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Aptitude Exam Question Paper

For Diploma in Advanced Computing February 2003 Batch

Problem Solving Ability

Date: 13th Mar 2003 Duration: 30 minutes Max. Marks: 30 1 mark each

1. In the figure above, three circles are tangent to each other at the points shown. If circle P has

a diameter of 10, circle Q has a diameter of 8, and circle R has a diameter of 6, then what is the perimeter of triangle PQR? a. 24* b. 18 c. 12 d. 9

Answer1 2. A trapezium ABCD is formed by adding the rectangle ABEF whose area is 6 square inches

and two right triangles AFD and BEC equal in area of t sq. inches. What is the area of the trapezoid in square inches? a. 2t + 6* b. 5t + 25 c. 2.5t + 12.5 d. (t + 5)2

Answer1 3. Ram is standing 180 yards due north of point P. Sham is standing 240 yards due west of

point P. What is the shortest distance between Sham and Ram? a. 60 yards b. 300 yards* c. 420 yards d. 900 yards

Answer2 4. A, B and C play cricket. Ratio of A‘s runs to C‘s runs and C‘s runs to B‘s runs are same as

3:2. They score altogether 342 runs. The runs A, B, C respectively scored were. a. 162,108,72 b. 108,72,162 c. 72,108,162 d. 162,72,108*

Answer4 5. (x-a)(x-b)(x-c)....(x-z) = ?

a. 1 b. -1 c. 0* d. can‘t be determined.

Answer3 6. Two pipes A and B can fill a tank in 20 and 25 seconds respectively. Both are opened at the

same time and after 5 minutes the first one is closed. How much more time will it take for the tank to be full? a. 13 min 45 sec*

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b. 10 min c. 18 min d. 15 min 45 sec

Answer1 7. The price of 4 rolls, 6 muffins, and 3 loaves of bread at a certain bakery is $9.10. The price of

2 rolls, 3 muffins, and a loaf of bread at the same bakery is $3.90. What is the price of a loaf of bread at this bakery? a. $1.10 b. $1.20 c. $1.25 d. $1.30*

Answer4 8. The floor of a rectangular room is 15m long and 12m wide. The room is surrounded by a long

verandah of width 2m on all the sides. The area of the verandah is a. 124 sq.m* b. 120 sq.m c. 108 sq.m d. 58 sq.m

Answer1 9. A cylindrical vessel of radius 4 cm contains water. A solid sphere of radius 3 cm is lowered

into the water until it is completely immersed. The water level in the vessel will rise by a. 9 / 2 cm b. 9 / 4 cm* c. 4 / 9 cm d. 2 / 9 cm

Answer2 10. By selling 12 marbles for a rupee, a shopkeeper loses 20%. In order to gain 20% in the

transaction he should sell the marbles at the rate of how many marbles for a rupee? a. 8* b. 6 c. 4 d. 3

Answer1 11. How many kilometers does a car travel if it averages a rate of 35 kilometers per hour for 3

hours and 24 minutes? a. 109 b. 112 c. 113 d. 119*

Answer4 12. Ashu can weave a carpet in 10 hrs. Mita can do the same in 5 hrs. If they both do it together,

it can be completed in a. 6 hrs b. 3 hrs c. 7 hrs and 30 mins d. 3 hrs and 20 mins*

Answer4 13. A man left Rs.500,000 to his three sons. For every rupee that Amar received, Brijmohan

received Rs.1.50 and Chellury received Rs.2.50. How much money was left with Brijmohan? a. Rs. 75000 b. Rs. 90000 c. Rs. 150000* d. Rs. 180000

Answer3 14. How many degrees are there in an angle formed by the hands of a clock at 2:30?

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a. 100 b. 105* c. 110 d. 115

Answer2 15. If it is 250 miles from New York to Boston and 120 miles from New York to Hartford, what

Percentage of the Distance from New York to Boston is the distane from New York to Harford? a. 12 b. 24 c. 36 d. 48

Answer4 16. City B is 8 miles east of city A. City C is 6 miles north of city B. City D is 16 east of city C, and

city E is 12 miles north of city D. What is distance from city A To city E? a. 30 b. 24 c. 20 d. 30

Answer4 17. If x+y=z and x & y are positive, then which of the following statements can be inferred? I. x < y II. x < z III. x < 2z

a. I only b. II only c. I and II only d. II and III only

Answer4 18. The shortest form of 64/10 is

a. 6(2/5) b. 32/10 c. 5(2/5) d. 4(2/5)

Answer1 19. 13/(0.05%of10)x(1/100)

a. 26 b. 13 c. 52 d. 64

Answer1 20. A gardener arranges 729 plants in such a way that each row contains as many as there are

rows. Find out the number of plants in a row. a. 29 b. 27 c. 18 d. 72

Answer2 21. If a book is 2.5cms thick what is the height of a pile of 200 such books in metre?

a. 100 m b. 500 m c. 5 m d. 50 m

Answer3 22. A man saves 2/5 of his salary .If he spends Rs.600 per month, what is his total salary?

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a. 200 b. 400 c. 600 d. 1000

Answer4 23. Find the least number, which must be subtracted from 7145 to make it a perfect square.

a. 84 b. 87 c. 19 d. none of these

Answer4 24. Nirala has Rs. 20 less than Rakesh and they together have Rs. 260. What is the share of

Nirala? a. Rs. 120 b. Rs. 80 c. Rs. 90 d. Rs. 70

Answer1 25. A 250-meter long train crosses a pole in 12 seconds. What is its speed In kilometers per

hour? a. 25 b. 50 c. 75 d. 100

Answer3 26. A number exceeds its one third by 20. What is the number?

a. 15 b. 20 c. 45 d. 30

Answer4 27. 15 Pens fit in a box and 1 dozen boxes are packed in a suitcase. How many suitcases will be

needed to pack 1800 pens? a. 15 b. 10 c. 12 d. 18

Answer2 28. If both values on left and right side of symbol :: should have same relation ,then the value of

X is ----- if 3 : X :: X : 27 a. 81 b. 3 c. 19 d. 9

Answer4 29. If the fraction 60/N has been reduced to lowest terms, which of the following numbers may be

a factor of N? a. 25 b. 27 c. 49 d. 110

Answer3 30. Margaret earns an average of 88 on her first four calculus exams. To get a grade of A in the

course, she must have a 90 average. What grade must Margaret earn on her next calculus exam to raise her average to 90?

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a. 98 b. 96 c. 94 d. 92

Answer1