Linear & Quadratic Equations

Q1.      The total cost of 6 books and 4 pencils is Rs 34 and that of 5 books and 5 pencils is Rs 30. The cost of each books and pencils (in Rs) respectively is

1) 1 & 5        2) 5 & 1           3) 6 & 1        4) 1 & 6           5) None

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Q2.      The sum of two numbers is 80. If the larger number exceeds four times the smaller one by 5, then the smaller number is:

1) 5               2) 15                3)20              4)25                 5) None

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Q3.      Let x and y be the costs of a mango and an orange respectively. Suppose, cost of 2 mangoes is 1 rupee more than cost of 3 oranges and cost of 3 oranges is 1 rupee more than the cost of one mango. Then:

1) 2x -3y =1, x – 3y =-1          2) 2x – 3y = 1, 3y – x =-1

3) 2x + 3y =1, 3y – x =-1        4) 3y – 2x =1, x – 3y = 1               

5) None

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Q4.  If three times the larger of two numbers is divided by the smaller, the quotient and the reminder, each is equal to 6. If five times the smaller is divided by the larger, the quotient is 2 and the remainder is 3. The smaller number is:

1) 6               2) 7                   3) 8               4) 9                   5) None

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Q5.      A number consist of two digits, whose sum is 10. If 18 is subtracted from the number, digits are reversed, the number is:

1) 64             2) 46                3) 55             4) 73                5) None

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Q6.      A number consists of two digits whose sum is 9. The number obtained by reserving the order of the digits of the given number, exceeds the given number by 27. The number is:

1) 36             2) 45                3) 54             4) 27                5) None

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Q7.      There are two examination halls, P and Q. If 10 students are sent from P to Q , then number of  students in each room is the same. If 20 students are sent from Q to P, then the number of students in P is double of that in Q. The number of students in P and Q respectively are:

1)100, 80     2)80, 60           3)70, 50       4) 60, 40          5) None

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Q8.      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 A, then A will have thrice as much as is left with B. then, A and B have respectively:

1) Rs. 44, Rs 72              2) Rs 62, Rs 34             3)Rs 72,Rs 44

4) Rs 34, Rs 62               5) None

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Q9.      A man purchased 47 stamps of 20 paisa and 15 paisa. The total amount he spent was Rs 8.80. The number of 20 paisa and 15 paisa stamps which he purchased.

1) 12 and 35 respectively       2) 10 and 37 respectively              

3) 35 and 12 respectively       4) can’t be determined    5) None

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Q10.   A purse contains only 25 paise and 10 paise coins. The total amount in the purse is Rs 8.25. if the number of 25 paise coins is one- third of the number of 10 paise coins in the purse, then the total number of coins in the purse is:

1) 30             2) 40                3) 45             4)60                 5) None

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Q11.   There are two numbers, such that three times the first number exceeds the second number by 2. First number when added to 3 times the second number gives 24. Find these two numbers.

1) 3,7            2) 4,6               3) 2,5            4) 8,9               5)None

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Q12.   Seven years ago Bill was seven times as old as Melinda, and three years hence Bill will be three times as old as Melinda. Find their present ages.

1) 24, 28      2) 3, 21            3) 5, 15         4) 42, 12          5) None

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Q13.   A Sum of money was distributed equally among forty five number of children. If there were 5 children less, each would have received a rupee more. But if there were 15 children more, each would have received Rs. 2 less. Find the sum of money distributed.

1) Rs. 120    2) Rs. 125       3) Rs. 100    4) Rs. 360       5) None

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Q14.   In a pet shop, there are twice as many cats as there are dogs, and as many parrots as 1/6 the number of dogs and as many mynahs as 1/8 the number of dogs. If the total number of pets in the shop is 1580, then find the number of cats in the shop.

1)      480     2) 960              3) 15168      4) 30336         5) None

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Q15.   A man had some hens and cows. If the number of heads is 48 and the number of feet equals 140, then the number of hens is:

(1) 22                  (2) 23         (3) 24                  (4) 26         5) None

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Answers

1) 2           2) 2             3) 1             4) 2               5) 1             6) 1

7) 1           8) 2             9) 3             10) 4             11) 1           12) 4

13) 4         14) 1           15) 4