LINEAR EQUATION1. How many 2 digit numbers exist such that the digit in the tens place is twice the digit in

the unit place?A. 6 b. 4 c. 2 d. data insufficient

2. A man distributes a certain number of chocolates among some children. If he gives three chocolates to each child, he will be left with four chocolates. Instead if he gives four chocolates to each child will be left without any chocolates. Find the number of chocolates the man has?A) 34B) 31C) 52D) 40

3. After three years father will be five times the age of his daughter. After twenty years the daughter will as old as the father was four years ago. What is the present age of the father?a) 18b) 23c) 25d) 274. A parking lot in a theatre complex can accommodate two wheelers & four wheelers. As the show got delayed by an hour, a boy who came to watch a movie spent this time by counting the total number of wheels of varying sizes in the parking lot. When the show was just about to commence the boy shouted aloud “140”. If the total number of vehicles in the parking lot is 55, how many people travelled by car to reach the theatre if four persons travelled by each car and two people travelled on each two wheeler? (Neglect spare tyres that a vehicle has)a) 60b) 56c) 48d) 845. Five friends went to a restaurant to spend their evening. After the fun & frolic it was time to settle the bill which amounted to 650. The amount spend by each person is a distinct integer & any two consecutive bills differed by 15 when arranged in ascending order. What is the lowest amount that anybody could have spent?a) 85b) 100c) 130d) 1406. A four digit number is such that the digit in the tens place is twice the digit in the units place. The digit in the hundreds place is twice the digit in the tens place & the digits in the thousands place is twice the digit in the hundreds place. When the numbers so formed is reversed & subtracted from the original number the resultant number is divisible by

a) 99b) 11c) 9d) More than one of the above7. The cost of a dozen erasers is numerically equal to the numbers of erasers that one can purchase for Rs. 48. What is the price of half a dozen erasers?a) 12b) 24c) 8d) 168. Sum of two numbers is 35 & the sum of their reciprocals is 7/50. Find the smaller of the two numbers.a) 15b) 18c) 17d) 109. Five tables & four chairs together cost Rs. 18000, whereas five chairs & four tables together Rs. 27000. What is the cost of one chair &one table together?a) 6400b) 8700c) 5000d) 4500 10. Akshay had to multiply a number by 23. Instead he multiplied it by 32 & got a result which was 189 more than the actual product. Find the number that akshay multiplied with 23.a) 21b) 24c) 23d) 2211. If the number 3 is added to the numerator of a fraction & the number 1 is subtracted from the denominator of the original fraction is 2, find the original fractiona) 5/4b) 7/5c) 6/5d) 8/512. Manoj has thrice as many sisters as he has brothers. Madhu (Manoj’s sister) has equal number of brothers & sisters. How many children are there in the family?a) 5b) 8c) 6d) None of these

13. Arya has a total of Rs. 500 in denominations of Rs. 10&50.If he has a total of 34 notes with him, how many 10 notes does he want?a) 20b) 24c) 36d) 3014. The sum of the digits of a two digit number is 12. If the unit digit is 1/3rd of tens digit the number isa) 48b) 39c) 84d) 75

15. The age of a father is four times the age of his son & six times the age of his daughter. The product of the ages of his son & daughter is equal to his age, what is his age?a) 24b) 28c) 32d) 2016. Four less than thrice the numerator of a fraction is its denominator. The fraction cannot be?a) 5/12b) 3/8c) 8/20d) 7/1717. Cost of two pens, three sharpeners & four erasers is 45 & cost of seven erasers, four pens, and six sharpeners is 85. Find the cost of an eraser.a) 5b) 3c) 4d) Cannot be determined18. In an examination consisting of 200 questions, one mark is awarded for a correct answer & 1/3rd mark is deducted for a wrong answer. A student attempts all the questions in the paper & scores 120 marks. How many question did the student answer wrongly?a) 40b) 70c) 30d) 6019. What cannot be the sum of the digits of a three digit number where the tens digit is the average of then units & the hundredth digit?a) 15

b) 24c) 29d) 1820. A two digit number is five times the sum of its digits. If nine is added to the number, the digits are reversed. Find the number.a) 34b) 89c) 67d) 45