Quantitative Aptitude Practice Questions | IBPS 2017

Mentor for Bank Exams
Quantitative Aptitude Practice Questions | IBPS 2017
Dear Readers,
Welcome to Mentor for Bank Exams Quantitative Aptitude Quiz section. The following Quiz covers Data Interpretation (10 Questions), Data Sufficiency (5 Questions), Word Problems (5 Questions). All the best for upcoming IBPS Exams 2017.
Directions (1 – 5): Study the following information carefully and answer the questions given beside.
Note: Collection distribution of Bahubali 2 out of total collection of 500 crore Pie chart values are in Degrees.
1. If the earnings of Video Game Rights of Bahubali 1 increase by 8% and the earnings of Music Rights decrease by 10%, how much more/less money would Bahubali 1 earn than Bahubali 2 in the mentioned segments?
a) 34.5 crore more
b) 34.5 crore less
c) 32.5 crore more
d) 32.5 crore less
e) None of these
2. How much more/less money was earned through TV Rights and DVD Rights taken together by Bahubali 2 than Bahubali 1?
a) 5 crore more
b) 5 crore less
c) 8 crore more
d) 8 crore less
e) None of these
3. Find the variation between the percentage increase in the Ticket Sale and percentage increase in the sale done through Video Game rights from Bahubali 1 to Bahubali 2.
a) 25%
b) 45%
c) 50%
d) 100%
e) None of these
4. What is the percentage increase in the angle subtended at the centre by Sponsorship in Bahubali 2 over that in Bahubali 1?
a) 66.66%
b) 50%
c) 33.33%
d) 25%
e) None of these
5. If the overall collection of Bahubali 2 increases by 50% due to phenominal increase in ticket sale and sponsership happening overseas, by how much percent the other angular collection distribution of other categories will decrease?
a) 25%
b) 33.33%
c) 66.66%
d) 100%
e) None of these
Directions (6 – 10): Study the following information carefully and answer the quetions given beside:
The table below shows the number of users from different Network companies over the years
Year
Vodafone
Idea
Airtel
Reliance
BSNL
Total
2007
2050
9350
8500
14000
43500
2008
2200
10100
21400
10000
12000
55700
2009
2350
18700
12000
14000
58550
2010
2400
11800
16400
12800
56900
2011
2460
14860
14300
14800
14600
2012
2530
12500
16400
16500
65600
2013
2560
32800
12750
18000
86510
2014
2640
13500
12600
20000
69140
2015
2730
24050
16400
21500
22500
87180
2016
2850
24400
20300
22400
26600
Total
24770
172060
150520
164400
6. What is ratio between BSNL users from 2009 to 2014 and Vodafone users from 2008 to 2016?
a) 4 : 1
b) 2345 : 568
c) 1765 : 67
d) 3245 : 368
e) None of these
7. The total number of Airtel and Reliance users in 2010 is what percentage more than the total number of BSNL and Idea users in 2012?
a) 2.5%
b) 2.75%
c) 3.1%
d) 3.5%
e) None of these
8. In 2009 the turnover of Airtel was Rs. 174 Crores. If the turnover of Airtel in 2014 was Rs. 189 Crores, what is the percentage increase in the average earnings per Airtel user from 2009 to 2014?
a) 2.5%
b) 15%
c) 3.44%
d) 6.75%
e) None of these
9. If Reliance and Vodafone gives 50 mb and 30 mb free data respectively to lucrate their users in the year 2013 is approximate how much less than the Idea users, which also gives 50 mb free data to their users in the same year. (1024 mb = 1 GB)
a) 531 GB
b) 551 GB
c) 491 GB
d) 515 GB
e) None of these
10. If 30% of users from all other networks of 2016 switched to Reliance network in 2017, approximate what percent Reliance users hike from 2016?
a) 96%
b) 91%
c) 101%
d) 99%
e) None of these
Directions (11 – 15): Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer.
a) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
b) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
c) If the data either in statement I alone or in statement II alone are sufficient to answer the question.
d) If the data in both statements I and II together are not sufficient to answer the question.
e) If the data in both statements I and II together are necessary to answer the question.
11. Is it 5 o’clock?
I. I’m looking at my watch. From this moment on, the hour hand will take exactly twice as long as the minute hand to reach the number six.
II. I’m looking at my watch. From this moment on, the hour hand will take exactly three times longer than the minute hand to reach the number six.
12. In which month is my birthday?
I. I will celebrate my birthday in a month which begins on a Friday and ends on a Friday too.
II. I will celebrate my birthday in the current month. The result of adding the date of the last Monday of last month and the date of the first Thursday of next month is 38.
13. Two cars start travelling from different points and in opposite directions in a circular race at a constant speed. How much faster is one car going than the other?
I. The distances from A to B, B to C, and C to A are the same.
II. The cars cross for the first time at point A, the second time at point B, the third time at point C, and the fourth time again at point A.
14. Deepa and Subha put 40 matches on the table and make themselves aware of the game for which the matches are to be used. As per the rules, the winner is the one who takes the last match. Who will win the game?
I. Each player in turn takes 1, 3 or 5 matches.
II. Subha chooses to go first and takes 3 matches.
15. What was the score in each match of a three-team tournament in which the three teams (who participated) A, B and C got 3 points, 2 points and 1 point respectively? 2 points are awarded for a win and 1 for a draw.
I. Each team played once against each of the two other teams.
II. Each team scored one goal.
16. Parvati deposited ₹ 5,000 at a newly opended branch of Bharitya Mahila Bank at 10% rate of interest for 2 years presuming the interest to be calculated on the principal sum only once a year. How much more money will Parvati have in her account at the end of two years, if the interest is compounded semi-annually?
a) Rs.50
b) Rs.40
c) Rs.77.50
d) Rs.85.50
e) Rs.72
17. Boman had a certain amount with him. He spent 20% of that to buy a new cellphone and 15% of the remaining on buying a laptop. Then he donated ₹ 160 in a temple. If he is left with ₹ 1,200, how much did he buy the laptop for:
a) 220
b) 240
c) 320
d) 340
e) 350
18. The speed of a boat in still water is 16 km/h and the speed of the current is 2 km/h. The distance travelled by the boat from point A to point B downstream is 12 km more than the distance covered by the same boat from point B to point C upstream in the same time. How much time will the boat take to travel from C to B downstream?
a) 3 hrs
b) 2 hrs 30 min
c) 3 hrs 20 min
d) 2 hrs 20 min
e) 2 hrs 45 min
19. A retailer instead of raising the marked price reduced the cost price by 20% while stitching the price tag on its product. Further the company offers a discount of 6.25% to its customers. In the process company incurs a loss of Rs. 42.5 on a single article. What is the SP of that article?
a) 123.5
b) 127.5
c) 135
d) 140
e) 135
20. Three small businessmen Atal, Bihari and Vajpayee started working on an idea together. They invested ₹ 45000, ₹ 60000 and ₹ 90000 respectively in the beginning. After 3 months, Bihari took out ₹ 20000 and Vajpayee took out ₹ 60000. They got a profit of ₹ 12750 at the end of the year. Bihari’s share in the profit is:
a) Rs.5225
b) Rs.5250
c) Rs.4250
d) Rs.4520
e) Rs.4500

Solutions:
1. B) From Bahubali 1:
The money earned through Video Game Rights = 5% of 250 crore = 12.5 crore
   Earnings after 8% increase = 108% of 12.5 crore = 13.5 crore
The money earned through Music Rights = 12% of 250 crore = 30 crore
   Earning after 10% decrease = 90% of 30 = 27 crore
Now, the total money earned through Video Games Rights and Music Rights = 13.5 + 27 = 40.5 crore
From Bahubali 2:
The money earned through Video Games Rights = 36°
   Total money earned through Video Games Rights = 36/360 of 500 cr = 50 cr
And, the money earned through Music Rights = 18°
  Total earning through Music Rights = 18/360 of 500 cr = 25 cr
Now, the total money earned through Video Games Rights and Music Rights = 50 + 25 = 75 crore
  Reqd difference = 75 40.5 = 34.5 crore
2. A) From Bahubali 2:
The money earned through TV Rights = 54° of 500 crore = 54/360 of 500 cr = 75 cr
The money earned through DVD Rights = 18° of 500 crore = 18/360 of 500 cr = 25 cr
The total money earned through TV Rights and DVD Rights = 75 + 25 = 100 crore
From Bahubali 1:
The money earn through TV Rights = 20% of 250 crore = 50 crore
The money earn through DVD Rights = 18% of 250 crore = 45 crore
The total money earned through TV Rights and DVD Rights = 50 + 45 = 95 crore
   Reqd difference = 100 95 crore = 5 crore more by Bahubali 2.
3. D)
 
4. C) Sponsorship in Bahubali 1 = 360 × 15/100 = 54°
Sponsorship in Bahubali 2 = 72°
   Percentage increase in the angle subtended by Sponsorship
= 18/54 × 100 = 33.33%
5. B) Total earning of Bahubali 2 = 500 cr
Increased collection = 150% of 500 = 750 cr
Distribution of Ticket sale and Sponsership = (108 + 72) degrees of 500 = 50% of 500 = 250 cr
Increased distribution of Ticket sale and Sponsership = 250 + 250 = 500 cr
Therefore, anuglar distribution of Ticket sale and Sponsership = 500/750 × 360 = 240
Therefore, angular distribution of the other categories = 360 - 240 = 120 degrees
And as earlier angular distribution of the other categories = 180 degrees
Percentage reduction in angular distribution of other categories = (180 – 120)/180 × 100 = 33.33%
(6 – 10):
After filling all the missing details, we get
Year
Vodafone
Idea
Airtel
Reliance
BSNL
Total
2007
2050
9350
9600
8500
14000
43500
2008
2200
10100
21400
10000
12000
55700
2009
2350
18700
12000
14000
11500
58550
2010
2400
11800
13500
16400
12800
56900
2011
2460
14860
14300
14800
14600
61020
2012
2530
12500
17670
16400
16500
65600
2013
2560
32800
12750
20400
18000
86510
2014
2640
13500
12600
20000
20400
69140
2015
2730
24050
16400
21500
22500
87180
2016
2850
24400
20300
22400
26600
96550
Total
24770
172060
150520
164400
168900

6. B)
Total number of BSNL users from 2009 to 14 = 11500 + 12800 + 14600 + 16500 + 18000 + 20400 = 93800
And, the total number of Vodafone users from 2008 to 16 = 2200 + 2350 + 2400 + 2460 + 2530 + 2560 + 2640 + 2730 + 2850 = 22720
   Reqd ratio = 93800 : 22720 = 2345 : 568.
7. C)
Total number of Airtel and Reliance users in the year 2010 = 13500 + 16400 = 29900
Total number of BSNL and Idea users in 2012 = 16500 + 12500 = 29000
Therefore required percentage = (29900 – 29000)/29000 × 100 = 900/29000 × 100 = 3.1%
8. C)
Earning of Airtel from each user in 2009 = 174 cr/12000 = 145000
Similarly, in year 2014 = 189 cr/12600 = 150000
Therefore required % = 150000 – 145000/145000 × 100 = 3.44%
9. A)
Total amount of data Reliance gives to their users in 2013 = 20400 × 50 = 1020000 mb ≈ 996 GB
Similarly, Vodafone = 2560 × 30 = 76800 mb = 75 GB
Therefore, total data of Reliance and Vodafone  = 996 + 75 = 1071 GB
And, Idea = 32800 × 50 = 1640000 mb ≈ 1602 GB
   Reqd difference = 1602 1071 = 531 GB
10. D)
The total number of users of all other networks = Total users of 2016 – Reliance users of 2016 = 96550 – 22400 = 74150
And, the total number of users chose Reliance network = 30% of 74150 = 22245
Total number of users of Reliance network in 2016 = 22400
   Total percentage increase =   22245/22400 × 100 ≈ 99%
11. C)
From I: Our answer is ‘Yes’ because from here, the minute hand will take 30 minutes to reach 6, and the hour hand will take an entire hour.
From II: Our answer is ‘No’. There are two possible times in this situation: approx 5 : 15 (the minute hand takes 15 minutes to reach 6 and the hour hand takes 45) and approx 3 : 45 (the minute hand takes 45 minutes to reach 6 and the hour hand takes 2 hours and 15 minutes, which is 135 minutes.)
12. A)
From I: If a month starts and ends with the same day of the week, it must have a complete number of weeks plus one more day. The only possible month is a 29-day February.
From II: In order to add up to 38, it can only be the highest possible number for the last Monday of a month (31) and the highest for the first Thursday of a month (7). Therefore, both last month and the current must have 31 days. The only two 31-day months in a row in the same calendar year are July and August. If both the months are from the same calendar year, August is our answer. But the statement does not say that the both the months are from the same calendar year. Note that December and January are also the months in a row which have 31 days each.
13. B)
From II: The first crossing took place at point A. Consider A as a new starting point. Do the same for every crossing point. Since they drove at consistent speeds, the distances from A to B, B to C, and C to A are the same. After point A, one car must have driven twice the distance as the other to reach B at the same time. Therefore, one goes twice as fast as the other.
14. E)
From I and II together: Every player takes an odd number of matches per play. After the first player goes, there will always be an odd number of matches left. After the second player goes, there will always be an even number of matches left. Therefore, the second player, ieDeepa, is the winner.
15. E)
From I and II together: The team A could win 3 points only by winning one match and tying another. Since they only scored one goal, the results must be 1-0 and 0-0. The team C tied one and lost the other match. The scores must have been 1-1 and 0-1. Their tied game must have been against the team B. So team A beat team C (1-0) and team A tied with team B (0-0).
16. A) If the interest is calculated only once a year, it must be a case of Simple Interest.
Net % rate of interest at SI for 2 years = 10 × 2 = 20%
Now, as in the 2nd scenario the sum is calculated at CI on half-yearly basis, we can find the overall rate of interest approximately by applying the net % effect formula thrice.
Net % rate for 1st two half-years = 5 + 5 + (5 × 5)/100 = 10.25%
Net % rate till next half-year = 10.25 + 5 + (10.25 × 5)/100 = 15.25 + 0.5125 ≈ 15.76%
Net % rate till the last half year = 15.76 + 5 + (15.76 × 5)/100 = 20.76 + 0.788 ≈ 21.55
   Difference in CI and SI = 21.55 ~ 20 = 1.55%
   1.55% of 5000 = 77.5
17. B) Let the Boman had total amount = ₹ 100.
Money spent on buying the cellphone = 20% of 100 = ₹ 20
Remaining amount after spending on cellphone = 100 – 20 = 80
Money spent on buying the laptop  = 15% of 80 = 12
Remaining amount after spending on laptop = 80 – 12 = 68
Now, applying the rule of proportion, we get
68  ≡ 1200 (the money left) + 160 (donated money) or
68 ≡ 1360
12 ≡ x
X = (1360 × 12)/68 = ₹ 240
18. D) Upstream speed = 16 – 2 = 14 kmph
Downstream speed = 16 + 2 = 18 kmph
Let the distance from B to C be 'd' km. Therefore the distance between A and B will be 'd+12' km.
As per the question,
Time taken to travel 'd' at 14 kmph = Time taken to travel (d + 12) at 18 kmph
Then d/14 = (d + 12)/18
or, 18d = 14d + 12 × 14
or, 4d = 12 × 14 d = 42 km
Now, the time taken by the boat to cover the distance from C to B downstream
= 42/18 hrs = 2 1/3 hrs = 2 hrs 20 min
19. B) Let the CP be x
Now CP = 80x/100
Discount price = 93.75/100 × 80/100 × x
Now, loss of the company = Original CP – Discounted (Selling) Price
Therefore, Loss = x – (93.75 × 80x)/10000 = 42.5
10000x – 7500x = 42.5 × 10000 => x = 425000/2500 = 170
Therefore, Selling price of the article = 170 – 42.5 = 127.5
20. C) Ratio of capital = Atal's capital × Time : Bihari's capital × Time : Vajpayee's capital × Time
45000 × 12 : (60000 × 3 + 40000 × 9) : (90000 × 3 + 30000 × 9)
= 540000 : 540000 : 540000 = 54 : 54 : 54 = 1 : 1 : 1
Sum of ratios = 1 + 1 + 1 = 3
Now, Bihari's share = 1/3 × 12750 = Rs.4250