Quantitative Aptitude
BASIC MATHS MCQs
Total Questions : 233
| Page 7 of 24 pages
Answer: Option B. -> 9.6
PART OF WORK COMPLETED BY A AND B IN 4 DAYS
= 4*((1/16) + (1/12))
= 7/12 C CAN COMPLETE 5/12TH OF THE WORK IN 4 DAYS C CAN COMPLETE THE WHOLE JOB IN
4÷(5/12) = 9.6 DAYS
PART OF WORK COMPLETED BY A AND B IN 4 DAYS
= 4*((1/16) + (1/12))
= 7/12 C CAN COMPLETE 5/12TH OF THE WORK IN 4 DAYS C CAN COMPLETE THE WHOLE JOB IN
4÷(5/12) = 9.6 DAYS
Answer: Option C. -> 4:3
PART OF WORK COMPLETED BY A MAN IN A DAY = 1/(12*20)
= 1/240 PART OF WORK COMPLETED BY A WOMAN IN A DAY = 1/(20*16) = 1/320 RATIO OF THEIR CAPACITIES
= (1/240):(1/320) = 320:240 = 4:3
PART OF WORK COMPLETED BY A MAN IN A DAY = 1/(12*20)
= 1/240 PART OF WORK COMPLETED BY A WOMAN IN A DAY = 1/(20*16) = 1/320 RATIO OF THEIR CAPACITIES
= (1/240):(1/320) = 320:240 = 4:3
Answer: Option A. -> 13
A COMPLETES 2*(1/8) = 1/4TH OF THE WORK 2/3RD OF THE REMAINING WORK
= (3/4) * (2/3) = 1/2 B COMPLETES 1/2 OF THE WORK IN
(1/2)÷(1/14) = 7 DAYS C COMPLETES 1/4TH OF THE WORK IN
(1/4)÷(1/16) = 4 DAYS THEY TAKE 13 DAYS TO COMPLETE THE WORK
A COMPLETES 2*(1/8) = 1/4TH OF THE WORK 2/3RD OF THE REMAINING WORK
= (3/4) * (2/3) = 1/2 B COMPLETES 1/2 OF THE WORK IN
(1/2)÷(1/14) = 7 DAYS C COMPLETES 1/4TH OF THE WORK IN
(1/4)÷(1/16) = 4 DAYS THEY TAKE 13 DAYS TO COMPLETE THE WORK
Answer: Option A. -> 2
M1*D1*W2 = M2*D2*W1
10*3*10*32 = 30*D*8*20
D = 2 DAYS
M1*D1*W2 = M2*D2*W1
10*3*10*32 = 30*D*8*20
D = 2 DAYS
Answer: Option C. -> 4 min
LET Q BE CLOSED AFTER X MIN. THEN PART FILLED BY (P+Q) IN X MIN + PART FILLED BY P IN ( 9 – X )MIN
X(1/12+1/16)+(9−X)1/12=1
LET Q BE CLOSED AFTER X MIN. THEN PART FILLED BY (P+Q) IN X MIN + PART FILLED BY P IN ( 9 – X )MIN
X(1/12+1/16)+(9−X)1/12=1
Answer: Option C. -> 7
PART OF WORK COMPLETED BY A IN A DAY = 1/21 PART OF WORK COMPLETED BY B IN A DAY = 1/24 PART OF WORK COMPLETED BY THEM TOGETHER IN A DAY = (1/21)+(1/24)
= 5/56 PART OF WORK COMPLETED BY B IN 9 DAYS
= 9/24 = 3/8 IF A LEFT AFTER X DAYS,
(5X/56)+(3/8) = 1
X = 7
PART OF WORK COMPLETED BY A IN A DAY = 1/21 PART OF WORK COMPLETED BY B IN A DAY = 1/24 PART OF WORK COMPLETED BY THEM TOGETHER IN A DAY = (1/21)+(1/24)
= 5/56 PART OF WORK COMPLETED BY B IN 9 DAYS
= 9/24 = 3/8 IF A LEFT AFTER X DAYS,
(5X/56)+(3/8) = 1
X = 7
Answer: Option B. -> 3 3⁄7
WORK DONE BY P IN 1 DAY = 1/24
WORK DONE BY Q IN 1 DAY = 1/6
WORK DONE BY R IN 1 DAY = 1/12
WORK DONE BY P,Q AND R IN 1 DAY = 1/24 + 1/6 + 1/12 = 7/24
=> WORKING TOGETHER, THEY WILL COMPLETE THE WORK IN 24/7 DAYS = 3 3⁄7 DAYS
WORK DONE BY P IN 1 DAY = 1/24
WORK DONE BY Q IN 1 DAY = 1/6
WORK DONE BY R IN 1 DAY = 1/12
WORK DONE BY P,Q AND R IN 1 DAY = 1/24 + 1/6 + 1/12 = 7/24
=> WORKING TOGETHER, THEY WILL COMPLETE THE WORK IN 24/7 DAYS = 3 3⁄7 DAYS
Answer: Option B. -> 120/7 days
NO EXPLANATION IS AVAILABLE FOR THIS QUESTION!
NO EXPLANATION IS AVAILABLE FOR THIS QUESTION!
Answer: Option B. -> 4:3
WORK DONE BY 20 WOMEN IN 1 DAY = 1/16
WORK DONE BY 1 WOMAN IN 1 DAY = 1/(16×20)
WORK DONE BY 16 MEN IN 1 DAY = 1/15
WORK DONE BY 1 MAN IN 1 DAY = 1/(15×16)
RATIO OF THE CAPACITY OF A MAN AND WOMAN =1/(15×16) : 1/(16×20) = 1/15 : 1/20
= 1/3 :1/4 = 4:3
WORK DONE BY 20 WOMEN IN 1 DAY = 1/16
WORK DONE BY 1 WOMAN IN 1 DAY = 1/(16×20)
WORK DONE BY 16 MEN IN 1 DAY = 1/15
WORK DONE BY 1 MAN IN 1 DAY = 1/(15×16)
RATIO OF THE CAPACITY OF A MAN AND WOMAN =1/(15×16) : 1/(16×20) = 1/15 : 1/20
= 1/3 :1/4 = 4:3
Answer: Option B. -> 15/2 days
RATIO OF TIME, TAKEN BY A AND B = 160 : 100 = 8 : 5
IF A TAKES 8 DAYS, B TAKES 5 DAYS.
IF A TAKES 12 DAYS, B TAKES = [5/8×12]=15/2 DAYS
RATIO OF TIME, TAKEN BY A AND B = 160 : 100 = 8 : 5
IF A TAKES 8 DAYS, B TAKES 5 DAYS.
IF A TAKES 12 DAYS, B TAKES = [5/8×12]=15/2 DAYS
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