Free Printable ISC 2020 ZIET BBSR 2ND SPELL POST TEST

1.

The maximum amount can be claimed for preventive health check up for self, for income tax calculation is

a)

5000

b)

3000

c)

1500

d)

none of these

2.

The only value of x for which $2^{\sin x}+2^{\cos x}\ge2^{\left(1-\frac{1}{\sqrt{2}}\right)}$ holds is

a)

$\frac{\pi}{2}$

b)

$\frac{3\pi}{4}$

c)

$\frac{5\pi}{4}$

d)

none of these

3.

If absence from head quarters is between 6hrs to 12 hrs ,then the maximum DA can be claimed for out station journey is

a)

30% of lump sum amount

b)

70% of lump sum amount

c)

100% of lump sum amount

d)

none of these

4.

The number of odd days in a century(100 years) is

a)

2

b)

3

c)

4

d)

5

5.

If p is a prime number > 3, then the remainder when $p^2$ is divided by 12 is

a)

0

b)

1

c)

2

d)

none of these

6.

How many times in a day the hand's of a clock are perpendicular to each other?

a)

20

b)

21

c)

22

d)

none of these

7.

Three squares of a chess board are selected at random. What is the probability of getting two squares of one colour and the other is of different colour?

a)

$\frac{16}{21}$

b)

$\frac{17}{21}$

c)

$\frac{19}{21}$

d)

none of these

8.

A trader has 50kg of pulses, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. What is the quantity sold at 18% profit?

a)

10kg

b)

20kg

c)

30kg

d)

none of these

9.

A, B, C enter into partnership by investing Rs.1200, Rs.1400 and R.1000 for 4 months, 8 months and 10 months respectively. If they gain Rs.585, What is the share of profit for A?

a)

58

b)

78

c)

108

d)

none of these

10.

In how many ways two small squares can be selected in a chess board if they are not in same row and same column?

a)

1568

b)

1468

c)

1368

d)

none of these

11.

In how many ways 5 distinct objects can be put into two identical boxes, so that no box remains empty?

a)

14

b)

15

c)

16

d)

none of these

12.

In an acute angle triangle ABC, the minimum value of

tanA + tanB + tanC is

a)

$\sqrt{3}$

b)

$2\sqrt{3}$

c)

$3\sqrt{3}$

d)

none of these

13.

Given p = 5, q = 7 and the public key = 5, the encoded message of "9" in RSA algorithm is

a)

4

b)

35

c)

24

d)

none of these

14.

The value of

\frac{1}{2\ }\log9\ +\frac{1}{4}\log81\ +2\log6\ -\log2

is

a)

9

b)

27

c)

81

d)

none of these

15.

Find the amount of an ordinary annuity of Rs. 1000 payable at the end of each year for 3 years at 10% per year compounded annually?

a)

3310

b)

3210

c)

3110

d)

none of these

16.

When all the numbers between 0 and 32 in a range should be displayed in red colour, apply

a)

Use =IF() function to format the required numbers red

b)

apply conditional formatting command on Home menu

c)

select the cells that contain numbers between 0 and 32 and then click red colour on text colour tool

d)

all the above

17.

The value of the binary product

11010 x 111

in decimal number system is

a)

182

b)

178

c)

167

d)

none of these

18.

$\int_{ }^{ }\ \frac{e^x\left(1+x\right)}{\sin^2\left(xe^x\right)}dx$ is

a)

$\log\left|\operatorname{cosec}\left(xe^x\right)+\cot\left(xe^x\right)\right|+c$

b)

$\log\left|\sec\left(xe^x\right)+\tan\left(xe^x\right)\right|+c$

c)

$-\cot\left(xe^x\right)+c$

d)

none of these

19.

The argument of the complex number $\frac{i-1}{\cos\ \frac{\pi}{3}\ +\ i\ \sin\ \frac{\pi}{3}}\$ is

a)

$\frac{5\pi}{6}$

b)

$\frac{5\pi}{12}$

c)

$\frac{\pi}{12}$

d)

none of these

20.

What is the angle between any two diagonals of a cube?

a)

$\cos^{-1}\left(\frac{1}{\sqrt{3}}\right)$

b)

$\cos^{-1}\left(\frac{1}{3}\right)$

c)

$\cos^{-1}\left(\frac{2}{3}\right)$

d)

none of these

ISC 2020 ZIET BBSR 2ND SPELL POST TEST

Total questions: 20

Worksheet time: 2hrs 40mins

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