1.

If the discount of 10% is given on the marked price of a radio, the gain is 20%. If the discount is increased to 20%, the gain per cent is :


a

5%5 \%

b

614%6 \frac{1}{4} \%

c

623%6 \frac{2}{3} \%

d

758%7 \frac{5}{8} \%


2.

If x2+y2+z2=2(x+z1)x^{2}+y^{2}+z^{2}=2(x+z-1), then the value of : x3+y3+z3=?x^{3}+y^{3}+z^{3}=?


a

2

b

0

c

–1

d

1


3.

If secθ+tanθsecθtanθ=25179\frac{\sec \theta+\tan \theta}{\sec \theta-\tan \theta}=2 \frac{51}{79} then the value of sinθ\sin \theta is


a

3972\frac{39}{72}

b

65144\frac{65}{144}

c

3572\frac{35}{72}

d

91144\frac{91}{144}


4.

If a+bc=0a+b-c=0 then the value of 2b2c2+2c2a2+2a2b22 b^{2} c^{2}+2 c^{2} a^{2}+2 a^{2} b^{2} a4b4c4-a^{4}-b^{4}-c^{4}


a

7

b

0

c

14

d

28


5.

A dealer buys an article listed at Rs. 100 and gets successive discounts of 10% and 20%. He spends 10% of the cost price on transportation. At what price should he sell the article to earn a profit of 15%?


a

90.80

b

92.00

c

91.08

d

91.20


6.

In ABC,D\triangle A B C, D and EE are two mid points of sides ABA B and AC\mathrm{AC} respectively. If BAC=40\angle \mathrm{BAC}=40^{\circ} and ABC=\angle \mathrm{ABC}= 6565^{\circ} then CED\angle \mathrm{CED} is :


a

130°

b

75°

c

125°

d

105°


7.

If x = z = 225 and y = 226 then the value of : x3 + y3 + z3 – 3xyz is


a

765

b

676

c

576

d

674


8.

If tanA+cotA=2\tan \mathrm{A}+\cot \mathrm{A}=2, then the value of tan10 A+\tan ^{10} \mathrm{~A}+ cot10 A\cot ^{10} \mathrm{~A} is


a

4

b

2

c

210

d

1


9.

If 4a4a+3=04 a-\frac{4}{a}+3=0 then the value of : a31a3+3=?a^{3}-\frac{1}{a^{3}}+3=?


a

316\frac{3}{16}

b

716\frac{7}{16}

c

2164\frac{21}{64}

d

2116\frac{21}{16}


10.

If the area of the base, height and volume of a right prism be (332)P2 cm2,1003 cm\left(\frac{3 \sqrt{3}}{2}\right) \mathrm{P}^{2} \mathrm{~cm}^{2}, 100 \sqrt{3} \mathrm{~cm} and 7200 cm37200 \mathrm{~cm}^{3} respectively, then the value of P\mathrm{P} will be


a

3\sqrt{3}

b

32\frac{3}{2}

c

23\frac{2}{\sqrt{3}}

d

4


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