Mathematics & Numerical Ability – Previous Year Questions
166 questions from past HTET Common Portion papers, each with the correct answer. Open any question for its explanation.
- (a1/2 + a−1/2) / (1 − a) + (1 − a−1/2) / (1 + √a) is equal to :
- If 10 persons can complete (2/5)th of a work in 8 days, then how many persons are required to complete the remaining work in 12 days ?
- The base of a right prism is a triangle whose perimeter is 32 cm and the inradius of the triangle is 6 cm. If the volume of the prism is 576 cc, then its height is :
- If the number of diagonals of a regular polygon is 27, then the number of sides is :
- In two alloys A and B, the ratio of copper and zinc is 5 : 2 and 3 : 4 respectively. 7 kg of alloy A and 21 kg of the alloy B are mixed together to form a new alloy. What will be the ratio of copper and zinc in the new…
- If 7 cosec θ – 3 cot θ = 7 where θ is in first quadrant, then the value of 7 cot θ – 3 cosec θ is equal to :
- If an equilateral triangle ABC be inscribed in a circle, then the tangents at their vertices will form another triangle is :
- A shopkeeper sells an article at 15% gain. Had he sold it for Rs. 18 more; he would have gained 18%. The cost price (in Rs.) of the article is :
- The difference between two positive numbers is 3. If the sum of their squares is 369, then sum of the numbers is :
- In a division sum, the divisor is 12 times the quotient and 5 times the remainder. If the remainder is 36, then the dividend is :
- A person covers 12 km at 3 km/hr, 18 km at 9 km/hr and 24 km at 4 km/hr. The average speed in covering the whole distance is :
- The sum of all interior angles of a regular polygon of 10 sides is :
- A man travelled a distance of 80 km in 7 hours, partly on foot at the rate of 8 km/hour and partly on bicycle at 16 km/hour, then the distance travelled on foot is :
- The ratio of the side and height of an equilateral triangle is :
- The quadrilateral formed by angle bisectors of a cyclic quadrilateral is :
- If tanα + sinα = m and tanα – sinα = n, then (m² – n²) equal to :
- The average of two numbers A and B is 20, B and C is 19 and C and A is 21. Then the value of A is :
- If the cost price of 15 books is equal to the selling price of 20 books, then the loss percent is :
- If √(0.05 × 0.5 × a) = 0.5 × 0.5 × √b, then a/b is equal to :
- If x% of y is 100 and y% of z is 200, then a relation between x and z is :
- In how many years will a sum become 27 times when it triples itself in 7 years at compound interest (when rates are same) ?
- A teacher tells her students to draw a few quadrilaterals using a ruler and pencil on a sheet of paper. She tells them to find the sum of their angles by measuring each angle with a protractor and note it down. The stud…
- A triangle with three equal sides has its area equal to 4√3 square cm. What will be the perimeter of this triangle ?
- If x = (3/4) ÷ (5/6), y = 3 ÷ [(4 ÷ 5) ÷ 6], z = [3 ÷ (4 ÷ 5)] ÷ 6 and w = 3 ÷ 4 (5 ÷ 6), then :
- Find the value of m – n, if [9ⁿ × 3² × {(3)^(−n/2)}^(−2) − (27)ⁿ] / (3^(3m) × 2³) = 1/27 :
- While teaching mathematics, a teacher arrives at a statement : "A implies B". This means :
- If 35 is subtracted from a number, it reduces to its 80%. What is (4/5)th of that number ?
- If a student finds difficulty in applying geometrical theorems to solve a given problem in geometry, then which is the most appropriate strategy that the teacher should adopt ?
- What is the least number of square tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad ?
- ABCD is a rhombus in which ∠BAC = 50°, then 3∠D – 2∠DAC is equal to :