Practice IQ Questions

Each letter in the second word is derived by moving 4 places to the right in the alphabet from the corresponding letter in the first word. So, P...q,r,s,T. E...f,g,h,I. T...,u,v,w,X. rap is to vet as pet is to tix.

The full length that must be traveled is the length of the tunnel plus the length of the train. This is 3.5km + .25km = 3.75km. Traveling at 75km / hr the train will complete 75kmh / 60 minutes = 1.25km / minute. So the time it will take for the front of the train to enter the tunnel and the back of the train to exit will be 3.75km / 1.25km/m = 3 minutes.

granite, ingrate, tangier, tearing

In each group of circles, the top three numbers total the same as the bottom two numbers.

<p>The car has been travelling for 90km / 120 km/hr = .75 hrs = 45 minutes.</p><p>The car has used 90km / 30km/gallon = 3 gallons of gas.</p><p>17 gallons of gas have leaked in 45 minues, so the car leaks 17 gallons x (60mins/45mins) = 22.67 gallons per hour.</p>

Square numbers that alternate between plus and minus one. 1² + 1 = 2. 2² - 1 = 3. 3² + 1 = 10. Etc...

Divide, Add, Multiply, Subtract. 7 / 4 = 1.75 + 3 = 4.75 x 6 = 28.5 - 2 = 26.5

The first and second letters of the name are the first and last letters of the country.

The Cubs scored 3.2 runs x 45 games = 144 runs over the first 45 games. After another 30 games they had scored a total of (45 games + 30 games) x 3 runs = 225 runs. Over the last 30 games they must have averaged (225 runs - 144 runs) / 30 games = 2.7 runs.

In all of the numbers except 4256, the first digit minus the second digit plus the third digit equals the fourth digit.

15 + 15 + 3 25 + 5 + 3 20 + 10 + 3

manlier, mineral

This is a series of prime numbers starting at 53 and ending at 79. 63 is not a prime number.

There are 20 tickets total. 9 tickets (72, 75, 77, 78, 81, 84, 87, 90, 91) are multiples of either 3 or 7. 9/20 = 45%

It is entirely possible that the Groops that are Balbos aren't the Balbos that are Nerts which happen to be illegal. So we cannot definitively say that even some Groops are illegal.

The chronological order each letter appears in the alphabet is used to come up with the corresponding number for each word. s = 19th letter t = 20th letter u = 21st letter... stumble = 19 20 21 13 2 12 5 agile = 1 7 9 12 5

The only son of her grandfather is her father. The man's brother's father is of course also his father. If they both share the same father that makes the man she is pointing at her brother.

The only point that is within the intersection of all three shapes is 3.

Each flip you have a 1/2 chance to get tails. In order to figure out the probability of getting 5 tails in a row we take the initial probability and extend it to the power of 5 tosses. So, 1/2⁵ = 1/32 = .03125 = 3.125%

48 / .4 = 120

We know that 5 men is equal to 8 boys in terms of the work at hand. So, 10 men would be the equivalent of 16 boys bringing the total number of boys to 16 + 5 = 21 boys to complete the work. 8 boys can perform the work in 84 days, so 21 boys or 21/8 = 2.625 as many boys should be able to perform the same amount of work in 84 / 2.625 = 32 days.

( (7 - x) + (11 - x) + (21 - x) ) / 3 = 10 (39 - 3x) / 3 = 10 13 - x = 10 x = 3

The series adds consecutive odd numbers starting at 5. 3 + 5 = 8 8 + 7 = 15 15 + 9 = 24 24 + 11 = 35

(5 x 6) + (4 x 12) / (6 + 12) = 4.33

Chaos is the opposite of peace as Destruction is the opposite of creation.

The code is that each letter is it's position in the word + 1 away in the alphabet. So M would be coded to O which is 2 places away. E to H which is 3 away. And so on.

There are 8 + 13 + 21 = 42 balls in total. If the ball is to be neither red nor green, it must be blue. So, 8 out of 42 or reduced to 4 / 21.

The series consists of cubes of odd numbers and square of even numbers.

ubdeg can become both budge and debug.

The flight that I want to leave 2hrs before is now scheduled to leave at 3:20pm. I want to leave 2 hours before that at 1:20pm. That is 15 minutes away so now it must be 1:05pm.

Since the narrator has no brother, his father’s son is he himself. So, the man who is talking is the father of the man in the photograph. Thus, the man in the photograph is his son.

The pattern bac is repeated.

In all of the other pairs, the second is a part of the first.

In a simultaneous throw of two dice there are 6 x 6 = 36 possible outcomes. Of those 36 possible outcomes, 27 have two numbers whose product is an even number. 27 / 36 = 3 / 4 {(1, 2), (1, 4), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 2), (3, 4), (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 2), (5, 4), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}

The total time taken for the 320 km is 160/64 + 160/80 = 9/2 = 4.5 hours. 320 km / 4.5 hrs = 71.11 km/hr

The only daughter of woman’s father is herself. So, the person is woman's son.

An entrepreneur is seeking a profit as a scholar is seeking knowledge.

None of the conclusions below that are certain can be verified from the information above, so we can only say that some artists MAY be drug addicts.

The series consists of two groups (M, O, R, V) and (N, L, I, ?). The letters in the first group move 2, 3, 4, ... steps forward. The letters in the second group move 2, 3, 4...steps backward.

The other words can all be made entirely from the letters in Complicate. There is no R in complicate.

April is the only month of the group with 30 days.

Leah works at 30 / 40 = 3/4 the rate that Ryan does. If they're working together you have Ryan doing 1 unit of work plus Leah doing 3/4 for a total of 1 3/4 the rate Ryan originally did the work in (30 days). 30 / 1.75 = 17 1/7.

distent, dentist, stinted

An oasis is surrounded by sand. An island is surrounded by water.

There are 4 kings in a deck of cards. You have a 4/52 chance of the first card being a king, then a 3/51 chance of the second card. Multiply those two probabilities together to get the probability of both cards being a king and you have a 12/2652 = 1/221 chance.

The letters in Banana are coded chronologically as they appear in the alphabet. So B = 2, A = 1, N = 14 etc...

The numbers Merlin likes are all perfect cubes eg. 2³ = 8. 4³ = 64. 6³ = 216.

If Erin is 24, her brother is 24/4 = 6. In 12 years, Erin will 36 and her brother will be 18.

If he bought the stock at 100 and it declined 20% to 80, it must go up 20 points to get back to 100. 20/80 = 25%.

The definition of <b>vertiginous</b> is - causing vertigo, especially by being extremely high or steep.

On 31st December, 2005 it was Saturday. The number of odd days from the year 2006 to the year 2009 = (1 + 1 + 2 + 1) = 5 days so on 31st December 2009, it was Thursday. Thus, on 1st Jan, 2010 it is Friday.

Tambourine

The pattern is + 5, + 7, + 9, + 11...

An emollient is defined as: a substance with a soothing effect when applied to the skin

tecar - cater

latter, rattle

There are 4 Queens in a deck of playing cards. There is a 4/52 = 1/13 chance the first card will be a Queen. There is a 3/51 = 1/17 chance the second card will be a Queen. 1/13 x 1/17 = 1/221 chance both cards will be Queens.

The first person shook hands with 11 remaining people, the second person also shook hands with 11 people, but we count 10, as the hand shake with the first person has already been counted. Then add 9 for the third person, 8 for the fourth one &amp; proceeding in this fashion we get: 11 + 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 66.

Let's say the 3rd number is 10. Then, the other numbers must be 140% * 10 = 14 and 160% * 10 = 16. The ratio of these two numbers is 14/16 = 7/8.

Let the ages of children be x, (x + 3), (x + 6), (x + 9) and (x + 12) years. Then, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 50 5x = 20, x = 4. Age of the youngest child = x = 4 years.

On 31st December, 2005 it was Saturday. The number of odd days from the year 2006 to the year 2009 = (1 + 1 + 2 + 1) = 5 days so on 31st December 2009, it was Thursday. Thus, on 1st Jan, 2010 it is Friday.

Each hour that passes sees the hour hand move 360 / 12 = 30 degrees. There is 8 hours difference between 6am and 2pm, so the hour hand, moving from 6am to 2pm travels 240 degrees.

The boat is actually travelling its speed of 13 km/hr + the speed at which the stream is moving 4 km/hr = 17 km/hr. 68 km / 17 km/hr = 4 hours.

It is possible that 19 of the integers are positive and if their sum is x then 20th number is (-x).

Tadpole

Let the third number be x. Then, first number = 120% of x = 120x / 100 = 6x / 5 Second number = 150% of x = 150x / 100 = 3x / 2 Ratio of first two numbers = 6x / 5 : 3x / 2 = 12x : 15x = 4 : 5.

At noon 80g. 12:15pm 80 * .9 = 72g. 12:30pm 72 * .9 = 64.8g. 12:45pm 64.8 * .9 = 58.32g 1:00pm 58.32 * .9 = 52.49g 1:15pm 52.49 * .9 = 47.24g 1:30pm 47.24 * .9 = 42.51g 1:35pm 42.51 * .9 = 38.26g

360 degrees in a circle / 12 hours = 30 degrees per hour. 7 hours * 30 degrees = 210 degrees

Sum of the present ages of husband, wife and child = (27 x 3) + (3 x 3) years = 90 years. Sum of the present ages of wife and child = (20 x 2) + (5 x 2) years = 50 years. Husband's present age = (90 - 50) years = 40 years.

The word 'LEADING' has 7 different letters. When the vowels EAI are always together, they can be treated as one letter. Then, we have to arrange the letters LNDG (EAI). Now, 5 (4 + 1 = 5) letters can be arranged in 5! = 120 ways. The vowels (EAI) can be arranged among themselves in 3! = 6 ways. Required number of ways = (120 x 6) = 720.

From the information above, we know that Brian can run 90 meters in the same amount of time Ryan can run 100 and that Leah can run 72 meters in that same amount of time. So, when Brian runs 90 meters, Leah runs 72 meters. When he runs 100 meters, Leah runs 72/90 x 100 meters = 80 meters.

If the current ratio is 2 chocolate to 1 vanilla, there is currently (2 / 3) * 60 = 40 liters of chocolate and 20 liters of vanilla. To flip that ratio, we'll need 40 * 2 = 80 liters total of vanilla. So, we must add 60 additional liters to the original 20 liters.

Incorrigible is defined as: (of a person or their tendencies) not able to be corrected, improved, or reformed.

The total distance Leah travels in meters is 12km*1000 = 12,000m / 60min = (200m / min) * 8mins = 1,600 meters. If the ration is 3 : 2 then the length = 3x and the width = 2x. So - 2 * (3x + 2x) = 1,600 or x = 160. Length = 480m and Width = 320m. Area = 480m * 320m = 15,3600m²

Each day of the week is repeated after 7 days. So, after 63 days, it will be Monday again. After 60 days, it will be Friday.

Since the Sanibel Commons costs more than the Sanibel Moorings and the Captiva Gate costs more than the Sanibel Commons, it is true that the Captiva Gate costs the most.

There are two alphabetical series here. The first series is with the first letters only: STUVW. The second series involves the remaining letters: CD, EF, GH, IJ, KL.

The speed of the train relative to the man is 63 - 3 = 60 km/hr. That's 60 * 1000 = 60,000 m/hr and 60,000 m/hr / 60 min = 1,000 m/min. So, to cover 500m at 1,000 m/min would take 30 seconds.

Sum of the present ages of husband, wife and child = (27 x 3) + (3 x 3) years = 90 years. Sum of the present ages of wife and child = (20 x 2) + (5 x 2) years = 50 years. Husband's present age = (90 - 50) years = 40 years.

barely, bleary, barley

In this alternating repetition series, a random number, 33, is inserted every third number into a simple addition series, in which each number increases by 2.

A binding surrounds a book; a frame surrounds a picture.

8 x 1 - 2 = 6 6 x 2 - 3 = 9 9 x 3 - 4 = 23 23 x 4 - 5 = 87 87 x 5 - 6 = 429

(.5x / 21) +(.5x / 24) = 10 x/21 + x/24 = 20 15x /168 = 20 15x = 20 x 168 x = 224 km

It takes 3 pumps x 8 hrs x 2 days = 48 pump hours to empty the tank. So, if 4 pumps only have 1 day, they must put in all 48 hours in that day. 48 pump hours / 4 pumps = 12 hours.

Gorbl means fan; flur means belt; pixn means ceiling; arth means tile; and tusl means roof. Therefore, pixnarth is the correct choice.

Let the present ages of son and father be x and (60 -x) years respectively. Then, (60 - x) - 6 = 5(x - 6) 54 - x = 5x - 30 6x = 84 x = 14 Son's age after 6 years = (x+ 6) = 20 years old.

The series goes up in increments of prime numbers (2, 3, 5, 7, 11, 13...) starting with 2. 5 + 2 = 7 7 + 3 = 10 10 + 5 = 15...etc.

anathema

Words are a necessary part of language. Slang is not necessary to language (choice b). Not all languages are written (choice c and e). Not all languages are spoken (choice a).

Let 40% of A = 2/3 B Then, 40A / 100 = 2B/3 2A / 5 = 2B / 3 A / B = 2/3 x 5/2 = 5/3 A : B = 5 : 3

The word LEADING has 7 different letters. Let's treat the vowels EAI as one letter since they are supposed to be together. Then, we have to arrange the letters LNDG (EAI). Now, 5 (4 + 1 = 5) letters can be arranged in 5! = 120 ways. The vowels (EAI) can be arranged among themselves in 3! = 6 ways. Required number of ways = (120 x 6) = 720.

Let the middle digit be x. Then, 2x = 10 or x = 5. So, the number is either 253 or 352. Since the number increases on reversing the digits, so the hundred's digits is smaller than the unit's digit. Hence, required number = 253.

In each number except 383, the product of the first and third digits is the middle one.

Andy : Beth = 100 : 90. Andy : Chris = 100 : 72. Beth : Chris = 90 : 72. So when Beth runs 90m, Chris runs 72m. When Beth runs 100m, Chris runs (72/90) x 100 = 80m. So Beth can give Chris a 20m head start and still not lose.

Let the numbers be a, b and c. Then, a2 + b2 + c2 = 138 and (ab + bc + ca) = 131. (a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca) = 138 + 2 x 131 = 400. (a + b + c) = sqrt(400) = 20.

uncrate, centaur

Perimeter = Distance covered in 8 min. = (12000/60) x 8m = 1600m. Let length = 3x metres and breadth = 2x metres. Then, 2(3x + 2x) = 1600 or x = 160 Length = 480m and Breadth = 320m. Area = (480 x 320) m² = 153600 m².

In this language, the adjective follows the noun. From dionot and blyonot, you can determine that 'onot' means oak. From blyonot and blycrin, you can determine that bly means leaf. Therefore, crin means maple. Because the adjective maple comes after the noun, patricrin is the only possible choice.

Let the present ages of son and father be x and (60 -x) years respectively. Then, (60 - x) - 6 = 5(x - 6) 54 - x = 5x - 30 6x = 84 x = 14 Son's age after 6 years = (x+ 6) = 20

Number of ways of selecting (3 consonants out of 7) and (2 vowels out of 4) = ((7 x 6 x 5) / (3 x 2 x 1)) x ((4 x 3) / (2 x 1)) = 120 Number of groups, each having 3 consonants and 2 vowels = 210. Each group contains 5 letters. so the number of ways of arranging 5 letters among themselves = 5! = 5 x 4 x 3 x 2 x 1 = 120 Required number of ways = 210 x 120 = 25200

Let the number of students be x. Number of students above 8 years of age = (100 - 20)% of x = 80% of x.80% of x = 48 + (2/3 * 48) (80/100) * x = 80 x = 100

To pass a pole (pole width is negligible) the train must travel 240m, or its entire length. To pass the platform, it must travel an additional 650m for a total distance of 890m. If it can travel 240m in 24 seconds, it can travel 890m in (890m / 240m) * 24 seconds = 89 seconds.

Since the middle term "cakes" is not distributed even once in the premises, no definite conclusion can follow. However, 1 and 2 involve only the extreme terms and form a complementary pair. So, either 1 or 2 follows.

Let the ten's digit be x and unit's digit be y. Then, x + y = 15 and x - y = 3 or y - x = 3. Solving x + y = 15 and x - y = 3, we get: x = 9, y = 6. Solving x + y = 15 and y - x = 3, we get: x = 6, y = 9. So, the number is either 96 or 69. Hence, the number cannot be determined.

The sequence follow... (1*1)+1 , (2*2)+1 , (3*3)+1 , (4*4)+1 , (5*5)+1 , (6*6)+1 , (7*7)+1 , (8*8)+1. So, 64 should be 65 to follow the pattern.

The angle traced by the hour hand is 4.33 = (13 / 3) * (360 / 12 hrs) = 130 The angle traced by the minute hand is 20 * (360 / 60 mins) = 120 130 - 120 = 10.

This is clearly the best answer because the paragraph directly states that warm weather affects consumers inclination to spend. It furthers states that the sales of single-family homes was at an all-time high. There is no support for choice 1 or 3. Choice 2 is wrong because even though there were high sales for a particular February, this does not mean that sales are not higher in other months. Choice 4 presents a misleading figure of 4 million. The paragraph states that the record of 4.75 million was at an annual, not a monthly, rate.

Total volume of water displaced = (4 x 50) m³ = 200 m³. Rise = 200 / (40 * 20) = .25 meters = 25 cm.

strayed

The the large wheel makes one turn for every 14 / 6 = 7 / 3 = 2 1/3 turns of the small wheel. 21 small wheel turns divided by 7 / 3 = 9 turns.

athletic, thetical

Let the two consecutive even integers be 2n and (2n + 2). Then... (2n + 2)² = (2n + 2 + 2n)(2n + 2 - 2n) = 2(4n + 2) = 4(2n + 1), which is divisible by 4.

Since both the premises are particular, no definite conclusion follows.

Let the ages of Kunal and Sagar 6 years ago be 6x and 5x years respectively. ( (6x + 6) + 4) / ( (5x + 6) + 4) = 11/10 10 (6x + 10) = 11 (5x + 10) 5x = 10, x = 2 Sagar's present age = (5x + 6) = 16 years.

The word 'LEADER' contains 6 letters, namely 1L, 2E, 1A, 1D and 1R. 6! / (1!)(2!)(1!)(1!)(1!) = 360

If Georgia is older than Marsha and Bart is older than Georgia, then Marsha has to be the youngest of the three. Choice b is clearly wrong because Bart is the oldest. There is no information in the paragraph to support either choice a or choice c.

Let the speed of each train be x m/sec. Then, relative speed of the two trains = 2x m/sec. So, 2x = (120+120) / 12 2x = 20, x =10 Speed of each train = 10 m/sec = 10 x (18/5) km/hr = 36 km/hr.

Alternatively 23 is added and 17 is subtracted from the terms. So, 634 is wrong.

There are three series to look for here. The first letters are alphabetical in reverse: Z, Y, X, W, V. The second letters are in alphabetical order, beginning with A. The number series is as follows: 5, 4, 6, 3, 7.

The hands of a clock point in opposite directions (in the same straight line) 11 times in every 12 hours. (Because between 5 and 7 they point in opposite directions at 6 o'clock only). So, in a day, the hands point in the opposite directions 22 times.

Adding the three numbers in each square together gives the numerical value (a = 1, b = 2 etc...) of the letter in each square.

Working in rows, add together the numerical values of the left and right hand letters to give the numerical value of the central letter.

Take values in corresponding positions of the outer 4 shapes, and put the results in the central shape, rotating the position of this result by 1/4 turn each time.

In each row, the left hand number equals the total of the even valued letters (b = 2, d = 4, etc...) in the middle box, and the right hand number equals the total of the odd valued letters in the middle box.

Sum of the present ages of husband, wife and child = (27 x 3 + 3 x 3) years = 90 years. Sum of the present ages of wife and child = (20 x 2 + 5 x 2) years = 50 years. Husband's present age = (90 - 50) years = 40 years.

Using the value of Aces as 1 and all face cards as 10 In each column of the diagram, the value of the sum of the 3 cards is always 21.

It is quite possible that 19 of these numbers may be positive and if their sum is X then 20th number is (-X) making the average 0.

The first letters are in alphabetical order with a letter skipped in between each segment: C, E, G, I, K. The second and third letters are repeated; they are also in order with a skipped letter: M, O, Q, S, U.

The first two statements give information about Zoe's tulips and pansies. Information about any other kinds of flowers cannot be determined.

Because Mr. Sanchez spends many hours during the weekend working in his vegetable garden, it is reasonable to suggest that he enjoys this work. There is no information to suggest that he does not like classical music (choice 2). Although Mrs. Sanchez likes to cook, there is nothing that indicates she cooks vegetables (choice 3). Mrs. Sanchez likes to read, but there is no information regarding the types of books she reads (choice 4). Because they choose to do separate activities on the weekends does not necessarily mean they don't have other things in common (choice 5).

In each group of 3 boxes, the numerical value in the lower box equals the average of the numerical values of the letters in the top 2 boxes.

In each slice of the circle, the difference between the outer and middle numbers is written in the inner segment of the opposite slice.

Let the length of each train be x metres. Then, distance covered = 2x metres. Relative speed = (46 - 36) km/hr = 10 km/hr = 10 x 5/18 m/sec = 25/9 m/sec 2x/36 = 25/9 x = 50

60 minutes x 60 seconds = 1 hour = 3600 seconds. 1 / 3600 = .00027

2(15 + 12) x h = 2(15 x 12) h = 180 / 27 = 20 / 3 Volume = 15 x 12 x (20 / 3) = 1200m³

xy = 120 and x2 + y2 = 289 (x + y)² = x² + y² + 2xy = 289 + (2 x 120) = 529 x + y = √529 = 23

Starting with the top clock and moving counter-clockwise around the others, the hour hand moves back 1 hour, then 2, then 3 etc, while the minute hand moves forward 10 minutes each time.

In this language, the adjective follows the noun. From godabim and romzbim, you can determine that bim means kidney. From romzbim and romzbako, you can determine that romz means beans. Therefore, bako means wax. Because the adjective wax must come after the noun in this language, wasibako is the only choice.

Alternatively 23 is added and 17 is subtracted from the terms. So, 634 is wrong.

This is an alternating series in alphabetical order. The middle letters follow the order ABCDE. The first and third letters are alphabetical beginning with J. The third letter is repeated as a first letter in each subsequent three-letter segment.

Since one premise is particular, the conclusion must be particular. So, neither 1 nor 2 follows.

10 prizes out of 35 (10 prizes + 25 blanks) possible outcomes. 10/35 = 2/7

Working from top to bottom, left to right, add together the first two numbers and subtract 3 to give the next value along.