Apt series 1
- 1. Ques 1 : The product of two consecutive even number is 4224. What is smaller number? Answer : 64 Description : Let the number is x, (x+2). According to the question, x(x+2)=4224 x2 +2x - 4224 = 0 (x-64) (x+66) x = 64, -66 Small number is = 64 Ques 2 : If the of 49a + 49b = 6272, what is the average of a and b? Answer : 64 Description : Given 49a + 49b = 6272 Average of a and b is = 6272/(49*2) = 64 Ques 3 : Which is the number that comes next in the sequence 0, 6, 24, 60, 120, 210, ? Answer : 336 Description : The Given series is 13 - 1, 23 - 2, 33 - 3, 43 - 4, 53 - 5, 63 - 6. Next number = 73 - 7 = 343 - 7 = 336 Ques 4 : If in a certain language MYSTIFY is coded as NZTUJGZ, how is NEMESIS coded in that language ? Answer : OFNFTJT Description : Each letter in the word MYSTIFY is moved one step forward to obtain the corresponding letter of the code. M Y S T I F Y +1 N Z T U J G Z So, in NEMESIS, N will be coded as O, E as F, M as N and so on. Thus, the code becomes OFNFTJT. Ques 5 : The average of nine consecutive odd numbers is 53. What is the smallest number ? Answer : 45 Description : numbers = 45, 47, 49, 51, 53, 55, 57, 59, 61 smallest no.= 45 Ques 6 : A and B can do a work in 5 days. A alone can do the same work in 8 days. In how many days will B do the same work? Answer : 13(1/3) Description : Time taken by B to complete the work = (1/5 -1/8) = 3/40 =40/3
- 2. =13(1/3) Ques 7 : 5 year ago the average age of P,Q and R was 25 years and 7 years ago, the average age of Q and R was 20 years. What is P's present age ? Answer : 36 years Description : Present age of P, Q and R25 * 3 + 15 = 90 years Present age of Q and R = 20 * 2 + 14 = 54 years p's present age = 90 - 54 = 36 years Ques 8 : Pointing out of photograph, a man tells his friend, "She is the daughter of the only son of my father's wife." How is the girl in the photograph related the the man? Answer : Daughter Description : The relations may be analysed as follows Father's wife -- Mother, Mother's only son -- Himself. So, the girl is man's Daughter. Ques 9 : One day, Ravi left home and cycled 10 km southwards, turned right and cycled 5 km and turned right and cycled 10 km and turned left and cycled 10 km. How many kilometers will he have to cycle to reach his home straight ? Answer : 15 km Description : Ravi starts from home at A, moves 10 km southwards up to B, turns right and moves 5 km upto C, turns right again and moves 10 km upto D and finally turns left and moves 10 km upto E. Thus, his distance from initial position A = AE =AD + DE = BC + DE = (5 + 10) km = 15 km. Ques 10 : A train crosses a pole in 15 seconds and a 100m. Long platform in 25 seconds. What is the length of the train ? Answer : 150m Description : X/15 = (X + 100)/25 5X = 3X + 300 2X = 300 X = 150m. Ques 11 : The difference between compound interest and simple interest at 8% p.a. after 2 years is Rs. 768. What is the sum? Answer : 120000 Description : 768 = P(8/100)2 P = (768/64)100*100 = Rs. 120000 Ques 12 : Anoop and Suyesh invested in the ratio of 4 : 7 respectively. If both invested Rs. 49500 together, how much amount did Anoop invest?
- 3. Answer : Rs. 18000 Description : Sum of ratio = 11 Total invest = 49500 1 ratio = 49500/11 = 4500 4 ratio = 4500*4 = 18000 Ques 13 : The cost of 2 chairs and 3 tables is Rs. 6050 and that of 3 chairs and 2 tables is Rs. 5450. What is the price of 1 table? Answer : Rs. 1450 Description : 2C + 3T = 6050 ------------(1) 3C + 2T = 5450 ------------(2) (1) and (2) 5T = 7250 T = 1450 Rs. Ques 14 : What value will come in place of question mark (?) in the number series given below? 17, 24, 34, 47, 63, ? Answer : 82 Description : +7 + 10 + 13 + 16 + 19 Ques 15 : Nikhil invests 26% of his annual income or Rs. 89856 in mutual fund . What is the monthly income ? Answer : Rs. 28800 Description : Annual income = 89856(100/26) = Rs. 34560 Monthly income = 345600/12 = Rs. 28800. Ques 16 : The difference between 87% and 71% of a number is 448. What is 59% of that number ? Answer : 1652 Description : Number = (448/16)*100 = 2800 Required value = 2800*59% = 1652 Ques 17 : The area of circle is 154 cm2 . What is its circumference ? Answer : 44 cm Description : (22/7)* r2 = 154 r2 = 49 r = 7 cm. circumference = 2*(22/7)*7 = 44 cm. Ques 18 : The average age of a woman and her daughter is 21 years. The ratio of their ages is 5 : 1. What was the ratio of their ages 4 years ago
- 4. Answer : 31 : 3 Description : Woman's age = 42* 5/6 = 35 years Daughter's age = 7 years Ratio = (35 - 4) : (7 - 4) = (31 : 3) Ques 19 : If an amount of Rs. 92070 is distributed amongst 135 persons. What is the amount that each person gets ? Answer : Rs. 682 Description : Amount = 92070/135 = Rs. 682 Ques 20 : A canteen requires 45 kg rice for 3 days. How much kg of rice will it require for the months of June , July and August ? Answer : 1380 kg Description : Quantity of Rice = 45/3 *(31+31+30) = 1380 kg