Daily Exam 3 – Algebra 2 – Additonal – 01

Find a positive value of x so that 4x, 5x + 4 and 3x² – 1 will be in A.P.

2

Correct Incorrect Correct answer

4

Correct Incorrect Correct answer

3

Correct Incorrect Correct answer

5

Correct Incorrect Correct answer

If the 5ᵗʰ term in A.P. is 17 and the 3rd term is 10, what is the 8th term?

27.5

Correct Incorrect Correct answer

36

Correct Incorrect Correct answer

38

Correct Incorrect Correct answer

24.5

Correct Incorrect Correct answer

Find the sum of the first 40 even numbers.

1640

Correct Incorrect Correct answer

3280

Correct Incorrect Correct answer

820

Correct Incorrect Correct answer

410

Correct Incorrect Correct answer

Find the sum of all odd integers between 100 and 1000.

247500

Correct Incorrect Correct answer

374200

Correct Incorrect Correct answer

148500

Correct Incorrect Correct answer

454500

Correct Incorrect Correct answer

Find the sum of the integers between 2 and 100 which is divided by 3.

1484

Correct Incorrect Correct answer

1683

Correct Incorrect Correct answer

1699

Correct Incorrect Correct answer

4299

Correct Incorrect Correct answer

The sum of an A.P. is 196. If the 1st term is 52 and the last term is 4, determine the number of arithmetic mean between 52 and 4.

4

Correct Incorrect Correct answer

5

Correct Incorrect Correct answer

6

Correct Incorrect Correct answer

7

Correct Incorrect Correct answer

Find the number of terms for a progression 5, 8, 11, 14… whose sum is 1025.

20

Correct Incorrect Correct answer

25

Correct Incorrect Correct answer

30

Correct Incorrect Correct answer

22

Correct Incorrect Correct answer

The sum of the five arithmetic mean between 34 and 42 is:

190

Correct Incorrect Correct answer

266

Correct Incorrect Correct answer

242

Correct Incorrect Correct answer

184

Correct Incorrect Correct answer

The sum of the first seven term in A.P. is 49. If the 6th term is 15, what is the first term?

-5

Correct Incorrect Correct answer

-6

Correct Incorrect Correct answer

5

Correct Incorrect Correct answer

-6

Correct Incorrect Correct answer

The first and the last term of a G.P. is equal to 6 and 486 respectively. If the sum of all terms is 726, find the number of terms.

5

Correct Incorrect Correct answer

6

Correct Incorrect Correct answer

8

Correct Incorrect Correct answer

7

Correct Incorrect Correct answer

The number x, 2x + 7, 10x — 7 form a G.P. Find the value of x:

7

Correct Incorrect Correct answer

5

Correct Incorrect Correct answer

3

Correct Incorrect Correct answer

4

Correct Incorrect Correct answer

The number 28, x + 2, 112 form a G.P. What is the 10th term?

1733

Correct Incorrect Correct answer

14336

Correct Incorrect Correct answer

16336

Correct Incorrect Correct answer

15336

Correct Incorrect Correct answer

Find the geometric mean 6 and 24.

10

Correct Incorrect Correct answer

8

Correct Incorrect Correct answer

12

Correct Incorrect Correct answer

16

Correct Incorrect Correct answer

The sum of the terms in G.P. is 1820. How many terms are there if the first term is 5, the second term is 15 and the third term is 45?

5

Correct Incorrect Correct answer

6

Correct Incorrect Correct answer

7

Correct Incorrect Correct answer

8

Correct Incorrect Correct answer

A body dropped from a height falls 16 m during the first second, 48 m in the next second, 144 m on the third second and so on. Find how far the body falls during the 7th second.

11664

Correct Incorrect Correct answer

13200

Correct Incorrect Correct answer

18620

Correct Incorrect Correct answer

14164

Correct Incorrect Correct answer

The sides of a square is 6 cm long. A second square is inscribed by joining the midpoint of the sides of the second square and so on. Find the sum of the areas of the infinite number of inscribed squares thus formed.

72

Correct Incorrect Correct answer

36

Correct Incorrect Correct answer

144

Correct Incorrect Correct answer

216

Correct Incorrect Correct answer

Find the total distance traveled by the tip of a pendulum if the distance of the first swing is 6 cm and the distance of each succeeding swing is 0.98 of the distance of the previous swing.

300

Correct Incorrect Correct answer

200

Correct Incorrect Correct answer

250

Correct Incorrect Correct answer

350

Correct Incorrect Correct answer

How many 3-digits number can be made out of the numbers 0, 1, 3, 5, 6, 7 and 9 if no repetition allowed.

343

Correct Incorrect Correct answer

282

Correct Incorrect Correct answer

210

Correct Incorrect Correct answer

193

Correct Incorrect Correct answer

How many permutations can be made out of the letters in the word COMPUTER taken 4 at a time?

336

Correct Incorrect Correct answer

1680

Correct Incorrect Correct answer

6720

Correct Incorrect Correct answer

20160

Correct Incorrect Correct answer

How many four digits numbers can be formed by the use digits 1, 2, 3, 4 and 6 without repeating any digits?

120

Correct Incorrect Correct answer

320

Correct Incorrect Correct answer

280

Correct Incorrect Correct answer

360

Correct Incorrect Correct answer

In how many ways can 4 persons be seated in a room where there are 9 seats?

3024 ways

Correct Incorrect Correct answer

2400 ways

Correct Incorrect Correct answer

3940 ways

Correct Incorrect Correct answer

4010 ways

Correct Incorrect Correct answer

How many four-digit numbers can be formed by the use of digits 1, 2, 3, 4, 6 and 7, if one digit is used only once in one number?

240

Correct Incorrect Correct answer

320

Correct Incorrect Correct answer

280

Correct Incorrect Correct answer

360

Correct Incorrect Correct answer

In a licensure examination, an examinee may select 7 problems from a set of 10 questions. In how many ways can he make his choice?

100 ways

Correct Incorrect Correct answer

150 ways

Correct Incorrect Correct answer

50 ways

Correct Incorrect Correct answer

120 ways

Correct Incorrect Correct answer

Three copies of mathematics books,4 copies of Surveying books and 5 copies of Hydraulics books are covered with covers of different colors of each kind of book. In how many ways can they be placed on a shelf?

27720 ways

Correct Incorrect Correct answer

22170 ways

Correct Incorrect Correct answer

10330 ways

Correct Incorrect Correct answer

32490 ways

Correct Incorrect Correct answer

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Daily Exam 3 – Algebra 2 – Additonal – 01

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