The total of the ages of Ali, Gazi and Masud is 93 years. Ten years ago, the ratio was 2:3:4. What is the present age of Masud

10 years back,

2x + 3x + 4x = 93-30

9x =63

x=7

4x =28

Masud's age=38

What will be the least number which when doubled will be exactly divisible by 12,18,21 and 30

LCM of 12,18,21 and 30 is 1260

the number is 630

A train 80 meters long is running at a speed of 78km/hr. If it crosses a tunnel in 1 minute, then the length of the tunnel is:

tunnel is x meter

in 1 min the train crosses x + 800 miter

speed =78km/hr=78000m/60min = 1300m/min

x+800 =1300

x=500

If 4 A's Capital = 6 B's Capital = 10 C's Capital, then out of a profit of 4650, C will get

4a=6b=10c=k

then a=k/4, b=k/6,c=k/10

a:b:c= k/4 : k/6 : k/10 = 15:10:6

C gets 4650* 6/31 = 900

How many times in a day, are the hands of a clock in straight line but opposite in direction?

The hands of a clock point in opposite directions (in the same straight line) 11 timesin every 12 hours. (Because between 5 and 7 they point in opposite directions at 6 o'clcok only). So, in a day, the hands point in the opposite directions 22 times.

Two numbers A and B are such that the sum of 5%of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A :B

5% of A + 4% of B =2 /3(6% of A + 8% of B)

A : B =4:3

If the number 5*2 is divisible by 6 the * =?

As we can see it is an even number, so to be divisible by 6 it needs to be divisible by 3.

If the sum of the digits of a number is divisible by 3, then the total number is divisible by 3.

So putting 2 in the place of * the sum of the digit will be 5+2+2 = 9, which is divisible by 3

3 pumps, working 8 hours a day can empty a tank in 2 days. How many hours a day must 4 pumps work to empty the tank in 1 day.

Total hours needed for a pump to empty = 3*8*2 = 48 hours

4 pumps can empty it in one day by working for 48/4 = 12 hours

Which of the following trains is the fastest?

None of the above. all of them same speed.

A student was asked to find the arithmetic mean of the numbers 3,11,7,9,15,13,8,19,17,17,21, 14 and x. He found the mean to be 12. What should be the number in place of x?

Clearly, we have (3 + 11 + 7 + 9 + 15 + 13 + 8 + 19 + 17 + 21 + 14 + x) / 12 = 12.

or  137 + x = 144

or x = 144 - 137 = 7.

How many days are there in x weeks x days?

1 week has 7 days x weeks have 7x days Total=7x+x=8x days

Pipes A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the pipes are opened together, then the tank will be filled in:

A in 1 hour fills 1/5 B in 1 hour fills 1/6 C in one hour empties 1/12   Together they fill in 1 hour 1/5 + 1/6 - 1/12 = (12 + 10-5)/60 = 17/60 Total Time = 60/17 =3 9/17 hours

If 0.4 of a number is equal to 0.06 of another number, the ratio of the numbers is:

o.4 x = 0.06y x/y = .06/.4 = 3/20

Find the smallest number by which 5808 should be multiplied so that the product becomes a perfect square.

5808 = 2 x 2 x 2 x 2 x 3 x 11 x 11 = 2^2 x 2^2 x 3 x 11^2. To make it a perfect square, it must be multiplied by 3.

The interest on a certain deposit at 4.5% p.a. is Tk 202.50 in one year. How much will the additional interest in one year be on the same deposit at 5% p.s

I = pnr 202.50= p*1*4.5% p=202.5/4.5% = 4500 So the new Interest will be, 4500*1*5%=225 More, 22.50

2-[2-{2-(2(2+2)}] // We are not sure about the + sign here

None 

The breadth of a rectangular field is 60% of its length. If the perimeter of the the field is 800m, what is the area.

Length =100x Breadth = 60x Perimeter=800 => 320x = 800 => x=80/32=5/2 Area=6000x^2=6000.25/4=37500

Peter purchased a machine for tk 80,000 and spent tk 5000 on repair and 1000 on transport and sold it with 25% profit. At what price did he sell the machine.

Total spent on the machine=80000+ 5000+1000=86000 Selling price = 86000 + 25% of 86000 = 107500

A takes twice as much time as B or three as much time as C to finish a piece of work. Working together they can finish the work in 2 days. B can do the work alone in-

Suppose A, B and C takes x,x/2 and x/3 days respectively to finish the work 1/x + 2/x + 3/x = 1/2 6/x=1/2 So, B takes (12/2) = 6 days to finish the work.

Which of the following fractions is greater than 3/4 and less than 5/6

4/5

Arrange the following in a meaningful sequence:

Illness->Doctor->Consultation->Treatment->Recovery

If X is brother of son of Y's son, then how is X related to Y

X---Brother (Son of Y' son) X brother of y's grandson

2.5.9.19.37

X Y Z Z = y + 2x 75

Rahim ranks seventh from the top and twenty-sixth from the bottom. How many students are there in the class?

32

When you see a blind man trying to cross the road, you

go and help him.

Z,U,Q,?,L

N z to u difference 5 u to Q difference 4 Q to N difference 3

if A>B, B>C and C > D, then which of the following is definitely wrong

D >A

Which Letter in the alphabet is as far from G as T is from M

N

Among P,Q,R,S and T, Q is the second largest and S is immediate taller than the shortest. Who among them in the middle when they stand in the order of their heights?

Only II is sufficient to answer the question

70.

32 5*6*4=120 / 10 = 12 6*7*5=210/10=21 4*8*10=320/10=32