Direct Proportion

Q.

Half of a herd of deer are grazing in the field and three-fourths of the remaining are playing nearby. The rest $9$ are drinking water from the pond. Find the number of deer in the herd.

Q.

At a cricket test match $\frac{2}{7}$ of the spectators were in a covered place while $15000$ were in open. Find the total number of spectators

Q.

Rajesh commutes daily by traveling $\frac{4}{5}$ of the distance between his home and office by metro train, $\frac{3}{20}$ by auto and remaining $1km$ on foot. What is the distance between his home and office?

Q.

A contractor undertook to build a road in $200$ days. He employed $140$ men. After $60$ days, he found that only one-fourth of the road could be built. How many additional men should he employ to complete the work in time?

1. $40$
2. $60$
3. $80$
4. None of these

Q.

A rope of length 71 1\2 m is cut into 26 pieces. What is the length of each piece

Q.

Work hard and you will succeed [begin; unless]

Q. Simple interest on a sum is 9/16 of the sum.
Find the rate per cent and the time if both are numerically equal.

Q.

A glass contains $\frac{1}{4}$ liter of milk. How many glasses of milk is required to fill a bucket of $\frac{10}{2}$ liters ?
[4 MARKS]

Q.

$11$ men can dig $6\frac{3}{4}$ m long trench in one day. How many men should be employed for digging $27$ m long trench of the same type in one day ?

Q.

In a hostel, 75 students had food provision for 24 days. If 15 students leave the hostel, for how many days would the food provision last ?

Q.

Aman’s age is three times his son’s age. Ten years ago he was five times his son’s age. Find their present ages.

Q.

State whether the given statement is true or false:

Ratio means comparing two quantities.

1. True

2. False

Q.

A woman has twice as many dimes as quarters in her purse. If the dimes were quarters and the quarters were dimes, she would have$\$1.20$ more than she now has. How many of each does she have now?

Q.

6 cows can graze a field in 28 days. How long would 14 cows take to graze the same field ?

Q.

How many days are there in $x$ weeks $x$ days?

Q.

An auto-rickshaw takes $3$ hours to cover a distance of $36km$. If its speed is increased by $4km/h$, the time taken by it to cover the same distance is __________.

Q.

If two ratios are equal, then we say that they are ___

Q. Find the percent of pure gold in 22 - carat gold, if 24 carat gold is hundred percent pure gold.[2 MARKS]

Q.

Question 19

When two quantities x and y are in___proportion or vary___, they are written as $x\propto y..$

Q.

Cost of $1$ doll is $63.50Rs$. Find the cost of $87$ such dolls .

Q. A train is travelling at a speed of 120 km/h. How much distance will it cover in 40 minutes?

1. 60 km
2. 100 km
3. 120 km
4. 80 km

Q.

If 8 oranges cost Rs. 10.40, how many oranges can be bought for Rs. 33.80 ?

(a) 13 (b) 18 (c) 26 (d) 24

Q.

7 taps of the same size fill a tank in 1 hour 36 minutes. How long will 8 taps of the same size take to fill the tank ?

Q. If the cost of 1 kg of sugar is ₹ 36, then what would be the cost of 3 kg sugar?
[2 marks]

Q.

$X$ and $Y$ invest $\mathrm{Rs}.21000$ and $\mathrm{Rs}.17500$ respectively in a business. At the end of the year, they make a profit of $\mathrm{Rs}.26400$. What is the share of $X$ in the profit?

Q.

The denominator of a fraction is 1 more than its numerator. The sum of the fraction and its reciprocal is $\frac{5}{2}$. Find the fraction.

Q.

$100$ persons had food provision for $24$days. If $20$persons left the place , the provision will last for

1. $30$ days

2. $\frac{96}{5}$ days

3. $120$days

4. $40$ days.

Q. If 24 newspapers weigh 576 grams, then how many newspapers will weigh 2.88 kilograms?

1. 150
2. 120
3. 124
4. 145

Q.

$\frac{1}{4}$ of the passengers of a train are children, $\frac{2}{5}$ of the passengers are males and the rest are females. If the the number of females travelling in the train is$420$, find the total number of passengers in the train.

Q.

If 12 inches correspond to 30.48 centimeters, then how many centimeters are there in thirty inches? [1 MARK]