1.


If N=(65)(6+5)mathrm{N}=frac{(sqrt{6}-sqrt{5})}{(sqrt{6}+sqrt{5})}, then what is the value of N+mathrm{N}+

(1N)?left(frac{1}{N} ight) ?


a

10

b

11

c

12

d

22


2.

In ABC,BAC=90 riangle mathrm{ABC}, angle mathrm{BAC}=90^{circ} and AB=12BCmathrm{AB}=frac{1}{2} mathrm{BC}. Then the measure of ACBangle A C B is :


a

45°

b

30°

c

15°

d

60°


3.

If a = 23 and b = –29 then the value of 25a2+ 40ab + 16b2 is :


a

2

b

1

c

0

d

–1


4.

What is the value of tan(π4+x) an left(frac{pi}{4}+x ight) ?


a

1+cotx1cotxfrac{1+cot x}{1-cot x}

b

1+tanx1tanxfrac{1+ an x}{1- an x}

c

1tanx1+tanxfrac{1- an x}{1+ an x}

d

1cotx1+cotxfrac{1-cot x}{1+cot x}


5.

What is the simplified value of (3 + 1) (32 + 1) (34 + 1) (38 + 1) (316 + 1) ?


a

(3321)2frac{left(3^{32}-1 ight)}{2}

b

(3641)2frac{left(3^{64}-1 ight)}{2}

c

(31281)2frac{left(3^{128}-1 ight)}{2}

d

(3161)2frac{left(3^{16}-1 ight)}{2}


6.

Chord AB of a circle when extended meets the tangent to the circle at point P. PT is the tangent touching the circle at point T. If lengths of PT and PB are 6 cm. and 4 cm. respectively, what is the length of PA?


a

9 cm

b

18 cm

c

12 cm.

d

27 cm


7.

If 0 2  x  S and secx = cosecy, then the value of sin (x+y) is :


a

0

b

1

c

12frac{1}{2}

d

13frac{1}{sqrt{3}}


8.

A student multiplied a number by 45frac{4}{5} instead of 54frac{5}{4}. What is the percentage error in the calculation?


a

36 per cent

b

56.25 per cent

c

28.13 per cent

d

18 per cent


9.

A vendor buys chikoos at 15 for 8 and then sells at 10 for 6. What will be the result?


a

12.5 per cent loss

b

12.5 per cent gain

c

11.1 per cent loss

d

11.11 per cent gain


10.

The length of the chord of a circle is 8 cm and perpendicular distance between centre and the chord is 3 cm. Then the radius of the circle is equal to


a

8 cm

b

6 cm

c

5 cm

d

4 cm


11.

Ruchir walks at 20 km./hr. and Rukma cycles at 25 km./hr. towards each other. What was the distance between them when they started if they meet after 48 minutes?


a

45 km

b

54 km.

c

27 km

d

36 km


12.

If A : B is 2 : 3, B : C is 6 : 11, then A : B : C is


a

2 : 3 : 11

b

4 : 6 : 22

c

4 : 6 : 11

d

2 : 6 : 11


13.

What is the value of (0.5)3(0.1)3(0.5)2+0.5×0.1+(0.1)2?frac{(0.5)^{3}-(0.1)^{3}}{(0.5)^{2}+0.5 imes 0.1+(0.1)^{2}} ?


a

0.5

b

0.6

c

0.4

d

0.1


14.

If x1x=5x-frac{1}{x}=5, then x2+1x2x^{2}+frac{1}{x^{2}} is :


a

23

b

5

c

25

d

27


15.

How many positive factors of 36 are there ?


a

4

b

6

c

12

d

9


16.

What is the equation of line which has y-intercept 2 and is inclined at 60° to the x-axis. js


a

y=x3y=x-sqrt{3}

b

y=3x+2y=sqrt{3} x+2

c

y=x+23y=x+2 sqrt{3}

d

y=3x+2y=-sqrt{3} x+2


17.

The allowances of an empolyee constitute 165% of his basic pay. If he receives 11925 as gross salary, then his basic pay is (in )


a

5000

b

4500

c

5500

d

4000


18.

Which value among 11+5,14+2,8sqrt{11}+sqrt{5}, sqrt{14}+sqrt{2}, sqrt{8} +8+sqrt{8} is the largest ?


a

All are equal

b

8+8sqrt{8}+sqrt{8}

c

14+2sqrt{14}+sqrt{2}

d

11+5sqrt{11}+sqrt{5}


19.

The value of tan1°tan2° tan3°....... tan89° is : tan 1° tan 2° tan 3° ...... tan 89°


a

0

b

1

c

3sqrt{3}

d

13frac{1}{sqrt{3}}


20.

In the first 32 overs of a cricket match, the run rate was 7.2 runs/over. What is the required run rate in the remaining 18 overs to reach the target of 297 runs?


a

3.7

b

4.9

c

4.3

d

3.1


21.

In the given figure which prove the selling of cars in the year of 2015-2016


If number of cars sold of model C are 22000, then what will be the difference in the number of cars sold of models A and B ?


a

1500

b

1200

c

1000

d

800


22.

If the number of cars sold of model D is 40500, then how many more cars of model E are sold than that of A ?


a

16200

b

24300

c

13500

d

8100


23.

If the number of cars sold of model D is 40500, what is the ratio between the number of cars sold of models D and E ?


a

9 : 7

b

11 : 9

c

9 : 5

d

6 : 5


24.

If the number of cars sold of model D is 72900, then what is the total number of cars sold of all the models together by the company ?


a

214160

b

208100

c

291600

d

162000


25.

If 5% of the total number of cars sold of model E is 750, then what is the average number of cars sold of all the models ?


a

15000

b

14000

c

14400

d

16800


Rate This:
NaN / 5 - 1 votes