Aptitude test answer

ptitude Test 3

Aptitude

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1. The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is Rs. 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is: A. 3500 B. 4000 C. 4050 D. 5000 Answer: Option B Explanation: Let P, Q and R represent their respective monthly incomes. Then, we have: P + Q = (5050 x 2) = 10100 .... (i) Q + R = (6250 x 2) = 12500 .... (ii) P + R = (5200 x 2) = 10400 .... (iii) Adding (i), (ii) and (iii), we get: 2(P + Q + R) = 33000 or P + Q + R = 16500 .... (iv) Subtracting (ii) from (iv), we get P = 4000. P's monthly income = Rs. 4000. Learn more problems on : Average Discuss about this problem : Discuss in Forum 2. A library has an average of 510 visitors on Sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is: A. 250 B. 276 C. 280 D. 285 Answer: Option D Explanation: Since the month begins with a Sunday, to there will be five Sundays in the month. Required average = 510 x 5 + 240 x 25 30 = 8550 30 = 285 Learn more problems on : Average Discuss about this problem : Discuss in Forum 3. The sum of two number is 25 and their difference is 13. Find their product. A. 104 B. 114 C. 315 D. 325 Answer: Option B Explanation: Let the numbers be x and y. Then, x + y = 25 and x - y = 13. 4xy = (x + y)2 - (x- y)2 = (25)2 - (13)2 = (625 - 169) = 456 xy = 114. Learn more problems on : Problems on Numbers Discuss about this problem : Discuss in Forum Direction (for Q.No. 4): Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both 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. Give answer (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. Give answer (C) if the data either in Statement I or in Statement II alone are sufficient to answer the question. Give answer (D) if the data even in both Statements I and II together are not sufficient to answer the question. Give answer(E) if the data in both Statements I and II together are necessary to answer the question. 4. What is the number? I. The sum of the two digits is 8. The ratio of the two digits is 1 : 3. II. The product of the two digit of a number is 12. The quotient of two digits is 3. A. I alone sufficient while II alone not sufficient to answer B. II alone sufficient while I alone not sufficient to answer C. Either I or II alone sufficient to answer D. Both I and II are not sufficient to answer E. Both I and II are necessary to answer Answer: Option C Explanation: Let the tens and units digit be x and y respectively. Then, I. x + y = 8 and x = 1 y 3 I gives, 4y = 24 y = 6. So, x + 6 = 8 x = 2. II. xy = 12 and x = 3 y 1 II gives, x2 = 36 x = 6. So, 3y = 6 y = 2. Therefore, Either I or II alone sufficient to answer. Learn more problems on : Problems on Numbers Discuss about this problem : Discuss in Forum 5. A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, the how old is B? A. 7 B. 8 C. 9 D. 10 E. 11 Answer: Option D Explanation: Let C's age be x years. Then, B's age = 2x years. A's age = (2x + 2) years. (2x + 2) + 2x + x = 27 5x = 25 x = 5. Hence, B's age = 2x = 10 years. Learn more problems on : Problems on Ages Discuss about this problem : Discuss in Forum 6. (17)3.5 x (17)? = 178 A. 2.29 B. 2.75 C. 4.25 D. 4.5 Answer: Option D Explanation: Let (17)3.5 x (17)x = 178. Then, (17)3.5 + x = 178. 3.5 + x = 8 x = (8 - 3.5) x = 4.5 Learn more problems on : Surds and Indices Discuss about this problem : Discuss in Forum 7. If x = 3 + 22, then the value of x - 1 is: x A. 1 B. 2 C. 22 D. 33 Answer: Option B Explanation: x - 1 2 = x + 1 - 2 x x = (3 + 22) + 1 - 2 (3 + 22) = (3 + 22) + 1 x (3 - 22) - 2 (3 + 22) (3 - 22) = (3 + 22) + (3 - 22) - 2 = 4. x - 1 = 2. x Learn more problems on : Surds and Indices Discuss about this problem : Discuss in Forum 8. A and B together have Rs. 1210. If of A's amount is equal to of B's amount, how much amount does B have? A. Rs. 460 B. Rs. 484 C. Rs. 550 D. Rs. 664 Answer: Option B Explanation: 4 A = 2 B 15 5 A = 2 x 15 B 5 4 A = 3 B 2 A = 3 B 2 A : B = 3 : 2. B's share = Rs. 1210 x 2 = Rs. 484. 5 Learn more problems on : Ratio and Proportion Discuss about this problem : Discuss in Forum 9. Speed of a boat in standing water is 9 kmph and the speed of the stream is 1.5 kmph. A man rows to a place at a distance of 105 km and comes back to the starting point. The total time taken by him is: A. 16 hours B. 18 hours C. 20 hours D. 24 hours Answer: Option D Explanation: Speed upstream = 7.5 kmph. Speed downstream = 10.5 kmph. Total time taken = 105 + 105 hours = 24 hours. 7.5 10.5 Learn more problems on : Boats and Streams Discuss about this problem : Discuss in Forum 10. A sum fetched a total simple interest of Rs. 4016.25 at the rate of 9 p.c.p.a. in 5 years. What is the sum? A. Rs. 4462.50 B. Rs. 8032.50 C. Rs. 8900 D. Rs. 8925 E. None of these Answer: Option D Explanation: Principal = Rs. 100 x 4016.25 9 x 5 = Rs. 401625 45 = Rs. 8925. Learn more problems on : Simple Interest Discuss about this problem : Discuss in Forum 11. A person takes a loan of Rs. 200 at 5% simple interest. He returns Rs. 100 at the end of 1 year. In order to clear his dues at the end of 2 years, he would pay: A. Rs. 105 B. Rs. 110 C. Rs. 115 D. Rs. 115.50 Answer: Option C Explanation: Amount to be paid = Rs. 100 + 200 x 5 x 1 + 100 x 5 x 1 100 100 = Rs. 115. Learn more problems on : Simple Interest Discuss about this problem : Discuss in Forum 12. The difference between the length and breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is: A. 1520 m2 B. 2420 m2 C. 2480 m2 D. 2520 m2 Answer: Option D Explanation: We have: (l - b) = 23 and 2(l + b) = 206 or (l + b) = 103. Solving the two equations, we get: l = 63 and b = 40. Area = (l x b) = (63 x 40) m2 = 2520 m2. Learn more problems on : Area Discuss about this problem : Discuss in Forum 13. What was the day of the week on 28th May, 2006? A. Thursday B. Friday C. Saturday D. Sunday Answer: Option D Explanation: 28 May, 2006 = (2005 years + Period from 1.1.2006 to 28.5.2006) Odd days in 1600 years = 0 Odd days in 400 years = 0 5 years = (4 ordinary years + 1 leap year) = (4 x 1 + 1 x 2) 6 odd days Jan. Feb. March April May (31 + 28 + 31 + 30 + 28 ) = 148 days 148 days = (21 weeks + 1 day) 1 odd day. Total number of odd days = (0 + 0 + 6 + 1) = 7 0 odd day. Given day is Sunday. Learn more problems on : Calendar Discuss about this problem : Discuss in Forum 14. The angle between the minute hand and the hour hand of a clock when the time is 4.20, is: A. 0º B. 10º C. 5º D. 20º Answer: Option B Explanation: Angle traced by hour hand in 13 hrs = 360 x 13 º = 130º. 3 12 3 Angle traced by min. hand in 20 min. = 360 x 20 º = 120º. 60 Required angle = (130 - 120)º = 10º. Learn more problems on : Clock Discuss about this problem : Discuss in Forum 15. At what angle the hands of a clock are inclined at 15 minutes past 5? A. 58 1 º 2 B. 64º C. 67 1 º 2 D. 72 1 º 2 Answer: Option C Explanation: Angle traced by hour hand in 21 hrs = 360 x 21 º = 157 1 º 4 12 4 2 Angle traced by min. hand in 15 min. = 360 x 15 º = 90º. 60 Required angle = 157 1 º - 90º = 67 1 º 2 2 Learn more problems on : Clock Discuss about this problem : Discuss in Forum 16. The angle between the minute hand and the hour hand of a clock when the time is 8.30, is: A. 80º B. 75º C. 60º D. 105º Answer: Option B Explanation: Angle traced by hour hand in 17 hrs = 360 x 17 º = 255. 2 12 2 Angle traced by min. hand in 30 min. = 360 x 30 º = 180. 60 Required angle = (255 - 180)º = 75º. Learn more problems on : Clock Discuss about this problem : Discuss in Forum 17. At what time between 9 and 10 o'clock will the hands of a watch be together? A. 45 min. past 9 B. 50 min. past 9 C. 49 1 min. past 9 11 D. 48 2 min. past 9 11 Answer: Option C Explanation: To be together between 9 and 10 o'clock, the minute hand has to gain 45 min. spaces. 55 min. spaces gained in 60 min. 45 min. spaces are gained in 60 x 45 min or 49 1 min. 55 11 The hands are together at 49 1 min. past 9. 11 Learn more problems on : Clock Discuss about this problem : Discuss in Forum 18. In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women? A. 63 B. 90 C. 126 D. 45 E. 135 Answer: Option A Explanation: Required number of ways = (7C5 x 3C2) = (7C2 x 3C1) = 7 x 6 x 3 = 63. 2 x 1 Learn more problems on : Permutation and Combination Discuss about this problem : Discuss in Forum Direction (for Q.No. 19): Find out the wrong number in the given sequence of numbers. 19. 8, 13, 21, 32, 47, 63, 83 A. 47 B. 63 C. 32 D. 83 Answer: Option A Explanation: Go on adding 5, 8, 11, 14, 17, 20. So, the number 47 is wrong and must be replaced by 46. Learn more problems on : Odd Man Out and Series Discuss about this problem : Discuss in Forum Direction (for Q.No. 20): Insert the missing number. 20. 1, 4, 9, 16, 25, 36, 49, (....) A. 54 B. 56 C. 64 D. 81 Answer: Option C Explanation: Numbers are 12, 22, 32, 42, 52, 62, 72. So, the next number is 82 = 64. Learn more problems on : Odd Man Out and Series Discuss about this problem : Discuss in Forum

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