Rte-m1 Algebra & Trigonometry

7/21/2019 Rte-m1 Algebra & Trigonometry

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RTE-MI: AJ.gebra & Trigonomdtry1. Three numbers are in A.p. such that the sum of the first and

third is 12 and the product of the first and second is 24. Findthe largest of the three numbers.

2. ln a potato race, 8 potatoes are placed 6 feet apail on astraight line, the first being 6 ft frorn the basket. A iontestanistarts from the basket and puts one potato at a time into thebasket. Find the total distance he must run in order to finistr

4.4 8.8 c.6

c.342fl

D.10

D.222ff.

ftid m if sre of the

D- t2,-18

iB. 432 ft1"-

3. Find the sum of the first 100 positive integers exacfly divisibrebv .7.A.35,350 8.2,053 c.53,350 D.25,536

the race:A. 532 ft.

4. Two workers A and B tqgether can complete a job in 7 days.A works twice as fast as B. How many days woutO it take B todo the job wgrking alone?

5. The first of the three numbers exceeds twice the secondnumber by 4, while the third number is twice the first. lf thesum of the three numbers is 54, find the largest of the threenumbers.

A. 10.Sdays: B.21days C. 9 days D. 18 days

4.12 8.32 c. 16 D.6

7- h h ery.-m&2a(m+Ilx+24:O.dbHG"[Eotg-A- 9"17 B.-tar8

A,24min. B.20 min. C. 15 min. D.25 min.

B. -32.2,69.3 D. 20.9, -61.9

8. A caper(er and his helper together can repair a house in 10days. h takes the helper E days longer than the carpenter todo the repair wften each works alone. How many days would

[{ake the helper to do the repair if he is to work alone?' A. 22.8 days B. 7.2 days C. 17.8 days D. 12.2 days

L Two friends A and B are respectively S and g years old. lnhow many years will the ratio of their iges be 3:4i4.5 8.6 ..c.'. D,7

10. Roy and RR can jog around a circular park in g and 12minutes, respectively. If they start at the same instant from ihesame place, in fiow many minutes will they pass each other ifthey jog around the track in the same aireition?

6. The speed of tr," @re b 120 mi/rrr in a carm. with the wind itcm aer a certain dbErce in 4 hours, but against the wind itcEn oorrr or*y 3rE d tlrd distance in the same time. Find theEhcfydtuphd.A 10 dtr 8. flt ni,tr C. Zl milhr D. 40 mi/hr

{g,rs,-rz

11. Find the_term containing x' in the expansion of [x3+(a/g110A.12lat.f -C. tioa?

B.21oa6* D .32oa?

12, lf sinxcosx+sin2x =1 , what are the values of x in degrees?A. 32.2,69.3 ,.._Q.

ZO.g, Ot.g

13. Find the 1Sth term of the progrBsqion 1 4Jn,1fiA,...A.46 B. 1/56 i C:'1t46 D. 56

14. Find the geometric mean betwgen -2 and -g.4.4 B. 16 D.6

B. 2: 48.636 sec D.2:48 min & 30 sec

i c.i+

15. ln how manyminutes after 2 o'clock will the hands of the clockextend in opposite directions for the first time?

A. 2: 43min & 0.636 sec C.2:43 min & 38 sec

16. Vvhicfi of the following is a factor of xa-+f-lf+2}x+24.

1of 4

17. A number is divided into two parts such that when the.greater part is divided by the smaller, the quotient is 3 andthe remainder is S. Find the smaller number if the sumof the two numbers is 37.

=reeEa=EE. - - _ _ _ _ _ _ .

A. (x-3) B. (x-2) C. (x-1) D. (x+3)

'4.I 8.12 c.32 D.16

4.3ft B.5ff c.4 ft

18- What is the probabitity of getting a g exacily once in 3throws with a pair of dicefA.0.033 B.0.263 c.0.862 D.0.751

19. Find the value of A for which the equation A(2x+l)_ .

(x-4) = gx+{g is an identity.A. -1 B. 3 c.2 D. _3

20. lf coversed Sin0 = 0.134 , find the value of versed Sin0 .

A. 0.8 B. 0.3 c. 0 5 D. 0.2

21. A_wheel, 5 ft in diameter, rolls up an incline of 1g"20'.What is the height of the center of the wheelabove thebase of the incline when the wheel has rolled up S ftup the incline?

D.6ft

22. A tree broken over by thewind forms a right trianglew fr tle ground. tf the broken part makejan angle of b0"

with the ground and the top ofthe tree is now ZO n ftomits base, how tall was the tree?

c.45 ftD.36 fi

23. Serren carpefiters and 5 masons eam a total of 2,300 perday. At tre sarne rate of pay 3 carpenters and g masonsearn 2,0rl0. $Jtra( are the wages per day of a carpenter,and a mason?h.:no a tao c. 210 &17oB.3m&210 D.270& 150

24. Alady started a chain lefter by writing to four ftiends

and requesting each to copy the letter and send it to fourother friends. lf the chain was unbroken until the sth- -'

set of letters was mailed, how much was spent forpostage at P8.00 per letter?

A.55fiB.&+fi

A.12,2198."10,912

A.5 kmlhrB. + rWnr

c.21,435D. 11,291

, Q.8 km/hrD.6 km/hr

25.

28.

Determine how much wat0r should be evaporqted from50kg of 30% satt solution to produce a OO* sait solution.All"percentages are by weight.

,25 ks B.35 kg C. 15 ks D. 18 kg

A machine costs PS0,000.00 and depreciates 20% ofthe original costduripg the first year,160/o during thesecond year,12% during the third year, and so on,for 5 years. What is the value at thi end of 5 years?A. 15,000 c.30,000B. 25,ooo ,'b.,zojooo

A boat going across a lake 8 km wide proceeds 2 kmat a.certain speed and then completesthe kip at a speedotlzkmlhr faster. By doing this, the boat arrives 10

'

minutes earlier than if the original speed hadbeen maintained. Find the original speed of the boat.

27.

28.

29.

z varies direc;tly as x and inversely as f. tt x = 1 andy = 2, then z = 2. Find zwhen x = 3 and y = 4.A:1.5

B.3 c.2.5 D.3.5An audience of 540 people is seated in rows having thesame number of persons in each row. lf 3 more'peisonsseai in each row, it would require 2 rows less to seat



30. A group consists of n engineers and n nurses. If two of theengineers are replaced by two other nurses, then 51% of thegroup members will be nurses. Find the value of n.

D.31

4.80 B.110 c.55 D. 100

4.3 B.5 c.4 D.9

33. Assuming the earth to be a sphere of radius 3g60 mi, find thedistance of a point 36"N latitude from the equalor.

REE-MI: Algebra & Trigonometrythe audience. How many persons were in each roworiginally?4.17 B. 30

C.2484miD.4288 mi

c. 1360800D.263

c.27

c.2&6D.4&4

31. lf Juan is 1070 taller than PedrO and pedro is 10% taller thanMaria, then Juan is taller than Maria by how many percent?

A.2Oo/o B. 18o/o C.21Yo D. 11yo

32. A piece of wire of length E2 cm. is cut into two unequal.parts.Each part is then bent to form a square. lt is found tfrit ttretotal area of the two sguares is g7'cm2. Find the differencebetween the sides of each square.

4.2844mi.B- z+ag mi

3a. 11 [ow many ways can 10 different books be divided among

A, B, and C so that A gets 5 books, B 3 books, and C 2books?4.2,520B. so40

35. From the eguation 12f-af+U+18=0, find the value of k ifone root is the negalive of the"ofrrer.A -18 B.-12 c-a7 D. -31

36- tf ore rod d $f2€I+k=O exceeds the ortrer by 2, find thevafue ofkAB h-)8.5 D. -6

37. The arithmeti rnean of two numbers is 5, and their harmonic

mean is 2415. Find the numbers.

38. A man has P100,000, part of which he invested al 12%interest,and the rest at 18%. He received a total annualinterest of P15;300. How much did he invest at 18% interest

i,qj 55,000D.75,000

39. Simplify the equation Sin2x(1+cot2x).A. sin'x C. 1

40. A vertical pole consists of two parts, each one half of thewhole pole. At a point in the horizontal plane which passesthrough the fqot of the pole and 36 m frorn it, the upper half ofthe pole subtend an angle whose tangent is 1/3. How high isthe pole?

4.72 8.25 c.46 D. 16

41. ABDE is a square section and BDC is an equilateraltrianglepitfr C outside the sguare. Compute the value of angle ACE.

i" A. 30 deg. C. 50 deg.8.60 deg. D. 20 deg.

42. The angle of elevation of the top of a tower from a point A is

23o30'. From another point B, the angle of elevation of the

top of the tower is 55"30' . The points A and B are 217.45 mapart and on the same horizontal plane as the foot of the

' tower. The horizontal angle subtended by A and B at the footof$e tower is 90 degrees. Find the height of the tower.,A.90.6 m c. 89.s m

&3&5.8:4&6 *

rate?

4.45,000B.60,000

2 of4

43. At a meeting, after everyone had shaken hands witheveryone else, it was found that 66 handshakesWere exchanged. How many were at the meeting?

.A.10 B. 20 c.12 -

D.24

44. A number between 1 and 1000 (inclusive) is randomlyselected. What is the probabitity that it wiil be divisibti

D.55.9 m

o. 1t32D.1t120

c.45ftD.36ft

47. Which is identically equalto secx(cok+tanx)?

8.86.7 m

4.1t28a. u64

4.55ft8.64ft

A. cso<

B. sinx

A.:2,608.2,17

Y=x"

Y =x2

C. cosx

D. -secx

G. 17,-60D.2,60

c. 160,490D.260,354

c'Y=xD.Y=3x

by4 and 5? l

A.0.03.8. 0.05

c.0.04 D.0.0645. ln the series 1, 1, 1t2, 1t6, 1t24,,..., determine the 6th ternt

46. A tree broken over by the wind forms a right triangle withthe ground. lf the broken part makes an ingle of 50. withthe ground and the top of the tree is now 20 ft from itsbase, how tallwas the tree?

48. Woodz was four times as old as LC ten years ago. lf sheis now twice as old as LC, how old is Woodz?

-

4.15 B.20 c.30 D.25

49. A boat propelled to move at 25 miftrr in still water. trauets4.2 miles upstream in the same time that lt c n tra** SEroiles downstream. Find the speed dthe stsniA 4 B, 10 c.8 D. 12

50. Find the value of x which will satisfy the

equation Ji-zlJi =t.c.4 D.0,4. 1 B. 1,4

51. Find the sum and product of roots qf the

equation x3 +2x2 -23x -60 = 0.

52. The probability that A can solve a given problem is 4/5,that B can solve it is 2/3 and that C can solve it is 3/7. tf allthree try, compute the probability that the problem will besolved.

A.0.64 .b. o.go8.0.52 D. 0.81

53. ln how many ways can g different books be arranged on ashelf so that 3 of the books are never

all3

together?A. 130,240

'9.ggZ,O+O

Find the equation whose roots are numerically eqqal butqpposite in sign to the roots of the equation t'+7f+11x+S-O| $,ixl-l{1llx-5=0 C. x3+7f+11x-S=0

B. x"+7x2-11x+5=0 D. x3-7f-1 1x+S=0

Determine the sum of the first 10 terms of the sequence

whose general term is given by 3n -2 .

4.88225 C.882558t88552 D.88522

lf.3logx -logy = 0, express y in terms of x.

54.

55.

56.

,h:

B.

57. Mark has nickels, dimes, and quarters amounting to $1.6,



RTE-M1: Algebra & frigonometrylf he has twice as many dimes as quarters, and the numberof nickels is two less than twice the number of dimes, howmany quarters does he have?A:3 8,8 c.6 D.10

58. An organization has 25 members, 5 of whom are ECE's. lnhow many ways c;ln a committee of 3 be formed so as toinclude at leastone ECE?A.540 .,4. ttOO C.970

59.Sotve for

x in the following equation:x +3x +5x +7x +... +49x = 625

4.1t4 B. 1 c.112 D.3t2

60. lf x '. '.2 = 4: -3'.2 and 2x + 4y -32 = 20 , find x,y,2.

A. 4, -5, 2 B. -8, 6, -4 C. 5, -6, I D. 2, -7,4

61. A Caf6 Mocha Grande contains 16oz of a mixture of coffeeand Chocolate which is 40% coffee by volume. How much ofthe mixture should be removed .and replaced by an equalvolume oJ chocolate so that the resulting Caf6 Mocha will be25o/o cofiee by volume?

A. 7,5 liters 8.4 oz C.2.4 oz

62. lf the sides of the triangle are 2x+3,1+3x+3, and x2+2x, findthe grcatest angle.

A. 100 deg.B. 130 deg.

Tte sum and dftrence of turo angles in a triangle are 90desees and g) degrees, respedively. lf the side opposite thesr# angle b Z) crn., fird Ute area of the tsiangle.

ffi.

D.31'l

D.6oz

C:120 deg.D. 110 deg

c.289-6D- 268.4

C. 120 deg.

D. 140 deg.

A:t46_4g_?31.5

64. kr tiaqte ABG, angb A=80 deg. and point D is inside theEiangb, lf BD and CD are bisectors of angle B and C, solveturthe angle BDC.

A.- 00 deg.

t:,lPoo"n'65. A statistical clert submitted the following reports. The average

rate of production of radios is 1.5 units for every 1.5 hrs workby 1.5 workers. How many radios were produced in one

rronth by 30 men working 200 hrs during the month?

A.4000B: seoo

66. A class of 40 students took examination in Etectronics and

Communications. lf 30 passed in Electronics, 36 passed in

Communication and 2 failed in both subjects, how many

students passed in both subjects?

c.5000D.4200

c.26 D.32

The excess of the sum of the fourth and fifih parts over thedifference of the half and third parts of a number is 119. Find

the number,4.2408.320

67.

,. A.28 B.30

A. bearing

B. azimuth

\.c..420D.430

, C, direction

D. course

68. How many terms of the progression 4, 7, 10, 13,. . . must be

taken so that the sum will be 69.

4,6 B. I C.8 D.12

69. What is the angle measured in degrees clockwise from the

north to the direction in which the carier is traveling.

An urn contains 4 white balls and 3 black balls. Another urn

contains 3 white balls and 5 black balls. lf one ball is drawn

from each urn, determine the probability that the balls drawn

will be 1 white and 1 black.

70.

3 of4

71. Three friends A, B, and C can do a piece of work in thours working together. Working alone, A can do thework in 6 hours more, B in t hour more, and C in twicethe time if all working together. How long would it taketo finish the work if att working,together?

4.27t56 B. 9/56

A.20 mins,

8.30 mins.

the incline?

A.3ft B.5ft

A:240 km.

B. 180 km

A. 17.545

'8.19.806

4.45.748.63.62,

A2:43.64B.2:43.46

4.3144 rada 3le+ rad

A. functionB. domain

, o: u r-

G. 29/56 D.5t14

I C.40 mins.'D. 50 mins

C.2A.87 m

D.24.27 m

c..4 fi

C.320 km.

D.200 km

c. 18.525

D. 14.507

C.2:34.64.D.2:34.46

C.4/33 radD- 4143rad

72. A golf ball is dropped from a height of 6 meters. On eachrebound it rises 2/3 of the height from which it last fe[.What distance has it traveledlt the instant it strikes thegrognd for the 7th time?A.27.89 mB. 19.86 m

73, A wheel, 5 fi in diameter, rolls up an incline of 18"20'.What is the height of the center of the wheel above thebase of the incline when the wheel has rolled up 5 ff up

D.6ft

74. The velocity of an airplane in still air is 125 kph. Thevelocity.of the wind due east is 25 kph. If the ptane

travels dast and returns back to its base again in 4 hours,at what distance does the plane travel due east?

75. ln a racing contest, there are 240 cars which will haveprovisions that will last for 15 hours. Assuming constanthourfi consumption for eacfr car, how long will the fuelprwisions last if I cars withdraw from the race every hourafier the first?4.16 8.18 c.20 D.25

76. The sum of the sides of a triangle is equal to 100 cm. lf theangles of the triangle are in the continued proportions of1:2:4. Compule the shortest side of the triangle.

77. The sides of a triangular field which contains an area of2400 sq. cm. are in continued proportion of 3:5:7. Find

the smallest side of the triangle,G.95.43',D.57.67

78. What time after 2 o'clock will the hands of the clock extend

,,in.opposite directions for the first time?

79. Tvrlo cities 270 mi apart lie on the same meridian. Find therdifference in latitude.

80. lt is a set of ordered pairs of numbers.

81. The set of points in a plane such that the difference of the

distances of each point of the set from two fixed points

(foci) in the plane is constant.

C. range .

D. relation

C, CircleD. Ellipse

C. 180 waysD. 320 ways

A. Parabola

.8. Hyperbola

82. ln how many ways can a party of 6 people be seated ona row of 6 seats if a certain 2 refuse to sit next to each

other?

A. 240 waysB: 480 ways



_r rrv auq:,r rv,

95. The vibration frequency of a string varjes as the square

length and diameter of ihe string. lf the itring is 3 feetlong and 0.03 inch in diameter vibrates at 7i0 times persecond under g0 lbs tension, at what frequencv will a2 feet long, 0.025 inch string vibrate under 2500 tbs tension.A.6210 c.68308.7514 D.5645

96. The hypothesis of conditionalstatement.The "if part ofan "if-then" statement.

{'antecedentB. postulate

97.

98.

4.349,800ts.549,600

C. condition. D. theorem

c.469,500o.369,600

A compound statement that says one sentence is true ifand only if the other sentence is true.

f. dependent statement C. independent statementB.biconditionalstatement D.conditionalstaiement

T_here are 3 copies each of 4 different books. ln how manydifferent ways can they be arranged on a shelf?

99. The distance passed over by a certain pendulum bob insucceeding swings form the geometric progression 16,12,9,... feet respectively. Calculate the totai distancetraversed by the bob before coming to rest.4.64ft B.75ft c.54ft D.96ft

100.At what price should Book Latte mark a book that costsF30O in order that it may ofier a disount of 20yo on tfremarked price and still make a profit ol 21o/o on the sellingprice?

A.400 . B.5@ C.450 D.70O

83. Find the real vatues of'x and y satisfiing the givenequation:(2x+3y)+ i(3x-5y) = 8-i7 .

C. x=2,y=1D,"x=2,y=-1

Algebra & Trigonometry

c. 1500D. 1250

C. 3.1 days

, D.f.03 days

c. 10, 11, 11

, D: 1.1, 11, 11

A. x=1 , y=-2

B. x=-2, y=-1

84. Missy goes to a bake shop to buy some pastries for resaleat Booklatte. She spends half her money for Revel Bars,and one-third of what remains for Triple Chocolate Brownies.She spends 150 for other pastries and still has 200 left fromthe amount she originally had. How much money did shq have

atthe start?

85.

86.

Roy met Mark and RR walking hand in hand in Trinoma, andbecause of jealousy he decided to walk northward away fromthe two at the rate of 2 m/s while the two went to the east atthe rate of 0.5 m/s. afler how many minutes will the distancebetween them be 250 m?A. 121 mins ,"C,2 mins8.60 mins "ii.

1 min

How many liters of a 25o/o acid solution must be added to g0liters of a 40o/o acid solution tci have a solution that is 30%

i*",tosa*9.5100

A. 10, 10, 11

B; 10,11 , 12

87. Engr. RR walks at the rate of 6 mph to the LRT station. Shethen takes the LRT to work, averaging at 60 mph. if shespends 15 minutes less time on the LRT than walking, and thedistance fiom her house to work is 29 miles, wtrat is thedisEnce fro{n her house to the LRT station?

acid?A. 160 L 8.90 L c. 100 L D. 120 L

A 3 .8.1'.-_j

c.5 D.6

Three fienG A, B, and C are in a rztce. The odds trat A willwin ale 7 to 5, and the odds that B willwin'are 1 to 3. Whatare the odds in favor of C?A.1to4 B.3to2 'Q, 1,to5 D.2to5

Two numbers differ by 40 and their arithmetic mean exceedstheir geometric mean by 2. Whalare these numbers?A. 75 & 115 B. 45 & 85 C.8.1 &121 D. 88 &128

Which of the following is a prime number?A.437 8.483 c.417 ,iD.4g7

91. A and B working together can do a job in 3 days, B and Ctogether can do the same job in 4 days, and A and C in 2.5days. ln how many days can all of them finish the job workingtogether?A. 1.07 daysB. 2.8 days

"

Find the mean, median and mode respectiv.ely of the following

numbers; 13,13, 14,12,11,10,9, 11,8,11,5, and 15.

88.

89.

90.

93. The age of Diophantus, a Greek mathematician may be

calculated from the epitaph which reads as follows:

'Diophantus passed 1/6 of his life in ohildhood, 1112 in youth,

117 as a bachelor. Five years after his marriage was born a

son who died 4 years before his father at half his father's finalage.'How old was,Diophantus when he died?A.808.82

Your father told you "[ was your age now when you were

bom'. lf you are 21 years old today, how old is your father?

.c.78'.D"'84

A50Br42

i-,.

c.48D.44

94.

4ot4



UIIU . AIIU t tr. VgV I

-----r----

Algebra & Erigonometry101. This states that every integral rational equation has at least

one root.

A. Fundamental Theorem of Arithmeticp. Fundamental Theorem of Counling

,C. Fundamental Theorem of AlgebraD. Fundamental Theorem of Eq-uations

102. The logarithm of the reciprocal of a numberis called

103. How many differenl signals, each consisting of 8 flags hung ina vertical line, can be formed from 4 identical white flags and4 identical blue flags?

&.70B. 1680

104. Find lhe mean deviation for the following set of data: {10, 20,

A. lnverse LogarithmB. Cologarithm

C. lndexD. Briggsian Logarithm

c. 140

D.3360

c.60D. 3.33

C,r28.6 mphD. 38.5 mph

c.4.83D.6.63

c.3t26D.1t2197

c. 13/3888D.25t7776

c.1t16D.1t21A

c. 0.051

D.0.238

c.84/14sD.37t425

c.0.0584

D.0.0093

301

A.6.678.20

105. Rex travels 50 miles at the rate of 20 mph and then on a freeway travels the next 50 miles at the rate of 50 mph. Wtrat ishis average speed?

A. 35.0 mph8.48.8 mph

106. Find the quadratic mean of {2, 4, 6, 8, 10}

107. Find the probability of obtaining an ace on three draws frcm add of cards when there is no replacement befiore the nextone is draam.

A. 1/525'8.115525

108. The probability of throwing at least 4 aces in 5 throvra of adie.

4.23t648B.5t1944

109. A new phone is being installed at the Allado's residence. Findthe probability that lhe final four digits in the telephonenumber will be odd.4.4t78.256t2401

110. Find the probability of throwing at least one ace in 10 throwsof,a die.

4.0.838B. 0.161

11 1. Two cards are drawn at random from a standarddeck of

E2cards. What is the probability that both are diamonds?

A.3.338.5.50

4.13t528.7t13

4.0.0385

8.0.0835

c.7t261,.p."1t17

1'12. A committee of 5 people is to be selecded from a group of 6men and 7 women. VUhat is the probability that the committeewill have at leasl 3 men?A.59/1438.14At292

113. Billie guesses on all 10 questions on multiple choice quiz,each number having four choices, What is the probability thatexactly hatf of the'answers arc correct?

114. A line map was drawn at a scale of 1:50,000. An enor of 0.05mm in the drawing is equivalent to how many rneters in

_ac{ual?

,A. p.s m c.0.25 m

5of5

o a p s gc

8.250 m D.25 m

115. A flagpole 3 m high stands at the top of a pedestat 2 m hii:rhlocated at one side of a pathway. At the opposite side of tirepathway directly facing the flagpole, the flagpole subten:lsthe same angle as the pedestal. \A/hat is the width of il epathway?

116. Two sides of a triangle measure 18 cm and 6 cm. The thirdside may be:

A. 12 cmB. 13 cm

A.3.21 mB. 5.25 m

A. Unary matrixEf Unit matrix

A. nonillionB- ododecillion

A. 1.15 hrsB. 1.125 hrs

A. P180.00

B. P170.00

C. rt.47 m

D.6.28 m

C. 10 cnr

D. 11 cm

C. tdentity matrixD. Nullmatrix

C. novemdecillionD. octillion

C. 1.325 hrsD. 1.525 hrs

Q.3:22.22D.3:44.44

c. P150.00

D. P225.00

118. are functions which can be expressed using arithmelicoperations and vrrhose values are either rational or a root 01 arational number.A.Transcedentalfunctions C. lnationalfunctionsB. Algebraic functions D. Logarithmic functions

'l 19. The number follow ed by 27 zeroes is called

120. The hypothesis that an integer "n' is prime ifi it satisfies tiiecondition 2 n-2 is divisible by n-

A. Goldbach's conje€ture C. Chinese hlryothesisB. Wlson's Theorem D. Ob typothesis

121. The ages ofthe molher and her daughter are 45 ard 5 year;,rcspectivety. Hor many years will the mother be thre tim: sas old as herdaughterwill?A.5 B. 10 .c. 15

122. A pipe can fill up a tank with the drain open in three hours. lfthe pipe runs with the drain open for one hour and then trredrain is closed, it will take 45 more minutes for the pipe to iillthe tank, if the drain will be closed at the start of filling, h<rwlong will it take the pipe to fill the tank?

D.20

123. A man left his home at pasl3:00 PM as indicated in his wllll'clock. Between two to three hours after, he retumed horileand noticed that the hands of the clock interchanged. At wl.rattime did he left his home?4.3:27.27d.s:gl.lz

124. A group consist of n boys and n girls. If two of the boys *rereplaced by two other girls, then 49olo of the group memh#rwill be boys. Find the value of n.

A. 100 8.49 c.50 D.51

125. On his Christmas sale, a merchant marked a pair of slipp,r*n

P180.00, which is 2oolo olf the normal retail price. lf the retallprice is 500/o higher than the wholesale price, what is fl,lewholesale price of the slipper?

Rte-m1 Algebra & Trigonometry

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