In △ABC, M and N are the points on side BC such that AM ⊥ BC, AN is the bisector of ∠A, and M lies between B and N. If ∠B = 68°, and ∠C=26°, then the measure of ∠MAN is:

After an increase in tea price by 40% a family reduce its consumption of tea to the extent that there should be an increase on tea expense only by 10%. If the earlier consumption of tea was 28 kg, then what will be their new consumption?

If $$ {Acos^{2}θ+Bsin^{2}θ}={sin^{2}θ(sec^{2}θ+1)\over{sec^{2}θ-1}}$$ and cotθ=?

A men sells his cycle at 6% profit. Had he sold it at 15% profit, he would have received 180 Rs. More. What is the cost price of the cycle?

An office opens at 10 am and closes at 5 pm. The lunch break is of 30 minutes. What is the ratio of lunch break and total office hours?

A man sold a watch at a loss of 5%. If he would have sold it for Rs. 27 more, he would have gained 7%. The cost price of the watch is -

Direction: Study the pie chart carefully and answer the given questions. The pie chart shows the percentage breakup of students in different classes from VI to X in the year 2017

What is the difference between the total number of students in class VII and class VIII together to that of the total number of students in class IX and class X together?

Find the HCF of 60, 148 and 382.