1). The present ages of Reena and Usha are 24 and 36 yr, respectively. What was the ratio between the ages of Usha and Reena respectively 8 yr ago?
View Answer Correct Answer: 7 : 4 Required ratio = \( \large\frac{36  8 }{24 8} = \frac{28}{16} = 7 : 4\)
 
2). Raju decided to marry 3 yr after he gets a job. He was 17 yr old when he passed class 12th. After passing class 12th, he had completed his graduation course in 3 yr and PG course in 2 yr. He got the job exactly 1 yr after completing his PG course. At what age will he get married?
View Answer Correct Answer: 26 yr Age of Raju when he got the job = 17+ 3+ 2+ 1 = 23 yr Age of Raju at the time of marriage = 23 + 3 = 26 yr
 
3). The average age of 8 children of a family is 12 yr. If the age of 7 children are 12, 8, 14, 11, 9, 13 and 15 yr, then the age of 8th child will be
View Answer Correct Answer: 14 yr Total age of 8 children =8 x 12 = 96 yr Total age of 7 children = 12 + 8 + 14 + 11 + 9 + 13+ 15=82 The age of 8th child = 96  82 = 14 yr
 
4). The ratio between the present ages of A and B is 4 : 5. If the ratio between their ages 4 yr hence becomes 14 : 17, then what is B's age at present?
View Answer Correct Answer: 30 yr Let the ages of A and B are 4x and 5x yr, respectively. According to the question \( \large\frac{4x + 4}{5x + 4} = \frac{14}{17} \) 68x + 68 = 70x + 56 2x = 12 = > x = 6 Hence, present age of B = 5 x 6 = 30 yr
 
5). In a family, the average age of father and mother is 35 yr. The average age of the father, mother and their only son is 27 yr. What is the age of the son?
View Answer Correct Answer: 11 yr Total age of father and mother = 35 x 2 = 70 yr and total age of father, mother and son = > 27 x 3 = 81 yr Age of son = 81  70 = 11 yr
 
6). The sum of the present ages of Varun and Kapil is 42 yr. The ratio of their ages after 5 yr will be 15 : 11 What is the present age of Kapil?
View Answer Correct Answer: 17 yr Total age of father and mother = 35 x 2 = 70 yr and total age of father, mother and son = > 27 x 3 = 81 yr Age of son = 81  70 = 11 yr Let the present age of Varun be x and present age of Kapil be y. According to the questions, x+ y = 42 ... (1) From the question, After, 5 yr, \( \large\frac{x + 5}{y + 5} = \frac{15}{11} \) = >11x +55 = 15y + 75 = > 11x ï¿½ 15y = 20 .... (2) On solving equation (1) and (2), 11x + 11y = 462 Y = \( \large\frac{442}{26} \) Hence, present age of Kapil = 17 yr
 
7). The average age of 9 students and their teacher is 16 yr. The average age of the first four students is 19 yr and that of the last five is 10 yr. The teacher's age is
View Answer Correct Answer: 34 yr Total age of 9 students and a teacher = 10 x 16 = 160 yr Total age of first 4 students = 4 x 19 = 76 yr and total age of last 5 students = 5 x 10 = 50 yr Age of teacher = 160  76  50 = 34
 
8). At present, Anil is 1.5 times of Purvi's age. 8 yr hence, the respective ratio between Anil and Purvi's age is 25 : 18. What is Purvi's present age?
View Answer Correct Answer: 28 yr Let age of Purvi = x yr Then, age of Anil = 1.5x yr According to the question, \( \large\frac{1.5x + 8 }{x + 8} = \frac{25}{18} \) 27x + 144 = 25x + 200 X = \( \large\frac{56}{2} = 28 \) Hence, present age of Purvi = 28 yr
 
9). The average of the present ages of Sachin and Saurabh is 36 yr. If Sachin is 8 yr older than Saurabh, what is the Saurabh's present age?
View Answer Correct Answer: 32 yr Total age of Sachin and Saurabh =36 x 2 = 72 yr Let age of Saurabh = x yr Then, age of Sachin = (x + 8) yr According to the question, x + x + 8 = 72 2x = 64 X = 32 Hence, Saurabh's present age = 32 yr
 
10). At present Meena is eight times her daughter's age. 8 yr from now, the ratio of the ages of Meena and her daughter will be 10 : 3, respectively. What is Meena's present age?
View Answer Correct Answer: 32 yr Let age of daughter = x yr Age of Meena = 8x yr According to the question, \( \large\frac{8x + 8}{x + 8} = \frac{10}{3}\) 24x + 24 = 10x + 80 14x = 56 x = 4 Hence, Meena's present age = 4 x 8 = 32 yr

Go to :  Total Pages : 5  