# Data Interpretation Practice Questions – Set 96

Data Interpretation Practice Questions – Set 96
Directions (1 – 5): Study the following graph and table carefully and answer the questions given below.
Time taken to travel (in hours) by six vehicles on two different days

1. Which of the following vehicles travelled at the same speed on both the days?
(a) Vehicle A
(b) Vehicle C
(c) Vehicle F
(d) Vehicle B
(e) None of these
2. What was the difference between in speed of vehicle A on day 1 and the speed of vehicle C on the same day?
(a) 7 km/h
(b) 12 km/h
(c) 11 km/h
(d) 8 km/h
(e) None of these
3. What was the speed of vehicle C on day 2 in terms of metres per second?
(a) 15.3
(b) 12.8
(c) 11.5
(d) 13.8
(e) 12.5
4. The distance travelled by vehicle F on day 2 was approximately what per cent of the distance travelled by it on Day 1?
(a) 80
(b) 65
(c) 85
(d) 95
(e) 90
5. What is the ratio of the speeds of vehicle D and vehicle E on day 2?
(a) 15 : 13
(b) 17 : 13
(c) 13 : 11
(d) 17 : 14
(e) None of these
Directions (6 – 10): Study the following graphs carefully to answer the given questions.
6. Scheme of M offers simple interest at a certain rate of interest (p.c.p.a). If the difference between the interest earned by Gautam and Rudra from scheme M after 4 yr is Rs.  4436.520, what is the rate of interest (p.c.p.a)?
(a) 17.8
(b) 18
(c) 16.5
(d) 20
(e) 15
7. What is the ratio of the total amount invested by Gautam in schemes O and Q together to the total amount invested by Rudra in the same schemes together?
(a) 31 : 44
(b) 31 : 42
(c) 27 : 44
(d) 35 : 48
(e) 29 : 38
8. If scheme P offers compound interest (compounded half-yearly) @ 16 p.c.p.a. What would be sum of interest earned by Gautam and Rudra from scheme P after 1 yr?
(a) Rs. 10244
(b) Rs. 10464
(c) Rs. 9872
(d) Rs. 9984
(e) Rs. 9442
9. The scheme O offers compound interest (compounded annually) @ 12 p.c.p.a. What is the difference between the interests earned by Gautam and Rudra from scheme O after 2 yr?
(a) Rs. 1628.16
(b) Rs. 1584.38
(c) Rs. 1672.74
(d) Rs. 1536.58
(e) Rs. 1722.96
10. What is the average amount invested by Gautam in schemes M, N, O, P and Q together?
(a) Rs. 29248
(b) Rs. 30562
(c) Rs. 31126
(d) Rs. 29688
(e) Rs. 28848

Solutions:
(1 – 5): Explanation:
Speed of vehicle A on 1st day = 832/16 = 52kmph
Speed of vehicle A on 2nd day = 864/16 = 54kmph
Speed of vehicle B on 1st day = 516/12 = 43kmph
Speed of vehicle B on 2nd day = 774/18 = 43kmph
Speed of vehicle C on 1st day = 693/11 = 63kmph
Speed of vehicle C on 2nd day = 810/18 = 45kmph
Speed of vehicle D on 1st day = 552/15 = 46kmph
Speed of vehicle D on 2nd day = 765/15 = 51kmph
Speed of vehicle E on 1st day = 935/17 = 55kmph
Speed of vehicle E on 2nd day = 546/14 = 39kmph
Speed of vehicle F on 1st day = 703/19 = 37kmph
Speed of vehicle F on 2nd day = 636/12 = 53kmph
1. D) The speed of vehicle B on both the days = 43 km/h

2. C) Required speed of A on 1st day = 52 km/h
Speed of C on 1st day = 63 km/h
Difference = 63 - 52 = 11 km/h

3. E) Speed of vehicle C on 2nd day = 45 km/h
=45×5/18 = 12.5 m/s

4. E) Required percentage =636/703×100 = 90.46 ≈ 90%

5. B) Required Ratio = Speed of vehicle D on 2nd Day/Speed of vehicle E on 2nd Day
= 51/39 = 17/13 or 17 : 13

6. C) Difference between percentage amounts of Gautam and Rudra = (54 – 46) = 8%
Rate = (4436.52 × 100)/(4 × 8 × 840) = (4436.520 × 100)/(4 × 6720) = 443652/26880 ≈ 16.5%

7. A) Required Ratio = [(22000 × 40/100) + (42 × 64000/100)]/[(22000 × 60/100) + (58 × 64000/100)] = (320 × 40 + 42 × 640)/(320 × 60 + 58 × 640) = (12800 + 26800)/(19200 + 37120) = 39680/56320 = 3968/5632 = 31/44 or 31 : 44

8. D) If compared half-yearly, then R = R/2% and Time T = 2T
Here, R = 16/2 = 8% and Time = 2year
Again, applying rule (x + y + xy)/100
R = 8 + 8 + (8 × 8)/100 = 16.64%
Sum of Interest = [(600 × 30 × 16.64)/100 + (600 × 70 × 16.64)/100]
= 2995.2 + 6988.8 = Rs.9984

9. A) Amount invested by Gautam = (32000 × 40)/100 = Rs.12800
Amount invested by Rudra = 32000 × 60/100 = Rs.19200
Now applying rule (x × y + xy/100)
Rate of interest = 12 + 12 + (12 × 12)/100 = 25.44%
Therefore required diffenence in interest earned by Rudra and Gautam
= (19200 × 25.44/100) – (12800 × 25.44/100) = 4884.48 – 3256.32 = Rs.1628.16

10. A) Average = (840 × 54 + 720 × 60 + 320 × 40 + 600 × 30 + 640 × 42)/5
= (45360 + 43200 + 12800 + 18000 + 26800)/5 = 146240/5 = Rs.29248