Answer: C) 13 Explanation: Given,  5sinx + 12cosx ≥ -r  ⇒13513sin x + 1213cos x ≥ -rcosx) ≥ -r  513= cosA => sinA =1213   => 13(sinx cosA + sinA cosx) ≥ -r   => 13(sin(x + A)) ≥ -r   we know that , -1 ≤ sin (angle) ≤ 1   => 13sin (x + A) ≥ -13 ⇒rmin =13

Answer: D) California Explanation: The US state California's  economy has surpassed that of the UK to become the world’s fifth largest, according to new federal data released.   With a GDP of $2.7 trillion, California is now only behind the US, China, Japan and Germany.

Answer: C) 6 days Explanation: From the given data, 12 children 16 days work,One child’s one day work = 1/192. 8 adults 12 days work,One adult’s one day’s work = 1/96. Work done in 3 days = ((1/96) x 16 x 3) = 1/2 Remaining work = 1 – 1/2 = 1/2 (6 adults+ 4 children)’s 1 day’s work = 6/96 + 4/192 = 1/12 1/12 work is done by them in 1 day. 1/2 work is done by them in 12 x (1/2) = 6 days.

Answer: D) Dry Land Farming Explanation:

Answer: A) Deducted from the balance sheet Explanation: If an outstanding check of the previous month clears the bank (is paid by the bank) in the current month, you simply remove that check from the list of outstanding checks. If an outstanding check of the previous month does not clear the bank in the current month, the check will remain on the list of outstanding checks until the month that it does clear the bank. In the bank reconciliation process, the total amount of the outstanding checks is deducted from the balance appearing on the bank statement.

Answer: A) 7:1 Explanation: Maneela lent Rs. 8000 in two parts,

Answer: C) Lima Explanation: Lima is the Capital of Peru and its Currency is Sol.

Answer: A) its supply or demand is not sensitive to price changes. Explanation: A good that is inelastic does not have very stretchy demand. In economic terms, the quantity demanded does not change a lot when the price changes. What do I mean by "does not change a lot"? If the percent change in quantity demanded is less than the percent change in price, economists label the demand for the good as inelastic.   So, if the price of a good increases by 10 percent and the quantity demanded decreases by only 5 percent, that good is said to have inelastic demand. The quantity demanded does not stretch much relative to the change in price.   Hence, in this case, consumers are not considered very sensitive, or responsive, to a change in the price of that good.