Wednesday, 17 May 2017

JAMB ANSWERS 17TH MAY

MATHS 7AM

Question

1 :- Integrate sin (2x + 1) with respect x 

CORRECT ANSWER = -1/2 COS (2X+1)+C

2 :- From the diagram above, determine the distance between the points P and Q 

CORRECT ANSWER = D =SQUARE ROOT 34 UNITS

3 :- If A = [1,2,1 -1,0,4 0,1,3], evaluate |A| 

CORRECT ANSWER = 1

4 :- Find interior angles of a regular polygon having 10 sides 

CORRECT ANSWER = 144 DECREE

5 :- The letters in the word INTERNATIONAL are cut out and put into a basket. A letter is chosen at random What is the probability that it is N or A or I or T 

CORRECT ANSWER = 8/13

6 :- Convert 11101 base 3 to base 10 

CORRECT ANSWER = 118

7 :- Evaluate without using tables tan 60 degree tan 30 degree / tan 45 degree 

CORRECT ANSWER = 1

8 :- From the above figure, the equation of the locus is 

CORRECT ANSWER = X RAISE TO POWER 2 = Y RAISE TO POWER 2 =36

9 :- Given that energy E varies directly as resistance R and inversely as square of distance d, obtain an equation connecting E,R and d 

CORRECT ANSWER = E =KR/D RAISE TO POWER 2

10 :- Find the solution sets of the inequality x power 2 - x - 6 < 0 

CORRECT ANSWER = -2

11 :- If M = {all perfect squares less than 40} and N = {all odd numbers from 1 to 10}, Find M n N 

CORRECT ANSWER = {1,9}

12 :- Given that P = {x Z | -3 < x < or = 10} and Q = {x Z| -5< or = x < 6}, find P = Q? 

CORRECT ANSWER = 6 < or = x < or = 10

13 :- The mean of 3 + 2y, -y, 2y - 1, y + 1 and y + 1 and y + 2 is 

CORRECT ANSWER = 1 + y

14 :- Find the total number of possible arrangement of the letters of the word DOCUMENT 

CORRECT ANSWER = 40320

15 :- Determine

CORRECT ANSWER = 85 degree

16 :- The length of an arc of a circle is 5 pie / 3 Calculate the angle substended at the centre if the radius is 20cm 

CORRECT ANSWER = 15 degree

17 :- Solve for x in the equation 3x +3x1 - x = 3 power 4 

CORRECT ANSWER = 0,1

18 :- The equation of the line perpendicular to 4x - 3y +7 = 0 which passes through the origin is 

CORRECT ANSWER = 4y + 3x = 0

19 :- Given that y x power 2, If y = 10 when x = 3, find the value of y when x = 1/2. 

CORRECT ANSWER = 5/18

20 :- The table above shows the number of students who obtained different marks out of 10, calculate the mean of the distribution 

CORRECT ANSWER = 4.5

21 :- Simplify 4x power 3 y x (3xy) power 3 

CORRECT ANSWER = 4x/9y

22 :- Find the range of the following data: 1,7,2,3,10,8 and 5 

CORRECT ANSWER = 9

23 :- The pie chart above shows the budget allocation of a Local Government Council N53,100,000.00 is allocated to Agriculture, what is the budget for the council 

CORRECT ANSWER = 216,000,000

24 :- If x * y = xy + x + y, solve the equation x * 3 = 19 

CORRECT ANSWER = 4

25 :- Differentiate y = x power 2 - 4x + 5 

CORRECT ANSWER = 2x - 4

26 :- Given 9,27,81? find the sum of the first 5 term 

CORRECT ANSWER = 1089

27 :- From the figure above, the area of shaded portion is 

CORRECT ANSWER = Negative

28 :- A shopkeeper sold 1/6 of a packet of chocolate to Mrs Pedro and 1/2 of the remainder to Mrs Buhari. What fraction was sold to Mrs Buhari 

CORRECT ANSWER = 5/12

29 :- Out of 5 masters and 4 boys a committee of 6 is to chosen. In how many ways can it be done when there are 3 masters on the committee? 

CORRECT ANSWER = 40

30 :- If the determinant of [-4,p 5,7] is 2, find p 

CORRECT ANSWER = -6

31 :- The fourth term of an Arithmetic Progression is 37 and 6th term is 12 more than the fourth term. Find the common difference 

CORRECT ANSWER = 6

32 :- A boy 70cm tall was standing 100cm away from the foot of a tree. If the angle of elevation of the tree from the boy is 45 degree, calculate the height 

CORRECT ANSWER = 

33 :- Find the reminder when 4x power 3 - 8x + 1 is divided by 2x + 1 

CORRECT ANSWER = 3/2

34 :- How much will N25,000.00 amount to at 8% simple interest over 10 years? 

CORRECT ANSWER = N45,000

35 :- Factorize 2x power 2 - 3x - 5 

CORRECT ANSWER = (x + 1) (2x - 5)

36 :- Express the square of 110 base 2 in binary 

CORRECT ANSWER = (100100) base 2

37 :- If (3x - 1) is a factor of 9x power 4 - kx power 3 + 3x -1, find the value of K 

CORRECT ANSWER = 1

38 :- Find the value of 

CORRECT ANSWER = 

39 :- Evaluate 0.0003/0.0024 leaving your answer in standard form 

CORRECT ANSWER = 1.25 x 10 power -1

40 :- WXYZ is a cyclic quadrilateral and the diagonals WY and XZ intersect at G. If

CORRECT ANSWER = 28 degree

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CHEMISTRY - 17th May 7am1 :- liquid nitrogen can be used asCORRECT ANSWER =rocket fuel2 :- what volume of oxygen at stp is required to burn 60g of carbon completelyCORRECT ANSWER =112.0DM33 :- when a crystal was added to its solution no further dissolution was observed.this showed that thesolution wasCORRECT ANSWER =saturated4 :- which of the following statement is peculiar to isotopesCORRECT ANSWER =they have different numbers of electrons5 :- in the reaction above the oxidizing agent isCORRECT ANSWER =2KI6 :- the diagram above representsCORRECT ANSWER =p orbital7 :- tin can be extracted fromCORRECT ANSWER =ethanol8 :- the alkanol obtained from the destrurctive distillation of wood isCORRECT ANSWER =297.3cm9 :- when magnesium reacts with tetraoxosulphate(VI)acid 312cm3 of hydrogen gas was was collected at28C and 750mmhg.calculate the volume of hydrogen gas at stpCORRECT ANSWER =10 :- the basicity of CH3COOH isCORRECT ANSWER =111 :- when a compound Q with molecular formula C2H4O2 reacts with excess methanol in the presence ofa catalyst, a sweet smelling substance is produced.the structural formula of Q is CORRECT ANSWER =12 :- how many faraday will be needed to deposit 9.6g of copper during the electrolysis of a solution of acopper saltCORRECT ANSWER =0.3F13 :- the derivative of methane that can be employed in dry cleaning isCORRECT ANSWER =Ccl414 :- the metal used in the construction of bridges isCORRECT ANSWER =iron15 :- when a compound Q with molecular formula C2H4O2 reacts with excess methanol in the presence ofa catalyst, a sweet smelling substance is produced.the reaction between Q and methanol isCORRECT ANSWER =esterification16 :- the alkali majorly used for making liquid soap isCORRECT ANSWER =CALCIUM HYDROXIDE17 :- in electrolplating iron with zinc the cathode is iron becauseCORRECT ANSWER =zn2+ will be discharged and deposited at the cathode18 :- which of the following is likely to be responsible for flavor of fruits and smell of flowers?CORRECT ANSWER =CH3COOCH319 :- the main product formed when excess acidified K2CR2O7 reacts with propan-1-ol isCORRECT ANSWER =propanoic acid20 :- calculate the pH of 0.001mol/dm3 HCL?CORRECT ANSWER =321 :- "plaster of paris" is composed ofCORRECT ANSWER =crystallization22 :- the seperation technique that improves on the purity of a compound isCORRECT ANSWER =23 :- an example of naturally distilled water isCORRECT ANSWER =spring water24 :- when elements 12X and 7Y combine chemically the formula of the compound formedCORRECT ANSWER =XY225 :- the dehydration of ethanol producesCORRECT ANSWER =ethene26 :- in the diagram above what point indicates the end of a chemical reaction?CORRECT ANSWER =R27 :- the oxygen in the atmosphere is kept fairly constant by the process ofCORRECT ANSWER =aeration28 :- elements belonging to the same group in the periodic table which exist as diatomic molecules and aregood oxidizing agents are referred to asCORRECT ANSWER =halogen29 :- the mixture of gases used by divers is oxygen andCORRECT ANSWER =>O30 :- in the endothermic reaction which involves the loss in entropy the value of change in G will beCORRECT ANSWER =31 :- at what temperature is the solubility of J and M are the sameCORRECT ANSWER =28 degrees32 :- the proces in which alkanes are converted to branched and cyclic hydrocarbons isCORRECT ANSWER =cracking33 :- if 0.5moles of a monoalkanoic acid weighhed 44g,determine the moleular formulaCORRECT ANSWER =C3H7COOH34 :- CH3C(CH3)2CH2CL ISCORRECT ANSWER =1-chloro-2,2-dimethylpropane35 :- THE MAXIMUM NUMBER OF ELECTRONS THAT CAN BE ACCOMODATED IN THESHELL HAVINGBTHE PRINCIPAL QUANTUM NUMBER 4 ISCORRECT ANSWER =3236 :- which of the following reactions will be feasible in water ?CORRECT ANSWER =Ca+2H2O----->Ca(OH)2+H237 :- the pollutant released in a large quantity from motor vehicle exhaust isCORRECT ANSWER =CARBON(II)OXIDE38 :- in the reaction above the equilibrium constant isCORRECT ANSWER =[NH3]2/[N2][H2]339 :- the substance that rekindles a glowing splinter like oxygen isCORRECT ANSWER =N2O40 :- alkali are not usually stored in aluminium containers because aluminium is

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