Year : 
2015
Title : 
Mathematics (Core)
Exam : 
JAMB Exam

Paper 1 | Objectives

51 - 60 of 62 Questions

# Question Ans
51.

Calculate the value of x and y if (27x ÷ 81x+2y = 9 ,x + 4y = 0

A. x = 1, y = 1/2

B. x = 2, y = – 1/2

C. x − 0, y = 1

D. x = 2, y = –1

Detailed Solution

There is an explanation video available below.
52.

Simplify √30 × √40

A. 10 √3

B. 5 √3

C. 20 √3

D. 15 √3

Detailed Solution

There is an explanation video available below.
53.

If √ (2x + 2) − √x =1 ,find x.

A. x = 1 twice

B. x = 0 or 1

C. x = 3 or 1

D. x = 2 twice

Detailed Solution

There is an explanation video available below.
54.

The sum of two numbers is 5; their product is -14. Find the numbers.

A. x = 5 or 1

B. x = 7 or 1

C. x = 7 or 0

D. x = 7 or − 2

Detailed Solution

Let x represent the first number;

Then, the other is (5 − x) , since their sum is 5 and their product is 14

x(5 − x) = 14

5x − x2 = 14

x2 − 5x − 14 = 0

(x2 − 7x) + (2x − 14) = 0

x(x − 7) + 2(x − 7) = 0

(x − 7)(x + 2) = 0

Either (x − 7) = 0 or (x + 2) = 0

x = 7 or x = − 2

The two numbers are 7 and − 2
There is an explanation video available
55.

Solve the equation
\( 5^{(x − 2)} = (1 ÷ 125)^{(x +3)}\)

A. 3/2

B. − 7/4

C. 4/7

D. 7/4

Detailed Solution

There is an explanation video available below.
56.

How many sides has a regular polygon whose interior angles are 120°each

A. 4

B. 5

C. 6

D. 3

Detailed Solution

There is an explanation video available below.
57.

If duty is levied at 25%, find the duty to be added to a bill of N80.

A. N100

B. N20

C. N80

D. N150

Detailed Solution

There is an explanation video available below.
58.

Simplify 2.04 × 3.7 (Leave your answer in 2 decimal place)

A. 7.51

B. 7.71

C. 5.5

D. 7.55

Detailed Solution

There is an explanation video available below.
59.

A public car dealer marked up the cost of a car at 30% in an attempt to make 20% gross profit. Due to the value of dollar, he now placed 20% discount on the car. What profit or loss will he make?

A. 3%

B. 2%

C. 4%

D. 1%

Detailed Solution

There is an explanation video available below.
60.

Rationalize 5 ÷ (2 − √3)

A. 3(2 + √5)

B. 2(3 + √5)

C. 5(2 + √3)

D. 3 √2 + 1

Detailed Solution

There is an explanation video available below.
51.

Calculate the value of x and y if (27x ÷ 81x+2y = 9 ,x + 4y = 0

A. x = 1, y = 1/2

B. x = 2, y = – 1/2

C. x − 0, y = 1

D. x = 2, y = –1

Detailed Solution

There is an explanation video available below.
52.

Simplify √30 × √40

A. 10 √3

B. 5 √3

C. 20 √3

D. 15 √3

Detailed Solution

There is an explanation video available below.
53.

If √ (2x + 2) − √x =1 ,find x.

A. x = 1 twice

B. x = 0 or 1

C. x = 3 or 1

D. x = 2 twice

Detailed Solution

There is an explanation video available below.
54.

The sum of two numbers is 5; their product is -14. Find the numbers.

A. x = 5 or 1

B. x = 7 or 1

C. x = 7 or 0

D. x = 7 or − 2

Detailed Solution

Let x represent the first number;

Then, the other is (5 − x) , since their sum is 5 and their product is 14

x(5 − x) = 14

5x − x2 = 14

x2 − 5x − 14 = 0

(x2 − 7x) + (2x − 14) = 0

x(x − 7) + 2(x − 7) = 0

(x − 7)(x + 2) = 0

Either (x − 7) = 0 or (x + 2) = 0

x = 7 or x = − 2

The two numbers are 7 and − 2
There is an explanation video available
55.

Solve the equation
\( 5^{(x − 2)} = (1 ÷ 125)^{(x +3)}\)

A. 3/2

B. − 7/4

C. 4/7

D. 7/4

Detailed Solution

There is an explanation video available below.
56.

How many sides has a regular polygon whose interior angles are 120°each

A. 4

B. 5

C. 6

D. 3

Detailed Solution

There is an explanation video available below.
57.

If duty is levied at 25%, find the duty to be added to a bill of N80.

A. N100

B. N20

C. N80

D. N150

Detailed Solution

There is an explanation video available below.
58.

Simplify 2.04 × 3.7 (Leave your answer in 2 decimal place)

A. 7.51

B. 7.71

C. 5.5

D. 7.55

Detailed Solution

There is an explanation video available below.
59.

A public car dealer marked up the cost of a car at 30% in an attempt to make 20% gross profit. Due to the value of dollar, he now placed 20% discount on the car. What profit or loss will he make?

A. 3%

B. 2%

C. 4%

D. 1%

Detailed Solution

There is an explanation video available below.
60.

Rationalize 5 ÷ (2 − √3)

A. 3(2 + √5)

B. 2(3 + √5)

C. 5(2 + √3)

D. 3 √2 + 1

Detailed Solution

There is an explanation video available below.