Find the least square number which is divisible by 10, 12, 15 and 18? A. 1600B. 900C. 3600D. 2500 Answer B. 900 Solution L.C.M of 10, 12,15, 18Answer will be 180.Factors of 180 are: 2*2*3*3*5or 2² * 3³ *5To make it a perfect square, it must be multiplied by 5.Required number:= 2² * 3² *5²= 900 (Answer) Find the least square number which is divisible by 10, 12, 15 and 18? Read More »
In how many ways can three consonants and two vowels be selected from the letters of the word “TRIANGLE”? A. 25B. 13C. 40D. 30 Answer D. 30 Solution TRIANGLE3 Vowels and 5 ConsonantsThree consonants and two vowels selection possibilities5C3 * 3C2=10 * 3=30 (Answer) In how many ways can three consonants and two vowels be selected from the letters of the word “TRIANGLE”? Read More »
In the following question, two equations are given. On their basis you have to determine the relation between x and y and then give answer I. 3x^2 – 7x + 2 = 0 II. 2y^2 – 11y + 15 = 0 A. x < yB. x > yC. x ≤ yD. x ≥ y Answer A. x < y Solution Equation I3x² – 7x + 2 = 0 3x²-6x-x+2=0 3x (x-2)-1(x-2)=0 (3x -1)(x – 2) = 03x -1 = 0 3x =1 x = 1/3 , x-2=0 x = 2Equation II2y² -11y +15 = 0 2y² – 6y – 5y +15 = 0 2y (y-3)-5(y-3)=0(2y- 5)(y-3)= 0 (2y-5)=0 y = 5/2 Also (y – 3) = 0 y=3Now comparing x and yx = 1/3 is smaller than 5/2 and 3 x= 2 is smaller than 3 and 5/2Thus we see that x is smaller than yx<y In the following question, two equations are given. On their basis you have to determine the relation between x and y and then give answer I. 3x^2 – 7x + 2 = 0 II. 2y^2 – 11y + 15 = 0 Read More »
In the following question, one or two equation(s) is/are given. On their basis you have to determine the relation between x and y and then give answer. I. x^2 + 3x + 2 = 0 II. 2y^2 = 5y A. x < yB. x > yC. x ≤ yD. x = y Answer A. x < y Solution We will separately solve both equationsEquation 1: x²+3x+2=0 x²+2x+x+2=0 x (x + 2)+1 (x +2)= 0 (x + 2) * (x + 1)= 0 x=-2 , x=-1Equation 2: 2y² = 5y 2y² – 5y = 0 2y * (y – 5/2) = 0 y=0 , y= 5/2Both values of y are positive while both values of x are negativex<y In the following question, one or two equation(s) is/are given. On their basis you have to determine the relation between x and y and then give answer. I. x^2 + 3x + 2 = 0 II. 2y^2 = 5y Read More »
A candidate, appearing for an examination, was asked to find 3/14 of a certain number but mistakenly, he found 3/4 of it. When he cross checked his answer, he found his answer was 150 more than the correct answer. Which number was given in the examination for this calculation? A. 160B. 180C. 240D. 280 Answer D. 280 Solution Let the required number be xSo, as per the question, we have3x/4 – 3x/14 = 150(21x-6x)/28 = 150x = (150*28)/15x = 280Thus, the given number is 280 A candidate, appearing for an examination, was asked to find 3/14 of a certain number but mistakenly, he found 3/4 of it. When he cross checked his answer, he found his answer was 150 more than the correct answer. Which number was given in the examination for this calculation? Read More »
What is the value of ‘X’, if 2x + 9x = 11? A. 9B. 1C. 3D. 0 Answer B. 1 Solution 2x+9x=1111x=11x=11/11x=1 (Answer) Submitted by: Admin What is the value of ‘X’, if 2x + 9x = 11? Read More »
If five cars are parked bumper to bumper, how many bumpers are touching each other? A. 4B. 5C. 8D. 10 Answer C. 8 Solution Let ↔be Car, then 5 cars parked will look like↔↔↔↔↔so by placing 5 cars bumper to bumper, there will be 8 bumpers touching because the front of first car and back of last car are left without touching. Submitted by: Admin If five cars are parked bumper to bumper, how many bumpers are touching each other? Read More »
If Asif is standing in a queue in such a way that he is sixth in the queue from either side, then how many people are there in the queue? A. 11B. 12C. 9D. 14 Answer A. 11 Solution Let, the five people from one side be A,B,C,D,Eand the five people from other side be V,W,X,Y,Zthen the queue will beA, B, C, D, E, Asif, V, W, X, Y, Ztherefore, 11 people are there in the queue. Submitted by: Admin If Asif is standing in a queue in such a way that he is sixth in the queue from either side, then how many people are there in the queue? Read More »
A rectangular room is 6m long, 5m wide and 4m high. What is the total volume of the room in cubic meters? A. 24B. 30C. 120D. 240 Answer C. 120 Solution Given: l=6m b=5mh=4mTherefore, Volume of the room = l×b×hVolume of the room = (6×5×4)m³Volume of the room = 120m³ A rectangular room is 6m long, 5m wide and 4m high. What is the total volume of the room in cubic meters? Read More »
8 machines can do a piece of work in 10 days. How long will it take 16 machines to do the work? A. 7 daysB. 6 daysC. 5 daysD. 8 days Answer C. 5 days Solution 1 machine will complete the piece of work in 8×10 days.So, 16 machines will do in = (8*10)/1616 machines will do in = 5 days 8 machines can do a piece of work in 10 days. How long will it take 16 machines to do the work? Read More »