Scholastic Aptitude Test - Mathematics - Linear Equation in Two Variables

Question - 1

A number consists of two digits such that the digit in the ten's place is less by 2 than the digit in the units place.Three times the number added to \(6\over 7\) times the numberobtained by reversing the digits equals 108. The sum of the digits in the number is

  • A 6
  • B 7
  • C 8
  • D 9

Question - 2

A two digit number is such that the product of the digit is 8. When 18 is added to the number, then the digits are reversed. The number is

  • A 18
  • B 24
  • C 42
  • D 81

Question - 3

Eighteen years ago, a father was three times as old as his son.Now the father is only twice as old as his son. Then the sum of the present ages of the son and the father is

  • A 54
  • B 72
  • C 105
  • D 108

Question - 4

A person's present age is two fifth of the age of his mother.After 8 years, he will be one-half of the age of his mother.How old is the mother at present?

  • A 32 year
  • B 36 years
  • C 40 years
  • D 48 years

Question - 5

A and B each has some money. If A gives Rs. 30 to B then B will have twice the money left with A. But, if B gives Rs.10 to Athen A will have thrice as much as is left with B. How much money does each have?

  • A 62, 34
  • B 60, 34
  • C 62, 30
  • D none of these

Question - 6

If three times the larger of two numbers is divided by the smaller one, we get 4 as the quotient and 3 as the remainder Also, if seven times the smaller number is divided by the larger one, we get 5 as the quotient and t as the remainder.Find the numbers.

  • A 20, 18
  • B 25,17
  • C 25, 18
  • D none of these

Question - 7

If \({1\over2(2x+3y)}+{12\over7(3x-2y)}={1\over2}{7\over (2x+3y)}+{4\over 3x-2y}=2\) then the value of (2x + 3y) is

  • A 7
  • B 6
  • C \(1\over 7\)
  • D none of these

Question - 8

Rs. 1 and Rs. 5 coins are available (as many requireD).
Find the smallest payment which cannot be made by these coins, if not more than 5 coins are  allowed.

  • A 3
  • B 14
  • C 12
  • D 18

Question - 9

Suppose you walk from home to the bus stand at 4 km/hour and immediately return at x km/hour. If the average speed is 6 km/hour, then the value of x is

  • A 8 km/hr
  • B 10 krn/hr
  • C 12 krn /hr
  • D none

Question - 10

7 pens and 3 books cost Rs. 1395, while 5 pens and 4 books cost Rs. 1665, find the cost of a pen and that of a book

  • A 55, 360
  • B 45,360
  • C 35,350
  • D none of these
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