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.
- If one equilateral triangle ABC is made in a circle of radius 10 cm, then the length of a side of triangle ABC is :
- A teacher cuts a circular paper into thin sectors and aligns them to form rectangle. This is an activity to illustrate a way to derive ......... .
- Which of the following may not be a purpose of Mathematics Lab ?
- If a − 1/a = √21, where a > 0, then (a² + 1/a²)(a + 1/a) is equal to :
- While teaching in a mathematics class, a teacher gives the statement "Common Divisor of two integers is a number which divides both the given integers". The statement is a :
- The mean of the range, mode and median of the observations 15, 50, 120, 6, 80, 100, 10, 8, 10, 15, 15 is :
- The definition "Mathematics is a way to settle in the mind, a habit of reasoning" is given by :
- If 4m² + 10mn – 8m + 9n² – 12n = (am + bn)(am + bn – 4), then the value of a³ + b³ is :
- Which of the following is not true about a mathematical theorem ?
- Which among the following is the best pedagogical way to teach mathematics ?
- The perimeter of the base of a right circular cylinder is 44 cm and its height is 8 cm. Then, volume of the cylinder is : (Take π = 22/7)
- Let y = 597 × 10²² + 73.5 × 10²¹. When y is expressed in standard form as 6.0435 × 10ⁿ, then the value of n is :
- If (x – a) is the HCF of x² + x – 12 and 2x² – ax – 9, then the value of 'a' is :
- Area of triangle of sides 24 cm, 25 cm and 7 cm is equal to the area of a rectangle of length 14 cm, then perimeter of the rectangle is :
- Which of the following is most appropriate for an axiom ?
- The income of A and B are in the ratio of 3 : 2 and their expenditure in the ratio of 5 : 3. If each saves Rs. 2500, then the expenditure of B is :
- Cost price of 20 articles is equal to selling price of x articles. If the profit is 25%, then the value of x is :
- If all the angles of a quadrilateral are less than 180°, then the quadrilateral is a :
- The HCF and LCM of two numbers a and b are respectively 6 and 210. If a + b = 72, then 1/a + 1/b =
- If 2ˣ = 5ʸ = (10)⁻ᶻ, then 1/x + 1/y + 1/z =
- The mean of the factors of 10 is :
- √(6 + √(6 + √(6 + .....∞))) is equal to :
- What will be the difference between compound and simple interest on a sum of Rs. 4,000 for 2 years at the rate of 5% per annum ?
- If the selling price of 12 articles is equal to the cost price of 15 articles, then the profit percentage is :
- If (30% of 80)/x = 24, then what would be the value of 'x' ?
- Simplify : 2 ÷ [2 + 2 ÷ { 2 + 2 ÷ (2 + 2 ÷ 3)}] is equal to :
- The population of a town increases at the rate of 5% annually. If the present population is 4410, what was it 2 years ago ?
- In order to fence a square fixed 36 poles were used. If the distance between two consecutive poles is 6 meters, then the area of the square is :
- If √(2n) = 64, then the value of n is :
- If M is a square number, then the next immediate square number is :