List of practice Questions

If the difference between 58% and 76% of a number is 198, then the difference between 82% and 46% of the same number will be:
A and B, working together, can do a work in 8 days. If A alone can do the work in 12 days, then in how many days can B alone do 25 percent of the work?
The sum of all possible values of \( K \) such that a 5-digit number 90K68 is divisible by 8 will be:
In a clearance sale, goods were sold at a reduction of 20%. Sarika purchased a saree for ₹984 in the clearance sale. The usual price of the saree was:
Two trains having lengths 680 m and 570 m are running towards each other on parallel tracks with speeds of 80 km/h and 70 km/h, respectively. In how many seconds will they be able to cross each other?
What is the HCF of \( \frac{8}{5}, \frac{6}{8}, \frac{4}{25} \)?
If the mean of the observations 6, 16, \( (K + 26) \), \( (2K - 3) \), and 10 is 14, then the value of \( \frac{K^2 + 1}{2} \) is:
If the length of the diagonal and the area of a rectangle are 25 m and 168 m\(^2\), respectively, then the longer side of the rectangle is:
The area of a rectangle having sides in the ratio 1 : 4 is equal to the area of a square of side 8 cm. The perimeter of the rectangle (in cm) is:
If \( (1,1), (-2,2), (2,-2) \) are 3 points on a circle \( S \), then the perpendicular distance from the center of the circle \( S \) to the line \( 3x - 4y + 1 = 0 \) is:
The number of positive integers that have at most seven digits and contain only the digits 0 and 9 is
If the length of a chord of a circle is equal to that of radius of the circle, then the angle subtended in radius, at the centre of the circle by the chord is
If \(P\left( \frac{\pi}{4} \right)\), \(Q\left( \frac{\pi}{3} \right)\) are two points on the circle \(x^2 + y^2 - 2x - 2y - 1 = 0\), then the slope of the tangent to this circle which is parallel to the chord \(PQ\) is:
The combined equation of a possible pair of adjacent sides of a square with area 16 square units whose centre is the point of intersection of the lines \[ x + 2y - 3 = 0 \quad \text{and} \quad 2x - y - 1 = 0 \] is: \
If half of the space between the plates of a parallel plate capacitor is filled with a medium of dielectric constant 4, the capacitance is \( C_1 \). If one-third of the space between the plates of the capacitor is filled with the medium of dielectric constant 4, the capacitance is \( C_2 \). If in both cases, the dielectric is placed parallel to the plates of the capacitor, then \( C_1 : C_2 \) is:
When n-hexane is heated to 773K at 10-20 atmosphere pressure in the presence of \(Cr_2O_3\), benzene is formed. This reaction is called
A freely suspended needle of a magnetic compass comes to rest along the geographic
The ratio of the velocities of the electron in the second, third and fourth Bohr’s orbits of the hydrogen atom is:
Which of the following is not a measuring function of a multimeter?
The quantum number which determines the shape of the subshell is:
A paramagnetic substance in the form of a cube of side 3 cm has a magnetic moment of \(243 \times 10^{-6}\) Am\(^2\), when a magnetic field of intensity \(150 \times 10^{3}\) Am\(^{-1}\) is applied. The susceptibility of the substance is:
The work done during reversible isothermal expansion of one mole of hydrogen gas at 25oC from a pressure of 20 atm to 10 atm is:
(Given R = 2.0 cal K-1 mol-1)
The regions with high level of species richness, high degree of endemism and a loss of 70% of the species and habitat are identified as:
Which of the following simple tissues are commonly found in the fruit walls of nuts and pulp of pear?
Which of the following are required for the light reaction of Photosynthesis?
A. \(CO_2\)
B. \(O_2\)
C.\( H_2O\)
D. Chlorophyll 
E. Light
Choose the correct answer from the options given below