গাণিতিক যুক্তি

১. যদি $1+\mathrm {tan^2θ}=4$ এবং $θ<90^{\circ}$ হয়, $θ=?$

২. $\mathrm {secA+tanA={5\over 2}}$ হলে $\mathrm {secA-tanA=}?$

৩. $\mathrm{cos({n\pi \over2})}$ অনুক্রমটির চতুর্থ পদ কোনটি?

৪. Successive discount of 20% and 15% are equal to a single discount of -

৫. City B is 5 miles east of city A. City C is 10 miles southeast of city B. Which of the following is the closest to the distance from city A to City C?

৬. Two men, starting at the same point, walk in opposite directions for 4 meters, turn left and walk another 3 meters. What is the distance between them?

৭. 0° ≤ 0 ≤ 90° এর জন্য sine এর সর্বোচ্চ মান কত?

৮. cos 𝜃 = 1 2 হলে tan 𝜃 এর মান কত?

৯. The first angle is one fourth of the second angle. The third angle equals thesum of the first and second angles. Find the third angle.

১০. The product of two consecutive even number's is 168. find their sum.

১১. A coin is tossed and a die is rolled simultaneoutly . What is the probability of getting a Head and an even number?

১২. A gear rotates at 240 rpm. How many complete revolutions does it make in 45 seconds?

১৩. sinθ + cosθ = √ 2 হলে θ = ?

১৪. If 100 million distinct passcodes comprising of 4 letters can be made from a set of alpbabets, how many letters, are there in the alphabet?

১৫. On Sunday, Mr. Azom drove to his office from home at speed of 40 km/hr and reached has office 10 minutes late. The next day he increased his speed by 5km/hr Still he was 5 minutes late. The distance from his home to office is