MTH 101 CBT TEST EXAM MODE

Ace/Undergragra March 13, 2023

2 7,438 1 minute read

To Join Our Official JAMB Online Tutorial Group Click Here
Join Our Telegram Channel For Latest Updates click here
Follow us on our Facebook Page For Latest Updates Click here

Take your time to read instructions before taking this test.

There are 40 questions which you are to answer in 15 minutes that gives you roughly 30 seconds per question.

If you can get at least 60%, you can be rest assured that you’ll ace PHY 103 exam

In a normal exam you will be asked between 40 – 60 questions but I only arranged 40 questions

Note

Do not be in a hurry to answer the questions

Do not waste time on a question you don’t know

Move as fast as possible and starting with questions that don’t have calculation first to save time

Always crosscheck

Don’t be in a hurry to submit, you are not in a competition

Don’t be scared. Getting an A is easy

Don’t be over confident, you can end up a D, E or F. Calm your blood, no be only you sabi book

Please do well to use our comment box incase there’s a message you want to pass to us

70 – 100 A

60 – 69 B

50 – 59 C

45 – 49 D

40 – 44 E

0 – 39 F

I wish you success

FUOYE FRESHERS GENERAL GRP

https://chat.whatsapp.com/GmvH3J8FEfR1OeurIO0bhx

To get latest school updates

https://wa.me/message/UCYVTYIVGGQNP1

I remain your favorite education blogger

Undergragra

0 votes, 0 avg

3782

Created on March 13, 2023 By

Ace/Undergragra

MTH 101

1 / 40

Given that -2 = A(x – 1)²+ B(x – 1) (x – 2) + C(x – 2), find the value of C

A. -2

B. 1

C. -1

D. 2

2 / 40

The universal set U contains only elements of the sets A, B, C where A = {3,q,r}, B = {a,2,c} and C = {1,3,4,b}. what are the elements in [(A - B) ∩ {C – (A ∩ C)’}]

A. {q,r}

B. {3,1}

C. {3,q,r}

D. {3}

3 / 40

In a class of 100 students, 40 students study botany, 32 study microbiology while 44 study zoology. The number of students that study botany and microbiology is 24, botany and zoology is 24, while 20 study microbiology and zoology. If 20 students study all the three subjects, how many study none of the three courses.

A. 68

B. 24

C. 32

D. 42

4 / 40

What is the remainder when x³+ 3x²– 13x – 10 is divided by (x – 3)?

A. 4

B. 4 1/4

C. 5

D. 6

5 / 40

5. If P = {prime factors of 84} and Q = {prime factors of 315}, the elements of P U Q & P ∩ Q are respectively

A. {2,3,5,7} & {2,7}

B. 3,4,5,7} & {5,7}

C. {2,3,5,7} & {3,7}

D. {3,4,5,7,9 & {3,7}

6 / 40

6. Given the following series: ln , ln 2 , ln 4 , ln 8, find the 21st term

A. 20 ln x^2

B. 20^2 ln x

C. 2^20 ln x

D. 20 ln x

7 / 40

The type of sequence in which the next term differs from the preceding term by a difference is termed

A. Arithmetic Sequence

B. Infinite Series

C. Geometric Infinity

D. Geometric Sequence

8 / 40

8. The correct expression for the common difference in an A.P. is

A. Tn−Tn +1

B. Tn − Tn−1

C. T − Tn

D. Tn − Tn+2

9 / 40

Find the value of the constant k if 4x³+ kx²+ 7x – 23 has a remainder 7 when divided by 2x – 5

A. 16

B. -16

C. -8

D. 8

10 / 40

10.

The sum of the square of three positive numbers in arithmetic progression is 165. If the sum of the number is 21, find the sum of cubes of each of the numbers?

A. 1407

B. 1400

C. 104

D. 4

11 / 40

11. The common difference in the series K, K+ 3,K + 6, … .. is

A. 3

B. 2

C. -4

D. 4

12 / 40

12.

Determine the values of p & q if (x – 1) & (x + 2) are factors of 2x³+ px²– x + q

A. p = 5, q = 6

B. p = -6, q = -5

C. p = 5, q = -6

D. p = -5, q = -6

13 / 40

13.

The 6^thand 13^thterm of an A.P. are 0 and 14 respectively, find the 20^thterm

A. 28

B. 18

C. -28

D. -18

14 / 40

14.

The word “Infinity” is

A. A complex number

B. Constant

C. An integer

D. A real number

15 / 40

15.

In a class, 220 students offer Mathematics or Chemistry or both. 125 offer Mathematics and 110 offer Chemistry. How many offer Chemistry but not Mathematics?

A. 95

B. 110

C. 125

D. 80

16 / 40

16.

In the equation 5x⁴+ 9x³– 12x²– 9x + 5 = 0, find the value of x –¹/x

A. 1/2, 5

B. 5, 2

C. -1/5, 2

D. 1/5, -2

17 / 40

17.

If R = {x: x²= 16, x > 5}, then R is equal to

A. 0

B. ø

C. {0}

D. {ø}

18 / 40

18. The universal set U has subsets M and N such that M ⊆ N . The set of M ∩ (M ∩ N )'
is

A. N

B. U

C. M

D. ∅

19 / 40

19. Find the roots of the equation: 3 + 5 2 − 2 − 24

A. -4,3,2

B. 4,3,-2

C. -4,-3,-2

D. -4,-3,2

20 / 40

20. The set statement ( ∪ ) ∩ = ∪ ( ∩) is relevant to

A. Closure

B. Associative Law

C. Cumulative Law

D. Distributive Law

21 / 40

21.

The second term of an AP is four times the first term, the last term is 13 times the first term and the sum of the series is 70. Find the first three terms of the progression

A. 2,4,8

B. 2,8,14

C. 2,4,6

D. 8,12,14

22 / 40

22. If the first 3 terms of an A.P. are , 3 + 1, 7 − 4, find the 10th term of the sequence

A. 33

B. 66

C. 55

D. 44

23 / 40

23. The number of distinct elements found in a given set is called

A. Order of a set

B. Cardinality of a power set

C. Power of a cardinality

D. Power of a set

24 / 40

24. Given the universal set U = {2,3,4,5,6,7,8,9} and subsets P = {2,4,6,8} and Q = {x:x^ 2< 50,x is odd }, find (P ∩Q )'

A. U

B. {0}

C. ∅

D. {9}

25 / 40

25.

Don Mike places a sum of money on a savings account in the bank. On each succeeding birthday, he deposits two times more than on the previous birthday. His total sum of the first eleven deposits is N20,480. How much was his first deposit?

A. N12.5

B. N25

C. N10

D. N20

26 / 40

26.

The union of the set A and B denoted by A U B denoted by A U B, is the set of elements which belong to

A. neither A nor B or both

B. either A nor B nor both

C. either A or B or both

D. neither A or B nor both

27 / 40

27. Find the 8th term and the sum of the first 8 terms of the GP sequence:1/2 , −1, 2, −4, … . . ?

A. -64,45.4

B. 64,42.5

C. A. −64, −42.5

D. -64,42.5

28 / 40

28.

Determine the square of the remainder when 3x⁴– 2x³– 10x – 5 is divided by x – 4

A. 475

B. 595

C. 225625

D. 354025

29 / 40

29. Find the range of x for which 12 +x − x^2< 0

A. 3 < x < −4

B. x < −3 or x < 4

C. -3 < x< −4

D. x < 3 or x < 4

30 / 40

30.

Simplify (216)^−1⁄3 × (0.16)^−1⁄2

A. 5/12

B. 12/5

C. 12/17

D. 5/13

31 / 40

31.

A polygon has 25sides, the length of which starting from the smallest side are in AP. If the perimeter of the polygon is 1100cm, and the length of the largest side is ten times that of the smallest, find the length of the smallest side.

A. 6cm

B. 7cm

C. 8cm

D. 5cm

32 / 40

32.

The fourth term and the seventh term of an AP are in the ratio 5:8. Find the ratio of the 3^rdand 6^thterm.

A. 4:6

B. 4:5

C. 4:7

D. 6:5

33 / 40

33.

The sum of the first n terms of an AP whose difference is not zero equals half the sum of its subsequent n members. Find the ratio of the sum of the first 3n terms and the sum of the first …terms .

A. 4

B. 8

C. 3

D. 6

34 / 40

34.

If U = (Integers < 20); D = {multiples of 4}; E = {multiples of 3}, the element of D^/∩ E are

A. {3,6,9,.12,15,18}

B. {3,6,9,15,18}

C. {1,2}

D. {4,8,16,20}

35 / 40

35.

In a certain class, 22 pupils take one or more of Chemistry, Economics and Government. 12 take Economics €, 8 take Government (G) and 7 take Chemistry (C). Nobody takes Economics and Chemistry and 4 pupils take Economics and Government. How many pupils take both Chemistry and Government?

A. 3

B. 2

C. 4

D. 1

36 / 40

36.

If A is a subset of a universal set U, the compliment of set A is given as:

A. U - A

B. U

C. U - B

D. U + B

37 / 40

37. Evaluate loga256= 4

A. 3

B. 4

C. 5

D. 2

38 / 40

38.

Find the 8^thterm and the sum of the first 8 terms of the GP sequence: , −1, 2, −4, … . . ?

A. -64, 42.5

B. 64, 42.5

C. -64, 45.4

D. −64, −42.5

39 / 40

39.

In a group of 40students, 22 study Maths, 18 study physics, 14 study statistics, 9 study both Maths and Physics, 7 study both Maths and Statistics, 5 study both Physics and Statistics and 2 study all the subjects. How many study none of the subjects?

A. 7

B. 4

C. 5

D. 6

40 / 40

40. The universal set U contains only elements of the sets A, B, C where A = {3,q,r}, B = {a,2,c} and
C = {1,3,4,b}. what are the elements in [(A - B) ∩ {C – (A ∩ C)’}]

A. {3}

B. {3,q,r}

C. {3,1}

D. {q,r}

Your score is

The average score is 24%