Dell Equations and Algebra Questions

If xy = - 30 and x2 + y2 = 61, then find the value of (x + y).

The product of two consecutive odd numbers is 4623. 

Which is the greater of the two numbers?

If a - b = 3 and a^2 + b^2 = 29, find the value of ab?

The price of 10 chairs is equal to that of 4 tables. 

The price of 15 chairsand 2 tables together is Rs. 4000. 

The total price of 12 chairs and 3 tables is:

Find the value of a/b + b/a, if a and b are the roots of the quadratic 

equation x2 + 8x + 4 = 0?

The sum of the squares of two consecutive positive integers exceeds their 

product by 91. Find the integers?

The sum of three consecutive odd natural numbers is 93. 

The smallest of three numbers is:

What is the sum of all the natural numbers from 1 to 35?

Jayant gets 3 marks for each right sum and loses 2 marks for each wrong 

sum. He attempts 30 sums and obtains 40 marks. The number of sums attempted 

correctly is

There are 120 legs and 50 heads of some ducks and horses grazing in a field. 

Find the number of horses?

If n^(n/2)=2 is true when n=2 in the same way 

what is the value of n if n^(n/2) =4?

A man could buy a certain number of notebooks for Rs.300. 

If each notebook cost is Rs.5 more, he could have bought 10 notebooks 

less for the same amount. Find the price of each notebook?

The sum of the square of the three consecutive even natural 

numbers is 1460. Find the numbers?

The sum of one-half, one-third and one-fourth of a number 

exceeds the number by 22. The number is

A farmer divides his herd of k cows among his 4 sons 

so that one son gets one half of the herd, the second gets one-fourth, 

the third gets one-fifth and the fourth gets 9 cows. Then k is equal to?

A man has only 20-paise and 25-paise coins in a bag. 

If he has 50 coins in all totaling to Rs.10.25, 

then the number of 20-paise coins is

Hemavathi gets 3 marks for each right sum and loses 2 marks 

for each wrong sum. He attempts 35 sums and obtains 60 marks. 

The number of sums attempted correctly is ?

18 5 17 = x

64 8 11 = y

What will be the value of x + y?



Rules:



(i) If an odd number is followed by another odd number, 

they are to be multiplied.



(ii) If an even number is followed by another even number, 

the first number is to be divided by the second even number.



(iii) If an even number is followed by the perfect square of an odd number, 

the first number is to be subtracted from the second number.



(iv) If an odd number is followed by an even number the two are to be 

added.



(v) If an even number is followed by an odd number which is not a perfect square, 

the square of the odd number is to be added to the even number.

9 15 50 = x

12 25 24 = y

What will be the value of x/y?



Rules:



(i) If an odd number is followed by another odd number, 

they are to be multiplied.



(ii) If an even number is followed by another even number, 

the first number is to be divided by the second even number.



(iii) If an even number is followed by the perfect square of an odd number, 

the first number is to be subtracted from the second number.



(iv) If an odd number is followed by an even number the two are to be added.



(v) If an even number is followed by an odd number which is not a perfect square, 

the square of the odd number is to be added to the even number.

Two boys are playing on a ground. Both the boys are less 

than 10 years old. Age of the younger boy is equal to the 

cube root of the product of the age of the two boys. 

If we place the digit representing the age of the younger 

boy to the left of the digit representing the age of the elder boy, 

we get the age of the father of the younger boy. Similarly, 

we place the digit representing the age of the elder boy to the 

left of the digit representing the age of the younger boy and divide 

the figure by 2, we get the age of the mother of the younger boy. 

The mother of the younger boy is younger than his father by 3 years. 

Then, what are the ages of elder and younger boys?