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Q:

A cone is hollowed out of a solid wooden cube of side 7 cm. The diameter and height of the cone is same as the side of the cube. What is the volume of the remaining cube?

A) 253.17 cubic cms B) 228.84 cubic cms
C) 143.26 cubic cms D) 257.68 cubic cms

Answer:   A) 253.17 cubic cms



Explanation:
Q:

The usual average speed of a car on a particular stretch of road is 75 km/hr. On a particular day, the average speed was 12% less than the usual, as a result of which the time taken was I S minutes more.


How long is the stretch of road, in kilometres?

 

A) 155 B) 176
C) 165 D) 150
 
Answer & Explanation Answer: C) 165

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1 136
Q:

In an examination in which the full marks were 500, A scored 25% more marks than B, B scored 60% more marks than C and C scored 20% less marks than D. IfA scored 80% marks, then the percentage of marks obtained by is:

 

A) 65% B) 60%
C) 50% D) 54%
 
Answer & Explanation Answer: C) 50%

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0 99
Q:

Shaan has a total of ₹5,500 with him. He buys product ‘Z’ at ₹5,000 from this sum and then sells it to another person, thus making a profit of 15% onit. With all the money he has now, he buys product ‘X’ andthen sells it to another person making a profit of 25% onit.


What is the total money Shaan has now?

 

A) ₹7,812.50 B) ₹7,815.50
C) ₹6,325.50 D) ₹7,187.50
 
Answer & Explanation Answer: A) ₹7,812.50

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0 1169
Q:

If 5 cosθ-12 sinθ=0, then what is the value of frac{1 + sin theta + cos theta}{1 - sin theta + cos theta}

 

A) 54\frac{5}{4} B) 32\frac{3}{2}
C) 34\frac{3}{4} D) 52\frac{5}{2}
 
Answer & Explanation Answer: B) 32\frac{3}{2}

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0 57
Q:

Solve the below equation.

       1+221+(1+31

A) 94 B) 65
C) 214 D) 215
 
Answer & Explanation Answer: C) 214

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0 250
Q:

If A lies in third quadrant, and 20tanA=2120 tan A = 21, then the value of 5sinA-2cosA4cosA-57sinAfrac{5 sin A - 2 cos A}{4 cos A - frac{5}{7} sin A}

 

A) -6529\frac{-65}{29} B) 15\frac{1}{5}
C) 529\frac{5}{29} D) 1312\frac{13}{12}
 
Answer & Explanation Answer: B) 15\frac{1}{5}

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2 98
Q:

The sum of the squares of 3 natural numbers is 1029, and they are in the proportion 1 : 2 : 4. The difference between greatest number and smallest number is:

 

A) 15 B) 21
C) 31 D) 18
 
Answer & Explanation Answer: B) 21

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0 132
Q:

Two circles of radii 8 cm and 6 cm touch each other externally. The length of the direct common tangent is:

 

A) 13.86 B) 20
C) 10.12 D) 24
 
Answer & Explanation Answer: A) 13.86

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0 119