Equations

1

A person has only Rs. 1 and Rs. 2 coins with her. If the total number of coins that she has is 50 and the amount of money with her is Rs. 75, then the number of Rs. 1 and Rs. 2 coins are, respectively.

  1. 30 and 20
  2. 35 and 15
  3. 25 and 25
  4. 15 and 35
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2

X paid Rs. 47 for certain cups of tea and coffee. If tea costs Rs. 5 per cup and coffee costs Rs. 8 per cup, which one of the following statements is correct?

  1. He drank 8 cups of tea and coffee.
  2. He drank the same number of cups of tea and coffee.
  3. He drank more tea than coffee.
  4. He drank more coffee than tea.
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3

The system of equations 2x + 4y = 6 and 4x + 8y = 8 is

  1. Consistent with a unique solution
  2. Consistent with infinitely many solutions
  3. Inconsistent
  4. None of the above
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4

Sunil wants to spend Rs.200 on two types of sweets, costing Rs.7 and Rs.10 respectively. What is the maximum number of sweets he can get so that no money is left over?

  1. 25
  2. 26
  3. 27
  4. 28
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5

Leela got married 6 years ago. Today her age is 1¼ times her age at the time of her marriage. Her son’s age is 1/10 times her age. What is the present age of her son?

  1. 1 year
  2. 2 years
  3. 3 years
  4. 4 years
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6

The pair of linear equations kx + 3y + 1 = 0 and 2x + y + 3 = 0 intersect each other, if

  1. k = 6
  2. k ≠ 6
  3. k = 0
  4. k ≠ 0
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7

A cow costs more than 4 goats but less than 5 goats. If a goat costs between Rs. 600 and Rs. 800, which of the following is a most valid conclusion?

  1. A cow costs between Rs. 2,600 and Rs. 3,800.
  2. A cow costs less than Rs. 3,600.
  3. A cow costs more than Rs. 2,500.
  4. A cow costs between Rs. 2,400 and Rs. 4,000.
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8

A father is nine times as old as his son and the mother is eight times as old as the son. The sum of the father's and the mother's age is 51 years. What is the age of the son?

  1. 3 years
  2. 4 years
  3. 7 years
  4. 5 years
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9

A person ordered 5 pairs of black socks and some pairs of brown socks. The price of a black pair was thrice that of a brown pair. While preparing the bill, the bill clerk interchanged the number of black and brown pairs by mistake which increased the bill by 100%. What was the number of pairs of brown socks in the original order?

  1. 15
  2. 25
  3. 10
  4. 20
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10

In a box of marbles, there are three less white marbles than the red ones and five more white marbles than the green ones. If there are a total of 10 white marbles, how many marbles are there in the box?

  1. 28
  2. 36
  3. 26
  4. 32
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11

In a parking area, the total number of wheels of all the cars (four-wheelers) and scooters/motorbikes (two-wheelers) is 100 more than twice the number of parked vehicles. The number of cars parked is

  1. 35
  2. 45
  3. 50
  4. 55
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12

Each of A, B, C and D has Rs 100. A pays Rs 20 to B, who pays Rs 10 to C, who gets Rs 30 from D. In this context, which one of the following statements is not correct?

  1. D is the poorest
  2. C is the richest
  3. B is richer than D
  4. C has more than what A and D have together
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