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Quant Caselet DI Day 11
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Mission IBPS PO 2017 – Quant Caselet DI Day 11
Quant Section
No Of Question: 10
Test Time: 10 Mins
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Question 1 of 10
1. Question
Category: QuantStudy the following information carefully and answer the questions.
In a group of internet users, 600 people like only Explorer. The number of people who like only Firefox is 4/5 times the number of people who like only Explorer. The number of people who like Google is 30% more than the number of people who like only Firefox. The number of people who like only Google is 50 more than half the number of people who like Google. The number of people who like both Google and Firefox but not Explorer is half the number of people who like only Google.The number of people who like both Firefox and Explorer but not Google is 360 less than the number of people who like Google. The number of people who like both Firefox and Explorer but not Google is 8 times the number of people who like all the three browsersHow many people like all the three browsers?
Correct
The number of people who like only Firefox = 600*4/5 = 480
The number of people who like Google = 480*1.3 = 624
The number of people who like only Google = 624/2 + 50 = 362
The number of people who like both Google and Firefox but not Explorer =362/2 = 181
The number of people who like both Firefox and Explorer but not Google =624360 = 264
The number of people who like all the three browsers = 264/8 = 33
The number of people who like both Google and Explorer but not Firefox =624(362+181+330) = 4833 people like all three browsers.
Incorrect
The number of people who like only Firefox = 600*4/5 = 480
The number of people who like Google = 480*1.3 = 624
The number of people who like only Google = 624/2 + 50 = 362
The number of people who like both Google and Firefox but not Explorer =362/2 = 181
The number of people who like both Firefox and Explorer but not Google =624360 = 264
The number of people who like all the three browsers = 264/8 = 33
The number of people who like both Google and Explorer but not Firefox =624(362+181+330) = 4833 people like all three browsers.

Question 2 of 10
2. Question
Category: QuantStudy the following information carefully and answer the questions.
In a group of internet users, 600 people like only Explorer. The number of people who like only Firefox is 4/5 times the number of people who like only Explorer. The number of people who like Google is 30% more than the number of people who like only Firefox. The number of people who like only Google is 50 more than half the number of people who like Google. The number of people who like both Google and Firefox but not Explorer is half the number of people who like only Google.The number of people who like both Firefox and Explorer but not Google is 360 less than the number of people who like Google. The number of people who like both Firefox and Explorer but not Google is 8 times the number of people who like all the three browsersHow many people like Firefox?
Correct
The number of people who like only Firefox = 600*4/5 = 480
The number of people who like Google = 480*1.3 = 624
The number of people who like only Google = 624/2 + 50 = 362
The number of people who like both Google and Firefox but not Explorer = 362/2= 181
The number of people who like both Firefox and Explorer but not Google = 624360 = 264
The number of people who like all the three browsers = 264/8 = 33
The number of people who like both Google and Explorer but not Firefox = 624(362+181+330) = 48Required number of people =480+181+33++264=958
Incorrect
The number of people who like only Firefox = 600*4/5 = 480
The number of people who like Google = 480*1.3 = 624
The number of people who like only Google = 624/2 + 50 = 362
The number of people who like both Google and Firefox but not Explorer = 362/2= 181
The number of people who like both Firefox and Explorer but not Google = 624360 = 264
The number of people who like all the three browsers = 264/8 = 33
The number of people who like both Google and Explorer but not Firefox = 624(362+181+330) = 48Required number of people =480+181+33++264=958

Question 3 of 10
3. Question
Category: QuantStudy the following information carefully and answer the questions.
In a group of internet users, 600 people like only Explorer. The number of people who like only Firefox is 4/5 times the number of people who like only Explorer. The number of people who like Google is 30% more than the number of people who like only Firefox. The number of people who like only Google is 50 more than half the number of people who like Google. The number of people who like both Google and Firefox but not Explorer is half the number of people who like only Google.The number of people who like both Firefox and Explorer but not Google is 360 less than the number of people who like Google. The number of people who like both Firefox and Explorer but not Google is 8 times the number of people who like all the three browsersThe number of people who like both Google and Explorer is what percent of the number of people who like both Google and Firefox?
Correct
The number of people who like only Firefox = 600*4/5 = 480
The number of people who like Google = 480*1.3 = 624
The number of people who like only Google = 624/2 + 50 = 362
The number of people who like both Google and Firefox but not Explorer = 362/2= 181
The number of people who like both Firefox and Explorer but not Google = 624360 = 264
The number of people who like all the three browsers = 264/8 = 33
The number of people who like both Google and Explorer but not Firefox = 624(362+181+330) = 48Number of people who like both Google and Explorer = 48+33 = 81
Number of people who like both Google and Firefox = 181+33 = 214
Therefore, required percentage = 81*100/214 = 37.85%
Incorrect
The number of people who like only Firefox = 600*4/5 = 480
The number of people who like Google = 480*1.3 = 624
The number of people who like only Google = 624/2 + 50 = 362
The number of people who like both Google and Firefox but not Explorer = 362/2= 181
The number of people who like both Firefox and Explorer but not Google = 624360 = 264
The number of people who like all the three browsers = 264/8 = 33
The number of people who like both Google and Explorer but not Firefox = 624(362+181+330) = 48Number of people who like both Google and Explorer = 48+33 = 81
Number of people who like both Google and Firefox = 181+33 = 214
Therefore, required percentage = 81*100/214 = 37.85%

Question 4 of 10
4. Question
Category: QuantStudy the following information carefully and answer the questions.
In a group of internet users, 600 people like only Explorer. The number of people who like only Firefox is 4/5 times the number of people who like only Explorer. The number of people who like Google is 30% more than the number of people who like only Firefox. The number of people who like only Google is 50 more than half the number of people who like Google. The number of people who like both Google and Firefox but not Explorer is half the number of people who like only Google.The number of people who like both Firefox and Explorer but not Google is 360 less than the number of people who like Google. The number of people who like both Firefox and Explorer but not Google is 8 times the number of people who like all the three browsersWhat is the difference between the number of people who like only Google and the number of people who like only Firefox?
Correct
The number of people who like only Firefox = 600*4/5 = 480
The number of people who like Google = 480*1.3 = 624
The number of people who like only Google = 624/2 + 50 = 362
The number of people who like both Google and Firefox but not Explorer = 362/2= 181
The number of people who like both Firefox and Explorer but not Google = 624360 = 264
The number of people who like all the three browsers = 264/8 = 33
The number of people who like both Google and Explorer but not Firefox = 624(362+181+330) = 48Number of people who likes only Google = 362
Number of people who likes only Firefox = 480
Therefore required Difference = 480 362 = 118
Incorrect
The number of people who like only Firefox = 600*4/5 = 480
The number of people who like Google = 480*1.3 = 624
The number of people who like only Google = 624/2 + 50 = 362
The number of people who like both Google and Firefox but not Explorer = 362/2= 181
The number of people who like both Firefox and Explorer but not Google = 624360 = 264
The number of people who like all the three browsers = 264/8 = 33
The number of people who like both Google and Explorer but not Firefox = 624(362+181+330) = 48Number of people who likes only Google = 362
Number of people who likes only Firefox = 480
Therefore required Difference = 480 362 = 118

Question 5 of 10
5. Question
Category: QuantStudy the following information carefully and answer the questions.
In a group of internet users, 600 people like only Explorer. The number of people who like only Firefox is 4/5 times the number of people who like only Explorer. The number of people who like Google is 30% more than the number of people who like only Firefox. The number of people who like only Google is 50 more than half the number of people who like Google. The number of people who like both Google and Firefox but not Explorer is half the number of people who like only Google.The number of people who like both Firefox and Explorer but not Google is 360 less than the number of people who like Google. The number of people who like both Firefox and Explorer but not Google is 8 times the number of people who like all the three browsersWhat is the total number of people who like at least one of the three browsers?
Correct
The number of people who like only Firefox = 600*4/5 = 480
The number of people who like Google = 480*1.3 = 624
The number of people who like only Google = 624/2 + 50 = 362
The number of people who like both Google and Firefox but not Explorer = 362/2= 181
The number of people who like both Firefox and Explorer but not Google = 624360 = 264
The number of people who like all the three browsers = 264/8 = 33
The number of people who like both Google and Explorer but not Firefox = 624(362+181+330) = 48The number of people who likes atleast one of the three browsers = 480 + 362 + 600 + 181 + 48 + 264 + 33= 1968
Incorrect
The number of people who like only Firefox = 600*4/5 = 480
The number of people who like Google = 480*1.3 = 624
The number of people who like only Google = 624/2 + 50 = 362
The number of people who like both Google and Firefox but not Explorer = 362/2= 181
The number of people who like both Firefox and Explorer but not Google = 624360 = 264
The number of people who like all the three browsers = 264/8 = 33
The number of people who like both Google and Explorer but not Firefox = 624(362+181+330) = 48The number of people who likes atleast one of the three browsers = 480 + 362 + 600 + 181 + 48 + 264 + 33= 1968

Question 6 of 10
6. Question
Category: QuantStudy the following information carefully and answer the questions.
A market research firm conducted a survey in a society to understand the consumption of bottled cold drink. It is found that among all the people who live in the society, 3780 like only Fanta. The number of people who like only Limca is 6/7 of the number of people who like only Fanta. The number of people who like only Pepsi is 30 percent more than the number of people who like only Limca. The number of people who like both Fanta and Limca but not Pepsi is 1/12 of the total number of people who like exactly one cold drink. The number of people who like all the three cold drinks is 25% less than the number of people who like both Fanta and Limca but not Pepsi. The number of people who like exactly two cold drinks is four times the number of people who like all the three cold drinks. The ratio of the number of people who like both Pepsi and Limca but not Fanta to the number of people who like Fanta and Pepsi but not Limca is 1:2.How many people in the society like all the three cold drinks?
Correct
The number of people who like only Limca = 6*3780/7 = 3240
The number of people who like only Pepsi = 3240*1.3 = 4212
The number of people who like both Fanta and Limca but not Pepsi = 1/12* (3240+3780+4212) = 936
The number of people who like all the three cold drinks = 936*(0.75) = 702
The number of people who like exactly two cold drinks = 4*702 = 2808
The number of people who like both Pepsi and Limca but not Fanta =1/3*(2808 936) = 624
The number of people who like Fanta and Pepsi but not Limca = 2/3*(1872) = 1248Incorrect
The number of people who like only Limca = 6*3780/7 = 3240
The number of people who like only Pepsi = 3240*1.3 = 4212
The number of people who like both Fanta and Limca but not Pepsi = 1/12* (3240+3780+4212) = 936
The number of people who like all the three cold drinks = 936*(0.75) = 702
The number of people who like exactly two cold drinks = 4*702 = 2808
The number of people who like both Pepsi and Limca but not Fanta =1/3*(2808 936) = 624
The number of people who like Fanta and Pepsi but not Limca = 2/3*(1872) = 1248 
Question 7 of 10
7. Question
Category: QuantStudy the following information carefully and answer the questions.
A market research firm conducted a survey in a society to understand the consumption of bottled cold drink. It is found that among all the people who live in the society, 3780 like only Fanta. The number of people who like only Limca is 6/7 of the number of people who like only Fanta. The number of people who like only Pepsi is 30 percent more than the number of people who like only Limca. The number of people who like both Fanta and Limca but not Pepsi is 1/12 of the total number of people who like exactly one cold drink. The number of people who like all the three cold drinks is 25% less than the number of people who like both Fanta and Limca but not Pepsi. The number of people who like exactly two cold drinks is four times the number of people who like all the three cold drinks. The ratio of the number of people who like both Pepsi and Limca but not Fanta to the number of people who like Fanta and Pepsi but not Limca is 1:2.What is the total number of people in the society who like at least one of the three cold drinks?
Correct
The number of people who like only Limca = 6*3780/7 = 3240
The number of people who like only Pepsi = 3240*1.3 = 4212
The number of people who like both Fanta and Limca but not Pepsi = 1/12* (3240+3780+4212) = 936
The number of people who like all the three cold drinks = 936*(0.75) = 702
The number of people who like exactly two cold drinks = 4*702 = 2808
The number of people who like both Pepsi and Limca but not Fanta =1/3*(2808 936) = 624
The number of people who like Fanta and Pepsi but not Limca = 2/3*(1872) = 1248The number of people in the society who likes atleast one of three cold drinks = 3240+3780+4212+936+624+1248+702=14742
Incorrect
The number of people who like only Limca = 6*3780/7 = 3240
The number of people who like only Pepsi = 3240*1.3 = 4212
The number of people who like both Fanta and Limca but not Pepsi = 1/12* (3240+3780+4212) = 936
The number of people who like all the three cold drinks = 936*(0.75) = 702
The number of people who like exactly two cold drinks = 4*702 = 2808
The number of people who like both Pepsi and Limca but not Fanta =1/3*(2808 936) = 624
The number of people who like Fanta and Pepsi but not Limca = 2/3*(1872) = 1248The number of people in the society who likes atleast one of three cold drinks = 3240+3780+4212+936+624+1248+702=14742

Question 8 of 10
8. Question
Category: QuantStudy the following information carefully and answer the questions.
A market research firm conducted a survey in a society to understand the consumption of bottled cold drink. It is found that among all the people who live in the society, 3780 like only Fanta. The number of people who like only Limca is 6/7 of the number of people who like only Fanta. The number of people who like only Pepsi is 30 percent more than the number of people who like only Limca. The number of people who like both Fanta and Limca but not Pepsi is 1/12 of the total number of people who like exactly one cold drink. The number of people who like all the three cold drinks is 25% less than the number of people who like both Fanta and Limca but not Pepsi. The number of people who like exactly two cold drinks is four times the number of people who like all the three cold drinks. The ratio of the number of people who like both Pepsi and Limca but not Fanta to the number of people who like Fanta and Pepsi but not Limca is 1:2.The total number of people who like exactly one of the three cold drinks is what percentage of total number of people who like at least one of the three cold drinks?
Correct
The number of people who like only Limca = 6*3780/7 = 3240
The number of people who like only Pepsi = 3240*1.3 = 4212
The number of people who like both Fanta and Limca but not Pepsi = 1/12* (3240+3780+4212) = 936
The number of people who like all the three cold drinks = 936*(0.75) = 702
The number of people who like exactly two cold drinks = 4*702 = 2808
The number of people who like both Pepsi and Limca but not Fanta =1/3*(2808 936) = 624
The number of people who like Fanta and Pepsi but not Limca = 2/3*(1872) = 1248Required Percentage = (3240+3780+4212)/(3240+3780+4212+936+624+1248+702)=100*11232/14742= 76.2%
Incorrect
The number of people who like only Limca = 6*3780/7 = 3240
The number of people who like only Pepsi = 3240*1.3 = 4212
The number of people who like both Fanta and Limca but not Pepsi = 1/12* (3240+3780+4212) = 936
The number of people who like all the three cold drinks = 936*(0.75) = 702
The number of people who like exactly two cold drinks = 4*702 = 2808
The number of people who like both Pepsi and Limca but not Fanta =1/3*(2808 936) = 624
The number of people who like Fanta and Pepsi but not Limca = 2/3*(1872) = 1248Required Percentage = (3240+3780+4212)/(3240+3780+4212+936+624+1248+702)=100*11232/14742= 76.2%

Question 9 of 10
9. Question
Category: QuantStudy the following information carefully and answer the questions.
A market research firm conducted a survey in a society to understand the consumption of bottled cold drink. It is found that among all the people who live in the society, 3780 like only Fanta. The number of people who like only Limca is 6/7 of the number of people who like only Fanta. The number of people who like only Pepsi is 30 percent more than the number of people who like only Limca. The number of people who like both Fanta and Limca but not Pepsi is 1/12 of the total number of people who like exactly one cold drink. The number of people who like all the three cold drinks is 25% less than the number of people who like both Fanta and Limca but not Pepsi. The number of people who like exactly two cold drinks is four times the number of people who like all the three cold drinks. The ratio of the number of people who like both Pepsi and Limca but not Fanta to the number of people who like Fanta and Pepsi but not Limca is 1:2.What is the difference between the number of people who like Fanta and the number of people who like Pepsi?
Correct
The number of people who like only Limca = 6*3780/7 = 3240
The number of people who like only Pepsi = 3240*1.3 = 4212
The number of people who like both Fanta and Limca but not Pepsi = 1/12* (3240+3780+4212) = 936
The number of people who like all the three cold drinks = 936*(0.75) = 702
The number of people who like exactly two cold drinks = 4*702 = 2808
The number of people who like both Pepsi and Limca but not Fanta =1/3*(2808 936) = 624
The number of people who like Fanta and Pepsi but not Limca = 2/3*(1872) = 1248The number of people who likes Fanta = 3780+936+702+1248
The number of people who likes Pepsi = 4212+624+702+1248
Required Difference = (4212+624+702+1248) – (3780+936+702+1248) = 6786 – 6666 = 120
Incorrect
The number of people who like only Limca = 6*3780/7 = 3240
The number of people who like only Pepsi = 3240*1.3 = 4212
The number of people who like both Fanta and Limca but not Pepsi = 1/12* (3240+3780+4212) = 936
The number of people who like all the three cold drinks = 936*(0.75) = 702
The number of people who like exactly two cold drinks = 4*702 = 2808
The number of people who like both Pepsi and Limca but not Fanta =1/3*(2808 936) = 624
The number of people who like Fanta and Pepsi but not Limca = 2/3*(1872) = 1248The number of people who likes Fanta = 3780+936+702+1248
The number of people who likes Pepsi = 4212+624+702+1248
Required Difference = (4212+624+702+1248) – (3780+936+702+1248) = 6786 – 6666 = 120

Question 10 of 10
10. Question
Category: QuantStudy the following information carefully and answer the questions.
A market research firm conducted a survey in a society to understand the consumption of bottled cold drink. It is found that among all the people who live in the society, 3780 like only Fanta. The number of people who like only Limca is 6/7 of the number of people who like only Fanta. The number of people who like only Pepsi is 30 percent more than the number of people who like only Limca. The number of people who like both Fanta and Limca but not Pepsi is 1/12 of the total number of people who like exactly one cold drink. The number of people who like all the three cold drinks is 25% less than the number of people who like both Fanta and Limca but not Pepsi. The number of people who like exactly two cold drinks is four times the number of people who like all the three cold drinks. The ratio of the number of people who like both Pepsi and Limca but not Fanta to the number of people who like Fanta and Pepsi but not Limca is 1:2.What is the total number of people who like both Limca and Fanta?
Correct
The number of people who like only Limca = 6*3780/7 = 3240
The number of people who like only Pepsi = 3240*1.3 = 4212
The number of people who like both Fanta and Limca but not Pepsi = 1/12* (3240+3780+4212) = 936
The number of people who like all the three cold drinks = 936*(0.75) = 702
The number of people who like exactly two cold drinks = 4*702 = 2808
The number of people who like both Pepsi and Limca but not Fanta =1/3*(2808 936) = 624
The number of people who like Fanta and Pepsi but not Limca = 2/3*(1872) = 1248The total number of people who like both Limca and Fanta = 936 + 702 = 1638
Incorrect
The number of people who like only Limca = 6*3780/7 = 3240
The number of people who like only Pepsi = 3240*1.3 = 4212
The number of people who like both Fanta and Limca but not Pepsi = 1/12* (3240+3780+4212) = 936
The number of people who like all the three cold drinks = 936*(0.75) = 702
The number of people who like exactly two cold drinks = 4*702 = 2808
The number of people who like both Pepsi and Limca but not Fanta =1/3*(2808 936) = 624
The number of people who like Fanta and Pepsi but not Limca = 2/3*(1872) = 1248The total number of people who like both Limca and Fanta = 936 + 702 = 1638
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