Data Interpretation (D. I.) for SBI PO 2017

1. What is the ratio of the total number of males in the medical and teaching professions together to the total number of females in the same profession together?

1) 117:43   2)29:183  

3)183:29    4)43:117   5) None of these

2. The total number of people in the teaching profession is what percent of the total number of people in the Law?

1) 87.5   2)93  

3)68      4)79.5   5) None of these

3. What is the total number of males from all the professions together?

1)11472   2)12784  

3)12348   4)12453   5) None of these

4. The females in the Engineering profession are what percent of the males in the management profession?

1)71.71   2)96.43

3)83.16   4)68.54   5) None of these

5. What is the ratio of the number of males in the banking profession to the number of males in the engineering profession?

1)17:7   2)28:55

3)7:11   4)63:52   5) None of these 

Answers:

1) 4

2) 1

3) 3

4) 2

5) 5

Quant question set for SBI and other upcoming exams (with solutions)

Questions:

1. The ratio of the no. of boys to the no. of girls in a school of 720 students is 3: 5. If 18 new girls are admitted in the school, find how many new boys may be admitted so that the ratio of the no. of boys to the no. of girls may change to 2 : 3.

A) 80 

B) 50

C) 42

D) 35

E) None of these 

2. The values of x in the equation 7(x+2p)^2 + 5p^2= 35xp + 117p^2 are

A) (4p, –3p)  

B) (4p, 3p)

C) (–4p, 3p)

D) (–4p, –3p)

E) None of these.

3. What is the amount of compound interest and effective rate of interest if an amount of Rs.20000 is deposited in a bank for one year at the rate of 8% per annum compounded semi annually.

A) 1632, 8.16%

B)  1600, 9.36%

C) 1936, 10.36%

D) 1756, 9.56%

E) None of these.

4. 3 men can complete a piece of work in 6 days. Two days after they started the work, 3 more men joined them. How many days will they take to complete the remaining work? 

A) 5 days 

B) 2 days 

C) 8 days 

D) 12 days 

E) None of these.

5. Two pipes A and B can fill a tank in 36 min. and 45 min. respectively. A water pipe C can empty the tank in 30 min. First A and B are opened. After 7 minutes, C is opened. In how much time, the tank is full?

A) 45 minutes

B) 46 minutes

C) 52 minutes

D) 56 minutes

E)  None of these.

6. Abhishek purchased 140 shirts and 250 trousers at the rate of Rs. 450 and Rs. 550 respectively. What should be the overall average selling price of shirts and trousers so that 40% profit is earned? (Rounded off to next integer).

A) Rs.725 

B) Rs.710  

C) Rs. 720

D) Rs. 700 

E) None of these

7. In a college the students in Arts and Commerce faculties were in the ratio of 4:5 respectively. When 65 more students joined Commerce faculty the ratio became 8:11 respectively. How many students are there in Arts faculty?

A) 520 

B) 650 

C) 715

D) Cannot be determined 

E) None of these

8. An amount of Rs. 10,000 becomes Rs. 14,641 in two years if the interest is compounded half yearly. What is the rate of compound interest % per annum?  

A) 10 

B) 20 

C) 16

D) 12 

E) None of these

Answers with solutions:


1.(C) The ratio of the no. of boys to the no. of girls = 3 : 5
Sum of the ratios = 3 + 5 = 8
So, the no. of boys in the school = (3 × 720)/8 = 270
And the no. of girls in the school = (5 × 720)/8 = 450
Let the no. of new boys admitted be x, then the no. of boys become (270 + x).
After admitting 18 new girls, the no. of girls become 450 + 18 = 468
According to given description of the problem, (270 + x)/468 = 2/3
or, 3 (270 + x) = 2 x 468
or, 810 + 3x = 936 or, 3x = 126 or, x = 42.
Hence the no. of new boys admitted = 42.

2.(A) 7(x+2p)^2+5p^2= 35px+117 p^2
7x^2+33p^2+28px = 35px+ 117 p^2
x^2-px+12p^2 = 0 
on solving x= 4p,-3p

3.(A) Interest = 20000[(1+4/100)^2-1]= 1632
Efeective rate of interst = 1632/20000*100=  8.16%


4.(B) Work done by 3 men in 2 days = (1/6x 2 )=1/3.
 Remaining work = (1 – 1/3)= 2/3
 Now 3 men's 1 day's work =1/6
 1 man's 1 day's work = 1/18
 6 men's 1 day's work = (6 x 1/18=1/3
 Now, 1/3 work is done by them in 1 day.
 2/3 work is done by them in (3 x2/3)= 2 days.

5.(B) Part filled in 7 min = 7[ 1/36 + 1/45] = 7/20
Remaining part = [ 1- 7/20] = 13/20
Net part filled in 1 min. When A,B and C are opened
= [ 1/36 + 1/45 + 1/30 ] = 1/60
Now, 1/60 part is filled in 1 min.
13/20 part is filled in [60x13/20] = 39 min
Total time taken to fill the tank = (39 + 7) min. = 46 min. 

6. (C); CP of 140 shirts and 250 trousers 
= Rs (140 * 450 + 250 * 550) 
= Rs. (63000 + 137500) = Rs 200500 
SP for 40% profit = Rs (140/100  ×200500)=280700 
Average selling price = Rs (280700/(140+250)  )=Rs.720  

7. (A): Let the initial number of students in Arts and Commerce faculties be 4x and 5x respectively. 
According to the question, 
 4x/(5x+65)=8/11 
44x = 40x + 520 
= x = 520/4 = 130 
Number of students in Arts faculty = 4 * 130 = 520 

8. (B) Time = 4  half years 
Rate = R% per half year 
A = P (1+R/100)^T 
14641 = 10000 (1+R/100)^4 
(1+R/100)^4 = 14641/10000= (11/10)^4  
1+R/100=11/10  ? R/100=1/10 
 R =10%  
 Rate % per annum  = 20% 

Data Interpretation for SBI and other upcoming exams part 1

 Directions: ( 1 – 5) : The following pie chart represents the break-up of Raju’s monthly Expenses.

1.    If Raju spent Rs 4500 more on food and transport together than he spent on rent, then Find his monthly expenses.

(1) Rs. 20 ,000

(2) Rs. 15,000

(3) Rs. 30,000

(4) Rs. 40,000

(5) Rs. 35,000

2.    If Raju increased his savings, which is currently 10% of his income, by 20% and reduced his expenses by 20%, then his savings would be what percentage of his expenses?

(1) 15%

(2) 25%

(3) 30%

(4) 10%

(5) 20%

3.    Raju spent 20% of his expenditure on ‘others’ on entertainment. This amounted to Rs 2100. Find his expenditure on education.

(1) 4,500

(2) 5,000

(3) 7,000

(4) 6,500

(5) None of these

4.    Find the angle made by the expenditure on rent and ‘others’ put together.

(1) 150⁰

(2) 160⁰

(3) 180⁰

(4) 200⁰

(5) None of these

5.    As prices dropped, Raju’s expenditure on clothes dropped by 10%. As a result of this, his expenditure on ‘others’ decreased from Rs 10,500 to Rs 10,290.What percentage of his expenditure on ‘others’ was spent on clothes?

(1) 12%

(2) 30%

(3) 16%

(4) 20%

(5) None of these

Answers:

1.    Percentage of his expenditure spent on rent =15%
Percentage of his expenditure spent on transport and food =30%

⇒ 30%−15%=15% = Rs 4500

Monthly expenses: 

= 100%  = ( 100/15) X 4500

= Rs. 30,000

2.    Let his monthly income be Rs x.

Original savings = Rs. ( 10/100)x

New Savings = ( 10/100)x + 20/100(10x/100)

= Rs. ( 12/100)x

Original expenditure = x – (10/100)x

= Rs. ( 90/100)x

New expenditure :

= (90/100)x – (20/100) ( 90x/100)

= Rs. ( 72/100)x

Required  percentage :

[(12x/100)/(72x/100)] x 100

= 16.66%

3.    Expenditure on entertainment:
=20%of(35% of others)=7% of the total expenses⇒ 2100=7% of total expenses

Also education accounts for 20% of the total expenses.

⇒ Expenditure on education: 

= 20% of the total= Rs [ 2100 x ( 20/7)]

= Rs. 6,000

4.    Total expenditure on rent and others:
=15%+35%
=50%

Required angle = ( 50/100) x 360⁰

= 180⁰

5.    Decrease in expenditure on ‘others’:
=10,500−10,290= Rs 210⇒ initial expenditure on clothes: 

= 210 (100/10)

= Rs. 2100

ð  Required percentage:

= ( 2100/10,500) x 100

= 20%

Qunat: Simple Interest part 1

Basic Formula:
Interest = P x R xT
                   100

Questions:

1. A sum of money lent at simple interest amounts to rs 880/- in 2 years and to rs 920/-

    in 3 years. The sum of money (in rupees) is 

    a) 700                 b)760

    c) 784                 d) 800      e) none of theses

2. A person borrows rs 5000/- for 2 yrs at 4% per annum simple interest. He immediately

    lends it to another person at 6.25% per annum for 2 years. His gain in the transaction is.

    a) 112.5                 b)450

    c) 225                    d) 150     e) none of theses

3. Rs 800 becomes rs 956 in 3 years at a certain rate of simple interest. If the rate of interest

    is increased by 4%, what amount will rs 800 becomes in 3 years.

    a) 1020.80           b) 1025

    c) 1052                d) 1050     e) none of theses

4. In what time will rs 8000, at 3% per annum produce the same interest as rs 6000 does in

    5 yrs at 5% interest per annum

    a) 5 yrs                 b) 6 yrs

    c) 3 yrs                 d) 4 yrs      e) none of theses

5. The principal which gives rs 1/- interest per day at the rate of 5% interest per annum is
     a) 5000                b)7300
     c) 36500              d) 3650      e) none of theses

Answers:

1. d
2. c
3. e
4. a
5. b

Quant question set for SBI and other bank exams

1. The length of a rectangle is 20% more than its breadth. What will be the ratio of the area of this rectangle to the area of a square whose side is equal to the breadth of the rectangle? 

(1) 5 : 6

(2) 6 : 5

(3) 2 : 1

(4) Data inadequate 

5) None of these

2. A well with 14m inside diameter is dug 10m deep. Earth taken out around it to a width of 21 m to form an embankment. The height (in metres) of the embankment is:

(1) 1/2 

(2) 2/3

(3) 3/4

(4) 3/4

(5) None of these

3. The area of a square of side 8 cm is equal to a rectangle. Which of the following statement/s is/are definitely true about the rectangle? 

(1) The length of rectangle is 16 times its breadth

(2) The length of rectangle is 32 times its breadth

(3) the breadth of rectangle is 1/6 of its length

(4) the breadth of rectangle is 1/9 of its length

(5) None of these

4. A man sold a wristwatch for Rs. 2.400 at a loss of twenty five per cent. At what rate should he     have sold the wristwatch to earn a profit of twenty five per cent? 

(1) Rs. 3,600 

(2) Rs. 4.000 

(3) Rs. 3,500

(4) Rs. 3.800 

(5) None of these

5. Rehaan purchased a bike for Rs 54.000. He sold it at a loss of 8 per cent. With that money he again purchased another bike and sold it at a profit of 10 per cent. What is his overall loss/profit? 

(1) Loss of  657 

(2) Profit of  567 

(3) Loss of  649

(4) Profit of Rs 648 

(5) None of these

6. Meera purchased an item for Rs. 62,000 and sold it at loss of 25 percent. With that amount she purchased another item and sold it at a gain of 30 percent. What was her overall gain/loss? 

(1) Loss of Rs. 1560 

(2) Profit of Rs. 1560

(3) Loss of Rs. 1550 

(4) Profit of Rs. 1550 

(5) None of these

7. In an objective examination of 90 questions, 5 marks are allotted for every correct answer and 2 marks are deducted for every wrong answer. After attempting all the 90 questions, a student got a total of 387 marks. The number of questions attempted wrong were: 

(1) 9

(2) 18

(3) 27

(4) 36

(5) None of these

8. A man has in all Rs. 640 in the denominations of one-rupee, five-rupee and ten rupee notes. The number of each type of notes are equal. What is the total number of notes he has? 

(1) 90

(2) 100

(3) 120

(4) 150

(5) None of these

9. Sumit had 85 currency notes in all, some of which were of Rs. 100 denomination and the remaining of Rs. 50 denomination. The total amount of all these currency notes was Rs. 5000. What is the value of 50 rupee notes? 

(1) Rs. 150

(2) Rs. 700

(3) Rs. 1500

(4) Rs. 3500

(5) None of these

10. The Qutab Minar casts a shadow 150m long at the same time when the Vikas Minar casts a shadow 120m long on the ground. If the height of the Vikas Minar is 80m, what is the height of the Qutab Minar? 

(1) 100m

(2) 120m 

(3) 150m

(4) 180m 

(5) None of these

Answers..

1. 2
2. 2
3. 1
4. 2
5. 4
6. 3
7. 1
8. 3
9. 4
10. 1

D.I question set for sbi and other bank exams

Directions—(1–5) Study the following table carefully to answer the questions that follow—

The following table gives number of people in different villages and percentage of Men, Women and Children in these villages.

Village	Total No. of People	% of Men	% of Women	% of Children
L	1240	35	45	20
M	2140	45	30	25
N	1450	50	30	20
O	1680	65	20	15
P	2060	40	40	20
Q	1990	40	50	10

1.    Which village has the least number of children?
(1) L                       (2) N                (3) Q               

(4) O                      (5) None of these

2.    What is the respective ratio of the number of women in Villages L and P together to the number of men in the same villages together?
(1) 617:664            (2) 629:691     (3) 664 : 617

(4) 691 :629           (5) None of these

3.    What is the total number of women and children together in Village Q?
(1) 995                   (2) 1184         (3) 1086

(4) 988                   (5) None of these

4.    The total number of people from Village O is approximately what per cent of the total number of people from all the Villages together?
(1) 16                     (2) 21              (3) 11              

(4) 25                     (5) 9

5.    What is the total number of children from Villages M and N together ?
(1) 785                   (2) 825           (3) 855            

(4) 795                   (5) None of these

Directions—(Q. 6–10) Study the following Pie-chart carefully to answer these questions.

The following pie-chart gives the expenditure of funds by university for various purposes.

Total expenditure is 60 lac.

6.    What is the total sum of expenditure on Research work, Purchase of overhead projectors for Ph.D. Classes and Purchase of books for Library together ?

(1) Rs. 22·6 lac     (2) Rs. 22·8 lac   (3) Rs. 23·4 lac          

(4) Rs. 20·8 lac     (5) None of these

7.     What is the difference between the expenditure made by university for Publication of Journals and Psychology Laboratory ?

(1) Rs. 4 lac          (2) Rs. 3 lac         (3) Rs. 4·2 lac

(4) Rs. 3·8 lac       (5) None of these

8.    What is the respective ratio between the expenditure made by university on research work and purchase of books for library ?

(1) 4 : 5                  (2) 5 : 4               (3) 8 : 3           

(4) 8 : 5                  (5) None of these

9.    If the expenditure on purchase of overhead projectors for Ph.D. Students is decreased by 7%, what will be the expenditure on the same after the decrease ?

(1) Rs. 1,33,920    (2) Rs. 13,39,200  (3) Rs. 1,02,000                     

(4) Rs. 1,08,000    (5) None of these

10.   Which of the following is definitely true ?

(1) Ratio between expenditure of university for the purchase of library books and expenditure on computer laboratory is 3 : 1 respectively

(2) Expenditure on medical facilities for students is Rs. 4·6 lac

(3) Difference between the expenditure on research work and medical facilities for student is Rs. 60,000

(4) All are true

(5) None of these

ANSWERS WITH EXPLANATION:

Solutions (1-5)

Village	Total number of people	Number of men	Number of women	Number of children
L	1240	434	558	248
M	2140	963	642	535
N	1450	725	435	290
O	1680	1092	336	252
P	2060	824	824	412
Q	1990	796	995	199
Total	10560	4834	3790	1936

1. (3)

2. (4)

Required ratio = (558 + 824) : (434 + 824) = 691 : 629

3. (5)

Required sum = 995 + 199 = 1194.

4. (1)

Required percentage = (1680/10560)*100 = 16% .

5. (2)

Required sum = 535 + 290 = 825

Solutions (6-10)

6. (2)

Required sum = (8 +24 + 6)% of 60 = 22.8 lac

7. (2)

Required difference = (15 – 10)% of 60 = 3 lac.

8. (5)

Required ratio = 8 : 6 = 4 : 3

9. (2)

The expenditure after the decrease = 93% of 24% of 60 = 13.392 lac = 1339200.

10. (3)

In option (1), the ratio is 1 : 3 not 3 : 1, so (1) is not true.

In option (2), the expenditure on medical facilities = 7% of 60 = 4.2 lacs, hence (2) is not true.

In option (3) the difference = (8 – 7) % of 60 lac = 60000. Hence (3) is true