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March 23, 2017

Data Interpretation Practice Test with Shortcut Solutions for SBI PO 2017

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Hello everyone, I am Aparna. Today I am sharing some useful practice questions on Data Interpretation and permutations & combinations for upcoming SBI PO 2017 Online Exam.  Solutions are given at the end, but I request you to solve these questions on your own and check with the given answers only after completing all 15 questions. Happy Reading :)

Directions (1-5) : Refer to the diagram below and answer the questions that follow. 

To percentage break-up of the total income of 5 sales man
  1.  If the total income of O is Rs. 6000 and of N is Rs. 7000, find the difference in their salaries ?
    1. Rs. 1500
    2. Rs. 1750
    3. Rs. 2000
    4. Rs. 2250
    5. None of these
  2. If the total income of P is Rs. 8000, find the interest he earns from his savings ?
    1. Rs. 1500
    2. Rs. 1000
    3. Rs. 3000
    4. Rs. 2000
    5. None of these
  3. If the incentives of N amounts to Rs. 2000, find his monthly salary ?
    1. Rs. 8000
    2. Rs. 4000
    3. Rs. 6000
    4. Rs. 2000
    5. None of these
  4. If the incentives of M are Rs. 3000, his salary is __________ of his total income. 
    1. 1/4
    2. 1/2
    3. 2/3
    4. 3/4
    5. None of these
  5. Which of the following is true ?
      • I. The salary of M is more than that of P.
      • II. The salary of N is equal to his incentives. 
      • III. The salary of M is equal to interest earned by N from his savings. 
    1. Only I
    2. Only II
    3. Only III
    4. II and III
    5. None of these
Directions (Q. No. 6-10) : These questions are based on the tables given below :

The following table gives the percentage change in the sales of mobile phones, over that in the previous year, for five companies. 


Year
2002
2003
2004
2005
2006
Company
Tokia
10%
20%
-15%
25%
8%
Zamsung
15%
25%
-30%
8%
20%
Notorola
10%
-10%
15%
20%
15%
Mericson
-10%
20%
10%
15%
-10%
Rower
20%
15%
10%
-20%
30%


Note : Here "-" Indicates decrease

The following table gives the total sales of the given companies in the year 2001 (number of pieces in million)

Year
Tokia
Zamsung
Notorola
Mericson
Rower
2001
32
48
56
50
60
 
6. What is the total number of Tokia mobiles sold (in million) in 2006 (approximately) ?
  1. 50
  2. 45
  3. 48
  4. 52
  5. None of these
7. What is the ratio of the number of Zamsung mobiles sold in 2004 to the number of Mericson mobiles sold in the same year ?
  1. 10 : 13
  2. 121 : 360
  3. 11 : 12
  4. 161 : 198
  5. None of these
8. What is the approximate difference between the number of Notorola mobiles sold in 2005 and the number of Rower mobiles sold in the same year (in millions) ? 
  1. 3.5
  2. 5
  3. 10
  4. 13
  5. None of these
9. What is the total number of mobile sold by the given companies in 2002 (in millions) ?
  1. 253
  2. 269
  3. 274
  4. 263
  5. None of these
10. How many Zamsung mobiles were sold in 2005 (in millions) ?
  1. 52.164
  2. 55.384
  3. 50.286
  4. 49.268
  5. None of these
Directions (Q. No. 11-14) : Study the following line graph carefully and answer accordingly. 

Percentage of savings of two persons A and B over the years
Note : Savings percentage = ( Savings / Income ) x 100%

11. The income of A and B are equal in 2012 and in 2013 the income of A is increased by 25% and that of B by 10%. What is the ratio of the expenditure of A to that of B in 2012 and 2013 together ?
  1. 67 : 73
  2. 50 : 51
  3. 40 : 37
  4. cannot be determined 
  5. None of these
12. In how many years did the savings of both A and B increase ?
  1. 4
  2. 2
  3. 3
  4. cannot be determined 
  5. None of these
13. The Savings of B in 2011 were Rs. 1.44 lakh. What were his savings in 2010, if in 2011 his income was increased by 20% over that in 2010 ?
  1. Rs. 1.6 lakh
  2. Rs. 1.92 lakh
  3. Rs. 2.34 lakh
  4. Cannot be determined
  5. None of these
14. If the incomes of A and B are in the ratio 5 : 4 in 2008 and the sum of their expenditures in 2008 is Rs. 9.25 lakh, then find the average savings of A and B together in 2008 ?
  1. Rs. 0.84 lakh
  2. Rs. 1 lakh
  3. Rs. 1.2 lakh
  4. Rs. 1.44 lakh
  5. None of these
15. In how many different ways can we arrange the letters of the word PERIOD such that E is always placed immediately before P, and O is always placed immediately before I ?
  1. 6!
  2. 4!
  3. 4! x 2! 
  4. 4! x 2! x 2!
  5. None of these

Solutions :

1.
Salary of O is 62.5% of his total income
So, Salary of O = (6.25/100) x 6000 = Rs. 3750
Salary of N is 25% of his total income
So, Salary of N = (25/100) x 7000 = Rs. 1750
=> Difference in their salaries = Rs. (3750 - 1750) = Rs. 2000
2. 
The interest from P's savings is 25% of his income. 
=> Interest from his savings = (25 / 100) x 8000 = Rs. 2000
3.
Incentives of N are 25% of his total income and so is his salary.
=> Salary of N is also Rs. 2000
4.
Salary of M is 50% of his total income, hence his salary will be 1/2 of his total income. 
Note : The actual amount does not matter as figures in percentage can be directly considered for the fractional part. 
5.
I - Cannot be inferred as the salaries or total income of P and M is not known. 
II - Salary of N is 25% of his total income and so is his incentives. Hence, they are qual. 
III - Cannot be inferred as the actual figures are not known. 
So the answer is option 2. 
6. 
Total number of Tokia mobiles sold in 2006
= 3,20,00,000 x (110/100) x (120/100) x (85/100) x (125/100) x (108/100) = 48 milllion
7.
The number of Zamsung mobiles sold in 2004 
= 48000000 x (115/100) x (125/100) x (70/100) =  48300000

The number of Mericson mobiles sold in 2004

= 50000000 x (90/100) x (120/100) x (110/100) 

= 59400000

=> Required ratio = 483 / 594 = 161 / 198


8.

The number of Notorala mobiles sold in 2005

= 56 x 1.1 x 0.9 x 1.15 x 1.2 = 76.5 million

The number of Rower mobiles sold in 2005

= 60 x 1.2 x 1.15 x 1.1 x 0.8 = 73 million

=> The required difference = 76.5 - 73 = 3.5 million

9. 

Total number of mobiles sold in 2002 

= 32 x 1.1 + 48 x 1.15 + 56 x 1.1 + 50 x 0.9 + 60 x 1.2 = 269

10.

Total number of Zamsung mobiles sold in 2005 (in millions)

= 48 x 1.15 x 1.25 x .7 x 1.08
= 52.164
11.
Let the income of A and B in 2012 be Rs. 100
=> Income of A in 2013 = Rs. 125
=> Income of B in  2013 = Rs. 110

=> Expenditure of A in 2012 and 2013 together

= Rs. 70 + Rs. 125 x (64/100) = Rs. 150

Expenditure of B in 2012 and 2013 together

= Rs. 76 + Rs. 110 x (70/100) = Rs. 153

=> Required ratio = 150 : 153 = 50 : 51

12.

As there is no information regarding income we cannot say.


13.

Let income of B in 2011 be Rs. 100

Given 15% = Rs. 1.44 lakh

I = Rs. 9.6 lakh
=> Income of B in 2010 = (5/6) x Rs. 9.6 lakh = Rs. 8 lakh
= (1/5) x Rs. 8 lakh = Rs. 1.6 lakh
14. 
Let income of A in 2008 be 5i
=> Income of B in 2008 = 4i
 Given, 
(76/100) x 5i + 0/100) x 4i = Rs. 6.25 lakh
=> 3.8i + 3.6i = 7.4i = Rs. 9.25 lakh
=> Average savings of A and B in 2008
= 1/2 (1.2i + 0.4i ) = 0.8i
 = 0.8 x (1/7.4) x Rs. 9.25 lakh

= 8 x Rs. 0.125 lakh

= Rs. 1 lakh

15.

Consider E and P as one unit as also O and I.

We have four things to be arranged in a straight line (two groups and two alphabets) 

Total number of ways = 4!

(Rearrangement within a group is not considered as E and O should be immediately before P and I, respectively).

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