1. Change 71base10 to base 8
A. 107 base 8 ✔️
B. 106 base 8
C. 71 base 8
D. 17 base 8
SOLUTION
8|71
8|8 REM 7
8|1 REM 0
8|0 REM 1
ANSWER = 107 base 8 (A)
2. If N225.00 yields N 27.00 in x years simple interest at the rate of 4% per annum , find X
A. 3✔️
B. 4
C. 12
D. 17
SOLUTION
Principal = N225.00
Interest = N 27.00
Year = X
Rate = 4%
S.I = PTR / 100
27 = 225 × 4 × X / 100
T (years) = 3yrs
3. Calculate the standard deviation of the following data :
7,8,9,10,11,12,13.
A. 2✔️
B. 4
C. 10
D. 11
SOLUTION
Firstly find X , hence X = ( £x / N )
Ex = 7+8+9+10+11+12+13 = 70
N = 7
.°. X = 70/7 = 10
x | x – x | (x – x )²
7| -3 | 9
8| -2 | 4
9| -1 | 1
10| 0 | 1
11| 1 | 1
12| 2 | 4
13| 3 | 9
S.D = ( √£(×-×)²/N ) Note square root applies for both numerator and denominator.
= ( √£d²/N ) = √28/7 = √ 4 = 2 (A)
4. If y = 3t³ + 2t² – 7t + 3 , find dy/dt at t = -1
A. -1
B. 1
C. -2 ✔️
D. 2
SOLUTION
dy/dt = 9t² + 4t – 7
When t = -1
dy/dt = 9(-1)² + 4(-1) – 7
= 9 – 4 – 7 = -2 (C)
5. A man wishes to keep some money in a savings deposit at 25% compound interest so that after 3 years he can buy a car of #150,000 . How much does he need to deposit now ?
A. #76800.00✔️
B. #85714.28
C. # 96000.00
D. # 112000.50
SOLUTION
A =#150,000
r = 25%
n = 3
Remember A = P ( 1 + r/100)^n
150,000 = P ( 1 + 0.25 ) ³
150,000 = P (1.25)³
P = 150,000 / 1.25³ = #76800.00(A)
6. A trader bought goats for #4000 each. He sold them for #180,000 at a loss of 25%. How many goats did he buy ?
A. 50
B. 60✔️
C. 36
D. 45
SOLUTION
Loss % = c.p – s.p / c.p × 100%
25 = c.p – 180,000 / c.p × 100
25 = 100 ( c.p – 180,000 ) / c.p
25 = 100cp – 18,000,000 / cp
Cross multiply
25cp = 100cp – 18,000,000
18,000,000 = 100cp – 25cp
18,000,000 = 75cp
C.P = #240,000
Number of goats = 240,000 / 4000 = 60 (B)
7. The range of the data K+2 , k-3 , k+4 , k-2, k-5 , k+3 , k-1 and k+6 is
A. 11✔️
B. 10
C. 8
D. 6
SOLUTION
RANGE = highest – lowest
( K + 6 ) – ( K – 5 )
K + 6 – k + 5 = 11 (A)
8. What is the area between two concentric circles of diameters 26cm and 20cm ?
A. 100π
B. 169π
C. 69π✔️
D. 9π
E. 269π
SOLUTION
Area between two concentric circles is πR² – πr²
π(13² – 10²) = 69π (C)
9. Find the sum to infinity of the following series 3 + 2 + 4/3 + 8/9 + 16/27 + ________
A. 1270
B. 190
C. 18
D. 9✔️
SOLUTION
3 + 2 + 4/3 + 8/9 + 16/27
a = 3 , r = 2/3 ,
S∞ = a / 1 – r
= 3/1-2/3 = 9(D)
10. The derivative of cosec x is
A. tan x cosec x
B. – cot x cosec x✔️
C. tan x sec x
D. – cot x sec x
11. If y = ( 1 + x )² , find dy/dx
A. -1
B. 2 + 2x✔️
C. 1 + 2x
D. 2x – 1
SOLUTION
If y = ( 1 + x )²
dy/dx = 2( 1 + x )
= 2 + 2x (B)
12. Which mathematics Question paper type is given to you ?
A. Type A
B. Type B
C. Type C
D. Type D ✔️
13. At what rate will the interest on #400 increase to #24 in 3years reckoning in simple interest?
A. 3%
B. 2%✔️
C. 5%
D. 4%
SOLUTION
S.I = PTR / 100 where
P denotes principal = #400
T denotes time = 3years
R denotes Rate = ?
24 = 400×3×R / 100
24×100 = 400×3×R
R = 2% (B)
14. If x*y = x + y² , find the value of ( 2*3 )*5
A. 25
B. 11
C. 55
D. 36✔️
SOLUTION
(2*3)*5 = (2+3²)*5
= (2+9)*5 = 11*5
Hence 11*5 = 11+5² = 11+25 = 36(D)
15. Simplify ( √6 + 2 )² ( √6 – 2 )²
A. 2√6
B. 4√6
C. 8√6✔️
D. 16√6
SOLUTION
( √6 + 2 )² (√6 – 2 )²
(√6 + 2 + √6 – 2 ) ( √6 + 2 -√6 + 2 )
(2√6 ) (4) = 8√6 (C)
Start your New financial Saving Plan for the year 2023 We have 365 days, 53…
APPLICATION FOR THE UNIVERSITY OF MEDICAL SCIENCES, ONDO CITY IS ON Requirements: 1. CV: This…
Federal government recruitment application form for all ministries The federal government has come up with…
Step-by-step guides on how to apply and get a scholarship In my previous post, I…
NIGER STATE SCHOLARSHIP 2022 The Niger State Government has created an opportunity for its indigene…
SCHOOL OF POST BASIC NURSING, OCCUPATIONAL HEALTH UCH IBADAN. The School of Post Basic Nursing,…