Quantitative Aptitude Materials for SBI Clerk Mains
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Data Interpretation
Direction (1-5): Study the following information carefully and answer the questions given below.
The given line graph shows the speed in still water in five days.
The given table shows the time taken by downstream and the distance travelled in upstream in five different days.
1) If time taken by boat on day1 in upstream is 1.4 hours which is 12% more than the time taken by the same boat on day1 in downstream, then what is the distance travelled by boat on day1 in downstream?
A) 60 km
B) 70 km
C) 84 km
D) 56 km
E) None of these
2) If the speed of stream on day3 is 12 kmph and the ratio of the time taken by the boat in upstream to downstream is 10:7, then what is the difference between the distance travelled by boat in upstream and that of in downstream on day3?
A) 12 km
B) 16 km
C) 18 km
D) 20 km
E) None of these
3) The distance travelled by the boat in downstreamon day4 and day 2 is 50 km and 84 km respectively. If the time taken in upstream on day2 and day4 is same as the time taken in downstream on same days, then find the difference between distance travelled by boat in upstream on day2 and day4?
A) 30 km
B) 28 km
C) 24 km
D) 36 km
E) None of these
4) On day5, distance travelled by boat in downstream is 25% more than the distance travelled in upstream and the ratio of time taken by boat to cover the distance in upstream to downstream is 16:15. What is the speed of stream on day5?
A) 4 kmph
B) 5 kmph
C) 6 kmph
D) 8 kmph
E) 3 kmph
Caselet
Direction (5-9): Study the following information carefully and answer the questions given below.
Arul invests Rs.9000 and the ratio of the investment of Arul to Bala is 5:3. The investment of Bala is 75% of the investment of Banu and the investment of Sharu is Rs.900 less than the investment of Esai. Divya’s investment is 70% of the investment of Esai. Total investment of all of them is Rs.45000.
5) Arul and Sharu started the business. After 5 months Hari joined with the investment of Ra.1500 more than Sharu and Arul invests Rs.1200 for his initial investment. If the total profit at the end of the business is Rs.40716, then find the profit of Hari?
A) Rs. 9744
B) Rs. 8948
C) Rs. 9064
D) Rs. 9264
E) None of these
6) Bala and Divya started the business. After 6 months Esai joined with them and Bala left the business. After 2 more months Divya left the business. If Esai invests his capital in x months and the total profit of the business is Rs.10800 and the Divya’s profit share is Rs.3150, then find the value of x?
A) 11
B) 10
C) 12
D) 8
E) 9
7) Bala, Banu and Nirmal started the business with the investment in the ratio of 3:4:6. After 7 months Nirmal left the business and Divya joined. After 2 more months Bala added Rs.1800 for his investment. At the end of year the profit of Bala and Divya is Rs.11300, then find the total profit of the business?
A) Rs.45200
B) Rs.22600
C) Rs.58600
D) Rs.29300
E) None of these
8) Bala, Esai and Banu started a business. Bala is a working partner but Esai and Banu are sleeping partner in the business. For managing the business, Bala received 10% of the total profit. If at the end of year the total profit of the business is Rs.23400, then find the difference between the share of Bala and Banu?
A) Rs.235
B) Rs.450
C) Rs.550
D) Rs.300
E) None of these
9) Sharu, Divya and Esai together started a business. After 4 months Sharu withdraw one-third of the initial investment and after another 2 months Esai withdraw one-sixth of the initial investment. If at the end of year the total profit is Rs.13900, then find the profit share of Esai?
A) Rs.4800
B) Rs.3600
C) Rs.6500
D) Rs.4200
E) 5500
Application Sums
10) Box A contains the number of apple, banana and orange in the ratio of 2:3:4 and the box B contain three fruits apple, banana and orange. If both boxes are mixed, then the ratio of the apple, banana and orange becomes 13:17:12, then find the ratio of the number of apple, banana and orange in box B?
A) 1:2:3
B) 5:7:8
C) 4:5:6
D) 6:7:8
E) Cannot be determined
Answers:
1) Answer: B
Time taken in upstream = 56/(48 – x) = 1.4
(48 – x) * 1.4 = 56
x = 8
Time taken in downstream = 1.4 * 100/112 = 1.25
D/(48 + 8) = 1.25
D = 70 km
2) Answer: B
Time taken in upstream on day3 = 40/(36 – 12) * 60 = 100 minutes
Time taken in downstream on day3 = 7/10 * 100 = 70 minutes
Distance travelled by boat on day3 in downstream = (36 + 12) * 70/60
= 56 km
Required difference = 56 – 40 = 16 km
3) Answer: E
Speed of stream on day2 = x kmph
Speed of stream on day4 = y kmph
84/(52 + x) = 1.5
x = 4 kmph
50/(36 + y) = 1.25
y = 4 kmph
Distance travelled in upstream on day2 = (52 – 4) * 1.5 = 72 km
Distance travelled in upstream on day4 = (36 – 4) * 1.25 = 40 km
Required distance = 72 – 40 = 32 km
4) Answer: C
Speed of stream = x kmph
Distance travelled by boat in downstream on day5 = 125/100 * 48 = 60 km
960/(42 + x) = 720/(42 – x)
30240 + 720x = 40320 – 960x
x = 6 kmph
Direction (5-9):
Arul’s investment = Rs.9000
Bala = 3/5 * 9000 = Rs.5400
Banu = 100/75 * 5400 = Rs.7200
Esai = x
Sharu = x – 900
Divya = x * 70/100 = 7x/10
x + x – 900 + 7x/10 = 45000 – (9000 + 5400 + 7200)
2.7x = 24300
x = 9000
Esai = Rs.9000
Sharu = Rs.8100
Divya = 7/10 * 9000 = Rs.6300
5) Answer: A
The investment of Hari = 8100 + 1500 = Rs. 9600
Profit ratio of Arul, Sharu and Hari = (9000*5 + 10200*7): (8100*12): (9600*7)
= 116400: 97200: 67200
= 97: 81: 56
Profit Share of Hari = 56/234 * 40716 = Rs.9744
6) Answer: B
Profit share of Bala, Divya and Esai = 5400 * 6:6300 * 8:9000 * x
= 18:28:5x
28/(46 + 5x) = 3150/10800
28/(46 + 5x) = 7/24
96 = 46 + 5x
x = 10
7) Answer: D
Nirmal investment = 6/3 * 5400 = 10800
Profit ratio of Bala, Banu, Nirmal and Divya = (5400 * 9 + 7200 * 3):(7200 *12):(10800 * 7):(6300 * 5)
= 70200:86400:75600:31500
= 78:96:84:35
Total profit of the business = 293/113 * 11300 = Rs.29300
8) Answer: E
Profit share of Bala, Esai and Banu = 5400 * 12:9000 * 12:7200 * 12
= 3: 5: 4
For managing the business, Bala received = 23400 * (10/100) = Rs.2340
Remaining amount = 23400 – 2340 = 21060
Profit share of Bala = 2340 + (21060 * 3/12)
= Rs.7605
Profit share of Banu = 21060 * 4/12 = Rs.7020
Required difference = 7605 – 7020 = Rs.585
9) Answer: E
Profit ratio of Sharu, Divya and Esai = (8100 * 4 + 5400 * 8): 6300 * 12: (9000 *6 + 7500 * 6)
= 75600:75600:99000
= 42:42:55
Profit Share of Esai = 55/139 * 13900 = Rs.5500
10) Answer: E
Box A = 2: 3: 4
Box B = x: y: z
Mixed ratio = 13: 17: 12
We can’t find the ratio of Box B
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