Answer: A) 0.625 Explanation: 5/8 is Nothing but to divide 5 into 8 parts.     As 5 is smaller than 8, the quotient starts with a decimal point to make 5 as 50 to be divisible by 8. (0.)     Now 50 goes for 6 times in 8 leaving a remainder 2. (0.6)      Again 2 is smaller than 8, As it already has decimal point in the quotient, now 2 becomes 20.      Now 20 goes for 2 times in 8 leaving a remainder 4. (0.62)      Again 4 is smaller than 8, As it already has decimal point in the quotient, now 4 becomes 40.     Now 40 goes for 5 times in 8 leaving a remainder 0. (0.625)     Therefore, the decimal value of 58 is 0.625.   Now find a decimal value of 1117 and Discuss your at Discuss.

Answer: B) 1/6 Explanation: Total work is given by L.C.M of 72, 48, 36 Total work = 144 units Efficieny of A = 144/72 = 2 units/day Efficieny of B = 144/48 = 3 units/day Efficieny of C = 144/36 = 4 units/day   According to the given data, 2 x p/2 + 3 x p/2 + 2 x (p+6)/3 + 3 x (p+6)/3 + 4 x (p+6)/3 = 144 x (100 - 125/3) x 1/100 3p + 4.5p + 2p + 3p + 4p = 84 x 3 - 54 p = 198/16.5 p = 12 days.   Now, efficency of D = (144 x 125/3 x 1/100)/10 = 6 unit/day (C+D) in p days = (4 + 6) x 12 = 120 unit Remained part of work = (144-120)/144 = 1/6.

Answer: B) K x K= JL Explanation: Let the Time be 'N' and Rate be 'R'  J = (K x NR)/100 K = (L x NR)/100  J/K = NR/100 K/L = NR/100  J/K = K/L  K x K = JL

Answer: B) 26.6 days Explanation: Arun has completed 13rd of the work in 8 days Then he can complete the total work in 13 ---- 8  1 ---- ? = 24 days But given Akhil is only 60% as efficient as Arun Akhil =124×60100=140 Akhil can complete the total work in 40 days Now, remaining 2/3rd of work can be completed in  1  ------   40 23 ------   ?   = 26.66 days.

Answer: D) 39 Explanation: Let the two-digit number be 10a + ba + b = 12 --- (1)If a>b, a - b = 6If b>a, b - a = 6If a - b = 6, adding it to equation (1), we get2a = 18 => a =9so b = 12 - a = 3Number would be 93.if b - a = 6, adding it to the equation (1), we get2b = 18 => b = 9a = 12 - b = 3.Number would be 39.There fore, Number would be 39 or 93.

Answer: C) 60 kmph Explanation: Average speed = Total distance / Total time. Total distance traveled by Joel = Distance covered in the first 3 hours + Distance covered in the next 5 hours. Distance covered in the first 3 hours = 3 x 60 = 180 milesDistance covered in the next 5 hours = 5 x 24 = 120 miles Therefore, total distance traveled = 180 + 120 = 300 miles. Total time taken = 3 + 5 = 8 hours. Average speed = 300/8 = 37.5 mph. we know that 1 mile = 1.6 kms => 37.5 miles = 37.5 x 1.6 = 60 kms Average speed in Kmph = 60 kmph.

Answer: A) 91 Explanation: Prime Numbers :: Numbers which are divisible by only 1 and itself are Prime Numbers.   It's answer will be 91. Because 91 can be divisible by 7,13,91,1. It is quite clear that prime number should be divisible only by itself and by 1.

Answer: D) 38.57 cm Explanation: We know that perimeter of rectangle = 2(l+b) = 2(8+7)= 30cmGiven perimeter of square is twice the perimeter of rectangle = 2(30) = 60cmTherefore, side of the square is = 1/4 x 60 = 15cmCircumference of the required semicircle = πr + 2r = 227× 152 + 2×152 = 23.57 + 15 = 38.57cm.