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Quant practice set 7 for SBI PO PRELIM



SBI Clerk and SBI PO Prelims exam are going to be held in the upcoming months. We have already provided you with the PDFs of many topics of Quantitative Aptitude like Simplification/Approximation, Number Series,datainterpretation.important Arithmetic questions to prepare for SBI Clerk and PO Pre exam. Practicing these questions will help you to know about the level of the questions. To increase your speed and accuracy, enhance your calculations.

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START TEST


1.Study the following pie-chart and table carefully and answer the questions that follow:
Some values are missing. Answer the questions on the basis of given table and
information in question. Speed of stream is same for both upstream and downstream distance on respective days


1) Time taken to cover the upstream distance on Friday is same as time 
taken to cover the downstream distance on Thursday. Total speed of still water on Thursday and Friday is 10 km/hr. Find the ratio of speed of still water on Thursday and Friday.
A) 6 : 13
B) 4 : 11
C) 7 : 13
D) 4 : 15
E) 7 : 12

2.On Monday, the boat takes a total of 4 hrs 30 minutes to cover both upstream and downstream distance. Ratio of speed of boat in still water in going upstream to downstream is 4 : 5. Find the speed of boat in still water while going downstream.
A) 13 km/hr
B) 15 km/hr
C) 9 km/hr
D) 10 km/hr
E) 12 km/hr

3.On Tuesday, Ratio of speed of boat in still water in going upstreamto downstream is 3 : 8. Also difference in speed of boat in still water ingoing upstream and downstream is 5 km/hr. If the total time taken byboat to cover upstream and downstream distance is 14 hours on Tuesday,find the speed of stream.
A) 2 km/hr
B) 1 km/hr
C) 3 km/hr
D) 2.5 km/hr
E) 1.5 km/hr

4.On Wednesday, Ratio of speed of boat in still water in going upstream to downstream is 4 : 5. The difference between time to cover upstream distance and downstream distance is 5 hours, find the total time taken to cover upstream distance and downstream distance.
A) 5 hours
B) 4 hours
C) 7 hours
D) 8 hours
E) 6 hours

5.Time taken to cover the upstream distance on Thursday is 12 hours more time taken to cover the downstream distance on Friday. Total speed of still water on Thursday and Friday is 11 km/hr. Find the ratio of speed of still water on Thursday and Friday.
A) 6 : 7
B) 4 : 5
C) 7 : 9
D) 5 : 6
E) 7 : 8

6.Rajesh walks at a speed of 8 km/hr and he runs speed of 10 km/hr. How much time will he require cover a distance of 45 km, if he covers the first 20 k of his journey walking and the rest of his journey running?
1)4 hours 5 minutes
2)5 hours
3) None of these
4)6 hours 10 minutes
5)3 hours

7.Raju spent 32150 on buying a scooter and 12250 buying a watch and he was now left with 20% of what he had initially. What was the initial amount?
1)55500
2)70150
3)52150
4) None of these
5)62250

8.A started a business with 20000. After 2 months his  friend  B Joins him with 30000. Again, another friend C joined both after some time with 40000. If at the end of the year, C gets 5000 as his share out of the total profit of 20000, how many months after B joined the business did join?
A.5 months
B.4 1/2 Months
C.3 1/2 months
D.6 months
E.none of these

9.In how many different ways can the letters of the word CONCEPT be arranged?

1)3520 2)11025 3)3025 4)2520 5)4520

10.What is the profit earned by selling an article for Rs. 900?
Statement I: 25% of profit would have been earned if it had been sold for
Rs. 750.
Statement II: Selling price is 300% of the profit earned.
A) If the data in statement I alone is sufficient to answer the question.
B) If the data in statement II alone is sufficient to answer the question.
C) If the data either in statement I alone or statement II alone are sufficient to
answer the question.
D) If the data given in both I and II together are not sufficient to answer the
question.
E) If the data in both the statements I and II together are necessary to answer
the question.

SOLUTIONS

1.View Answer
Option C
Solution:
Distances upstream:
Monday = 18/100 * 150 = 27 km, Tuesday = 12/100 * 150 = 18 km.
Wednesday = 39 km, Thursday = 45 km, Friday = 21 km
Similarly Distances downstream:
Monday = 27 km, Tuesday = 45 km. Wednesday = 18 km, Thursday = 36 km,
Friday = 54 km
Let speed of still water upstream on Friday = x, then downstream on Thursday
= (10-x)
Now
21/(x-3) = 36/[(10-x)+2.5)]
Solve, x = 6.5
So required ratio is 3.5 : 6.5 = 7 : 13

2.View Answer
Option B
Solution:
speeds – 4x and 5x
So on Monday
27/(4x-3) + 27/(5x+3) = 9/2
Solve, x = 3
So downstream speed = 5x = 15 km/hr

3.View Answer
Option B
Solution:
8x and 3x, Also 8x – 3x = 5
So x = 1, speeds are 8 and 3 km/hr
So for Tuesday
18/(3-b) + 45/(8+b) = 14
Solve, b = 1 km/hr


4.View Answer
Option D
Solution:
On Wednesday
39/(4x-2) – 18/(5x+2) = 10
Solve
Solve, x = 2 km/hr
So required distance :
39/(8-2) + 18/(10+2) = 8 hours

5.View Answer
Option D
Solution:
Let speed of still water upstream on Thursday = x, then downstream on Friday
= (11-x)
Now
45/(x-2.5) – 54/[(11-x)+3)] = 12
15/(x-2.5) – 18/(14-x) = 4
The time is integral value, so by putting values higher than 2.5, x can be found
x = 5
So required ratio is 5 : 6

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10.View Answer
 Option C
Explanation:
From I : Find CP using SP and Profit %. Get profit
From II : Given SP =300/100 * profit => 900=300/100* profit =>Profit = Rs
300