EXERCISE 4 (OBJECTIVE TYPE QUESTIONS in 191 220)

191.   If X² - 1/X + 1 =4, X=?

a)      0

b)      1

c)       5

d)      Cannot be determined

e)      None of these

192.       (3  2/3)² - (2  1/2)²          +      3  2/3  -  2  1/2

                               (4  3/4)² - (3  1/3)²                   4  3/4 - 3  1/3   

                          =?

a)      37/97

b)      74/97

c)       1  23/74

d)      None of these

193.       The simplified value of

 (1 + 1/ 1+ 1/100) (1 + 1/ 1+ 1/100) – (1 - 1/  1+1/100) (1 – 1/  1+ 1/100)

                                               (1 + 1/ 1+ 1/100) + ( 1-  1/1+ 1/100)

a)      100

b)      200/101

c)       200

d)      202/100

194.       If a+ b + c = 13, a² + b² + c² = 69, then find ab + bc + ca.

a)      – 50

b)      50

c)       69

d)      75

195.       If  X² + Y² + Z² – 64 / XY – YZ – ZX  = -2 and X + Y = 3z, then the value of z is:

a)      2

b)       3

c)       4

d)      None of  these

196.       (785 x 785 x 785 + 435 x 435 x 435)/785 x 785 + 435 -785 x 435) simplifies to:

a)      350

b)      785

c)       1220

d)      1320

197.       (147 x 147 + 147 x 143 + 143x 143/147 x 147 x 147 – 143 x 143 x143) =?

a)      ¼

b)      290

c)       1/290

d)      4

198.       (13)³ + 7³/(13)² + 7² - ? = 20

a)      6

b)      20

c)       91

d)      None of these

199.       The value of (3/5) ³ - (2/5)³/(3/5)² - (2/5)² is:

a)      1/5

b)      19/25

c)       21/25

d)      1

200.        38 x 38 x 38 + 34 x 34 x 34 + 28 x 28x 28 – 38 x 34 x 84

                             38 x 38 + 34 x 34 + 28 x 28 – 38 x 34 – 34 x 28 – 38 x 28    is equal to:

a)      24

b)      32

c)       44

d)      100

ANSWERS

191.C

192.B

193.B

194.B

195.C

196.C

197.A

198.C

199.B

200.D