Arohi and Viraj visit the Museum every 2 and 3 day, they met in the Museum on a 10th Feb and it was Sunday. Every time they meet on a Wednesday Arohi gives Viraj a Crystal. When will Viraj Get 2nd Crystal from Arohi, If he hadn’t receives any crytal till 10th Feb.

1. After 24 days
2. After 42 days
3. After 66 days
4. After 90 days

Solution for Quant Question of the day: 255

We will take 3 smallest prime numbers to start that are 2,3,5

now we will pick 2 at a time from the above list and multiply them. It will be 3C2 ways = 3 ways

2*3    3*5     2*5

Now these 3 numbers are not co-prime and also none of them is multiple of other.

Hence 3 smallest prime will satisfy the requirement.

And Since these are the only prime in the list of numbers, hence their LCM will be 2*3*5 = 30

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Quant Question Of The Day: 255

If Z is a set of 3 numbers, which are not co-prime to each other and none of them is multiple of other, then what is the minimum LCM of these 3 numbers

1. 60
2. 8
3. 24
4. 30

Solution for Quant Question of the day: 254

a/(a+b) = b/(a-b)

Let’s divide the entire equation by ‘b’ (let’s say a/b = k)

so k/(k+1) = 1/(k-1)

k(k-1) = (k+1)

k^2-k = k+1

k^2-2k = 1

k^2-2k+1 = 2

(k-1)^2 = 2

k-1 = (2)^0.5

k =1.41+1 = 2.41

hence a/b = 2.41 , so ‘a’ is 241% of ‘b’

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Quant Question Of The Day: 254

‘x’ as percentage of ‘(x+y)’is same as ‘y’ as percentage of ‘(x-y)’. Then ‘x’ is what percentage of ‘y’.

1. 100%
2. 241%
3. 50%
4. 141%

Solution for Quant question of the day: 253

400 = 2^4 * 5^2

a and b are two numbers that give lcm 400.

One of them have 2^4 and others has any power of 2 upto 4

0 4, 1 4, 2 4, 3 4, 4 0, 4 1, 4 2, 4 3, 4 4
which is 9 pairs

Same way one of them have 5^2 and other has any power of 5 upto 5

0 2, 1 2, 2 0, 2 1, 2 2
which is 5 pairs

hence total 9*5 = 45 ordered pairs

but we don’t want ordered pairs, hence 23 pairs.

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Quant Question Of The Day: 253

In the given figure product of the elements in the row (b*d) is same as the product of the elements in the column (a*b*c). There are 6 possible numbers to fill in the figure 2, 7 , 11, 14 , 3 , 21.

Which of the above numbers has to be in the list

1. 2
2. 3
3. 7
4. 11

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Puzzle of the day: 159

In the given figure product of the elements in the row (b*d) is same as the product of the elements in the column (a*b*c). There are 5 possible numbers to fill in the figure 2,3,5,6,7.

Which two numbers cannot appear together in the figure

1. 2,3
2. 5,7
3. 6,7
4. 3,6

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Puzzle of the day: 158

There is cube of 6*6*6. It has total 216 small pieces. This cube is broken into 8 smaller cubes of 3*3*3. if the qty of paint needed to paint all of these cubes is 28 litres, then what was the qty of paint required to paint original cube

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Puzzle of the day: 157

What is the highest number when divides 1760 and 1440 leaves remainder 11 and 9 respectively.

1. 1
2. 11
3. 9
4. 159

See our previous Quant question of the day

Quant Question Of The Day: 251