If 8 men can reap 80 hectares in 24 days , then how many hectares can 36 men reap in 30 days?

Correct Answer: Rs. 340

Explanation:

Assume first child (the youngest) get = Rs. x

According to the question ;
each son having Rs. 30 more than the younger one

Second child will get = Rs. x + 30
Third child will get = Rs. x + 30 + 30 = x + 60
Forth child will get = Rs. x + 30 + 30 + 30 = x + 90
Fifth child will get = Rs. x + 30 + 30 + 30 + 30 = x + 120

Total amount they got = Rs. 2000

x + (x+30) + (x+60) + (x+90) + (x+120) = 2000
5x + 300 = 2000
5x = 1700
x = Rs. 340
So the youngest child will get Rs. 340.

Correct Answer: 14

Explanation:

1 2 3 4 5 6(Shankar) 7(Nitu) 8(Althaf) 9 10 11 12 13 14
Here, Althaf is 8th from front, Shankar is 9th from rear end and Nitu is between them
So minimum no. of boys standing in the queue = 14

Correct Answer: 3 days

Explanation:

Let x men can do the in 12 days and the required number of days be z

 

More men, Less days     [Indirect Proportion]

 

Less work, Less days     [Direct Proportion  ]

  m e n 2 x : x w o r k 1 : 1 2 : : 12 : z

? 2 x × 1 × z = x × 1 2 × 12

  ? z = 3

Correct Answer: 12th element

Explanation:

If we consider the third term to be ?x?
The 15th term will be (x + 12d)
6th term will be (x + 3d)
11th term will be (x + 8d) and
13th term will be (x + 10d).
Thus, as per the given condition, 2x + 12d = 3x + 21d.Or x + 9d = 0.
x + 9d will be the 12th term.

Thus, 12th term of the A.P will be zero.

Correct Answer: 48 paise

Explanation:

Quarter of Kg means 250 gm

Less weight, less price (Direct Proportion)

So,

250 : 200 :: 60 : x => x = 48

So 200 gm will cost 48 paise.

Correct Answer: 42

Explanation:

After 10 days : 150 men had food for 35 days.

 

Suppose 125 men had food for x days.

 

Now, Less men, More days (Indirect Proportion)

 

? 125 : 150 :: 35 : x    ?   125 x x = 150 x 35

 

  ? x = 150 × 35 125 = 42

 

 

Correct Answer: Rs. (yd/x)

Explanation:

Cost of x metres = Rs. d.

Cost of 1 metre = Rs.(d/x)

Cost of y metres = Rs.[(d/x).y] = Rs.(yd/x)

Correct Answer: 48 Paise

Explanation:

Let the Required cost be X paise.  Less Weight , Less cost (Direct Proportion)

Therefore, 250 : 200 :: 60 : x

=> (250 * x) = (200 * 60)

=> x= 48

Correct Answer: 40

Explanation:

Let the required number of days be x.

 

Less cows, More days (Indirect Proportion)

 

Less bags, Less days (Direct Proportion)

 

$$\begin{gathered} c o w s 1 : 40 : 40 : x \\ b a g s 40 : 1 : 40 : x \\ \end{gathered}$$

 

1 x 40 x x = 40 x 1 x 40

 

=>  x = 40.

Correct Answer: 16

Explanation:

Let the required number of bottles be x.

 

More weavers, More mats (Direct Proportion)

 

More days, More mats (Direct Proportion)

 

 

$$\begin{gathered} w e a v e r s 4 : 8 } : 4 : x \\ d a y s 4 : 8 } : 4 : x \end{gathered}$$ 

4 x 4 x x = 8 x 8 x 4

 

=> x =  8 * 8 * 4 4 * 4

 

=> x = 16.