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USTET practice questions

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Question 1Mental Ability

What number comes next in the series 3, 7, 11, 15, ___ ?

  1. 23
  2. 19 Correct answer.
  3. 21
  4. 25

Explanation

Each term is obtained by adding 4 to the previous term (3 + 4 = 7, 7 + 4 = 11, and so on). Applying the same rule to 15 gives 15 + 4 = 19.

Question 2Mental Ability

Complete the letter series: A, D, G, J, ___ .

  1. N
  2. K
  3. P
  4. M Correct answer.

Explanation

Each letter is three places after the previous one (A to D, D to G, G to J). Counting three places past J gives M.

Question 3Mental Ability

Which number does not belong to the group 9, 16, 30, 36?

  1. 30 Correct answer.
  2. 36
  3. 16
  4. 9

Explanation

Three of the numbers are perfect squares: 9 = 3 x 3, 16 = 4 x 4, and 36 = 6 x 6. The number 30 has no whole-number square root, so it is the one that does not fit.

Question 4Mental Ability

Pen is to write as knife is to ___ .

  1. sharp
  2. metal
  3. kitchen
  4. cut Correct answer.

Explanation

A pen is a tool whose purpose is writing, so the second word must name the purpose of a knife. The purpose of a knife is to cut, which completes the analogy.

Question 5Mental Ability

In a certain code, DOG is written as EPH. Using the same code, how is CAT written?

  1. DCU
  2. EBU
  3. DBU Correct answer.
  4. DBT

Explanation

Every letter in the word is replaced by the letter immediately after it in the alphabet (D to E, O to P, G to H). Applying the same one-step shift to CAT gives D, B, U.

Question 6Mental Ability

Pointing to a girl in a photograph, a man says, "She is the daughter of my mother's only son." How is the girl related to the man?

  1. cousin
  2. daughter Correct answer.
  3. sister
  4. niece

Explanation

The man's mother has only one son, and that son is the man himself. The girl is therefore the daughter of the speaker.

Question 7Mental Ability

A man walks 5 metres north, turns right and walks 3 metres, then turns right again and walks 5 metres. Where is he now relative to his starting point?

  1. 5 metres north
  2. 3 metres west
  3. 3 metres east Correct answer.
  4. 8 metres north

Explanation

The first leg goes 5 m north and, after two right turns, the last leg goes 5 m south, so these two movements cancel each other. Only the 3 m leg to the east remains, placing him 3 m east of the start.

Question 8Mental Ability

All roses are flowers. No flower is a stone. Which conclusion follows necessarily?

  1. No rose is a stone Correct answer.
  2. Some flowers are not roses
  3. Some roses are stones
  4. All stones are roses

Explanation

Since every rose is a flower and no flower is a stone, no rose can be a stone. The conclusion follows directly by chaining the two premises.

Question 9Mental Ability

In a class of 40 students, Rina is 12th from the top. What is her rank from the bottom?

  1. 28
  2. 26
  3. 27
  4. 29 Correct answer.

Explanation

Rank from the bottom equals the total number minus the rank from the top plus one, because Rina herself must be counted once. So 40 - 12 + 1 = 29.

Question 10Mental Ability

What number continues the series 1, 4, 9, 16, ___ ?

  1. 36
  2. 20
  3. 25 Correct answer.
  4. 30

Explanation

The terms are the squares of the counting numbers: 1, 4, 9, 16 come from 1 squared, 2 squared, 3 squared and 4 squared. The next term is 5 squared, which is 25.

Question 11Mental Ability

The 10th letter of the alphabet from the left is J. Which letter is 5th to the right of J?

  1. P
  2. M
  3. N
  4. O Correct answer.

Explanation

Counting five letters after J gives K, L, M, N and finally O. Equivalently, O is the 15th letter, which is 10 + 5.

Question 12Mental Ability

Teacher is to school as doctor is to ___ .

  1. nurse
  2. medicine
  3. hospital Correct answer.
  4. patient

Explanation

The first pair links a professional to the place where that professional works: a teacher works in a school. Following the same relationship, a doctor works in a hospital.

Question 13Mental Ability

If MANGO is written as OCPIQ in a certain code, how is APPLE written in that code?

  1. CRRNG Correct answer.
  2. DRRNG
  3. CQRNG
  4. CRSNG

Explanation

Each letter of MANGO is moved two places forward: M to O, A to C, N to P, G to I and O to Q. Applying the same two-step forward shift to APPLE gives C, R, R, N, G.

Question 14Mental Ability

Five friends A, B, C, D and E sit in a row facing north. A is at the extreme left and E is at the extreme right. B sits immediately to the right of A, and C sits immediately to the left of E. Who sits in the middle?

  1. A
  2. C
  3. B
  4. D Correct answer.

Explanation

The left end is A with B next to him, and the right end is E with C beside her, so positions 1 to 5 are A, B, D, C, E. The only person left for position 3, the middle seat, is D.

Question 15Mental Ability

Find the next term: 2, 6, 5, 15, 14, 42, ___ .

  1. 42
  2. 126
  3. 43
  4. 41 Correct answer.

Explanation

The series alternates between multiplying by 3 and subtracting 1: 2 x 3 = 6, 6 - 1 = 5, 5 x 3 = 15, 15 - 1 = 14, 14 x 3 = 42. The next operation is to subtract 1, giving 41.

Question 16Mental Ability

If 4 is related to 64 in the same way that 5 is related to ___ , which number completes the pair?

  1. 125 Correct answer.
  2. 100
  3. 150
  4. 120

Explanation

The relationship is cubing: 4 x 4 x 4 = 64. Cubing 5 in the same way gives 5 x 5 x 5 = 125.

Question 17Mental Ability

Which word does not belong with the others: apple, carrot, banana, mango?

  1. mango
  2. carrot Correct answer.
  3. apple
  4. banana

Explanation

Apple, banana and mango are all fruits, while carrot is a root vegetable. The odd item is the one that is not a fruit.

Question 18Mental Ability

If it rains, the match is cancelled. The match was not cancelled. What follows?

  1. The match was moved indoors
  2. It did not rain Correct answer.
  3. The match was postponed
  4. It rained

Explanation

The statement 'if it rains, the match is cancelled' means that cancellation is unavoidable whenever there is rain. Since the match was not cancelled, rain cannot have occurred, so it did not rain.

Question 19Mental Ability

In a simple code each letter is replaced by its position in the alphabet, so that 8-5-12-12-15 stands for a word. What is the word?

  1. HELL
  2. HELP
  3. HALLO
  4. HELLO Correct answer.

Explanation

Counting through the alphabet, 8 = H, 5 = E, 12 = L, 12 = L and 15 = O. Reading the letters in order gives the five-letter word HELLO.

Question 20Mental Ability

In a group of 30 students, 18 like mathematics, 15 like science, and 8 like both. How many students like neither subject?

  1. 7
  2. 3
  3. 5 Correct answer.
  4. 2

Explanation

Students who like at least one subject number 18 + 15 - 8 = 25, because the 8 who like both were counted twice. Subtracting from the total gives 30 - 25 = 5 students who like neither.

Question 21Mental Ability

What is the next term in the series 2, 3, 5, 9, 17, ___ ?

  1. 35
  2. 32
  3. 31
  4. 33 Correct answer.

Explanation

The differences between consecutive terms are 1, 2, 4 and 8, which double each time. The next difference must be 16, so the following term is 17 + 16 = 33.

Question 22Mental Ability

P is taller than Q but shorter than R. S is shorter than Q. Who is the shortest?

  1. S Correct answer.
  2. Q
  3. P
  4. R

Explanation

R is taller than P, P is taller than Q, and S is shorter than Q, giving the order R, P, Q, S from tallest to shortest. The last person in that chain is S.

Question 23Mental Ability

If today is Wednesday, what day of the week will it be 100 days from today?

  1. Sunday
  2. Friday Correct answer.
  3. Saturday
  4. Thursday

Explanation

Days of the week repeat every 7 days, so divide 100 by 7 to get 14 weeks with a remainder of 2. Moving two days forward from Wednesday lands on Friday.

Question 24Mental Ability

In a certain code the alphabet is numbered backwards, so that Z = 1, Y = 2, and so on up to A = 26. How is the word CAB written in this code?

  1. 24-25-26
  2. 24-26-25 Correct answer.
  3. 26-24-25
  4. 25-24-26

Explanation

Each letter's code equals 27 minus its usual alphabet position. For C (3) the code is 24, for A (1) it is 26, and for B (2) it is 25, giving 24-26-25.

Question 25Mental Ability

In a row of children all facing the same direction, Ana is 7th from the left end and 5th from the right end. How many children are in the row?

  1. 11 Correct answer.
  2. 13
  3. 12
  4. 10

Explanation

Adding the two ranks counts Ana twice, so the total is 7 + 5 - 1 = 11 children. The subtraction of 1 corrects for the double count of Ana herself.

Question 26Mental Ability

What number continues the series 3, 6, 12, 24, 48, ___ ?

  1. 96 Correct answer.
  2. 108
  3. 84
  4. 72

Explanation

Each term is exactly twice the term before it, so the missing term is 48 × 2 = 96.

Question 27Mental Ability

Bird is to nest as bee is to ___ .

  1. honey
  2. hive Correct answer.
  3. sting
  4. flower

Explanation

A nest is the shelter in which a bird lives, so the pair is animal to dwelling; the matching dwelling for a bee is a hive.

Question 28Mental Ability

Which number does not belong with the others: 9, 16, 20, 25?

  1. 25
  2. 20 Correct answer.
  3. 16
  4. 9

Explanation

The numbers 9, 16 and 25 are perfect squares (3², 4² and 5²), while 20 has no whole-number square root, so it is the odd one out.

Question 29Mental Ability

What letter continues the series B, D, G, K, ___ ?

  1. O
  2. M
  3. N
  4. P Correct answer.

Explanation

The gaps grow by one each step: +2 (B to D), +3 (D to G), +4 (G to K), so the next gap is +5; K is the 11th letter and 11 + 5 = 16, which is P.

Question 30Mental Ability

In a certain code each letter of a word is replaced by the letter three places ahead of it in the alphabet. How is CAT written in that code?

  1. FDW Correct answer.
  2. ECV
  3. DBV
  4. GEX

Explanation

Moving each letter three places forward gives C to F, A to D and T to W, so the coded word is FDW.

Question 31Mental Ability

A woman starts at point X, walks 4 km east, then turns left and walks 3 km. How far is she from point X?

  1. 7 km
  2. 1 km
  3. 5 km Correct answer.
  4. 12 km

Explanation

Turning left from east means she walks 3 km north, so her path forms a right triangle with legs 4 km and 3 km; the distance from X is the hypotenuse, which is 5 km.

Question 32Mental Ability

A is the father of B. C is the sister of A. D is the son of C. How is D related to B?

  1. brother
  2. uncle
  3. nephew
  4. cousin Correct answer.

Explanation

C is A's sister, so C's son D and A's child B are children of siblings, which makes them first cousins.

Question 33Mental Ability

In a row of 25 students all facing the front, Maria is 10th from the left end. What is her position from the right end?

  1. 16th Correct answer.
  2. 14th
  3. 15th
  4. 17th

Explanation

Position from the right equals total students minus position from the left plus one: 25 − 10 + 1 = 16, so she is 16th from the right.

Question 34Mental Ability

Some pens are blue. All blue things are round. Which conclusion follows necessarily?

  1. No pen is round.
  2. Some round things are not pens.
  3. Some pens are round. Correct answer.
  4. All round things are pens.

Explanation

The pens that are blue must also be round, because every blue thing is round; therefore at least some pens are round.

Question 35Mental Ability

If 1 January 2024 fell on a Monday, on what day of the week did 1 February 2024 fall?

  1. Wednesday
  2. Saturday
  3. Thursday Correct answer.
  4. Friday

Explanation

January has 31 days, which is 4 weeks plus 3 extra days, so the weekday shifts forward by 3: Monday plus three days is Thursday.

Question 36Mental Ability

A father is 4 times as old as his son. In 6 years, the father will be 3 times as old as the son. How old is the son now?

  1. 8
  2. 10
  3. 14
  4. 12 Correct answer.

Explanation

Let the son's age be s, so the father is 4s. In 6 years 4s + 6 = 3(s + 6), which gives 4s + 6 = 3s + 18 and therefore s = 12.

Question 37Mental Ability

Four friends P, Q, R and S sit in a row. R sits at the left end. Neither P nor S sits at an end. Q sits immediately to the right of P. Who sits at the right end?

  1. Q Correct answer.
  2. R
  3. S
  4. P

Explanation

R occupies the left end and neither P nor S may sit at an end, so the right end must belong to Q; this also works with the seating P third, Q fourth and S second, where Q is immediately right of P.

Question 38Mental Ability

In a survey of 50 people, 30 read newspaper A, 25 read newspaper B, and 10 read both newspapers. How many people read exactly one of the two newspapers?

  1. 30
  2. 45
  3. 20
  4. 35 Correct answer.

Explanation

Those who read only A number 30 − 10 = 20, and those who read only B number 25 − 10 = 15; the total reading exactly one paper is 20 + 15 = 35.

Question 39Mental Ability

What is the size of the angle between the hour hand and the minute hand of a clock at 3:30?

  1. 80°
  2. 65°
  3. 75° Correct answer.
  4. 90°

Explanation

At 3:30 the minute hand points at 180° from 12, while the hour hand has moved halfway between 3 and 4, that is 3.5 × 30° = 105°; the difference is 180° − 105° = 75°.

Question 40Mental Ability

If the letters of the word NUMBER are arranged in alphabetical order, which letter will be fourth from the left?

  1. U
  2. N Correct answer.
  3. R
  4. M

Explanation

The letters of NUMBER sorted alphabetically are B, E, M, N, R, U, so the fourth letter from the left is N.

Question 41English

Each of the students ___ required to submit a project proposal by Friday.

  1. have been
  2. are
  3. were
  4. is Correct answer.

Explanation

The subject is the indefinite pronoun "each," which is always singular, so it takes a singular verb. The phrase "of the students" is a prepositional phrase and does not change the number of the subject. The present tense "is" also matches the future deadline in the sentence.

Question 42English

Which word is closest in meaning to "candid"?

  1. elaborate
  2. cautious
  3. frank Correct answer.
  4. deceitful

Explanation

"Candid" describes speech or behavior that is open, honest, and direct. "Frank" carries the same sense of straightforward honesty. The other choices describe deceit, care, or complexity, none of which matches.

Question 43English

Which sentence is punctuated correctly?

  1. The childrens' toys were scattered across the floor.
  2. The childrens toys were scattered across the floor.
  3. The children's toys were scattered across the floor. Correct answer.
  4. The children's' toys were scattered across the floor.

Explanation

"Children" is an irregular plural that does not end in -s, so its possessive is formed by adding an apostrophe plus s. Only one apostrophe is needed, placed before the s.

Question 44English

The auditor was accused ___ concealing the discrepancies in the accounts.

  1. about
  2. with
  3. for
  4. of Correct answer.

Explanation

The verb "accuse" is followed by the fixed preposition "of" in the pattern accuse someone of something. This preposition does not vary with the meaning of the sentence.

Question 45English

Between you and ___, the schedule the committee proposed seems unrealistic.

  1. myself
  2. I
  3. me Correct answer.
  4. mine

Explanation

"Between" is a preposition, and every pronoun following a preposition must be in the object case. "Me" is the object form, while "I" is the subject form.

Question 46English

Teacher is to student as doctor is to ___.

  1. medicine
  2. nurse
  3. patient Correct answer.
  4. hospital

Explanation

The first pair links a professional to the person that professional serves or instructs. Following the same relationship, a doctor serves a patient.

Question 47English

Which word is spelled correctly?

  1. recieve
  2. accomodate
  3. definitely Correct answer.
  4. seperate

Explanation

"Definitely" comes from "definite" plus the suffix -ly, keeping the root spelling intact. The other options each drop or transpose a necessary letter.

Question 48English

He is ___ European citizen who has lived abroad for a decade.

  1. a Correct answer.
  2. some
  3. the
  4. an

Explanation

The choice between "a" and "an" depends on the sound that begins the next word, not its first letter. "European" begins with the consonant sound /j/, so "a" is required.

Question 49English

The committee's decision was so ___ that even its harshest critics praised the fairness of the process.

  1. arbitrary
  2. equitable Correct answer.
  3. ambiguous
  4. hasty

Explanation

The result clause tells us critics praised the fairness of the process, so the blank must name a fair quality. "Equitable" means fair or just, which fits the cause-and-effect structure signaled by "so...that."

Question 50English

Identify the part of the sentence that contains an error: "The number of applicants have increased significantly this year."

  1. The number of applicants
  2. significantly
  3. have increased Correct answer.
  4. this year

Explanation

The true subject is "the number," a singular noun, so the verb must be singular: "has increased." The plural noun "applicants" sits inside a prepositional phrase and cannot control the verb.