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Solutions to various number series and algebra problems presented by leonalyn in her tutorial videos. The problems cover topics such as finding the next term in a sequence, logical reasoning, numerical reasoning, fraction series, and more. The solutions are presented in a step-by-step manner, making it easy for students to understand and solve similar problems.
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1.) Find the next term in the sequence. 3, 6, 15, 21, 27, __ a. 33 b. 30 c. 36 d. 40
2.) 1.1 2.4 3.9 4.16 5.25 ____ a. 6.25 b. 6.30 c. 6.36 d. 7.36 e. 7.
3.) 8/9 – 4/9 2/9 ___ 1/18 – 1/ a. – 1/15 b. – 1/12 c. – 1/9 d. 1/9 e. 1/
4.) 1.45×10^2 , 3.45× 10^4 _______7.45× 10^16 9.45× 10^32 a. 3.45×10^6 b. 3.45×10^8 c. 5.45×10^6 d. 5.45×10^8 e. 5.45×10^12
5.) 3 9 19 33 ____ a. 49 b. 50 c. 51 d. 52 e. 53
6.) 54 18 36 12 24 ___ ___ a. 8, 4 b. 8, 16 c. 12, 36 d. 24, 8 e. 48, 16
7.) 10 16 28 52 ___ a. 96 b. 98 c. 100 d. 102 e. 104
8.) 1/(2x+3) _______ (1+2x)/(8x+5) (1+3x)/11x+6) a. x/(3x+1) b. 1/(5x+4) c. 1/(6x+1) d. (1+x)/(5x+4) e. (1+x)/(6x+4)
9.) ½ 1 ¼ 4 _____ a. 1/8 b. 1/16 c. 1/32 d. 1/48 e. 1/
10.) (10%, 500) (20%, 250) _____ (40%, 125) (50%, 100) a. (30%, 150) b. (30%, 166.67%) c. (30%, 173.33) d. (30%, 200) e. (30%, 225)
11.) 2,500,000 16 × 104 9,000 4 × 102 ______ a. 0.1 b. 1 c. 10 d. 100 e. 1000
12.) 20 24 30 40 60 ______ a. 120 b. 80 c. 90 d. 110 e. 75
a. 17 b. 24 c. 36 d. 16 e. 20
50.) 1, 4, 13, 40, 121, 364, ____ a. 623 b. 719 c. 865 d. 997 e. 1093
51.) 5, 17, 19, 6, 14, 16, 7, 10, 12, 8, ____ a. 17. b. 15 c. 11 d. 9 e. 5
52.) 795, 2611, 684, 2722, 573, 2833, ____ a. 543 b. 484 c. 462 d. 446 e. -
53.) – 6, 30, – 150, 750, ____ a. 3750 b. 2250 c. -1500 d. -2250 e. -
54.) 1/3, 3/9, 5/15, 7/21, 9/27, ____ a. 11/35 b. 11/33 c. 9/29 d. 8/25 e. 4/
55.) 4, 16, 8, 40, 20, 120, 60, 420, ____ a. 480 b. 360 c. 240 d. 210 e. 140
56.) 2, 5, 3, 10, 4, 17, 5, 26, 6, ____ a. 40 b. 38 c. 37 d. 35 e. 33
57.) .02 .06 .12 .20 .30 ____ a. 0.36 b. 0.40 c. 0.42 d. 0.46 e. 0.
58.) 2, 5, 12.5, 31.25, ____ a. 33.75 b. 43.25 c. 50.75 d. 78.125 e. 82.
59.) 2/5 4/7 6/9 8/11 ____ a. 11/14 b. 10/13 c. 12/15 d. 10/15 e. 11/
60.) 1 ½ 2 2 / 3 3 ¾ 4 4 / 5 ____ a. 5 5/6 b. 5 4/5 c. 6 6/7 d. 4 5/7 e. 6 5/
61.) 2, 5, 4, 10, 6, 15, 8, ____, ____ a. 20, 10 b. 10, 20 c. 10, 10 d. 20, 20 e. 8, 10
62.) 10, 5, 20, 10, 60, 30, 240, 120, 1200, ____, ____ a. 600, 400 b. 120, 600 c. 600, 7200 d. 1200, 7200 e. 120, 580
63.) 10, 15, 9, 17, 8, 19, 7, ____, ____ a. 21, 7 b. 21, 6 c. 20, 6 d. 20, 7 e. 21, 23
64.) 25, 23, 36, 49, 47, 64, ____, ____ a. 62, 79 b. 60, 80 c. 62, 82 d. 60, 81 e. 62, 81
65.) 721, 521, 711, 531, 701, 541, ____, ____ a. 691, 550 b. 690, 551 c. 692, 551 d. 691, 551 e. 691, 552
66.) 148/450 158/440 168/430 178/420 ____, ____ a. 188/410, 198/400 c. 188/400, 198/400 e. 188/400, 198/ b. 188/400, 188/400 d. 188/420, 188/
95.) a. b. c. d.
a. D b. N c. O d. E
99.) QPO, NML, KJI, ____, EDC a. HGF b. CAB c. JKL d. GHI
100.) JAK, KBL, LCM, MDN, ____ a. OEP b. NEO c. MEN d. PFQ
101.) QAR, RAS, SAT, TAU, ____ a. UAV b. UAT c. TAS d. TAT
102.) ELFA, GLHA, ILJA, ____, MLNA a. OLPA b. KLMA c. LLMA d. KLLA
103.) CMM, EOO, GQQ, ____, KUU a. GRR b. GSS c. ISS d. ITT
104.) AE, CG, EI, GK, ____ a. MI b. IM c. HM d. IL
a. H b. I c. J d. P
106.) ABD, DGK, HMS, MTB, SBL, ____ a. ZKU b. ZKW c. XKW d. ZAB
107.) BDF, CFI, DHL, ____ a. CJM b. EIM c. EJO d. EMI
108.) BE, GK, MR, TZ, BI, ____ a. JR b. KS c. JS d. KR
109.) 3F, 6G, 11I, 18L, ____ a. 21O b. 25N c. 27P d. 27Q
110.) cx, fu, ir, ____, ol, ri a. lo b. mn c. no d. op
111.) If SINGLE can be given a code number of 66, what code number can be given to WINKLE? a. 76 b. 66 c. 78 d. 74
112.) If REASON is called as 5 and BELIEVED as 7, what is the code number for GOVERNMENT? a. 10 b. 8 c. 9 d. 6
113.) If PRATAP could be given a code number 1618120116, what code number can be given to NAVIN? a. 73957614 b. 24639125 c. 14122914 d. 19274651
114.) If CENTURION is coded as 325791465, and RANK as 18510, what will the figure 78510 represent? a. TANK b. BANK c. TAKE d. SANK
115.) If WORK is coded as 4567 and MAN 328, then WOMAN is coded as a. 45328 b. 43528 c. 32845 d. 35428
116.) If spider is written as PSDIRE, how would COMMON be written in that code? a. OCOMMO b. OCMMNO c. OCMOMN d. OCMMON
117.) If (a) ‘gnr tag zog qmp’ stands for ‘Seoul Olympic organizing Committee’, (b) ‘hyto gnr emf’ stands for, ‘Summer Olympic Games’, and (c) ‘esm sdr hyto’ stands for ‘Modern Games History’, What would ‘summer’ stands for? a. gnr b. hyto c. emf d. zog
118.) In a certain language ‘526’ means ‘sky is blue’, ‘24’ means ‘blue colour’ and ‘436’ means ‘colour in fun’. Which digit in that language means ‘fun’? a. 2 b. 3 c. 4 d. 6
119.) If a rectangle is called a circle, a circle a point, a point a triangle, a triangle a square, then wheel is a: a. rectangle b. circle c. point d. triangle
120.) If the letters is PRABA are coded as 27595 and THILAK are coded as 368451, how can BHARATHI be coded? a. 96575368 b. 57686535 c. 96855368 d. 37536689
121.) If JAILAPPAS is coded as AIJAPLASP, ECONOMICS will be coded as: a. COEMONCSI b. COEOMNCSI c. OECMONSCI d. OECOMNCIS
139.) Cherry's mom is older than her by 25 years. If the sum of their ages is 67, how old is her mother? a. 45 b. 40 c. 48 d. 46?
140.) A vendor had a total sale of P60.50. He had 5 more 5-peso coins than twice the number of 1-peso coins. The number of 25-centavo coins is six times the number of 5-peso coins. If the total sales consist of 25-centavo, 1- peso, and 5-peso coins, how many 25-centavo coins does he have? a. 2 b. 9 c. 24 d. 54
141.) 2/3x + 18 - 3x = – 87, What is the value of x? a. 40 b. 39 c. 43 d. 45
142.) One pack of orange juice can make 70 liters pitcher. That 70 liters pitcher of orange juice can be consumed by 10 people in just 15 days. If they add 8 more people, how many days will it last? a. 7 and 2/3 days b. 8 and 1/3 days c. 6 and 1/2 days d. 9 and 1/3 days
143.) If 11:N = 20:120, what is N? a. 70 b. 86 c. 66 d. 65
144.) Sheila bought 23 yellow pads which costs P25.75 per yellow pad. If she gave P1000 bill to the cashier, how much was her change? a. 407.75 b. 404.25 c. 398.60 d. 410.
145.) A teacher needs to buy boxes of chalks. Each box cost P104.50, but for every 7 boxes of chalk, the store offers her one free box. How much will she pay for 20 boxes of chalks? a. P2010 b. P1985 c. P1881 d. P
146.) At present, the ratio between the ages of Arun and Deepak is 4:3. After 6years, Arun's age will be 26 years. What is the age of Deepak at present? a. 12 years b. 15 years c. 19 and half d. 21 years
147.) A shopkeeper purchased 200 bulbs for Rs10 each. However, 5 bulbs were fused and need to be thrown away. The remaining were sold at Rs12 each. What will be the percentage profit? a. 13% b. 15% c. 17% d. 22%
148.) Which expression represents the quotient? a. x^5 /3 b. 3/x^5 c. x^6 /3 d. 3/x^6
149.) The average of three numbers is 135. The largest of these numbers is 180 and the difference between other two numbers is 25. What is the value of the smallest number? a. 125 b. 110 c. 100 d. None of these
150.) The sum of the digits of a two digit numbers is 12. If the new number formed by reversing the digits is greater than the original number by 54. Then, what will be the original number? a. 93 b. 28 c. 48 d. 39
151.) Three numbers are in the ratio of 3:4:5 respectively. If the sum of the first and third numbers is more than the second number by 52, then which will be the largest number? a. 52 b. 65 c. 67 d. 69
152.) PEMDAS: (20-6+2)÷4×2=__? a. 1.5 b. 2 c. 6 d. 8
153.) The sum of two numbers is 54. The larger number is 5 times that of the smaller number. Find the product of the two numbers. a. 405 b. 270 c. 324 d. 130 e. 159
154.) Two boxes A and B contained some pens. Box A contained 5 more pens than box B. When 8 pens were transferred from Box B to Box A, Box A had 4 times as many as Box B. How many pens were there in Box B at first? a. 15 b. 13 c. 32 d. 20 e. 40
155.) John is four times as old as Martha. Five years ago, the sum of their ages was 50. How old are they now? a. 15 and 45 b. 12 and 48 c. 10 and 40 d. 10 and 50 e. 20 and 40
156.) Tim is 5 years older than JoAnn. Six years from now, the sum of their ages will be 79. How old are they now a. 30 and 35 b. 31 and 36 c. 35 and 40 d. 20 and 25 e. 28 and 33
157.) Diane is 23 years older than her daughter Amy. In 6 years, Diane will be twice as old as Amy. How old are they now? a. 20 and 43 b. 12 and 35 c. 17 and 40 d. 18 and 41 e. 15 and 38
158.) Fred is 4 years older than Barney. Five years ago, the sum of their ages was 48. How old are they now? a. 25 and 29 b. 29 and 33 c. 27 and 31 d. 30 and 34 e. 28 and 32
159.) The ratio of two numbers is 5:8. If the smaller number is 25, what is the larger number? a. 100 b. 55 c. 50 d. 40 e. 48
160.) What is the least number if divided by 4, 5, and 10 the remainder is 3? a. 23 b. 43 c. 63 d. 83 e. 103
161.) Mr Tan has 8 times as many blue pens as red pens. He has 711 pens altogether. If he sells 168 blue pens, how many blue pens does he have left? a. 632 b. 543 c. 479 d. 464 e. 633
162.) Cadet A had 3 times as much as book as cadet B, but after Cadet A gave Cadet B 12 books, they had the same number of books. How many books did Cadet A have at first? a. 13 b. 12 c. 15 d. 11 e. 36
163.) A walks north while B walks south at the rate of 36 mi/hr and 15 mi/h. How far apart are they from each other after 2 minutes. a. 2.6 miles b. 3.2 miles c. 1.7 miles d. 4.5 miles
164.) Mark averaged 60 mph during the 30-mile trip to college. Because of heavy traffic he was able to average only 40 mph during the return trip. What was Mark's average speed for the round trip? a. 48 miles/hour b. 50 miles/hour c. 40 miles/hour d. 44 miles/hour
165.) After 6 Mathematics tests, Ruben has a mean score of 85. What score does Ruben need on the next test to raise his average (mean) to 90? a. 90 b. 120 c. 100 d. 110 e. 85
166.) 2.12 is multiplied by 10 to the sixth power is? a. 212,000 b. 2,120,000 c. 212,000 d. 21, 200
167.) 25 is multiplied by 10 to the fifth power is? a. 2,500,000 b. 250,000 c. 25,000 d. 0.
168.) Find the value of x in the equation: 5x + 25 = 10 a. 5 b. 3 c. – 3 d. – 5
169.) If x=8, find the value of y in the equation: 4x – 2y = 28 a. – 4 b. – 2 c. 4 d. 2
186.) The scale on a military map is 1 inch = 150 miles, Grid Coordinates (GC) 2477 and 2765 are 8 ½ inches apart on this map. What is the actual distance between the two GCs. (Grid Coordinates indicates exact location in a military map) a. 1275 miles b. 1270 miles c. 1185 miles d. 1265 miles
187.) Find the exact time after 4 pm when the minute hand coincides with the hour hand? a. 4:21.6 b. 4:22.8 c. 4:22.7 d. 4:21.
188.) What is the value of x when 2x + 3 = 3x – 4? a. 1 b. – 1/5 c. 7 d. – 7
189.) A cylinder has a base radius of 5 cm and height of 7 am. What is the surface area? a. 70 cm^2 b. 149 cm^2 c. 60 cm^2 d. 120 cm^2
190.) If a trapezoid has a side 8 cm and a height of 9 cm and another parallel side of 4 cm. What is the area? a. 54 cm² b. 72 cm² c. 66 cm² d. 32 cm²
191.) A cone has a base radius of 3 cm and a height of 15 cm. What is the surface area? a. 154.02 cm b. 134.02 cm c. 164.02 cm d. 174.02 cm
192.) What is the angle if the complement is 2 times larger than its supplement? a. 270 b. 250 c. 280 d. 260
193.) What is the area of a square that has a 5 cm long diagonal? a. 22.5 cm b. 15.2 cm c. 12.5 cm d. 5.22 cm
194.) A hexagon has how many diagonals? a. 9 b. 7 c. 18 d. 8
195.) What is the larger angle if two supplementary angles are in the ratio 1:2? a. 140 b. 120 c. 150 d. 170
196.) A train runs at the speed of 72 kph and crosses a 250 metre long platform in 26 seconds. What is the length of the train? a. 250 meters b. 520 meters c. 360 meters d. 270 meters
197.) In a classroom, there are 250 women and 300 men, what is the ratio of the women and to the whole population? a. 5:6 b. 5:11 c. 6:5 d. 6:
198.) There are 85 people in a warehouse. Some have been turned to zombies; some are still alive. If the ratio of zombies-to-living humans are 2:3, how many zombies are there? a. 34 b. 51 c. 17 d. 42 e. 45
199.) 3/4 of a year is 9 months, then what is 2/12 of a month? a. 30 days b. 60 days c. 5 days d. 10 days e. 28 days
200.) When I was 8 years, my sister was quarter of my age, and my brother was two times of my age. Now my sister is 30 years. How old is my brother? a. 40 yrs old b. 44 yrs old c. 32 yrs old d. 60 yrs old e. 54 yrs old
201.) Penelope is told to clean all the windows at her house. After cleaning 9 windows her job is 30% complete. How many windows does she clean in all? a. 50 b. 30 c. 100 d. 25
202.) Liza’s science class spend 1.75 hours preparing to dissect an earthworm. How many hours in simplest fraction form did she spend preparing for the dissection? a. 1 b. 1 c. 1 d. 1
203.) Tony’s house is 3.2 km from the city hall. How far is the distance of Tony’s house from the city hall in fraction form? a. 3 km b. 3 km c. 3 km d. 3 km
204.) One Canadian dollar is valued at 40.96 of a Philippine peso. What is the equivalent of this valued if expressed as fraction in lowest term? a. 40 b. 40 c. 40 d. 40
205.) If the thickness of a book is 0.8cm, what is its equivalent thickness in the lowest form of fraction? a. 4/5 b. 4/9 c. 8/9 d. 8/
206.) Given pairs of rational in the box, which pairs have correct equivalent values? I. 0.59 = 5/9 III. 0.7 = 7/ II. 0.910 = 9/10 IV. 0.13 = 13/ a. I and II only b. II and III only c. II and IV only d. II and IV only
207.) Billy, Tommy and Johny were in the ratio of 4:5:8 and it was decided to increase by 150%, 60% and 50%. What will be the new ratio? a. 5:4:6 b. 12:5:8 c. 6:3:4 d. 1:1:
208.) A rectangle has a perimeter of 360m. If its length and width are in a ratio of 5 : 4, respectively, what would be its area? a. 800m² b. 8,000m² c. 100m² d. 1,000m²
209.) Jack's age five years ago and Jill's age in five years are in a ratio of 7 : 11, respectively. If Jack is two years older than Jill, how old is Jill? A a. 15 yrs old b. 16 yrs old c. 17 yrs old d. 18 yrs old e. 19 yrs old
210.) If 8x + 12 = 24, what is the value of 24x + 36? a. 72 b. 48 c. 60 d. 44 e. 80
211.) Pat's watch gains an extra 10 seconds every 2 hours. Kim's watch loses 5 seconds every 3 hours. If both watches are set to correct time at 8 o'clock in the morning and run without interruption, after 72 hours, what will be the difference in time between Pat's watch and Kim's watch? a. 4 min b. 6 min c. 6 min 40 sec d. 7 min 30 sec e. 8 min
212.) (42 ÷ ) = ___? a. 6.3 b. 224 c. 9.8 d. 179.2 e. 280
213.) What is the estimated product when 157 and 917 are rounded to the nearest hundred and multiplied? a. 160,000 b. 180,000 c. 16,000 d. 80,
214.) 3 hours 20 minutes – 1 hour 48 minutes = a. 5 hrs 8 mins b. 4 hrs 8 mins c. 2 hrs 28 mins d. 1 hr 32 mins
215.) In 3 years, Alex will be 3 times as old as his sister Precy. A year ago, Alex was 7 times as old as Precy. How old are they now? a. 3 and 15 b. 7 and 35 c. 5 and 25 d. 5 and 35
234.) Erika Grace boarded a bus bound for Clark at 4 AM. After 1 1/2 hours Daniella Ann followed driving a car at 75 mph. Assuming that the bus is travelling at an average speed of 50 mph. At what time will Daniella overtake the bus? a. 8:30am b. 9:00am c. 10:30am d. 6:30am e. 7:00am
235.) The diagonal of a rectangle is 13 meters while one side is 12 meters. What is its area? a. 60 sqm b. 2530 m c. 50 sqm d. 156 sqm e. None of the above
236.) A car travels and average speed of 75 kph. If it travelled for 3.5 hours, what is the total distance travelled? a. 262.5 kms b. 150 kms c. 75 kms d. 450 kms e. 102.5 kms
237.) Marco can dig a ditch in 5 hours, and he and Jimmy can do it in 2 hours. How long would it take Jimmy to dig the same ditch alone? a. 3 hours b. 3 1/3 hours c. 4 hours d. 10 hours e. 2 ½ hours
238.) One hose can fill a pool in 3 hours and a smaller hose can fill the same pool in 4 hours. How long will it take the two hoses to fill the entire pool? a. 7/12 hrs b. 5/12 c. 1/12 hrs d. 1 5/7hrs e. 2 1/2 hrs
239.) Ramos can paint a house in 6 days. Ralph can do the same job in 10 days. If they both worked for 2 days, what part of the job is done? a. 3/4 b. 1/2 c. 8/15 d. 1/5 e. 3/
240.) Aria can do a job in 7 days. What part of the job is finished after she worked for 3 days? a. 1/3 b. 3/7 c. 2/13 d. 1/5 e. 4/
241.) Katya can do a job in 5days. Maria can do the same job in 6 days. If they both worked for 1 day, what part of the job is finished? a. 11/30 b. 11/15 c. 8/11 d. 5/6 e. 1/
242.) A coffee retailer wishes to mix two grades of coffee of P35 per kilo and P60 per kilo in order to obtain a mixture of 50 kilos, which will be sold at P45 per kilo. How many kilos of each should be used? a. 15, 20 b. 30, 20 c. 20, 12 d. 25, 15 e. 40, 22
243.) A Math teacher can grade 25 test papers in 30mins. She usually takes a 10min rest grading 40 test papers. At this rate how many mins will she take to grade 120 test papers a. 2hours & 24mins b. 3hours &24mins c. 3hours e. 2hours &44mins
244.) Ms. Daza bought 20 blouses for P2,400 and marked them to sell at P145 each. After selling 16 pieces at this rate, she decided to sell the remaining blouses at a lower price. At what price may she sell each remaining blouse and still realize a profit of P480 on the 20 blouses? a. P140 b. P133 c. P138 d. P135 e. P
245.) Mang Kanor can climb a coconut tree at the rate of 10ft per minute and return at 20ft per minute. If it took him 3 minutes to climb and return, what is the height of the coconut tree? a. 15ft b. 13ft c. 18ft d. 10ft e. 20ft
246.) A laundry women bought a washing machine cost P1350. Before, it cost her P250 to wash clothes but now with the washing machine, it cost her P160 in washing clothes. In how many months she has to pay her washing machine from her savings? a. 20 b. 18 c. 24 d. 15 e. 16
247.) James is 9 years older than Kevin. Two years ago, his age was twice that of Kevin’s age. How old is James? a. 18 b. 22 c. 14 d. 20 yo e. 16
248.) A printing press prints books at a production cost of P80 per book and incurs monthly overhead expenses of P12,000. If each book sells for P110, how many books should be printed and sold in a month to break even? a. 350 b. 400 c. 450 d. 500 e. 550
249.) A certain number is doubled and then divided by 8. If after subtracting 4 from the result gives 16. What is the original number? a. 48 b. 64 c. 70 d. 80 e. 100
250.) A certain number is tripled and then divide by 4. If adding 13 to the result gives 58, what is the original number? a. 40 b. 60 c. 80 d. 120 e. 140
251.) One third of a certain number added to 1/5 of the next consecutive number is 5. What is the sum of the two numbers? a. 23 b. 21 c. 19 d. 17 e. 15
252.) The sum of the three numbers is 94. The first number is 3/5 of the second and the second is 4/3 of the third. What are the three numbers? a. 12, 46, 36 b. 19, 43, 32 c. 20, 39, 35 d. 24, 40, 30 e. 28, 37, 29
253.) If the sum of three consecutive integers is 9 less than 5 times the smallest of the three integers, what is the sum of the three consecutive integers? a. 19 b. 21 c. 23 d. 25 e. 27
254.) If the sum of 5 consecutive numbers is 95, what is the third number? a. 17 b. 18 c. 19 d. 20 e. 21
255.) If 1.5 = 1.8/(x+2) then x =? a. – 1.4 b. – 0.8 c. 0.2 d. 0.8 e. 1.
256.) A larger number divided by a smaller number gives a quotient of 3 with a remainder of 5. If the sum of the numbers is 77, what is the larger number? a. 62 b. 61 c. 60 d. 59 e. 58
257.) A man makes a deposit of P800. If his deposit consists of 25 bills some P50 and the rest P20. How many P bills does he have? a. 15 b. 17 c. 20 d. 22 e. 25
258.) Freddie has 37 bills of P20 and P10 amounting P520, how many P20 bills does he have? a. 15 b. 17 c. 20 d. 22 e. 25
259.) Three measures were recorded 53, 60, and 58. What additional measure should be added so that the average of the four measures will be 60? a. 69 b. 68 c. 67 d. 65 e. 60
260.) Three boys weigh 55 kilos, 45 kilos, and 51 kilos respectively. What must be the weight of the fourth boy if the average weight of the following boys is 52 kilos? a. 59 b. 58 c. 57 d. 54 e. 52
261.) A race car travelled for 2 1/2 hours with an average speed of 132 5/8 km per hour. Find the total distance it covered. a. 264 5/16 b. 331 9/16 c. 132 5/8 d. 300 5/
262.) Find four consecutive even integers such that the sum of the second and the fourth integers is 76. a. 24, 26, 28, 30 b. 30, 32, 34, 36 c. 40, 42, 44, 46 d. 34, 36, 38, 40
281.) Concrete is made of a mixture of cement, sand and gravel. If the weight is twice the weight of sand and the weight of cement is three fifths of the weight of sand, how many kilograms of each are required to make 540 kilograms of concrete? a. C = 90, S = 150, G = 300 c. C = 100, S = 240, G = 200 b. C = 150, S = 90, G = 300 d. C = 80, S = 200, G = 260
282.) Find a number such that 5 more than one-half the number is three times the number. a. 2 b. 4 c. 6 d. 8 e. 10
283.) If 3x = 2y and 6y = 7z, what is the RATIO of x to z? a. 2:3 b. 7:9 c. 3:2 d. 5:7 e. 6:
284.) If the perimeter of a rectangle is 18 inches, and one side is one inch longer than the other, how long are the sides? a. 4 & 5 b. 6 & 5 c. 3 & 6 d. 4 & 6
285.) John is 3 years older than Jim. Jim is 4 years less than twice David's age. How old are the three boys if their ages add up to 35? a. 9, 13 & 15 b. 7, 10 & 18 c. 8, 12 & 15 d. 8, 12 & 18
286.) The sum of two consecutive odd numbers is 72. Find the two numbers. a. 33 and 35 b. 35 and 37 c. 37 and 39 d. 39 and 41
287.) Jim is 3 times as old as his cousin and the difference in their ages is 18. How old is Jim? a. 45 b. 27 c. 50 d. 36
288.) What is the hypotenuse of a right triangle if its two sides measure 15 inches and 8 inches? a. 15 b. 16 c. 17 d. 18
289.) In a warehouse, the distribution of jeans, shirts, and socks are in the ratio of 5:3:2. If there are 160 pairs of jeans, how many socks are there? a. 64 b. 66 c. 68 d. 70
290.) The ratio of adults to children in a community is 7:82. If there are 203 adults, how many children are there?. a. 1,958 b. 2,168 c. 2,378 d. 2,
291.) 18÷9×(9-7) =? a. 1 b. 9 c. 16 d. 4
292.) 3+3×3-3+3 =? a. 18 b. 12 c. 3 d. 6
293.) If 2x – 3y = 6, then 6y – 4x = a. – 12 b. – 6 c. 6 d. 12
294.) A sum of money is to be distributed among A, B, C, D in the ratio of 5:2:4:3. If C gets P1000.00 more than D, what is B’s share? a. 500 b. 150 c. 2,000 d. 2,500 e. 1,
295.) If there are 5 people, Anna, Brenda, Cathy, Danny, and Elaine, and only three will be chosen for the new Nursing Coordinators, how many combinations are possible for the committee? a. 5 b. 10 c. 8 d. 15 e. 6
296.) Antonio is as old as the combined age of her two brothers Bendito and Cristiano. But Cristiano is two years older than Bendito. The combined age of the three last year was 3/4 their combined ages at present. How old is Bendito now? a. 6 b. 2 c. 4 d. 8 e. 10
297.) In a mixture of 35 litres, the ratio of milk and water is 4:1. If 7 litres of water is added to the mixture, the ratio of milk and water of the new mixture will be ____ a. 2:1 b. 1:2 c. 4:5 d. 5:
298.) A water container has 250 ml of water in it and is 10% full. How many ml of water can this container hold if it is in full capacity? a. 225 b. 2,250 c. 2,000 d. 2,
299.) Of the final grades received by the students in a certain math course, 1/5 are A's, 1/4 are B's, 1/2 are C's, and the remaining 10 grades are D's. What is the number of students in the course? a. 80 b. 110 c. 160 d. 200 e. 400
300.) Two carpenters are building each small dog house. Carpenter A started building his at 1:00pm and ended at 5:30pm. Carpenter B, being a newbie is more slower than A by half. At what time must carpenter B start building so that he can end at the same time with A? a. 8:30am b. 3:45pm c. 11:30am d. 11:15am e. 10:45am
READ these INSPIRATIONAL QUOTES... I hope these words will somehow help motivate you to study, review, pass all exams and be successful in life... and become an inspiration to others...
“Success is no accident. It is hard work, perseverance, learning, studying, sacrifice and most of all, love of what you are doing or learning to do.”
“Success is not final, failure is not fatal; it is the courage to continue that counts.”
“Allow yourself to be a beginner. No one starts off being excellent.”
“Be stronger than your excuses.”
“The earlier you start working on something, the earlier you will see results.” “You don’t have to be great to start. But you have to start to be great.”
“The distance between dreams and reality is called action.”
“Success is the sum of small efforts, repeated day in and day out.”
"Trust in the LORD with all your heart and lean not on your own understanding." Pro 3:
"Seek first the kingdom of God and His righteousness, and all these things will be added unto you." Mt 6:
Learning is a lifelong process. It does not stop after you graduate or landed a job of your dream. In fact, the more you learn new things, the more you realized how little you already know. Education can change lives. In fact, if you are educated, you can’t only make your life better, but you can also improve and touch the lives of other people.
I wish you all good luck and success... God bless to all of you...
Sincerely helping you without asking in return,
Leonalyn Mutia-Tayone