Maths PYQ — Page 10

Which one of the following will have minimum change in its value if 5 is added to both numerator and the denominator of the fractions \(\frac{2}{3},\frac{3}{4},\frac{4}{5}\)and \(\frac{5}{6}\)?

In a class, there are three groups, A, B and C. If one student from group A and two students from group B are shifted to group C, then what happens to the average weight for the students of the class?

The recurring decimal representation 1.272727… is equivalent to

A vessel full of water weighs 40 kg. If it is one-third filled, its weight becomes 20kg. What is the weight of the empty vessel?

How many different sums can be formed with the denominations ₹50, ₹100, ₹200, ₹500 and ₹2000 taking at least three denominations at a time?

Consider the following statements: 1. The minimum number of points of intersection of a square and a circle is 2. 2. The maximum number of points of intersection of a square and a circle is 8. Which of the above statements is/are correct?

What is the greatest length x such that \(3\frac{1}{2}\)m and \(8\frac{3}{4}\)m are integral multiple of x?

Consider the following data: Year | Birth rate | Death rate 1911–1921 | 48.1 | 35.5 1921–1931 | 46.4 | 36.3 1931–1941 | 45.2 | 31.2 1941–1951 | 39.9 | 27.4 1951–1961 | 41.7 | 22.8 1961–1971 | 41.1 | 18.9 1971–1981 | 37.1 | 14.8 For which period was the natural growth rate maximum?

A car travels from a place X to place Y at an average speed of v km/hr, from Y to X at an average speed of 2v km/hr, again from X to Y at an average speed of 3v km/hr and again from Y to X at an average speed of 4v km/hr. Then the average speed of the car for the entire journey

What is the least four-digit number when divided by 3, 4, 5 and 6 leaves a remainder 2 in each case?

A digit n > 3 is divisible by 3 but not divisible by 6. Which one of the following is divisible by 4?

An 8-digit number 4252746B leaves remainder 0 when divided by 3. How many values of B are possible?

Each face of a cube can be painted in black or white colours, In how many different ways can the cube the painted?

Suppose you have sufficient amount of rupee currency in three denominations: ₹1, ₹10 and ₹50. In how many different ways can you pay a bill of ₹107?

Ena was born 4 years after her parents, marriage. Her mother is three years younger than her father and 24 years older than Ena, who is 13 years old. At what age did Ena's father get married?

Seeta and Geeta go for a swim after a gap of every 2 days and every 3 days respectively. If on 1st January both went for a swim together, when will they go together next?

Sunita cuts a sheet of paper into three pieces. Length of first piece is equal to the average of the three single digit odd prime numbers. Length of the second piece is equal to that of the first plus one-third the length of the third. The third piece is as long as the other two pieces together. The length of the original sheet of paper is

Rakesh had money to buy 8 mobile handsets of a specific company. But the retailer offered very good discount on that particular handset. Rakesh could buy 10 mobile handsets with the amount he had. What was the discount the retailer offered?

Raju has 9000 with him and he wants to buy a mobile handset; but he finds that he has only 75% of the amount required to buy the handset. Therefore, he borrows 2000 from a friend. Then

How many triples (x, y, z) satisfy the equation x + y + z = 6, where x, y and z are natural numbers?

A printer numbers the pages of a book starting with 1 and uses 3089 digits in all. How many pages does the book have?

A family has two children along with their parents. The average of the weights of the children and their mother is 50 kg. The average of the weights of the children and their father is 52kg. If the weight of the father is 60 kg, then what is the weight of the mother?

Rakesh and Rajesh together bought 10 balls and 10 rackets. Rakesh spent `1300 and Rajesh spent `1500. If each racket costs three times a ball does, then what is the price of a racket?

In a school every student is assigned a unique identification number. A student is a football player if and only if the identification number is divisible by 4, whereas a student is a cricketer if and only if the identification number is divisible by 6. If every number from 1 to 100 is assigned to a student, then how many of them play cricket as well as football?