1 .The average weight of a class of 15 boys and 10 girls is 38.4 kg. If the average weight of the boys is 40 kg, then what is the average weight of the girls?
Answer & Explanation
Answer : Option C |
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Explanation : |
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2 .A railway ticket for a child costs half the full fare but the reservation charge is the same on half tickets as much as on full ticket. One reserved first class ticket for a journey between two stations is Rs.362, one full and one half reserved first class tickets cost Rs.554. What is the reservation charge?
Answer & Explanation
Answer : Option B |
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Explanation : |
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3 .If $3\over x+y$ + $2\over x-y$ = 2 and $9\over x+y$ + $4\over x-y$= 1 then what is the Value of $x\over y$
a. $3\over 2$ ,
b.5,
c.$2\over 3$
d.$1\over 5$
Answer & Explanation
Answer : Option B |
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Explanation : |
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4 .If cos A = tan B, cos B = tan C and cos C = tan A then $sin^2$ A is equal to
a.$\sqrt{2}-1\over4$ ,
b.$\sqrt{2}-1\over2$ ,
c.$\sqrt{3}-1\over4$ ,
d.$3-\sqrt{5}\over2$
Answer & Explanation
Answer : Option D |
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Explanation : |
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5 .If sin x+ cos x= c then $sin^6$ x+ $cos^6$ x is equal to
a. $1+6c^2-3c^4\over16$
b.$1+6c^2-3c^4\over4$
c.$1+6c^2+3c^4\over16$
d.$1+6c^2+3c^4\over4$
Answer & Explanation
Answer : Option B |
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Explanation : |
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6 .The angle of elevation of a cloud from a point 200 m above a lake is 30° and the angle of depression of its reflection in the lake is 60°. The height of the cloud is
Answer & Explanation
Answer : Option C |
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Explanation : |
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7 .
Answer & Explanation
Answer : Option A |
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Explanation : |
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8 .If Ais the area of a right angled triangle and bis one of the sides containing the right angle, then what is the length of the altitude on the hypotenuse?
a.$2Ab\over\sqrt{b^4+4A^2}$
b.$2A^2b\over\sqrt{b^2+4A^2}$
c.$2Ab^2\over\sqrt{b^2+4A^2}$
d.$2A^2b^2\over\sqrt{b^2+A^2}$
Answer & Explanation
Answer : Option A |
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Explanation : |
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9 .A parallelogram and a rectangle stand on the same base and on the same side of the base with the same height. If $I_1$, $I_2$ be the perimeters of the parallelogram and the rectangle respectively, then which one of the following is correct?
a.$I_1$<$I_2$,
b.$I_1$=$I_2$,
c.$I_1$>$I_2$,
d.$I_1$=$2I_2$
Answer & Explanation
Answer : Option C |
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Explanation : |
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If a parallelogram and a rectangle stand on the same base and on the same side of the base with the same height, then perimeter of parallelogram is greater than perimeter of rectangle. $I_1$>$I_2$ |
10 .From the top of a cliff 200 m high, the angles of depression of the top and bottom of a tower are observed to be 30º and 45º, respectively. What is the height of the tower?
a.400 m
b.400 $\sqrt{3m}$
c.400 / $\sqrt{3m}$
d.None of These
Answer & Explanation
Answer : Option D |
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Explanation : |
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