List of top Mathematics Questions asked in GAT-B

Number of natural numbers that can be formed using digits 1, 2, 3, 4, 5, 6, 7 each exactly once so that digits 3, 4 and 5 are always in the middle is equal to:
In an election contested by two candidates, one candidate got 30% of total votes and lost by 500 votes. The total number of votes polled is:
The sum of four consecutive even numbers is 107 more than the sum of three consecutive odd numbers. If the sum of the smallest odd number and the smallest even number is 55, then what is the smallest even number?
The salary of a worker is first increased by 5% and then it is decreased by 5%. What is the change in his salary?
If the average diameter of air bubbles in a bioreactor is 2 mm and the gas hold up is 10%, then the surface area of gas bubbles per liter of reactor is:
The equation \( x^2 + ax + 1 = 0 \) has no real roots. Which one of the following is correct?
The cross product of vector \( \vec{A} \) and vector \( \vec{B} \) has a magnitude of 50 units, where vector \( \vec{A} \) has a magnitude of 10. The angle between vector \( \vec{A} \) and \( \vec{B} \) is 60 degrees. What is the magnitude of vector \( \mathbf{B} \)?
A fraction becomes $\frac{9}{11}$ if 2 is added to both the numerator & the denominator. If 3 is added to both the numerator and denominator, the fraction becomes $\frac{5}{6}$. Find the fraction.
Which of the following represents the equation of a straight line passing through origin?
Two fair cubical dice with faces numbered from 1 to 6 are rolled. What is the probability that the sum of the numbers on the two faces that appear on the top is 8, given that each of the two faces that appear on the top shows an odd number?
A 10 m long ladder reaches a window 8 m above the ground. Find the distance of the ladder from the base of the wall.
A basket contains 4 red, 5 blue and 3 green marbles. If 3 marbles are picked at random, what is the probability that either all are green or all are red?
Triangle ABC is a right angled triangle, right angled at B. If lengths of AB and BC are 60 cm and 80 cm respectively, and BD is an altitude of triangle ABC, then find the length of AD in cm.
Ramesh has four friends. In how many ways can he invite one or more of them for dinner?
The perimeter of the top of a rectangular table is 28 m, whereas its area is 48 m$^2$. What is the length of its diagonal?
Find the least number which when divided by 16, 18, 20 and 25 leaves 4 as remainder in each case but when divided by 7 leaves no remainder.
The probability of mutation in a base-pair per round of replication is $5 \times 10^{-10}$ and the genome length of bacteria is 5 Mb. The number of bacterial cells required so that there is one mutation on an average per replication cycle is:
In a random mating population, the frequency of allele A1 and A2 in the gene pool is 0.8 and 0.2, respectively. In a population of 200 plants, how many will have the genotype A1A2?
Find the modal age from the given data:
Two trains running in opposite directions pass by a man standing on the platform in 20 seconds and 10 seconds respectively and they completely cross each other in 15 seconds. The ratio of their speeds is:
When 4 fair coins are tossed together what is the probability of getting at least 3 heads?
Find the area of the triangle with vertices A(5,4), B(-2,4) and C(2,14).
In a class of 60 students comprising girls and boys, 30% are boys. On a given day 10% of the class is absent and all the absentees are boys. What is the percentage of girls in this class on that given day?
What is the sum of the first 10 terms of the sequence 1, 2, 4, 8, 16, ...?
The average of the first five multiples of 9 is: