QUANTITATIVE APTITUDE

Study the following table carefully and answer the questions given below it. Cities Dance Music Drama Stand-up Comedy Mimicry M 15 21 24 0.8 0.9 N 12.4 13 26 2 0.5 O 5.7 8 12 0.3 0.3 P 11.3 6 18 1 1.5 Q 17 12.4 11 3 0.4 R 14 10.5 9.8 0.7 0.1 1. The mimicry shows held in city M are what percent of the drama shows held in city O? 1) 7 2) 8.5 3) 6.5 4) 8 5) None of these Ans: (5)   2. What is the average number of entertainment shows held in city P? 1) 756 2) 678 3) 786 4) 698 5) None of these Ans: (1)   3. If the number of music shows in city N and Q is increased by 5%, what will be the total number of music shows in both the cities together? 1) 2,602 2) 2,667 3) 2,540 4) 2,605 5) None of these Ans: (2)   4. What is the ratio of the number of dance shows held in city N to the number of drama shows held in city R? 1) 49 : 62 2) 49 : 51 3) 62 : 45 4) 62 : 49 5) None of these Ans: (4)   5. What is the total number of stand-up comedy shows held in all the cities together? 1) 820 2) 740 3) 780 4) 810 5) None of these Ans: (3)

Read the following Graph: Two different finance companies declare fixed annual rate of interest on the amounts invested with them by investors. The rate of interest offered by these companies may differ from year to year depending on the variation in the economy of the country and the banks rate of interest. The annual rate of interest offered by the two Companies P and Q over the years are shown by the line graph provided below. Annual Rate of Interest Offered by Two Finance Companies Over the Years. Q.1 A sum of Rs. 4.75 lakhs was invested in Company Q in 1999 for one year. How much more interest would have been earned if the sum was invested in Company P? A) Rs. 19,000 B) Rs.14250 C) 11750 D) 9500 Ans. D Difference = Rs. [(10% of 4.75) – (8% of 4.75)] lakhs = Rs. (2% of 4.75) lakhs = Rs. 0.095 lakhs = Rs. 9500.   Q.2 If two different amounts in the ratio 8:9 are invested in Companies P and Q respectively in 2002, then the amounts received after one year as interests from Companies P and Q are respectively in the ratio ? A) 2:3 B) 6:4 C) 3:7 D) 4:3 Ans. D Let the amounts invested in 2002 in Companies P and Q be Rs. 8x and Rs. 9xrespectively. Then, interest received after one year from Company P = Rs. (6% of 8x) = Rs. 48 x 100 and interest received after one year from Company Q = Rs. (4% of 9x) = Rs. 36 x 100 Required ratio = 48 x 100 = 4 36 x 100 3   Q.3 In 2000, a part of Rs. 30 lakhs was invested in Company P and the rest was invested in Company Q for one year. The total interest received was Rs. 2.43 lakhs. What was the amount invested in Company P? A) Rs. 9 lakh B) Rs. 11 lakh C) Rs. 12 lakh D) Rs. 18 lakh Ans. D Let Rs. x lakhs be invested in Company P in 2000, the amount invested in Company Q in 2000 = Rs. (30 – x) lakhs. Total interest received from the two Companies after 1 year = Rs. [(7.5% of x) + {9% of (30 – x)}] lakhs = Rs. 2.7 – 1.5x lakhs. 100 2.7 – 1.5x = 2.43 x = 18 100

Q.1 From the following graph, who out of the four persons A,B,C & D saves the least percentage of his monthly income ? A) A B) B C) C D) D Ans. D Direction for the following 5 (five) items: Study the two figures given below and answer the five items that follow: Q.2 How many Physics professors belong to the age group 35 – 44? A) 18 B) 16 C) 14 D) 12 Ans. B Required no. of physics professors: (32+8)*40/100 =40*40/100 =16 Q.3 Which one of the following diciplines has the highest ratio of males to females? A) Physics B) Mathematics C) Chemistry D) Economics Ans. A Physics=32:8 = 4:1 Mathematics= 28:8 = 7:2 Chemistry= 16:22=8:11 Economics= 24:8=3:1 Therefore, Physics has the highest ratio of males to females. Q.4 What percentage of all Psychology professors are females? A) 40% B) 50% C) 60% D) 70% Ans. C 6/(6+4)*100 % 6/10*100 % 60% Q.5 If the number of female Physics professors in the age group 25 – 34 equals 25% of all the Physics professors in that age group, then what is the number of male Physics professors in the age group 25 – 34? A) 9 B) 6 C) 3 D) 2 Ans. C Since, all physics professors of 25-34 age group= 30% of 40 30/100*40 =12 Therefore, female physics professors in 25-34 age group= 25% of 12 =1/4*12 =3 Now, required no. of male physics professors in 25-34 age group= 12-3 =9 Q.6 If the Psychology professors in the University constitute 2% of all the professors in the University, then what is the number of professors in the University? A) 400 B) 500 C) 600 D) 700 Ans. B Let the number of professors in the university be X Then as per question, 2% of X = (6+4) 2/100*X = 10 X= 1000/2 =500