Year : 
2005
Title : 
Mathematics (Core)
Exam : 
JAMB Exam

Paper 1 | Objectives

41 - 47 of 47 Questions

# Question Ans
41.

How many possible ways are there of seating seven people P,Q,R,S,T,U and V at a circular table

A. 360

B. 720

C. 2520

D. 5040

Detailed Solution

(n - 1)! = (7 - 1)!
= 6!
= 6*5*4*3*2*1
= 720 ways
42.

A box contains 5 blue balls, 3 red balls and 2 white balls. Two balls are selected from the box with replacement. Find the probability of obtaining two blue or two red balls

A. 17/50

B. 3/25

C. 1/50

D. 3/250

Detailed Solution

Blue balls = 5
Red balls = 3
White balls = 2
Total = 10
P(Two blue) = 5/10 * 5/10 = 25/100
P(Two Red) = 3/10 * 3/10 = 9/100
∴P(Two blue or two red balls)
= 25/100 + 9/100
= 34/100
= 17/50
43.

What is the probability that an integer x,(1 \(\leq\) x \(\leq\) 20) chosen at random is divisible by both 2 and 3?

A. 1/20

B. 1/3

C. 3/20

D. 7/10

Detailed Solution

U = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20}
A = {x/x is divisible by 2}
A = {2,4,6,8,10,12,14,16,18,20}
B = {x/x is divisible by 3}
A ∩ B = {6, 12, 18}
P(Number divisible by both 2 and 3)
= 3/20
44.

The diagram above is the graph of the function f(x). Determine the range of values of x for which f(x) \(\geq\) 0.

A. x \(\geq\) 2

B. 0 \(\geq\) x \(\geq\) 2

C. -2 \(\geq\) x \(\geq\) 0, x \(\leq\) 2

D. x \(\geq\) -2, 0 \(\geq\) x \(\geq\) 2

C

45.

In the diagram above, calculate the value of x.

A. 60o

B. 100o

C. 120o

D. 140o

C

46.

In the diagram above, O is the centre of the circle, If < UOT = 70o and < RST = 100o. Calculate < RUO

A. 20o

B. 25o

C. 50o

D. 80o

Detailed Solution

< OUT = < OTU

< OUT = \(\frac{180^o - 70^o}{2} = \frac{110^o}{2} = 55^o\)

< RUT = 180o - 100o = 80o

< RUO = < RUT - < OUT

= 80o - 55o

= 25o
47.

From the diagram given, find the bearing of R from S

A. 226o

B. 224o

C. 136o

D. 134o

Detailed Solution

The bearing of R from S = 180 + 44 = 224º, because
-Following the clockwise movement at 90º:
-NORTH -EAST, EAST-SOUTH, SOUTH - WEST & WEST - NORTH
- It is observed that R is situated between SOUTH - WEST poles on S
41.

How many possible ways are there of seating seven people P,Q,R,S,T,U and V at a circular table

A. 360

B. 720

C. 2520

D. 5040

Detailed Solution

(n - 1)! = (7 - 1)!
= 6!
= 6*5*4*3*2*1
= 720 ways
42.

A box contains 5 blue balls, 3 red balls and 2 white balls. Two balls are selected from the box with replacement. Find the probability of obtaining two blue or two red balls

A. 17/50

B. 3/25

C. 1/50

D. 3/250

Detailed Solution

Blue balls = 5
Red balls = 3
White balls = 2
Total = 10
P(Two blue) = 5/10 * 5/10 = 25/100
P(Two Red) = 3/10 * 3/10 = 9/100
∴P(Two blue or two red balls)
= 25/100 + 9/100
= 34/100
= 17/50
43.

What is the probability that an integer x,(1 \(\leq\) x \(\leq\) 20) chosen at random is divisible by both 2 and 3?

A. 1/20

B. 1/3

C. 3/20

D. 7/10

Detailed Solution

U = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20}
A = {x/x is divisible by 2}
A = {2,4,6,8,10,12,14,16,18,20}
B = {x/x is divisible by 3}
A ∩ B = {6, 12, 18}
P(Number divisible by both 2 and 3)
= 3/20
44.

The diagram above is the graph of the function f(x). Determine the range of values of x for which f(x) \(\geq\) 0.

A. x \(\geq\) 2

B. 0 \(\geq\) x \(\geq\) 2

C. -2 \(\geq\) x \(\geq\) 0, x \(\leq\) 2

D. x \(\geq\) -2, 0 \(\geq\) x \(\geq\) 2

C

45.

In the diagram above, calculate the value of x.

A. 60o

B. 100o

C. 120o

D. 140o

C

46.

In the diagram above, O is the centre of the circle, If < UOT = 70o and < RST = 100o. Calculate < RUO

A. 20o

B. 25o

C. 50o

D. 80o

Detailed Solution

< OUT = < OTU

< OUT = \(\frac{180^o - 70^o}{2} = \frac{110^o}{2} = 55^o\)

< RUT = 180o - 100o = 80o

< RUO = < RUT - < OUT

= 80o - 55o

= 25o
47.

From the diagram given, find the bearing of R from S

A. 226o

B. 224o

C. 136o

D. 134o

Detailed Solution

The bearing of R from S = 180 + 44 = 224º, because
-Following the clockwise movement at 90º:
-NORTH -EAST, EAST-SOUTH, SOUTH - WEST & WEST - NORTH
- It is observed that R is situated between SOUTH - WEST poles on S