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.
- The factors of 6 − x − 2x² are :
- If √(1 + √(1 − 2176/2401)) = 1 + x/7, then the value of x is :
- If 27x − 2/3 = 81, then value of 23x+1 is :
- If 30% of a number is equal to 1/6 of the second number and the sum of these numbers is 140, then the value of larger number is :
- If two sides of a triangle are unequal, then opposite angle of larger side is :
- How many words can be formed from the all letters of word "ASSESSMENT" ?
- Ratio of volumes of two cones is 1 : 4 and their diameters are in the ratio 4 : 5 respectively, then ratio in their heights is :
- If √(7 + ∛x) = 4, then value of x is :
- If numerator of a fraction is increased by 450% and the denominator is increased by 400%. Now the new fraction is 15/16. The original fraction is :
- A bag contains coins of Rs. 1, 50 paisa and 25 paisa in the ratio 7 : 8 : 12 respectively. If the total amount in the bag is Rs. 560, then the number of 25 paisa coins in the bag is :
- Which of the following statement is correct about types of tests ?
- A bag contains 4 blue, 3 black and 5 yellow balls. At random two balls are drawn from the bag. The probability that both drawn balls are of same colour is :
- The time taken by the minute hand of a watch to describe an angle of 3π/2 radian, is :
- A student will use his/her Mathematical operations' knowledge to calculate the total amount to be paid to a vegetable seller. Which of the following teaching objective is used in this situation ?
- Which of the following does not depict the knowledge of mathematics ?
- Factors of the following expression will be : (x² − 6xy + 9y²) − 16
- The ratio of present age of Ramesh and his daughter is 8 : 5, after 8 years ratio of their ages will be 3 : 2, then the present age of the daughter is :
- If selling price of 10 articles is equal to cost price of 6 articles, then net profit or loss is :
- Ravi moving with constant speed of 20 km/h from his home, reaches school on time. If he moves with 30 km/h, then reaches 18 minutes before school time. Distance of school from his home is :
- Value of (986³ − 742³)/(986 × 986 + 986 × 742 + 742 × 742) is :
- A can complete a particular task in 20 days whereas B can complete that task in 10 days. Both worked together for 4 days and then B leaves the task, then how many days will A take to complete the remaining task ?
- If a * b = a² + b² − ab, then value of 8 * 7 − 3 * 5 is :
- Number of diameters in a circle can be :
- Which of the following is not a rational number ?
- Find the population of a city after 2 years which is at present 12 lakhs, if the rate of increase is 4% :
- A wire is tied to the top of a pole whose height is 15 meter and the wire makes an angle of 60° with the ground. The length of the wire is :
- If for a certain amount and same interest rate the simple interest is Rs. 600 and compound interest is Rs. 612 of two years, then annual rate of interest is :
- Sum of the interior angles of a regular heptagon is :
- If x³ + kx + 12 is completely divisible by (x + 3), then value of k is :
- Which was the day on 8 June, 2007 ?