1. It is a closed figure formed by line segments so that each segment intersects exactly two others, but only at their endpoints.
A. Parallelogram
B. Polygons
C. Shape
D. Rectangle
2. How many tiles whose length and breadth are 12 cm and 5 cm respectively will be needed to fit in a rectangular region whose length and breadth are respectively 144 cm and 100 cm:
A. 160
B. 240
C. 320
D. 450
3. In the game Yahtzee, five dice are thrown simultaneously. How many outcomes are there for this experiment?
A. 25
B. 3125
C. 30
D. 7776
4. The sum of A and B's age is 43 years. 11 year hence, A's age will be 7/6 times B's age then. Find B's present age. *
A. 22 years B. 20 years C. 24 years D. 19 years
5. It is a sampling technique where in each of the population unit has an equal chance to be drawn. *
A. Systematic random sampling
B. Probability sampling
C. Random sampling
D. Purposive sampling
6. The perimeter of an equilateral △ is 72√3 meters. Find its height.
A. 63 meters
B. 55 meters
C. 40 meters
D. 36 meters
7. Given the following test score: 83, 79, 86, 82, 78, 88, and 84. Find the variance of the data.
A. 12.81
B. 12.9
C. 12.82
D. 12.61
8. The ages of the two persons differ by 20 years. If 5 year ago, the older one be 5 times as old as the younger one, then their present ages, in year are:
A. 25, 5
B. 30, 10
C. 35, 15
D. 50, 30
9. Four equal sized maximum circular plates are cut off from a square paper sheet of area 784 sq.cm. The circumference of each plate is: *
A. 22 cm
B. 44 cm
C. 66 cm
D. 88 cm
10. Defined as the set of all possible outcomes.
A. Event
B. Experiment
C. Sample Space
D. Probability
11. The length, breadth and height of a room are in the ratio 3:2:1. If the breadth and height are halved while the length is doubled, then the total area of the four walls of the room will *
A. remain the same
B. decrease by 13.64%
C. decrease by 15%
D. decrease by 30%
12. 21 pencils and 29 pens cost ₱ 79. But if the number of pencils and pens were interchanged, the cost would have reduced by ₱ 8. Find the cost of each pen. *
A. ₱ 1
B. ₱ 2
C. ₱ 3
D. ₱ 4
13. What is the sample size if the N=10,560 and the confidence level is 99%? *
A. 5136.18
B. 5137
C. 5136.18
D. 5136
14. A closed cylindrical tank is 8 feet long and 3 feet in diameter. When lying in a horizontal position, the water is 2 feet deep. If the tank is in vertical position, the depth of water in the tank is: *
A. 5.67 ft.
B. 5.82 ft.
C. 5.82 ft.
D. 5.87 ft.
15. A student was asked to divide a number by 6 and add 12 to the quotient. He, however first added 12 to the number and then divided it by 6, getting 112 as the answer. The correct answer should have been:
A. 114
B. 118
C. 122
D. 124
16. A cone and sphere have the same radius of 12 cm. Find the height of the cone if the cone and sphere have the same volume.
A. 18 cm
B. 24 cm
C. 36 cm
D. 48 cm
17. Sneh's age is 1/6th of her father's age. Sneh's father's age will be twice of Vimal's age after 10 years. If Vimal's eighth birthday was celebrated 2 years before, then what is Sneh's present age?
A. 7 years
B. 8 years
C. 6 years
D. none of these
18. How many groups of 3 can be formed out of 10 boys?
A. 720
B. 820
C. 120
D. 520
19. Which of the following has most number of divisors?
A. 99
B. 101
C. 176
D. 182
20. 10 percent of particular population has hypertension and 40 percent of the same population has a home computer. What is the probability that an individual from this population has hypertension and owns a home computer? *
A. . 4
B. .25
C. .04
D. .004
21. A girl wrote all the numbers from 100 to 200. Then she started counting the number of one's that has been used while writing all these numbers. What is the number that she got?
A. 111
B. 119
C. 120
D. 121
22. The members of each basketball team wear numbers on the back of their jerseys. What scale of measurement are these numbers considered? *
A. Ratio
B. Nominal
C. Ordinal
D. Interval
23. The LCM of two numbers is 280 and their ratio is 7:8. The two numbers are
A. 70, 80
B. 35, 40
C. 42, 48
D. 28, 32
24. An experiment is made up of five simple events designated A,B,C,D, and E. Given that P(A) = .1, P(B)=.2, P(C)=.3 and P(E)=.2, find P(D). *
A. .2
B. .3
C. .1
D. .4
25. How many five digit multiples of 11 are there, if the five digits are 3, 4, 5, 6 and 7? Repetition of digits is now allowed?
A. 10
B. 11
C. 12
D. 13
26. Refers to a selection of objects with no attention given to their order of arrangement.
A. Probability
B. Combination
C. Permutation
D. Event
27. A certain number when divided by 222 leaves a remainder 35, another number when divided by 407 leaves a remainder 47. What is the remainder when the sum of these two numbers is divided by 37?
A. 8
B. 9
C. 12
D. 17
28. What is the probability that in a roll of a die, the 6th face is not rolled? *
A. .17
B. .33
C. .83
D. .67
29. In the rectangular solid above, the three sides shown have areas 12, 15, and 20, respectively. What is the volume of the solid?
A. 40
B. 50
C. 60
D. 80
30. The occurrence of one of a givens set of events affects the probability of the occurrence of another.
A. Mutually exclusive events
B. Independent events
C. Dependent events
D. Not mutually exclusive
31. The sum of three digit number is subtracted from the number. The resulting number is always:
A. divisible by 6
B. not divisible by 6
C. divisible by 9
D. not divisible by 9
32. Ram's age was square of number last year and it will be cube of a number next year. How long must he wait before his age is again a cube of a number?
A. 10 years
B. 38 years
C. 39 years
D. 46 years
33. When a particular positive number is divided by 5, the remainder is 2. If the same number is divided by 6, the remainder is 1. If the difference between the quotients of division is 3, then find the number.
A. 37
B. 97
C. 67
D. 87
34. It is the average of the set of data and it it’s the center of gravity of a distribution. *
A. Median
B. Mode
C. Mean
D. Midrange
35. A man has 1044 candles. After burning, he can make a new candle from 9 stubs left behind. Find the maximum number of candles that can be made.
A. 116
B. 120
C. 130
D. 140
36. It is a method of collecting data where the researcher prepares well-planned and written questions.
A. Test paper
B. Examination
C. Survey
D. Survey questionnaire
37. The number 3072 is divisible by both 6 and 8. Which one of the following is the first integer larger than 3072 that is also divisible by both 6 and 8?
A. 3084
B. 3086
C. 3090
D. 3096
38. How many permutations can be made with the word COMMITTEE?
A. 45,360
B. 181,440
C. 22,680
D. 90,720
39. A sum of money is to be distributed among A, B, C, D in the proportion of 5:2:4:3. If C gets ₱1000 more than D, what is B's share?
A. ₱ 500
B. ₱ 1500
C. ₱ 2000
D. none
40. What is the mean age of a group of children whose ages are 9, 11, 7, 10, 9, 8, 8, 7, 12, 7, and 13? *
A. 8
B. 11
C. 9
D. 10
41. A sum of ₱ 312 was divided among 100 boys and girls in such a way that the boy gets ₱ 3.60 and each girl ₱ 2.40 the number of girls is
A. 35
B. 40
C. 45
D. 50
42. A student took 3 exams in statistics. He finished the first exam in 45 minutes and got grade of 88; 60 minutes on the 2nd exam, and got 92; and 90 minutes on the 3rd exam and got 85. What was the student’s means score for the three exams? *
A. 86
B. 87
C. 89
D. 88
43. Find the total surface area of a cube of side 6 cm.
A. 214 sq. cm.
B. 216 sq. cm.
C. 226 sq. cm.
D. 236 sq. cm.
44. A container has 5 red balls, 10 white balls and 35 blue balls. What is the probability that the selected ball is red or white? *
A. .3
B. .03
C. .5
D. .2
45. The age of Mr. Chetan in 2002 was 1/90 of his birth year. What is his age in 2006?
A. 30
B. 28
C. 26
D. 22
46. It is a type of data was collected directly from where they arise.
A. Secondary data
B. Second-hand data
C. Ratio data
D. Primary data
47. A regular hexagonal pyramid whose base perimeter is 60 cm. has an altitude of 30 cm. The volume of the pyramid is:
A. 2958 cu. cm.
B. 2598 cu. cm.
C. 2859 cu. cm.
D. 2589 cu. cm.
48. Naveen purchased two oranges, 3 apples and 5 bananas and paid ₱40. Had Naveen purchased 3 oranges, 5 apples and 9 bananas, He would have to pay ₱64. Gagan demanded only 1 orange, 1 apple and 1 banana. If Naveen purchased only what was demanded by Gagan, then how much would he have paid (in Peso)?
A. 16
B. 28
C. 36
D. 24
49. It is the point about which the scores tend to cluster.
A. Position
B. Central tendency
C. Mean
D. Variability
50. The ratio of ages of a father and son is 17:7 respectively. 6 years ago the ratio of their ages was 3:1 respectively. What is the father's present age?
A. 64
B. 51
C. 48
D. 54
