Thursday, June 09, 2016

Quantitative Aptitude Quiz for UIIC AO 2016 - Set 5


Hello and welcome to exampundit. Here is a set of Quantitative Aptitude Quiz for UIIC AO 2016.

Read the followings carefully and answer



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[Directions Q.1-5]: In each of these questions, one question is given followed by data in three statements I, II and III. You have to study the question and the data in statements and decide the question can be answered with data in which of the statements and mark your answer accordingly.

1. What is the rate of interest pcpa?
Statements:
I. The difference between the compound interest and simple interest earned in two years on the amount invested is Rs100.
II. The amount becomes Rs19,500 in three years on simple interest.
III. The simple interest accrued in two years on the same amount at the same rate of interest is Rs3,000.
1) Only I and II
2) Only I and III
3) Only II and III
4) Only I and either II or III
5) None of these




2. What is the speed of the train in kmph?
Statements:
I. The train crosses an ‘x’ metre-long platform in ‘n’ seconds.
II. The length of the train is ‘y’ metres.
III. The train crosses a signal pole in ‘m’ seconds.
1) Any two of the three
2) Only II and III
3) Only I and III
4) All I, II and III
5) Question cannot be answered even with information in all three statements.




3. How many students passed in first class?
Statements:
I. 85% of the students who appeared in examination have passed either in first class or in second class or in pass class.
II. 750 students have passed in second class.
III. The number of students who passed in pass class is 28% of those passed in second class.
1) All I, II and III
2) Only I and III
3) Only II and III
4) Question cannot be answered even with information in all three statements.
5) None of these




4. What is the amount invested in Scheme ‘B’?
Statements:
I. The amounts invested in Schemes ‘A’ and ‘B’ are in the ratio of 2 : 3.
II. The amount invested in Scheme ‘A’ is 40% of the total amount invested.
III. The amount invested in Scheme ‘A’ is Rs 45,000.
1) Only I and II
2) Only I and III
3) Only II and III
4) All I, II and III
5) Only III and either I or II




5. What is the cost of flooring a rectangular hall?
Statements:
I. The length of the rectangle is 6 metres.
II. The breadth of the rectangle is two-thirds of its length.
III. The cost of flooring the area of 100 cm2 is Rs45.
1) Only I and III
2) Only II and III
3) All I, II and III
4) Question cannot be answered even with data in all three statements.
5) None of these




6. Green Arrow and the Flash together can complete an assignment of data entry in five days. The Flash’s speed is 80% of Green Arrow’s speed and the total key depressions in the assignment are 5,76,000. What is Green Arrow’s speed in key depressions per hour if they work for 8 hours a day?
1) 4800
2) 6400
3) 8000
4) 7200
5) None of these




7. Out of five girls and three boys, four children are to be randomly selected for a quiz contest. What is the probability that all the selected children are girls?
1) 1/14
2) 1/7
3) 5/17
4) 2/17
5) None of these




8. Profit earned by Lex Corp is distributed among officers and clerks in the ratio of 5 : 3. If the number of officers is 45 and the number of clerks is 80 and the amount received by each officer is Rs. 25,000, what was the total amount of profit earned?
1) Rs. 22 lakh
2) Rs. 18.25 lakh
3) Rs. 18 lakh
4) Rs. 23.25 lakh
5) None of these




9. A shopkeeper labelled the price of his articles so as to earn a profit of 30% on the cost price. He then sold the articles by offering a discount of 10% on the labelled price. What is the actual per cent profit earned in the deal?
1) 18%
2) 15%
3) 20%
4) Cannot be determined
5) None of these




10. Tony Stark’s salary increases every year by 10% in June. If there is no other increase or reduction in the salary and his salary in June 2011 was Rs. 22,385, what was his salary in June 2009?
1) Rs. 18,650
2) Rs. 18,000
3) Rs. 19,250
4) Rs. 18,500
5) None of these





Solutions:

1. Both II & III is needed. It is very easy, so we are not giving any solution.



2. Cannot be determined even if we use all the statements.



3. Using statement II and III, we can find the number of students in second class and pass class only. As there is no link given between the first class and the other classes, we cannot find the number of students in first class.



4. Using Statement I:
A/B = 2/3
Using Statement II: A is 40% of total. So B is 60% of total amount invested.
A/B = 40/60 2/3
Using statement III: A = 45000
Putting the value of statement III in any of the statements
I or II, we can find the amount invested in scheme B.



5. Using statement I and II we can find the area of the rectangle and using statement III we can find the cost.



6. Ratio of the work done by The Flash and Green Arrow = 4 : 5
Total key depressions done by Green Arrow
= 5/9 × 576000 = 3,20,000
Green Arrow’s speed in key depressions per hour =
320000/8×5 = 8000



7. Total number of ways of selecting 4 children out of 8 = 8C4 = 8×7×6×5/1×2×3×4 = 70
Number of ways of selecting 4 girls out of 5 = 5C4  = 5
Required probability = 5/70 = 1/14



8. Amount received by all the officers = 45 × 25000 = 11,25,000
Amount received by each clerk = 3/5× 25000 = 15000
Amount received by all the clerks = 80 × 15000 = 12,00,000
Total amount of profit earned = 11,25,000 + 12,00,000 = 23.25 lakh.



9. Let the cost price of the articles be Rs. 100
To earn a profit of 30% he labelled them Rs. 130.
After giving a discount of 10% the selling price of the articles = 0.9 × 130 = 117
So, actual profit per cent = (117 - 100)/100 × 100 = 17%


10. Salary in June 2011 = 22385

Salary in June 2009 = 22385/1.1 × 1.1 = 18500



Regards



Team ExamPundit

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