 # Quantitative Aptitude Questions 13th January 2019

January 13, 2019

### Quantitative Aptitude Questions 13th January 2019

Mathematics is one of the important sections of various Government exams, check out Daily Quant and data interpretation questions for preparation of various exams.

Q:A>Directions (Q. 1-5):Refer to the table and answer the given questions.

NA refers the data which is not needed for a particular question. The number of working days of A, B, C, D is given below and some of them are missing. Take the data of the first row for the first question and the second row for the second question and so on.

A B C D Ratio Total Number of Working Days
_ 25 NA NA Efficiency (A : B) = 5 : 4 NA
_ _ _ NA NA _
16 64/5 32 NA NA NA
NA NA 50 _ _ _
NA 9 8 3 NA _

1. A started a work alone and then B joined her 5 days before actual completion of the work. For how many days A worked alone?
A. 9
B. 11
C. 10
D. 25
E. 12

2. Working together B and C take 50% more number of days than A, B and C together take and A and B working together, take 8/3 more number of days than A, B and C take together. If A, B and C all have worked together till the completion of the work and B has received Rs.120 out of total earnings of Rs. 480 then in how many days did A, B and C together complete the whole work?
A. 2 days
B. 4 days
C. 6 days
D. 8 days
E. 5 days

3. All of them started to work together but A leaves after 4 days. B leaves the job 3 days before the completion of the work. How long would the work last?
A. 6 days
B. 9 days
C. 18 days
D. 5 days
E. None of these

4. C started the work and left after some days, when 25% work was done. After it D joined and completed it working for 25 days. In how many days C and D can do the complete work, working together?
A. 6
B. 8
C. 10
D. 12
E. 20

5. B and C started the work. After 3 days D joined them. What is the total number of days in which they had completed the work?
A. 12
B. 8
C. 4
D. 6
E. None of these

Q:B>Directions: ( 6 – 10):Study the following Tables carefully and answer the questions given below.

 Mumbai Type Colour Black Red Blue White Silver A 40 25 55 75 15 B 20 35 60 80 20 C 35 30 50 90 35 D 45 40 45 85 40 E 50 35 35 60 30 F 55 42 40 65 52
 Delhi Type Colour Black Red Blue White Silver A 45 32 40 60 20 B 30 37 39 81 35 C 40 42 41 6 37 D 35 39 37 90 42 E 50 44 43 77 22 F 47 34 45 87 17

Q6. The difference between the white-coloured cars sold in the two metros of which of the following models is the minimum?

(a) A

(b) C

(c) D

(d) F

(e) None of these

Q7. The total number of blue-coloured cars of Model E and D sold in Delhi is exactly equal to the number of white-coloured cars of which model in Mumbai?

(a) B

(b) F

(c) C

(d) A

(e) None of these

Q8. What is the difference between the number of blue-colour cars of model ‘C’ sold in Mumbai and number of red colour cars of model ‘F’ sold in Delhi?

(a) 1600

(b) 10000

(c) 12000

(d) 15000

(e) None of these

Q9. The total number of silver-coloured cars sold in Delhi is approximately what percentage of that in Mumbai?

(a) 130

(b) 140

(c) 90

(d) 100

(e) 110

Q10. In Mumbai the number of cars sold was maximum for which of the colour-model combinations?

(a) White-C

(b) Blue-B

(c) Silver-B

(d) White-D

(e) None of these

Q.A:

1. B. 11
Efficiency (A : B) = 5 : 4
Number of days(A : B) = 4x : 5x = 4x : 25
∴ Number of days required by A to finish the work alone = 4x
= 4 x 5 = 20.
A and B work together for last 5 days = 5 x 9 = 45%
Efficiency of A = 5% and B’s efficiency = 4%
∴ No. of days taken by A to complete 55% work = 55/5 = 11days
2. E. 5 days
The days ratio of (A + B + C) : (B + C) = X:3X/2 = 2X:3x;
Efficiency ratio = 3X:2X
Efficiency of A = x.
(480/3X) = Rs.160
Amount received by B = Rs.120 & C = 200
160:120:200 =4:3:5
1/4:1/3:1/5= 15:20:12;
(1/15+1/12+1/20)*Y = 1
Y = 5 days
3. B. 9 days
Let the work lasted for x days,
A’s 4 day’s work + B (x – 3) day’s work + C’s x day’s work = 1
⇒ (4/16) + (x – 3) / (64/5) + x/32 = 1
⇒ 5(x – 3)/64 + x/32 = 1 – 1/4
⇒ [5(x – 3) + 2x] / 64 = 3/4
⇒ 7x – 15 = 48
∴ x = (48 + 15)/7 = 63/7 = 9 days
4. E. 20
Efficiency of C = (100/50) = 2%
Rest work = 75%
∴ Efficiency of D = 75/25 = 3%
∴ Combined efficiency of C and D = 5%
∴ Number of days required by C and D to work together = 100/5 = 20 days.
5. C.4 days
Efficiency of B and C = 11.11 + 5.55 = 16.66%
Work done in 3 days = 3 x 16.66 = 50%
Rest work done by B, C and D = 50/50 = 1 day
Work can be completed in 4 days.

Q.B)

1. E
The difference between the white-coloured cars sold is the minimum in B type model.
2. A
Blue (E + D) = 37 + 43 = 80 = White (B)
3. E
Required difference = (50 – 34) × 1000 = 16000.
4. C.
5. A
While-C Colour-model combination of car in Mumbai