1.

The value of 19.36+0.1936+0.001936\sqrt{19.36}+\sqrt{0.1936}+\sqrt{0.001936} +0.00001936+\sqrt{0.00001936} is :


a

4.8484

b

4.8694

c

4.8884

d

4.8234


2.

1980 is divided among A, B and C so that half of A’s part, one-third of B’s part and one-sixth of C’s part are equal. Then B’s part is


a

540

b

660

c

1,080

d

360


3.

A godown is 15 m long and 12 m broad. The sum of the areas of the floor and the ceiling is equal to the sum of areas of the four walls. The volume (in m3) of the godown is:


a

900

b

1200

c

1800

d

720


4.

If the square of the sum of two numbers is equal to 4 times of their product, then the ratio of these numbers is :


a

2 : 1

b

1 : 3

c

1 : 1

d

1 : 2


5.

If cosecθcotθ=72\operatorname{cosec} \theta-\cot \theta=\frac{7}{2}, the value of cosecθ\operatorname{cosec} \theta is :


a

4728\frac{47}{28}

b

5128\frac{51}{28}

c

5328\frac{53}{28}

d

4928\frac{49}{28}


6.

A shopkeeper marked the selling price of his goods in such a way that after giving a discount of 10% he gains 17%. How much per cent above the cost price is the marked price?


a

36%

b

27%

c

30%

d

40%


7.

An article was sold at 16% gain. Had it been sold for 200 more, the gain would have been 20%. Then the cost price of the article is :


a

5000

b

4800

c

4500

d

5200


8.

If x=323+2x=\frac{\sqrt{3}-\sqrt{2}}{\sqrt{3}+\sqrt{2}} and y=3+232y=\frac{\sqrt{3}+\sqrt{2}}{\sqrt{3}-\sqrt{2}}, then the value of x3+y3x^{3}+y^{3} is :


a

950

b

730

c

650

d

970


9.

The distance between the lines y=mx+c1y=m x+c_{1} and yy =mx+c2=m x+c_{2} is


a

c1c2m2+1\frac{c_{1}-c_{2}}{\sqrt{m^{2}+1}}

b

c1c21+m2\left|\frac{c_{1}-c_{2}}{\sqrt{1+m^{2}}}\right|

c

c2c11+m2\frac{c_{2}-c_{1}}{\sqrt{1+m^{2}}}

d

0


10.

A man ordered 4 pairs of black socks and some pairs of brown socks. The price of a black socks is double that of a brown pair. While preparing the bill the clerk interchanged the number of black and brown pairs by mistake which increased the bill by 50%. The ratio of the number of black and brown pairs of socks in the original order was :


a

2 : 1

b

1 : 4

c

1 : 2

d

4 : 1


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