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Study the following table carefully and answer these questions given below (figures in 10,000):
Number of five cars produced and rejected (for defects) by a company over the years
$\begin{array}{ccccccccccc}Car& A& & B& & C& & D& & E& \\ Year& Produced& Rejected& Produced& Rejected& Produced& Rejected& Produced& Rejected& Produced& Rejected\\ 2003& 20& 2& 50& 3& 15& 0.5& 80& 5& 60& 4\\ 2004& 35& 3& 45& 2& 20& 0.55& 75& 4& 58& 4\\ 2005& 15& 0.5& 40& 2.5& 17& 0.7& 58& 2& 62& 3.5\\ 2006& 25& 0.25& 42& 2.3& 25& 1.5& 65& 3& 40& 1.5\\ 2007& 30& 1.5& 48& 2.5& 30& 2.0& 68& 3& 45& 2\\ 2008& 27& 1.5& 41& 2.1& 26& 1.75& 72& 3.5& 50& 2.3\end{array}$

In case of B type cars, in which year was the ratio of rejection to production the highest among the given years?

Watchman A has worked more night shifts in a row than Watchman B, who has worked five. Watchman C has worked fifteen night shifts in a row, more than Watchman A and Watchman B combined. Watchman D has worked eight night shifts in a row, less than Watchman A. How many night shifts in a row has Watchman A worked?

In the question, a pair of equations is given. You have to find out the values of x and y and choose the appropriate answer.

I. ${4x}^2$ - 4x - 3 = 0

II. ${4y}^2$ + 12y + 5 = 0

220 guests are to be transported from A to B. There are four types of buses and there are no constraints on their availability

Q64. What is the minimum possible cost for the trip?

Three coins are placed in such a way that one coin touches the other two (in the same plane). If the radius of each coin is r, what is the area of the triangle that circumscribes this arrangement of coins.

There are 13 couples, 5 single men and 7 single women in party. Every man shakes hand with every woman once. But none shakes hand with his wife. How many handshakes in total took place in the party?

1. 33

A group of $10$ persons including ''Manager'', ''Assistant manager'' and ''Secretary'' are to be seated around a circular table.

The total number of possible arrangements, if ''Manager'' and ''Secretary'' had to sit together and ''Assistant manager'' had to sit opposite to ''Manager'' is

ABC is a triangle in which $\angle CAB={80}^{\circ }$ and $\angle ABC={50}^{\circ }$, BE, AF and CD are the altitudes and O is the orthocentre. What is the value of $\angle AOB$?

Q62) Here are some words translated from an artificial language.

peslligen means basketball court

ligenstrisi means courtroom

oltaganti means placement test

Which word could mean "guest room"?

If we consider the angle made between the hour hand and the minute hand of a clock, then at what time is a right angle formed?

The probablities of three events $A,B\text{and}C$are $P\left(A\right)=0.6,P\left(B\right)=0.4$ and $P\left(C\right)=0.5$. If $P(A\cup B)=0.8,P(A\cap C)=0.3,P(A\cap B\cap C)=0.2$ and $P(A\cup B\cup C)\ge 0.85.$ Then the range of $P(B\cap C)$is

Let g(x)= |x+1|. The number of values that 'x' can take (given that its range is between -2 $\&$ + 2 (both inclusive) for which g(x-3), g(x-1), g(x+1) are in AP is?

The sum of three consecutive terms of an A.P. is 162. The value of the second term of the progression is

"A” and "B” have to clear their respective loans by paying 3 equal annual installments of Rs.4,00,000 each. "A” pays at 10% per annum of simple interest while "B” pays 10% per annum compound interest. What is the difference in their payments?

Number of five-digit numbers that contain digit $7$ exactly once is

On 1st August, 2016, a survey was conducted in a restaurant regarding flow of customer, type of customer, collection of money at the counter. The results are compiled in the table below.

Only one bill is issued per single customer or per customer group. Group here means more than one customer at one time. This represents a typical day’s scenario and all working days of the month will show the same data on each day.

The average bill amount spend by customer in a group is approximately ___ times that spent by a customer when single?

A car P leaves City C at 7 am and reaches City D at 11 am. Another car Q leaves City D at 9 am and reaches City C at 12:30 pm. At what time do the 2 cars cross one another?

If $\left|\begin{array}{ccc}4-x& 4+x& 4+x\\ 4+x& 4-x& 4+x\\ 4+x& 4+x& 4-x\end{array}\right|=0$,

then the sum of value(s) of $x$ is

Question 29

Fill in the blanks to make the statements true.

There are ___ natural numbers between $n^2$ and $(n+1{)}^2$.

The remainder obtained when $(2+5^2+6^3+{11}^4+2^5+5^6+6^7+{11}^8+\dots \dots 2^{97}+5^{98}+6^{99}+{11}^{100})$ is divided by 5 is

An integer is chosen at random from the numbers ranging from 1 to 50. What is the probability that the integer chosen is a multiple of 2 or 3 or 10?