Practice Question and Answer
8Q: A man said to his son, "I was two-thirds of your present age when you were born". IIf the present age of the man is 48 years, find the present age of the son. 1579 05b5cc7b0e4d2b4197775083f
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Answer :
Explanation :
Let the Present age of the son be P, which means he was born P years ago.At the time the son was born, the age of the man was : (48 - P). So, according to the statement made by the man, his age when the son was born should be equal to 2/3 of P. Therefore, Solving, we get P = 28.8 years; which is the present age of the son.
Q: 8 years ago Ramana's mother was five times older than her daughter. After 8 years the mother will be twice older than her daughter. Find the present age of Ramana? 1115 05b5cc7b0e4d2b4197775083e
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Answer :
Explanation :
Let Ramana's age 8 years ago be x years and mother's age 8 years ago be 5x 2(x + 16) = 5x + 16 2x + 32 = 5x + 16 3x = 16 years Hence, Present age of Ramana = years
Q: The average age of a group of 10 students is 15 years. When 5 more students join the group, the average age increase by 1 year. The average age of the new student is? 2013 05b5cc7b0e4d2b4197775083d
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Explanation :
Total age of 10 students = 150 years Total age of 15 students = 240 years Total age of 5 new students = 240 - 150 = 90 years Average age of 5 new students = 90/5 = 18 years.
Q: The average age of a couple was 26 years at the time of marriage. After 11 years of marriage, the average age of the family with 3 children become 19 years. The average age of the children is 1066 05b5cc7b0e4d2b4197775083c
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Answer :
Explanation :
The average age of a couple = 26 years. Total age of couples = 26 x 2 = 52 years Total age of couple after 11 years = (52 + 2 * 11 ) = 74 years Suppose average age of 3 children after 11 years is 3x years. The average age of children is 7 years.
Q: The ratio of the father's age to the son's age is 3 : 1. The product of their ages is 147. The ratio of their ages after 5 years will be? 1089 05b5cc7b0e4d2b4197775083b
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Answer :
Explanation :
Let father's age be 3x and son's age be x years Father's age after 5 years = 3x + 5 = 26 years Son's age after 5 years = x + 5 = 12 years Ratio of father's and son's ages = 26 : 12 = 13 : 6
Q: Ten years ago, A was half of B in age. If the ratio of their present ages is 3:4, then what will be the total of their present ages? 1528 05b5cc7b0e4d2b4197775083a
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Answer :
Explanation :
Let A's age 10 years ago be x years . Then B's age 10 years ago be 2x years Total of their present ages = x + 10 + 2x + 10 = 3x+20 = 3 * 5 + 20 = 35 years
Q: What is the number of rectangles in the following figure? 1476 05b5cc7b0e4d2b41977750835
5b5cc7b0e4d2b41977750835- 16false
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Answer : 3. "9"
Explanation :
Answer: C) 9 Explanation: The simplest rectangles are AEHG, EFJH, FBKJ, JKCL and GILD i.e 5 in number. The rectangles composed of two components each are AFJG and FBCL i.e 2 in number Only one rectangle namely AFLD is composed of three components and only one rectangle namely ABCD is composed of five components. Thus, there are 5 + 2 + 1 + 1 = 9 rectangles in the given figure.
Q: Find the number of triangles in the given figure? 1625 05b5cc7b0e4d2b41977750830
5b5cc7b0e4d2b41977750830- 111false
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Answer : 3. "15"
Explanation :
Answer: C) 15 Explanation: We may label the figure as shown. The Simplest triangles are AFB, FEB, EBC, DEC, DFB and AFD i.e 6 in number. The triangles composed of two components each are AEB, FBC, DFC, ADE, DBE and ABD i.e 6 in number. The triangles composed of three components each are ADC and ABC i.e 2 in number. There is only one triangle i.e DBC which is composed of four components. Thus, there are 6 + 6 + 2 + 1 = 15 triangles in the figure