If sec x + cos x = 2, then the value of sec16 x + cos16 x will be-

Nathu and Buchku each have certain number of oranges. Nathu says to Buckhu, " If you give me 10 of your oranges, I will have twice the number of oranges left with you “. Buckhu replies, " If you give me 10 of your oranges, I will have the same number of oranges as left with you." What is the number of oranges with Nathu and Buckhu , respectively ?

How many even three-digit numbers can be formed from the digits 1 , 2 , 5 , 6 and 9 without repeating any of the digits? 

Directions :- Read the given information carefully and answer the following questions.

There are four hostels i.e. A, B, C and D.

In hostel A: Number of boys are 120 and number of girls are 30% more than that of number of girls in

hostel B.

In hostel B: Number of boys are double than that of number of girls.

In hostel C: Number of boys are 100 more than that of boys in hostel A and total boys and girls in C is 1000.

In hostel D: Number of boys is 182 more than the number of boys in hostel A. Average of number of girls of hostel A and that of hostel D is 223.Number of boys in hostel D is 98 less that of boys in hostel B.

Find difference between total number of boys and girls together in hostel A and that in hostel D?

If $$ {x=2-2^{1\over 3}+2 ^{2\over 3}}$$, then the value of $$ {x^{3}-6x^{2}+18x+18}$$.

A boat goes 30 km upstream and 44 km downstream in 10 hours. In 13 hours, it can go 40 km upstream and 55 km downstream. The speed of the boat in still water is. 

An alloy contains copper and tin in the ratio 3: 2. If 250 gm of copper is added to this alloy then copper in it becomes double the quantity of tin in it. What is the amount (in gm) of tin in the alloy? 

Due to a 25% increase in the price of rice per kg. a person is able to purchase 20 kg. less for Rs.400. What is the increased price of rice per kg.?