class 11 maths

The marks obtained by a student of Class XI in first and second terminal examination are 62 and 48, respectively. Find the minimum marks he should get in the annual examination to have an average of at least 60 marks.

• (a) 50

• (b) 60

• (c) 70

• d) 80

Let n A m ( ) = and n B n ( ) = .

Then, the total number of non-empty relations that can be defined from A to B is

• 2^(n*n)
• 2^n
• m^n

• 2^(mn) - 1

If digits 3 and 4 come together, then number of ways to find mobile number (when repetition is not allowed), is

• 220

• 300

• 240

• 200

Let a complex number z, |z| ≠ 1, satisfy log_1/√2 [(|z| + 11) / (|z| – 1)²] ≤ 2.

Then, the largest value of |z| is equal to

• 4
• 6

• 2
• 7

Let a relation R be defined by R = {(4, 5); (1, 4); (4, 6); (7, 6); (3, 7)} then R⁻¹ o R is ________.

• {(1, 1); (4, 4); (4, 7); (4,9), (7, 7); (3, 3)}.

• {(2,2); (4, 4); (4, 7); (7, 4), (7, 7); (3, 3)}.

• {(1, 1); (4, 4); (4, 7); (7, 4), (7, 7); (3, 3)}.

• {(1, 1); (11,13); (4, 7); (7, 4), (7, 7); (3, 3)}.

3g of activated charcoal was added to 50 mL of acetic acid solution (0.06N) in a flask. After an hour it was filtered and the strength of the filtrate was found to be 0.042 N. The amount of acetic acid adsorbed (per gram of charcoal) is :

• 18mg

• 16mg

• 36mg

• 30mg

The compound of Xenon with zero dipole moment is :

• (1)XeO₃

• (2) XeO₂

• (3) XeF₄

• (4) XeOF₄

In the hydroboration – oxidation reaction of propene with diborane, H₂O₂ and NaOH, the organic compound formed is :

• (1) CH₃CH₂CH₂OH

• ( 2) (CH₃)₃COH

• (3) CH₃CHOHCH₃

• (4) CH₃CH₂OH

A passenger train of length 60 m travels at a speed of 80 km/hr. Another freight train of length 120 m travels at a speed of 30 km/hr. The ratio of times taken by the passenger train to completely cross the freight train when: (i) they are moving in the same direction, and (ii) in the opposite direction, is

• (a) 25/11

• (b) 3/2

• (c) 5/2

• (d) 11/5

A river is flowing from west to east at a speed of 5 metres per minute. A man on the south bank of the river, capable of swimming at 10 metres per minute in still water, wants to swim across the river in the shortest time. He should swim in a direction.

• 1. due north

• 1. 30° east of north

• 1. 30° west of north

• 1. 60° east of north