Let the two digits be x & y From given data in the question, we get x + y = 3(x - y) x + y = 3x - 3y => 2x = 4y x/y = 2/1 For having the 2:1, numbers satisfying are 12, 21, 24, 42, 36, 63, 48, 84 From this 36 is eleminated because it is a perfect square and no others are prime or perfect squares. Hence, there exists 7 such 2-digit numbers => 12, 21, 24, 42, 63, 48, 84.

Answer: B) 13 1/5 days Explanation: 3/15 + 4/16 + x/24 = 1 ⇒x=1315

Answer: B) FALSE Explanation: Steel is not a compound or element. Steel is an alloy of iron and carbon and other elements and hence it is a mixture. Because of its high tensile strength and low cost, it is a major component used in buildings, infrastructure, tools, ships, automobiles, machines, appliances, and weapons.

Answer: B) Lohit River Explanation: The Prime Minister Narendra Modi has inaugurated India’s longest bridge “Dhola-Sadia Bridge” in Assam on May 26, 2017. This three lane, 9.15 kilometre bridge has been built over river Lohit, a tributary of the Brahmaputra river. It links Dhola in Assam to Sadia. The bridge will reduce the distance from Rupai on NH- 37 in Assam to Meka-Roing on NH-52 in Arunachal Pradesh by 165 KM. The travel time between the two places will come down from the current six hours to just one hour, a total five hour reduction. This will result in saving of petrol and diesel worth Rs 10 Lakh per day. It will also cater to the strategic requirements of the country in the border areas of Arunachal Pradesh, besides facilitating numerous hydro power projects coming up in the state.

Answer: D) a > b Explanation: From solving 1 and 2 we get,   1. 5a(a-3)-3(a-3) = 0   (5a-3)(a-3) = 0   a = 3 or 3/5   2.    3b(b+2)-1(b+2) = 0   b = -2 or b = 1/3   Here when a = 3, a > b for b = -2 and b = 1/3   when a = 3/5. a > b for b = -2 and b = 1/3.   Hence, it is clear that a > b.

Answer: A) 8 months Explanation: Suppose B joined for x months. Given profit is divided in the ratio 3:1. Then, 85000×1242500×x=31  --> x = 8 months.

Answer: A) 3.571 Explanation: Here we have 25 divided by 7. 25 will not go directly in 7 Hence, we get the result in decimals. 25/7 = 3.571.

Answer: C) 1990 Explanation: Internet service providers (ISP's) emerged in the late 1980's and early 1990's. The ARPANET was decommissioned in 1990. By 1995, the Internet was fully commercialized in the U.S., when the NSFNet was decommissioned, removing the last restrictions on use of the Internet to carry commercial traffic.