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1Quantitative Aptitude EBookThis EBook Consists of 1127 Questions and Answers with DetailedSolution on Basic Numeracy/Quantitative Aptitude which is anessential part of all the Aptitude Tests. The First 10 Pages consists ofQuestions and Answers. Complete EBook consisting of Questions andAnswers with Detailed Solution can be purchased for 3.99 athttp://www.aptitudetests4me.com/Buy Quantitative Aptitude Ebook.html1. What percent of the total area of the circular disk is colored red?(a) 66.3%(b) 66.5%(c) 66.7%(d) 67%Answer: c: Total area of disk:Ad pi * r 2Angle t in radians of central angle of red sectort (360-120)* pi / 180 (4/3) piArea of red sector:As (1/2) t * r 2Percentage of total area in redFor Complete EBook with Detailed Solution to all the Questions Please Visithttp://www.aptitudetests4me.com/Buy Quantitative Aptitude Ebook.html
2Quantitative Aptitude EBookP [ (1/2) t * r 2 ] / [ pi * r 2 ] 4 / 6 66.7% (3 significant digits)2.Amy has to visit towns B and C in any order. The roads connecting these townswith her home are shown on the diagram. How many different routes can shetake starting from A and returning to A, going through both B and C (but not morethan once through each) and not travelling any road twice on the same trip?(a) 10(b) 8(c) 6(d) 4Answer: b: Amy can travel clockwise or anticlockwise on the diagram.Clockwise, she has no choice of route from A to B, a choice of one out of tworoutes from B to C, and a choice of one out of two routes from C back to A. Thisgives four possible routes.Similarly, anticlockwise she has four different routes.Total routes 83.For Complete EBook with Detailed Solution to all the Questions Please Visithttp://www.aptitudetests4me.com/Buy Quantitative Aptitude Ebook.html
3Quantitative Aptitude EBookIn the figure above AD 4, AB 3 and CD 9. What is the area of triangle AEC ?(a) 18(b) 13.5(c) 9(d) 4.5Answer: d: If we take AE as the base of triangle AEC, then the height is CD.The height of the triangle is therefore, 9 (given).To find the base we need to see that triangles AEB and CDE are similar. The ratioAB: CD, is therefore equal to the ratio AE: ED. The given information shows thatthe ratio is 3:9, or 1:3.Now dividing AD (4) in this ratio gives us AE as 1.The area of AEC ½ base x height 1/2 x 9 4.54.Which of the following could be a value of x, in the diagram above?(a) 10(b) 20(c) 40(d) 50Answer: b: The marked angle, ABC must be more than 90 degrees because it isthe external angle of triangle BDC, and must be equal to the sum of angles BDC(90) and DCB.For Complete EBook with Detailed Solution to all the Questions Please Visithttp://www.aptitudetests4me.com/Buy Quantitative Aptitude Ebook.html
4Quantitative Aptitude EBookAlso ABC is not a straight line and must be less than 180.Therefore 90 5x 180The only value of x which satisfies this relation is 20.5. If line l is the perpendicular bisector of the line segment with endpoints (2,0)and (0,-2), what is the slope of line l?(a) 2(b) 1(c) 0(d) -1Answer:http://www.aptitudetests4me.com/Buy Quantitative Aptitude Ebook.html6. The front, side, and bottom faces of a rectangular solid have areas of 24 squarecentimeters, 8 square centimeters, and 3 square centimeters, respectively. Whatis the volume of the solid, in cubic centimeters?(a) 24(b) 96(c) 192(d) 288Answer:For Complete EBook with Detailed Solution to all the Questions Please Visithttp://www.aptitudetests4me.com/Buy Quantitative Aptitude Ebook.html
5Quantitative Aptitude EBook7.Rectangle ABCD is inscribed in the circle shown above. If the length of side AB is 5and the length of side BC is 12, what is the area of the shaded region?(a) 40.28(b) 53.1(c) 72.7(d) 78.5Answer:For Complete EBook with Detailed Solution to all the Questions Please Visithttp://www.aptitudetests4me.com/Buy Quantitative Aptitude Ebook.html
6Quantitative Aptitude EBook8. On a regular six-sided die, what is the probability that you will roll an evennumber if you throw the die?(a) 1/6(b) 1/3(c) 1/2(d) 5/6Answer: c: The correct answer is 1/2.There are six numbers on a die: 1, 2, 3, 4, 5, and 6. There are three evennumbers on the die: 2, 4, and 6. 3 out of six numbers are even. 3/6 reduces to1/2.9. Let's say you and your friend play a game that involves several coin flips. Youflip three coins at the same time. If all three coins come up the same (all heads orall tails), your friend wins. Otherwise, you win. What is the probability that youwin?(a) 3/4(b) 1/2(c) 3/8For Complete EBook with Detailed Solution to all the Questions Please Visithttp://www.aptitudetests4me.com/Buy Quantitative Aptitude Ebook.html
7Quantitative Aptitude EBook(d) ¼Answer: a: The correct answer is 3/4.A quick way of going about this problem is determining the probability that oneof your friend's outcomes will appear. The probability of multiple eventshappening is equal to the product of the probability of each single event. Theprobability of flipping heads is 1/2, so the probability of flipping three heads in arow would be (1/2 * 1/2 * 1/2), or 1/8. The same thing occurs in the tails. (1/2 *1/2 * 1/2) is equal to 1/8. The probability of your friend winning is 2/8, or 1/4.Subtract 1/4 from 1 to get 3/4, the probability of you winning.10. A spinner is divided into five equal sections, with each section having adifferent number from 1-5 written on it. When you spin the spinner once, thearrow lands on 1. What is the probability that the spinner lands on 1 when youspin it again?(a) 2/5(b) 1/25(c) 1/5(d) 0Answer: c:http://www.aptitudetests4me.com/Buy Quantitative Aptitude Ebook.html11. You play a game in which you flip a coin until you get tails. Each time your coincomes up heads, you win 200. If you play the game only once, what is theprobability that you make exactly 1000?(a) 1/2(b) 1/32(c) 1/64For Complete EBook with Detailed Solution to all the Questions Please Visithttp://www.aptitudetests4me.com/Buy Quantitative Aptitude Ebook.html
8Quantitative Aptitude EBook(d) 1/16Answer: c: The correct answer was 1/64.You have to flip heads five times in a row to win 1000. The probability offlipping heads once is 1/2, so the probability of flipping heads five times wouldbe (1/2 * 1/2 * 1/2 * 1/2 * 1/2), or 1/32. However, the game is not over yet. Inorder to end the game, you must now flip tails. The probability of that is 1/2.1/2 * 1/32 1/64.12. A spinner is divided into twelve equal sections and each section is thenlabeled with a different number from one to twelve. What is the probability ofspinning a composite number if you spin the spinner once?(a) 5/12(b) 1/2(c) 7/12(d) 1/3Answer: b: The correct answer was 1/2.A composite number is a number with more than two factors. We see that 4, 6,8, 9, 10, and 12 are composite when we look at their factors. 6 out of the 12numbers are composite. 6/12 simplifies to 1/2.13. In the figure below, each side of square ABCD is divided into three equal parts.If a point is chosen at random inside the square, what is the probability it will bein the shaded region?(a) 1/9For Complete EBook with Detailed Solution to all the Questions Please Visithttp://www.aptitudetests4me.com/Buy Quantitative Aptitude Ebook.html
9Quantitative Aptitude EBook(b) 1/8(c) 1/6(d) ¼Answer: Since the answer doesn’t depend on the value of x (the probability willbe the same no matter what x is), let x 1. Then the area of the whole square is32 9. The area of each shaded triangle or of all the white sections can becalculated, but there’s an easier way: notice that, if you slide the four shadedtriangles together, they form a square of side 1. Therefore, the total shadedarea is 1, and so the shaded area is 1/9 of the total area and the probability thatthe chosen point is in the shaded area is 1/9 (A).The idea of subtracting a part from the whole works with line segments as wellas areas.14. In the figure below, the circle with center O is inscribed in square ABCD. Linesegment AO intersects the circle at P. What is the length of AP ?(a) 1(b)(c)(d)Answer:For Complete EBook with Detailed Solution to all the Questions Please Visithttp://www.aptitudetests4me.com/Buy Quantitative Aptitude Ebook.html
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