELY PROPORTIONAL TO NUMBER OF PEOPLE NO. OF DAYS
= (6/8)*(8/10)*2
= 1.2 DAYS
Question 17. If 10 workers can make 10 tables in 10 days, then how many days would it take for 5 workers to make 5 tables?
  1.    1
  2.    5
  3.    10
  4.    25
 Discuss Question
Answer: Option C. -> 10
10 WORKERS MAKE 10 TABLES IN 10 DAYS. 1 WORKER MAKES 1 TABLE IN 10 DAYS. SIMILARLY, 5 WORKERS CAN MAKE 5 TABLES IN 10 DAYS.
Question 18. A, B and C together earn Rs.150 per day while A and C together earn Rs.94 and B and C together earn Rs.76. The daily earning of C is:__________?
  1.    10 Rs,
  2.    15 Rs,
  3.    20 Rs.
  4.    25 Rs.
 Discuss Question
Answer: Option C. -> 20 Rs.
B’S DAILY EARNING = RS.(150-94)= RS.56
A’S DAILY EARNING = RS.(150-76)= RS.74
C’S DAILY EARNING = RS.[(150-(56+74)]=RS.20
Question 19. If 6 men take 9 days to complete a work, how many men can complete the work in 3 days?
  1.    2 men
  2.    12 men
  3.    9 men
  4.    18 men
 Discuss Question
Answer: Option D. -> 18 men
FOR THE WORK TO BE COMPLETED IN 9 DAYS,
6 MEN ARE REQUIRED. TIME AND MEN ARE INVERSELY PROPORTIONAL. FOR THE WORK TO BE COMPLETED IN 3 DAYS,
6*9/3 = 18 MEN ARE REQUIRED
Question 20. If 3 men or 4 women can construct a wall in 43 days, then the number of days that 7 men and 5 women take to construct it is :
  1.    12 days
  2.    14 days
  3.    16 days
  4.    18 days
 Discuss Question
Answer: Option C. -> 16 days
NO EXPLANATION IS AVAILABLE FOR THIS QUESTION!

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