0
Q:

A) 3/5 B) 3/6
C) 3/7 D) 3/8

Answer:   C) 3/7

Explanation:

= \inline {\color{Blue}\frac{\frac{7}{2}\times \frac{2}{5}\times \frac{3}{2}}{\frac{7}{2}\div \frac{15}{4}}\div 5.25}

=\inline {\color{Blue}\frac{\frac{21}{10}}{\frac{7}{2}\times \frac{4}{15}}\div \frac{525}{100}}

=\inline {\color{Blue}\frac{21}{10}\times \frac{15}{14}\times \frac{100}{525}=\frac{6}{14}=\frac{3}{7}}

Q:

A man could buy a certain number of notebooks for Rs.300. If each notebook cost is Rs.5 more, he could have bought 10 notebooks less for the same amount. Find the price of each notebook ?

A) 15 B) 20
C) 10 D) 8
 
Answer & Explanation Answer: C) 10

Explanation:

Let the price of each note book be Rs.x.
Let the number of note books which can be brought for Rs.300 each at a price of Rs.x be y.
Hence xy = 300
=> y = 300/x
(x + 5)(y - 10) = 300 => xy + 5y - 10x - 50 = xy
=>5(300/x) - 10x - 50 = 0 =>
multiplying both sides by -1/10x
=>
=> x(x + 15) - 10(x + 15) = 0
=> x = 10 or -15
As x>0, x = 10.

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1 28
Q:

A tailor has 37.5 metres of cloth and he has to make 8 pieces out of a metre of cloth. How many pieces can he make out of half of the cloth he has ?

A) 300 B) 150
C) 175 D) 200
 
Answer & Explanation Answer: B) 150

Explanation:

Half of the cloth = 37.5/2
From 1 meter he will make 8 pieces
=> in 37.5/2 ---- ?

37.5/2 x 8

= 150.

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1 20
Q:

Identify the greatest numbers :  

A.        B.        C.   

A) A B) C
C) Both A and B D) All are equal
 
Answer & Explanation Answer: D) All are equal

Explanation:

     =      =      =>   =     =   

Hence,   ,   and are all equal.

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1 20
Q:

217 x 217 + 183 x 183 = ?

A) 84521 B) 87487
C) 80578 D) 78458
 
Answer & Explanation Answer: C) 80578

Explanation:


= = 2(40000 + 289) = 80578.

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1 40
Q:

Twenty times a positive integer is less than its square by 96. What is the integer ?

A) 42 B) 36
C) 48 D) 24
 
Answer & Explanation Answer: D) 24

Explanation:

Let the integer be x. Then,

x2 - 20x = 96

(x + 4)(x - 24) = 0

x = 24

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1 31