Question 11 :
If $p$ and $n$ are integers such that &#160;$p&gt; n &gt;&#160;0$ and $p^2- n^2 =12$, which of the following can be the value of $p n$?<br/>I. $1$<br/>II. $2$<br/>III. $4$

Question 12 :
Factorise&#160;${\left( {3 - 4y - 7{y^2}} \right)^2} - {\left( {4y + 1} \right)^2}$&#160;

Question 13 :
Find the first four common multiples of the following :$8$ and $12$.

Question 14 :
The largest number which divides $70$ and $125,$ leaving remainders $5$ and $8$ respectively is :<br>

Question 15 :
If$\displaystyle x^{2}-4$ is a factor of$\displaystyle 2x^{3}+ax^{2}+bx+12$ where a and b are constant Then values of a and b are

Question 16 :
If $n$ &#160;is a natural number then&#160;$\displaystyle n\left ( n+1 \right )\left ( n+2 \right )$ is always divisible by&#160;

Question 18 :
Find the greatest number that will divide $43, 91$ and $183$ so as to leave the same remainder in each case.

Question 25 :
In the word GOPAL, what fraction of alphabets are made of three lines?

Question 26 :
My elder sister divided a watermelon into $18$ parts. I ate $7$ out of them. My friend ate $4$. What fraction of watermelon remained?

Question 27 :
If 0.111 is approximately equal to$\displaystyle \frac{1}{9}$ then the approximate value of 0.777 is

Question 28 :
Four families went on a picnic. Each family carried a cake for picnic. $\cfrac { 3 }{ 4 } $ of each cake was eaten. How much cake was eaten in all?

Question 29 :
Pankaj scored 14 marks out of 20. Its fractional form is -

Question 31 :
A quantity which expresses a part of the whole is called a oran

Question 32 :
Ramu is reading a book of $100$ pages. Ramu read half the book. How many pages still to be read to complete the book?

Question 33 :
Use the digits $11, 9, 7$ to form the smallest and the largest mixed number. Then find their sum giving your answer as a mixed number.

Question 36 :
A carpenter wants to cut a two-foot board into segments that are each $5$ inches long. How many full segments can he cut?

Question 38 :
Evaluate the following:$ 0.8 \times \displaystyle \dfrac {\dfrac {7}{12}}{\dfrac {5}{24}} $.<br/>

Question 40 :
The smallest fraction which should be subtracted from the sum of $1\dfrac{3}{4},\,2 \dfrac{1}{2},\,5 \dfrac{7}{12}, \,3\dfrac{1}{3}$ and $2 \dfrac{1}{4}$&#160;to make the&#160;result a whole number, is _______.

Question 46 :
A pole is painted red and white. The red portion is $1.8 m$ and the white portion is three times as long as the red portion. How long is the pole?

Question 47 :
If $40$ articles cost Rs. $180,$ the cost of $18$&#160;articles is

Question 48 :
The price of $282$ apples is $Rs.\,1974$. What will be the price of $24$ dozens of apples?

Question 49 :
$520\ g$ of tiny pink pebbles are mixed with $580\ g$ of tiny purple pebbles. Vihan packed the mixture of the tiny pebbles into $5$ equal packets. How many grams of the mixture are there in each packet?

Question 50 :
A certain industrial loom weaves $0.128$ metres of cloth every second. Approximately how many seconds will it take for the loom to weave $25$ metres of cloth?

Question 51 :
Dale orders a soccer jersey online. If the jersey costs 40 euros, how many dollars did Dale have to pay for the jersey? (1 euro= $ $1.2 $ )

Question 52 :
A contractor sent $7695940$ bricksfor the construction of $70$ chambers. If an equal number of bricks were required for each chamber, how many bricks were used for each chamber?

Question 54 :
Class mark of a particular class is 6.5 and class size is 3 then class interval is:

Question 55 :
The price of $349$ coconuts is $Rs.\,2094$. What will be the price of $26$ dozens of coconuts?

Question 57 :
If $3$ pieces of table cloth cost $Rs.\,112.50$, then the number of pieces of table cloth available for $Rs.\,487.50$ is

Question 59 :
<u></u>$1$ cup = $8$ ounces <br/>$10$ ounces = $60$ teaspoons&#160;&#160;<br/>Based on the information above, how many teaspoons are equivalent to $\frac{1}{4}$ cup?

Question 60 :
A family of $5$ persons can be maintained for $20$ days with Rs $2,480.$ Find how long Rs $6,944$ maintain a family of $8$ persons.

Question 61 :
If surface tension (S), Moment of inertia (I) and Planck's constant (h), were to be taken as the fundamental units, the dimensional formula for linear momentum would be :-

Question 62 :
Nate walks $25$meters in $13.7$ seconds. If he walks at this same rate, which of the following is closest to the distance he will walk in $4$ minutes?

Question 63 :
<table class="wysiwyg-table"><tbody><tr><td>Age</td><td>Male</td><td>Female</td><td>Total</td></tr><tr><td>$0-18$ year old</td><td>$56$</td><td>$50$</td><td>$106$</td></tr><tr><td>$19-40$ years old</td><td>$108$</td><td>$90$</td><td>$198$</td></tr><tr><td>$41-65$ years old</td><td>$126$</td><td>$135$</td><td>$261$</td></tr><tr><td>$66+$ years old</td><td>$90$</td><td>$96$</td><td>$185$</td></tr><tr><td>Total</td><td>$380$</td><td>$370$</td><td>$750$</td></tr></tbody></table>The age of a random sample of people from a population is summarized in the table above. The whole population consists of $31,000$&#160;people. Mark the correct statement.

Question 64 :
If the weight of $5$ bags of rice is $272\ kg$, then the weight of $1$ bag of rice is

Question 65 :
Trees are to be planted inside a circular tree orchard so that there are $5$ trees per square meter. The circumference of the tree orchard is $30$ meters. If trees are available only in allotments of packages of $6$, how many allotments will the caretaker need to purchase?