UP TGT 2024 Mini Mock (Math): 16

What is the value of x² + 4y² + z² – 4xy + 4yz – 2xz?

A dealer sold an article at a loss of 4%. Had he sold it for Rs. 120 more, he would have gained 8%. To gain 11%, he should sell the article for?

The average of the three-digit numbers that have all three digits the same is:

The average of seven consecutive even natural numbers is 36. The value of the first number is:

₹4,300 becomes ₹4,644 in 2 years at simple interest. Find the principle amount that will become ₹10,104 in 5 years at the same rate of interest?

Let A, B, C be the mid-points of sides PQ, QR PR, respectively, of ΔPQR. If the area of ΔPQR is 32 cm², then find the area of ΔABC.

In the given figure, chords, AB and CD intersect each other at point L. Find CL.

The circumference of a circular field is 440m. The radius of the circular field is increased by 40%. The increase in the area of the circular field is ():

What is the median of the following distribution?

67, 31, 53, 22, 66, 98, 43, 54, 77, 13, 43, 97, 36, 12, 90, 53

The numerator of a fraction is 6 less than its denominator. If the numerator is decreased by 1 and the denominator is increased by 5, then the denominator becomes 4 times the numerator. Find the fraction.

The digit in the unit’s place of [(251)⁹⁸ + (21)²⁹ - (106)¹⁰⁰ + (705)³⁵ - 16⁴ + 259] is:

Find the value of expression x⁴ – 17x³ + 17x² – 17x + 17, at x = 16

If tan A = , what is the value of (50 cos A + 24 cot A)?

Find the greatest number that will divide 47, 95 and 187 so as to leave the same remainder in each case.