Test Details

Rational Numbers, Data Handling and 2 other Topics

Prefinal2

Feb 18, 11:32 AM

120 minutes

Feb 18, 1:32 PM

55.0 marks

MCQ

24 questions

Raghu Ram

mathematics is not magic it is logic.

Class Details

MAT

Mathematics

SSC CGL

MAT

Mathematics

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Question Text

Question 1 :
$20$ out of $40$ people love eating chocolate, so eating chocolate in the pie chart will be represented by _____

Question 3 :
Monthly salary of a person is $ Rs.15000 $. The central angle of the sector representing his expenses on food and house rent on a pie chart is $ 60^o $. The amount he spend on food and house rent is

Question 4 :
Two cards are drawn simultaneously from a well shuffled pack of $52$ cards. The expected number of aces is?

Question 5 :
State whether the statement is true (T) or false (F).<br/>The rational number $\dfrac{-8}{-3}$ lies neither to the right nor to the left of zero on the number line.

Question 10 :
If $a-b=3$ and $ \displaystyle a^{3}-b^{3}=117 $ then $a+b$ is equal to 

Question 12 :
$(2x + 3y)^{2} = 4x^{2} + 9y^{2} + M$, find M.<br/>

Question 14 :
If $2x - \dfrac{1}{2x} = 3$, find the value of $16x^4 + \dfrac{1}{16x^4} $

Question 15 :
Two numbers are such that their sum multiplied by the sum of their squares is $5500$ and their difference multiplied by the difference of the squares is $352$. Then the numbers are ?<br/>

Question 17 :
The base of a right prism is a Trapezium whose lengths of two Parallel sides are $10 cm$ and $6\ cm$ and distance between them is $5\ cm$. If the height of the prism is $8 cm$, its volume is

Question 19 :
In a swimming pool measuring $90$ m by $40$ m, $150$ men take a dip. If the average displacement of water by a man is $8 m^3$, what will be the rise in water level ?

Question 20 :
Total surface area of a cube of 2 centimetre side is

Question 21 :
$OPQR$ is a square. $M, N$ are the midpoints of the sides $PQ$ and $QR$ respectively. If the ratio of the areas of the square and the $\triangle OMN$ is $\lambda : 6$, then $\dfrac\lambda4$ is equal to

Question 22 :
In a $\triangle ABC$, $ A\equiv (\alpha, \beta), B\equiv (2, 3) $ and $C\equiv (1, 3) $ and point $A$ lies on line $y = 2x +3$ where $\alpha \in I$. Area of $\triangle ABC=\Delta$, is such that $[\Delta] = 5$. Possible coordinates of $A$ are (where $[.]$represents greatest integer function)

Question 23 :
$OPQR$ is a square and $M, N$ are the middle points of the sides $PQ$ and $QR$, respectively, then the ratio of the areas of the square and the $\triangle OMN$ is

Question 24 :
The barrel of a fountain pen, cylindrical in shape, is $7$ cm long and $5$ mm in diameter. A full barrel of ink in the pen will be used up on writing $330$ words on an average. How many words would use up a bottle of ink containing one fifth of litre ?

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