## Marks 1

The product of three integers X, Y and Z is 192. Z is equal to 4 and P is equal to the average of X
and Y. What is the minimum possible value of P?

A worker noticed that the hour hand on the factory clock had moved by 225 degrees during her
stay at the factory. For how long did she stay in the fac...

The sum and product of two integers are 26 and 165 respectively. The difference between these
two integers is ____.

The value of the expression
$${1 \over {1 + \log _u^{vw}}} + {1 \over {1 + \log _v^{wu}}} + {1 \over {1 + \log _w^{uv}}}$$ is

A rectangle becomes a square when its length and breadth are reduced by 10 m and 5 m,
respectively. During this process, the rectangle loses 650 m2
of...

Seven machines take 7 minutes to make 7 identical toys. At the same rate, how many
minutes would it take for 100 machines to make 100 toys?

A number consists of two digits. The sum of the digits is 9. If 45 is subtracted from the
number, its digits are interchanged. What is the number?

## Marks 2

Mola is a digital platform for taxis in a city. It offers three types of rides- Pool, Mini and Prime.
The table below presents the number of rides for...

Fiscal deficit was 4% of the GDP in 2015 and that increased to 5% in 2016. If the GDP increased
by 10% from 2015 to 2016, the percentage increase in t...

Two pipes P and Q can fill a tank in 6 hours and 9 hours respectively, while a third pipe R can
empty the tank in 12 hours. Initially, P and R are ope...

A firm hires employees at five different skill levels P, Q, R, S, T. The shares of employment at
these skill levels of total employment in 2010 is giv...

M and N had four children P, Q, R and S. Of them, only P and R were married. They had children
X and Y respectively. If Y is a legitimate child of W, ...

A person divided an amount of Rs. 100,000 into two parts and invested in two different schemes.
In one he got 10% profit and in the other he got 12%. ...

An unbiased coin is tossed six times in a row and four different such trials are conducted.
One trial implies six tosses of the coin. If H stands for ...

A wire would enclose an area of 1936 m2
, if it is bent into a square. The wire is cut into
two pieces. The longer piece is thrice as long as the shor...

A contract is to be completed in 52 days and 125 identical robots were employed, each
operational for 7 hours a day. After 39 days, five-seventh of th...

Forty students watched films A, B and C over a week. Each student watched either only
one film or all three. Thirteen students watched film A, sixteen...

A house has a number which needs to be identified. The following three statements are
given that can help in identifying the house number.
i. If the h...

Given that a and b are integers and a + a2 b3
is odd, which one of the following
statements is correct?

For integers a, b and c, what would be the minimum and maximum values respectively of
a + b + c if log |a| + log |b| + log |c| = 0?

Which of the following functions describe the graph shown in the below figure?
...

From the time the front of a train enters a platform, it takes 25 seconds for the back of the
train to leave the platform, while travelling at a const...