Mock Test For NTHP-25 -

Welcome to your Mock Test For NTHP-25

Name

1. The average of 5 consecutive integers starting with m as the first integer is n. what is the average of 9 consecutive integers that also start with m?

a. m+6

b. m+8

c. n+2

d. n+4

None

2. The mode of a set of 4 positive integers is 7. What is the least possible value of the sum of these 4 integer?

a. 14

b. 16

c. 17

d. 18

None

3. If |x - 4| > 6 which of the following could be the value of x? I. 10 II. 11 III. -2

a. I only

b. II only

c. III only

d. I and II only

None

4. If |W| < 25 then

a. W < 25

b. W > - 25

c. W - 25

d. W >= - 25

e. W <= - 25

None

5. For how many integer values of b is 6+3> 0 and 1 > 26 - 9?

a. Four

b. Five

c. Six

d. Seven

e. Eight

None

6. If-3 < 2x + 5 < 9, which of the following CANNOT be a possible value of x?

a. -2

b. -1

c. 0

d. 1

e. 2

None

7. By how much does the sum of the roots of the equation (x + 1)(x-3) = 0 exceed the product of its roots ?

a. 1

b. 2

c. 3

d. 4

e. 5

None

8. x – z = 7 ,x + y = 3,z – y = 6,8. For the above system of three equations, x =

a. 5

b.6

c. 7

d. 8

e. 9

None

9. If x²- 63x - 64 = 0 and p and n are integers such that p" = x, which of the following CANNOT be a value for p?

a. -8

b. -4

c. -1

d. 4

e. 64

None

10. If ax^2 - bx = ay^2 + by then a/b

a.1/(x-y)

b.1/(x+y)

c. (x-y)/(x+y)

x+y / x-y

None

11. If a - b = p and a + b = k then a2 – b2 =

a. pk

b. p2 – k2

c. p + k

d. k2 – p2

None

12. If c = b + 1 and p = 4b + 5 which of the following is an expression for p, in terms of c?

a. 4c

b. 4c – 4

c. c+1/4

d. 4c + 1

e. 4c + 9

None

13. If 1/p+q = r and p ≠ q what is p in terms of r and q?

a.1/r+q

b. 1/r-q

c. r/1+rq

d. 1-rq/r

None

14. When the number k is multiplied by 5, the result is the same as when 5 is added to k. What is the value of k?

a. 4/5

b. 5/4

c. 3/2

d. 7/4

None

15. After a 20% increase, the new price of a radio is $78.00. What was the original price of the radio?

a. $15.60

b. $60.00

c. $62.40

d. $65.00

None

16. Jack's weight first increased by 20% and then his new weight decreased by 25%. His final weight is what percent of his beginning weight?

a. 95%

b. 92.5%

c. 90%

d. 88.5%

None

17. After Arlene pumps gas into the gas tank of her car, the gas gauge moves from exactly 1/8 full to exactly 7/8 full. If the gas costs $1.50 per gallon and Arlene is charged $18.00 for the gas, what is the capacity, in gallons, of the gas tank?

a. 24

b. 20

c. 18

d. 16

None

18. A water tank is 3/5 full. After 12 gallons are poured out, the tank is 1/3 full. When the tank is full, how many gallons of water does it hold?

a. 25

b. 32

c. 35

d. 42

e. 45

None

19. The value obtained by increasing a by 1/5 of its value is numerically equal to the value obtained by decreasing b by of 1/2 its value. Which equation expresses this fact?

a. 1.2a = 0.56

b. 0.2a = 0.56

c. 0.8a = 1.56

d. 1.2a = 1.56

None

20. An electrician can install 5 light fixtures in 3 hours. Working at that rate, how long will it take the electrician to install 8 light fixtures?

3 whole 4/5 hours

4 whole 4/5 hours

1 whole 4/5 hours

2 whole 4/5 hours

None

21. If a car is traveling at a constant rate of 45 miles per hour, how many miles does it travel from 10:40 A.M. to 1:00 P.M. of the same day?

a. 165

b. 150

c. 120

d. 105

e. 90

None

22. The price per person to rent a limousine for a prom varies inversely with the number of passengers. If nine people rent the limousine, the cost is $70 each. How many people are renting the limousine when the cost per couple is $105?

a. 4

b. 6

c. 8

d. 12

e. 16

None

23. A recipe for 4 servings requires salt and pepper to be added in the ratio of 2: 3. If the recipe is adjusted from 4 to 8 servings, what is the ratio of the salt and pepper that must now be added?

a. 4:3

b. 2:6

c. 2:3

d. 3:2

e. 8:4

None

24. If 3x years from today Reyna will be (3y + 4) times her present age, what is Reyna's present age in terms of x and y?

a. 3x/4(y-1)

b. 3x/3y+4

c. x/y+1

d. 3x/4y

None

25. If x is the least of 4 consecutive even integers whose sum is S, what is x in terms of S?

a. s/4 - 3

b. 3(s+3)/4

c. (s+3)/4

4s/3

None

26. A number a increased by 20% of a results in a number b. When b is decreased by 33% of b, the result is c. The number c is what percent of a?

a. 40%

b. 60%

c. 80%

d. 120%

None

27. In a high school that has a total of 950 students, the number of seniors is 4 of the number of juniors, and the number of juniors is of the number of sophomores. If this school has the same number of freshmen as sophomores, how many students are seniors?

a. 120

b. 150

c. 180

d. 200

None

28. When 2 times a number n is decreased by 5, the result is at least 11. Which of the following expressions represents the sentence above?

a. 2(n - 5) >= 11

b. 2n - 5 <= 11

c. 2n - 5 >= 11

d. 2n - 5 = 11

None

29. If y varies inversely as the square of x, and y = 6 when x = 2 , what is the value of y when x = 4

a. 3

b. 1.5

c. 1

d. 0.75

None

30. A car's fuel consumption C varies directly as the distance traveled DDD and inversely as the speed S. If the car uses 8 liters of fuel to travel 200 kilometers at a speed of 50 km/h, how many liters of fuel will it consume if it travels 300 kilometers at a speed of 60 km/h?

a. 9 liters

b. 10 liters

c. 12 liters

d. 15 liters

None

31. If two cans of shrimps cost $14, what is the unit rate and what is the cost of 9 cans of shrimps?

a. $63

b. $64

c. $65

d. $66

None

32. If the measures of the angles of a triangle are in the ratio of 3: 4: 5, what is the measure of the smallest angle of the triangle?

a. 25

b. 30

c. 45

d. 60

None

33. In the figure above, if BC ||AD, what is the length of line segment CD?

a. 6√2

b. 8√2

c. 12√2

d. 15

None

34. How many different triangles are there for which the lengths of the sides are 3, 8, and n. Where is an integer and 3 < n < 8?

a. Two

b. Three

c. Four

d. Five

None

35. The area of square ABCD in the figure above is 121. Line segments EF and GH are drawn parallel to the sides of the square. If the area of rectangle FKHC is 6 and the area of rectangle EKHB is 16, what is the area of rectangle GDFK?

a. 21

b. 24

c. 27

d. 32

None

36. Circles O and P intersect at exactly one point, as shown in the figure above. If the radius of circle O is 2 and the radius of circle P is 6, what is the circumference of any circle that has OP as a diameter?

a. 4π

b. 8π

c. 12π

d. 16π

e. 64π

None

37. A rectangular fish tank has a base 2 feet wide and 3 feet long. When the tank is partially filled with water, a solid cube with an edge length of 1 foot is placed in the tank. If no overflow of water from the tank is assumed, by how many inches will the level of the water in the tank rise when the cube becomes completely submerged?

a. 1/6

b. 1/2

c. 2

d. 3

e. 4

None

38. If f(x) = 2x – 1 and g(x) = √(x2-8) what is the difference between f(x) and g(x) when x =3?

a. 1

b. 3

c. 5

d. 7

None

39. The length, width, and height of a rectangular solid are in the ratio of 3:2:1. If the volume of the box is 48, what is the total surface area of the box?

a. 27

b. 32

c. 44

d. 64

e. 88

None

40. If the function f(x) is defined as f(x) = 5x - 3 which of the following functions is equal to -1(x)?

a. 3x - 5

b. 5x + 3

c. (x+3)/5

d. (x-3)/5

None

41. Given that f(x) = 3x - 5 and that f(a) = 25 what is the value of a?

a. 70

b. 20

c. 10

d. 5

None

42. How many 3 digit positive integers exist that when divided by 3 leave a remainder of 2?

a. 150

b. 200

c. 250

d. 300

None

43. If the product of five numbers is positive then at most how many of the five numbers could be negative?

a. one

b. two

c. three

d. four

e. five

None

44. Roots of the equation x2 + 2x + 3 = 0 are

a. Real and equal

b. Real and distinct

c. Complex

d. None of these

None

45. If the polynomial x3 + 4x2 - 2x + 5 is divided by x + 1 then the remainder is

a. 4

b. 6

c. 8

d. 10

None

46. What must be the average arithmetic mean of 4 consecutive even numbers?

a. An even number.

b. An odd number.

c. A non-integer.

d. None of the above

None

47. Find the set of all values satisfying the inequality: |x - 3| < 10

a. 7 < x < 13

b. 7 < x < 0

c. 0 < x < 13

d. x 7

None

48. If 6(x + 1) - 2(x - 2) = a(x + 2) + 2(x + 3) has infinite number of possible solutions, then a = ?

a. 0

b. 2

c. 3

d. 4

None

49. If x is directly proportional to y, and x - 3 when y = 18 what is the value of y when x = 2

a. 6

b. 8

c. 9

d. 12

None

50. If y varies inversely as the square of x. and y = 9 when x = 3 then what is the value of y when x =9?

a. 1

b. 3

c. 9

d. 27

e. 81

None

What is one cause of exam phobia mentioned in the passage?

PART-II (ENGLISH) READING COMPREHENSION Read the following passage carefully and answer the questions set below it. Exam phobia, or test anxiety, is a common experience for students worldwide. It often stems from the fear of failure, high expectations, or a lack of preparation. Symptoms of exam phobia can include sweating, a racing heart, and difficulty concentrating. Despite these challenges, there are ways to manage this anxiety effectively. Techniques such as proper time management, relaxation exercises, and seeking support from teachers or counselors can help students cope. While exam phobia can be overwhelming, it is important to remember that exams are just one part of the learning journey. Developing a positive mindset and focusing on personal growth rather than perfection can make a significant difference.

High expectations

B. Reduced anxiety

C. Better time management

D. Overconfidence

None

What is one cause 2. Which symptom is commonly associated with exam phobia?of exam phobia mentioned in the passage?

A. Joyful feelings

B. Racing heart

C. Enhanced focus

D. Increased energy

None

Hint

3. What is one suggested way to manage exam phobia?

A. Avoid exams completely

B. Seek support from teachers or counselors

C. Ignore the anxiety

D. Reduce study hours

None

Hint

4. What does the passage suggest about exams?

A. They are the only measure of success.

B. They are just one part of the learning journey.

C. They always induce anxiety.

D. They have no value in education.

None

Hint

5. What does the word "cope" most closely mean in the context of the passage?

A. Struggle

B. Avoid

C. Ignore

D. Deal with

None

Hint

6. Why does the author emphasize relaxation exercises as a technique?

A. To eliminate the need for studying

B. To help students reduce stress and improve focus

C. To discourage fear of failure

D. To replace counseling services

None

Hint

7. How might focusing on personal growth help students with exam phobia?

A. By shifting focus from fear to improvement

B. By ensuring high scores in every test

C. By reducing the need for time management

D. By making exams unnecessary

None

Hint

8. What does the author imply about the relationship between anxiety and preparation?

A. Anxiety is unrelated to preparation.

B. Anxiety increases with preparation.

C. Proper preparation can reduce anxiety.

D. Preparation does not impact anxiety.

None

Hint

9. Why does the author describe exams as "just one part of the learning journey"?

A. To highlight the importance of holistic education

B. To discourage students from studying

C. To suggest that exams are unnecessary

D. To emphasize the pressure of academic success

None

Hint

10. What is the overall purpose of the passage?

A. To provide strategies for managing exam phobia

B. To criticize the educational system

C. To highlight the disadvantages of exams

D. To promote the importance of counseling

None

Hint

Vocabulary: Synonyms

11. The actor's performance was captivating, holding the audience's attention throughout.

A. Dull

B. Engaging

C. Confusing

D. Distracting

None

Hint

Vocabulary: Synonyms

12. The serene lake offered a sense of calm and peace to visitors.

A. Tranquil

B. Chaotic

C. Stormy

D. Rough

None

Hint

Vocabulary: Synonyms

13. Her jubilant reaction to the news brightened everyone's day.

A. Cheerful

B. Indifferent

C. Sad

D. Nervous

None

Hint

Vocabulary: Synonyms

14. The innovation presented by the scientist was groundbreaking in its field.

A. Traditional

B. Revolutionary

C. Ordinary

D. Outdated

None

Hint

Vocabulary: Synonyms

15. The obscure meaning of the poem left many readers puzzled.

A. Clear

B. Hidden

C. Obvious

D. Transparent

None

Hint

VOCABULARY: ANTONYMS

16. His explanation was lucid, making the topic easy to understand.

A. Clear

B. Confusing

D. Logical

D. Transparent

None

Hint

VOCABULARY: ANTONYMS

17. The event was mundane, failing to excite the attendees.

A. Exciting

B. Ordinary

C. Routine

D. Predictable

None

Hint

VOCABULARY: ANTONYMS

18. Her approach to the problem was pragmatic, focusing on practical solutions.

A. Realistic

B. Sensible

C. Theoretical

D. Practical

None

Hint

VOCABULARY: ANTONYMS

19. His remarks were succinct, delivering the message in few words.

A. Concise

B. Compact

C. Lengthy

D. Brief

None

Hint

VOCABULARY: ANTONYMS

20. The decision was impartial, showing no bias or favoritism.

A. Unbiased

B. Prejudiced

C. Fair

D. Neutral

None

Hint

21. The meeting will be held ___ 3 p.m. tomorrow.

Use of Preposition

A. in

B. at

C. on

D. to

None

Hint

22. I left my keys ___ the kitchen counter.

Use of Preposition

A. on

B. in

C. at

D. onto

None

Hint

23. She jumped ___ the pool to cool off after the workout.

Use of Preposition

A. on

B. into

C. at

D. onto

None

Hint

24. The book you’re looking for is right ___ the shelf next to the window.

Use of Preposition

A. on

B. into

C. at

D. onto

None

Hint

25. They walked ___ the room and sat down at the table.

Use of Preposition

A. on

B. into

C. at

D. onto

None

Hint

26. She always goes to the market and do her shopping in the morning.

Error Detection

She

Goes

Shopping

None

Hint

27. I suggested her to join the meeting as soon as possible.

Error Detection

suggested

her

join

as soon

None

Hint

28. He was the last one to arrive, so he had to wait for others.

Error Detection

to arrive

had

for

None

Hint

29. Each of the students are required to submit their assignments by Monday.

Error Detection

Each

are

required

submit

None

Hint

30. The committee, along with its members, have decided to postpone the meeting.

Error Detection

committee

along with

have decided

postpone

None

Hint

31. She ___ to the office every day before 9 a.m.

USE OF VERBS

A. arrives

B. arrive

C. arrived

D. arriving

None

Hint

32. They ___ in the park when it suddenly began to rain.

USE OF VERBS

A. play

B. are playing

C. were playing

D. played

None

Hint

33. I ___ my homework before dinner every evening.

USE OF VERBS

A. do

B. done

C. does

D. did

None

Hint

34. By the time I finished my work, they ___ to the party.

USE OF VERBS

A. had already gone

B. already gone

C. have gone

D. gone

None

Hint

35. She ___ with her friends when I saw her in the park.

USE OF VERBS

A. talks

B. talking

C. was talking

D. talked

None

Hint

36. The actor’s performance was so impressive that the audience couldn’t help but ………… in awe.

USE OF PAIRS OF WORDS

A. stand, standing

B. stand, stood

C. stood, stand

D. standing, stand

None

Hint

37. The teacher asked the students to ………… their assignments before the deadline to ………… the quality of their work.

USE OF PAIRS OF WORDS

A. submit, ensure

B. submitting, ensured

C. submit, ensuring

D. submits, ensure

None

Hint

38. The company had to ………… its old policies and ………… new guidelines to improve employee performance.

USE OF PAIRS OF WORDS

A. revise, implement

B. revise, revising

C. revising, implementing

D. revised, implements

None

Hint

39. The boy who was an ………… to his family’s wealth lived in an extravagant ………….

USE OF PAIRS OF WORDS

A. heir, heir

B. heir, hair

C. heir, home

D. heir, hobby

None

Hint

40. The woman was extremely ………… about her new job, and she could not ………… her excitement.

USE OF PAIRS OF WORDS

A. happy, hide

B. excited, hide

C. excited, hides

D. happy, hid

None

Hint

41. If I had more time, I would have completed the project.

USE OF TENSES

A. Past perfect tense

B. Present perfect tense

C. Future perfect tense

D. Present indefinite tense

None

Hint

42. The team is to finish the project by tomorrow.

USE OF TENSES

A. Present indefinite tense

B. Future indefinite tense

C. Present continuous tense

D. Past indefinite tense

None

Hint

43. By the time the meeting starts, she will have completed her presentation.

USE OF TENSES

A. Future continuous tense

B. Future perfect tense

C. Present perfect tense

D. Past perfect tense

None

Hint

44. They have been working on the project for two months now.

USE OF TENSES

A. Past indefinite tense

B. Present perfect continuous tense

C. Present continuous tense

D. Future perfect tense

None

Hint

45. The students were in the classroom when the bell rang.

USE OF TENSES

A. Past perfect tense

B. Past continuous tense

C. Present continuous tense

D. Future continuous tense

None

Hint

46. Which is the correct spelling?

SPELLING CORRECTION

A. Definately

B. Definetly

C. Definitely

D. Definately

None

Hint

47. Identify the correct spelling:

SPELLING CORRECTION

A. Acquaintance

B. Acquaintence

C. Acountance

D. Acquintance

None

Hint

48. Select the word that is spelled correctly:

SPELLING CORRECTION

A. Pneumonia

B. Neumonia

C. Pnuemonia

D. Pneumonia

None

Hint

50. Choose the correct spelling:

SPELLING CORRECTION

A. Miscellaneous

B. Mischellaneous

C. Missellaneous

D. Mischelaneous

None

Hint

1 out of 100

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