Quiz about Pre-Test - Category 1 and 2

Question 1

Solve: (MMMDCIXXX - MMCCC) + (MLIX + V) + MMLXIXIII))

Accepted Answer

MMCCCXCIV

Answer

MMCCL

Answer

MMDCLX

Answer

MMXXXVIII

Question 2

Solve: (MMMDCIXXX - MMCCC) + (MLIX + V) + MMLXIXIII100

Accepted Answer

MMCCCXCIV

Answer

MMCCL

Answer

MMDCLX

Answer

MMXXXVIII

Question 3

How many whole numbers smaller than 1000 that are divisible by 3 can be formed by arranging the following digits 2, 4, 6, and 9. For each number, each digit can only be used once.

Accepted Answer

40

Answer

50

Answer

30

Answer

20

Question 4

The radii of two circles are 7 and 14. What is the ratio of the circumference of the first circle and the area of the second circle?

Accepted Answer

1/14

Answer

1/7

Answer

1/21

Answer

1/22

Question 5

There are two plants in the school garden. One is 45cm tall, and it grows 4 cm every 2 years. The other is 81 cm tall and it grows 6cm every 6 years. In how many years will the two plants have the same height?

Accepted Answer

36

Answer

20

Answer

5

Answer

45

Question 6

. I added the first ten whole numbers greater than 0. I forgot to include one whole number and I got 50 as the sum. Which one of these ten whole numbers I did not add?

Accepted Answer

5

Answer

9

Answer

7

Answer

3

Question 7

Sam is building a staircase. Each step is made up of 3 blocks, and each new step has 2 more blocks than the previous step. If the staircase has 15 steps, how many blocks will Sam need in total?

Accepted Answer

255

Answer

257

Answer

231

Answer

189

Question 8

Mary Rose listed all her sold cookie boxes this week. To keep track of her counts, she made this graph. Mary Rose sold twice the number of cookie boxes on Saturday, as she did on Wednesday. If she sold cookie boxes thrice the number on Sunday as she did on Monday, how many cookie boxes did she sell in the entire week?

Accepted Answer

255

Answer

210

Answer

365

Answer

460

Question 9

A school has four different pools scheduled for different categories in the Intramurals. Pool 1 holds MDCCXLI gallons of water, Pool 2 holds MMMD gallons, Pool 3 holds MMDDDCX gallons and Pool 4 holds MDCCCXIV gallons. Which inequality correctly compares the number of gallons in two of the pools?

Accepted Answer

MDCCXLI > MMDDDCX

Answer

MDCCXLI = MDCCCXIV

Answer

MMDDDCX > MMMD

Answer

MMDDDCX < MDCCCXIV

Question 10

Find A - B if:

Accepted Answer

6

Answer

7

Answer

5

Answer

4

Question 11

How many positive divisors do 50,400 and 567,000 have in common?

Accepted Answer

72

Answer

65

Answer

89

Answer

54

Question 12

Calculate

(20+22+24+26+28+.......+80+82) - (14+16+18+20+.......+42+44)

Accepted Answer

1168

Answer

1169

Answer

1166

Answer

1167

Question 13

50 is 125% of what number?

Accepted Answer

40

Answer

20

Answer

60

Answer

80

Question 14

Ali is making squares using matchsticks. He made the next square by adding more matchsticks to the previous square. How many matchsticks does he have to add to the 4th square to build the 5th square?

Accepted Answer

20

Answer

13

Answer

16

Answer

18

Question 15

If the sum of two positive integers is 16 and the difference of their squares is 64, what is the difference of the two integers?

Accepted Answer

4

Answer

7

Answer

10

Answer

13

Question 16

What is the weight of the big tomato?

Accepted Answer

6

Answer

5

Answer

9

Answer

7

Question 17

Riley wrote a one-digit number, then she wrote another digit to its right. She added 29 to the obtained number and got 97. What is the first digit that she wrote?

Accepted Answer

68

Answer

79

Answer

55

Answer

71

Question 18

A number is added to 3. The sum is then multiplied by 5. When 8 is subtracted from the product, the result is 12. What is the number?

Accepted Answer

12

Answer

18

Answer

29

Answer

13

Question 19

A dictionary uses 1215 digits for its page numbers. How many pages does the dictionary have?

Accepted Answer

441

Answer

471

Answer

510

Answer

312

Question 20

How many three digit numbers can be formed from the umbers 3, 4, 7, and 8?

Accepted Answer

24

Answer

64

Answer

7

Answer

120

Question 21

In how many ways can you arrange six books in a shelf if it has a space only for four books?

Accepted Answer

360 ways

Answer

20 ways

Answer

480 ways

Answer

120 ways

Question 22

A computing machine counts the number of digits of the numbers that run in the program. For instance, the machine counts 10 from the numbers 23, 24, 25, 26 and 27. What will be the total count if the machine will run the integers from 10 up to 120?

Accepted Answer

243

Answer

220

Answer

312

Answer

110

Question 23

In how many ways can we arrange the letters of the word pencil if a vowel should come first?

Accepted Answer

240

Answer

480

Answer

580

Answer

360

Question 24

A square with a perimeter of 40 cm is cut such that it forms congruent rectangles. What is the perimeter of each rectangle?

Accepted Answer

30cm

Answer

50cm

Answer

20cm

Answer

40cm

Question 25

A farm has 3 fields. In the first field, there are 35 apple trees, in the second field, there are 21 orange trees, and in the third field, there are 27 peach trees. Each month, the fruit production doubles. If each apple tree produces 58 apples, each orange tree produces thrice more oranges than apple tree produces, and each peach tree produces 15 peaches less than each orange tree produces, how many fruits does the farm produce in total for 3 months.

Accepted Answer

69, 839

Answer

71, 255

Answer

68, 430

Answer

82, 679

Question 26

If someone is born on June 5, 2000, and you want to know how many days they will have lived by March 1, 2025, excluding their birthdate, how do you calculate it?

Accepted Answer

9, 004

Answer

7, 231

Answer

8, 655

Answer

9, 944

Question 27

The clock shows 6:00. What will the time be 267 hours from now?

Accepted Answer

9:00

Answer

7:45

Answer

8:30

Answer

1:25

Question 28

After the price of condiments went up by 10%, homes reduced their consumption by 10%. What is the percentage change in their usage?

Accepted Answer

Decrease by 1%

Answer

Decrease by 10%

Answer

Increase by 1%

Answer

Increase by 10%

Question 29

If a + b = 10 and a² + b² = 58, what is the value of ab?

Accepted Answer

21

Answer

15

Answer

29

Answer

17

Question 30

Consider the following quotients:

I. 368.39 divided by 17

II. 170.50 divided by 62

III. 875.65 divided by 83

Their correct sequence in decreasing order is:

Accepted Answer

I, III, II

Answer

I, II, III

Answer

II, III, I

Answer

III, I, II

Question 31

Lyn Santos is paid a salary of Php 5, 000/week plus 10% commission on a net sale over Php 50, 000.00 What is her gross wage if her weekly net sales are Php 70, 000.00?

Accepted Answer

Php 7, 000.00

Answer

Php 4, 700.00

Answer

Php 5, 000.00

Answer

Php 2, 000.00

Question 32

A computing machine counts the number of digits of the numbers that run in the program. For instance, the machine counts 10 from the numbers 23, 24, 25, 26 and 27. What will be the total count if the machine will run the integers from 10 up to 120?

Accepted Answer

243

Answer

220

Answer

312

Answer

110

Question 33

A square with a perimeter of 40 cm is cut such that it forms congruent rectangles. What is the perimeter of each rectangle?

Accepted Answer

30cm

Answer

50cm

Answer

20cm

Answer

40cm

Question 34

A factory produces three types of machines: Type A, Type B, and Type C. The ratio of the number of machines produced is 5:7:8, respectively. After some time, the factory increases production as follows: Type A machines increase by 40%, Type B machines increase by 25%, Type C machines increase by 10%, After the increase, the total number of machines produced is 6,720. Find the original number of machines produced for each type before the increase.

Accepted Answer

Type A = 1,368

Type B = 1,915

Type C = 2,189

Answer

Type A = 2,592

Type B = 2,551

Type C = 4,218

Answer

Type A = 1,633

Type B = 1,591

Type C = 2,891

Answer

Type A = 2,925

Type B = 2,151

Type C = 2,130

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