Q: Three solid cubes of sides 1 cm, 6 cm and 8 cm are melted to form a new cube. Find the surface area of the cube so formed
Solution: Volume of new cube = 13+63+83cm3= 729cm3 Edge of new cube = 7293 = 9cm Surface area of the new cube = ( 6 x 9 x 9) sq.cm = 486 sq.cm The correct answer is: A) 486
Q: If a + b + c = 13, a2+b2+c2=69 then find the ab + bc + ca :
Solution: a+b+c2=a2+b2+c2+2ab+bc+ca 2ab+bc+ca=a+b+c2-a2+b2+c2=169-69=100=ab+bc+ca=50 The correct answer is: C) 50
Q: A dog takes 3 leaps for every 5 leaps of a hare. If one leap of the dog is equal to 3 leaps of the hare, the ratio of the speed of the dog to that of the hare is :
Solution: Dog : Hare = (3*3) leaps of hare : 5 leaps of hare = 9 : 5. The correct answer is: A) 9:5
Q: If 36 men can do a piece of work in 25 hours, in how mwny hours will15 men do it?
Solution: Let the required no of hours be x. Then Less men , More hours (Indirct Proportion) Therefore, 15:36 ::25:x => (15 x X)=(36 x 25) => x = 60 Hence, 15 men can do it in 60 hours. The correct answer is: C) 60
Q: A, B, C hired a car for Rs. 520 and used it for 7, 8 and 11 hours respectively. Hire charges paid by B were :
Solution: A : B : C = 7 : 8 : 11. Hire charges paid by B = Rs. (520 * 8/26) = Rs. 160. The correct answer is: B) 160
Q: The ratio of the area of a square to that of the square drawn on its diagonal is
Solution: ratio = a22a2 The correct answer is: A) 1:2
Q: Simplify the following equation. 1943 + 12 + 13 + 11 + 14
Solution: After solving we get, 62/931. None of the options satisfy. The correct answer is: D) None of these
Q: In a City, 35% of the population is composed of migrants, 20% of whom are from rural areas. Of the local population, 48% is female while this figure for rural and urban migrants is 30% and 40% respectively. If the total population of the city is 728400, what is its female population ?
Solution: Total Population = 728400 Migrants = 35 % of 728400 = 254940 local population = (728400 - 254940) = 473460. Rural migrants = 20% of 254940 = 50988 Urban migrants = (254940 - 50988) = 203952 Female population = 48% of 473460 + 30% of 50988 + 40% of 203952 = 324138 The correct answer is: A) 324138
Q: From a pack of 52 cards, 3 cards are drawn. What is the probability that one is ace, one is queen and one is jack?
Solution: Required probability: 4C1*4C1*4C152C3=4*4*422100=165525 The correct answer is: B) 16/5525
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