Relation for Direct Proportion

Q.

Nick is making bread dough. The recipe requires $\frac{3}{4}$ cup of flour and $1\frac{1}{8}$ teaspoon of salt. Nick wants to make the recipe using $1$ cup of flour. To maintain the ratio, how much salt is required when $1$ cup of flour is used?

Q.

Question 99

What portion of a 'Saree' can Rehana paint in 1 hour, if it requires 5 hours to paint the whole Saree? In 4$\frac{3}{5}$ hours? In 3$\frac{1}{2}hours$?

Q. The main sources of revenue of the Central Government are _________.
$1$. Income tax
$2$. Corporate tax
$3$. Customs duties
$4$. Excise duties
On the basis of their importance their correct sequence is ascending order is?

1. $4,3,2,1$
2. $1,2,3,4$
3. $4,2,1,3$
4. $3,1,2,4$

Q. 32. A tree of 6m height casrs a 4m long shadow, At the same time, a flag post cast a shadow 50m long.The height of post is?

Q. The price of $10$ chairs is equal to that of $4$ tables. The price of $15$ chairs and $2$ tables together is $Rs.4000$. Find the total price of $12$ chairs and 3 tables.

1. $Rs.3750$
2. $Rs.3840$
3. $Rs.3500$
4. $Rs.3900$

Q.

A rail journey of $50km$ costs ₹$160$. How much will a journey of $80km$ cost?

1. ₹$240$

2. ₹$245$

3. ₹$204$

4. ₹$256$

Q.

$$\begin{array}{cccccc}Quantity\left(InKg\right)/Price& 1& 2& 3& 4& 5\\ Gummybear& 20& 40& 60& 80& 100\\ Candies& 30& 60& 90& 120& 150\\ Chocolates& 50& 100& 150& 200& 250\end{array}$$

According to the information given, what is the total price of 6 kg of all the items?

1. 550

2. 500

3. 650

4. 600

Q.

The cost of diamond varies directly as the square of its weight. A diamond weighting 10 decigrams costs Rs. 8, 000. If it breaks into two pieces whose weights are in the ratio 3 : 2, then the loss incurred (in rupees) is ___.

1. 3840
2. 3960
3. 4040
4. 4160

Q.

Working at the same constant rate, 7 identical machines can produce a total of 490 toys per minute.At this rate, how many toys could 10 such machines produce in 5 minutes?

1. 3500

2. 4200

3. 2700

4. 4500

Q. The President of India is vested with an ordinance making power by Article $123$, he exercises this power __________________.

1. when Lok Sabha is not in session and circumstances exist which render it necessary for the President to take immediate action
2. when Council of States is not in session and the President is satisfied that circumstances exist which render it necessary for him to take immediate action
3. when both Houses of Parliament are not in session and President is satisfied that circumstances exist which made it necessary for him to take the immediate action
4. in all the above circumstances

Q.

Find the missing number.

$$\begin{array}{ccccc}X& 30& 35& & 45\\ Y& 42& 49& 56& 63\end{array}$$

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Q. The average weight of $10$ men is decreased by $3kg$ when one of them whose weight is $80kg$ is replaced by a new person. The weight of the new person is

1. $70$
2. $50$
3. $73$
4. $60$

Q. $X$ takes $3$ hours more than $Y$ to walk $30km$. But, if $X$ doubles his pace, he is ahead of $Y$ by $1\frac{1}{2}$ hours. Find their speed of walking.

Q. Following are the car parking charges near a railway station

	Number of Hours $\left(x\right)$	Parking charge $\left(y\right)$
upto	$4$ hours	Rs.$60$
	$8$ hours	Rs.$100$
	$12$ hours	Rs.$140$
	$24$ hours	Rs.$180$

Check if the parking charges and parking hours are in direct proportion.

Q. Dandi March started on ___________, $1930$.

1. $12$th March
2. $12$th April
3. $12$th February
4. $12$th May

Q. Find the total money Rs. 'M' in a purse, if the purse contains $2x$ notes of $Rs.5$ each, $3y$ notes of $Rs.2$ each, $6z$ coins of $Re.1$ each and $8r$ coins of $50$ paise each.

1. $M=Rs.(10x+6y+6z+4r)$
2. $M=Rs.(6x+10y+4z+6r)$
3. $M=Rs.(10x-6y+6z+4r)$
4. $M=Rs.(6x-10y+4z+6r)$

Q. In a model of a ship, the mast is 9 m high, while the mast of the actual ship is 12 m high. If the length of the ship is 28 m, how long is the model ship ?

Q.

Find the missing number.

$$\begin{array}{ccccc}X& 30& 35& & 45\\ Y& 42& 49& 56& 63\end{array}$$

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Q. If $G_1,G_2$ are the geometric means of two series of observations and $G$ is the GM of the ratios of the corresponding observations then $G$ is equal to

1. $\frac{G_1}{G_2}$
2. $\frac{\log G_1}{\log G_2}$
3. $\log G_1-\log G_2$
4. $\log (G_1.G_2)$