antoine-444/aqua_rat_dataset huggingface dataset:
Question: A rectangular-shaped carpet that measures x feet by y feet is priced at $8. What is the cost of the carpet, in dollars per square yard? (1 square yard = 9 square feet)
Choices:
72/(xy)
xy/90
xy/10
10/(xy)
Answer: A
Question: A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 26 years now, the son's age 3 years back was:
Choices:
19 years
33 years
38 years
10 years
Answer: D
Question: An aeroplane covers a certain distance at a speed of 240 kmph in 6 hours. To cover the same distance in 1 2/3 hours, it must travel at a speed of:
Choices:
620
820
740
864
Answer: D
Question: In a sample of National college students, 30 percent are third year students and 60 percent are not second-year students. What fraction of those students who are not third-year students are second-year students?
Choices:
2/3
4/7
1/2
3/7
Answer: B
Question: In a class of 250 students, 130 study Spanish and 100 study French. If a student must study at least one of these two languages, what percent of the students study French but NOT Spanish?
Choices:
60%
30%
20%
10%
Answer: A
Question: Volume of a right circular cylinder is 6o L. If radius of cylinder is doubled, then what will be the increase in volume?
Choices:
180 L
240 L
300 L
360 L
Answer: A
Question: A 1000 liter tank, half-full of water is being filled from a pipe with a flow rate of 1 kiloliter every 2 minutes. At the same time, the tank is losing water from two drains at a rate of 1 kiloliter every 4 minutes and every 6 minutes. How many minutes does it take to fill the tank completely?
Choices:
6
18
24
48
Answer: A
Question: 10 suspects are rounded by the police and questioned about a bank robbery. Only one of them is guilty. The suspects are made to stand in a line and each person declares that the person next to him on his right is guilty. The rightmost person is not questioned. Which of the following possibilities are true?
Choices:
A or C
A or B
A or D
A or J
Answer: B
Question: The diagonals of a rhombus are 13 cm and 20 cm. Find its area?
Choices:
130
150
179
172
Answer: A
Question: 30^10 / 240^5=?
Choices:
(15/4)^5
3^6
6^3
15^3
Answer: A
Question: The school's basketball team scores for a five game series were 70, 75, 100, 70 and x. If their median score was 5 points lower than their average (arithmetic mean) score in the series, which of the following could be x?
Choices:
80
85
90
95
Answer: B
Question: If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area?
Choices:
120
66
211
12
Answer: A
Question: Y is an even number and X is a positive odd number. Which of the following expressions cannot be even?
Choices:
X^3
(XY)^Y
XY
Y^2
Answer: A
Question: A shop sells bicycles and tricycles. In total there are 8 cycles (cycles include both bicycles and tricycles) and 19 wheels. Determine how many of each there are, if a bicycle has two wheels and a tricycle has three wheels.
Choices:
b=5,t=3
b=6,t=2
b=2,t=5
b=3,t=4
Answer: A
Question: How many seconds will a 150 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Choices:
30 sec
86 sec
15 sec
18 sec
Answer: C
Question: What is the greatest of 3 consecutive integers whose sum is 24 ?
Choices:
76
8
9
10
Answer: C
Question: Tough and Tricky questions: Word Problems.
In a rare coin collection, one in six coins is gold, and all coins are either gold or silver. If 10 silver coins were to be subsequently traded for an additional 10 gold coins, the ratio of gold coins to silver coins would be 1 to 3. Based on this information, how many gold coins would there be in this collection after the proposed trade?
Choices:
60
180
200
300
Answer: B
Question: An electric motor makes 3,000 revolutions per minutes. How many degrees does it rotate in one second?
Choices:
18,000 degrees / second
32,000 degrees / second
47,000 degrees / second
55,000 degrees / second
Answer: A
Question: The ratio of flour to water to sugar in a recipe is 11:5:2. The ratio in a new recipe calls for a doubling of the ratio of flour to water from the original recipe and a halving of the ratio of flour to sugar. If the new recipe calls for 7.5 cups of water, how much sugar is required?
Choices:
9
10
11
12
Answer: D
Question: If a certain number X is divided by 62, the reminder is 7. what is the reminder when X+11 is divided by 31?
Choices:
5
18
6
8
Answer: B
Question: The population of a city increases by 4% per year but due to migration it decrease by 1% per years. What will be the percentage increase in population in 3 years?
Choices:
9.27%
27%
12%
None of these
Answer: A
Question: A shopkeeper loses 15%,if an article is sold for Rs. 102. What should be the selling price of the article to gain 20%?
Choices:
144
278
279
171
Answer: A
Question: At the end of each year, the value of a certain antique watch is "c" percent more than its value one year earlier, where "c" has the same value each year. If the value of the watch was "k" dollars on January 1, 1992, and "m" dollars on January 1, 1994, then in terms of "m" and "k", what was the value of the watch, in dollars, on January 1, 1995?
Choices:
m+1/2((m-k)/k)m
(m*sqrt(m))/sqrt(k)
m^2/2k;
km^2
Answer: B
Question: A digital wristwatch was set accurately at 8.30 a.m and then lost 2 seconds every 5 minutes. What time was indicated on the watch at 6.30 p.m of the same day if the watch operated continuously that time ?
Choices:
5.58
6.0
6.23
6.26
Answer: D
Question: Find out the C.I on Rs.8000 at 4% p.a. compound half-yearly for 1 1/2 years
Choices:
489.66
406.04
306.03
306.01
Answer: A
Question: In a business school case competition, the top three teams receive cash prizes of $5,000, $3,000, and $2,000, respectively, while the remaining teams are not ranked and do not receive any prizes. There are 6 participating teams, named Team A, Team B, Team C, Team D, Team E, and Team F. If Team A wins one of the prizes, Team B will also win one of the prizes. How many outcomes X of the competition are possible?
Choices:
20
54
84
120
Answer: C
Question: ABCD is a parallelogram on xy rectangular coordinate plane, three of the four vertices of parallelogram are (5,15) , (5,35) and (-5,15). Which can be the coordinate of fourth vertex?
Choices:
(5,15)
(-5,-35)
(-5,10)
(15,35)
Answer: D
Question: X^Y + Y^X =2408
Find the values of X ?
Choices:
2407
2409
2405
32
Answer: A
Question: 30 pens and 75 pencils were purchased for 750. If the average price of a pencil was 2.00, find the average price of a pen.
Choices:
20
12
13
14
Answer: A
Question: The length and breadth of a square are increased by 40% and 30% respectively. The area of the rectangle so formed exceeds the area of the square by ?
Choices:
82%
80%
90%
none of these
Answer: A
Question: How many odd integers X between 200 and 600 are there such that their tens digit is even?
Choices:
25
100
150
200
Answer: B
Question: Each shelf of a bookcase contained 12 books. If the librarian took out 21 books and rearranged the remaining books so that all shelves but one contained 7 books and the last shelf contained 11 books, how many shelves does the bookcase have?
Choices:
6
4
5
3
Answer: C
Question: The population of a town increased from 1,45,000 to 2,30,500 in a decade. The average percent increase of population per year is:
Choices:
5.8%
6.8%
8.75%
None
Answer: A
Question: An article is bought for Rs.600 and sold for Rs.900, find the gain percent?
Choices:
33 1/6%
50%
38 1/3%
33 2/3%
Answer: B
Question: If x ≠ 0 and x - (2+ x^2)/x = y/x, then y =
Choices:
-2
-4
-3
-1
Answer: A
Question: tell the smaller no. if its subtraction is 5 and ration is 4:3.
Choices:
15
8
5
4
Answer: A
Question: Vinay got thrice as many marks in Maths as in English. The proportion of his marks in Maths and History is 4:3. If his total marks in Maths, English and History are 250, what are his marks in English ?
Choices:
90
40
80
70
Answer: B
Question: When positive integer N is divided by positive integer J, the remainder is 16. If N/J = 134.08, what is value of J?
Choices:
56
78
112
200
Answer: D
Question: The difference between the ages of A and B is 10 years. Ten years ago, A was twice as old as B. Find the age of A, 10 years hence.
Choices:
30 years
40 years
50 years
60 years
Answer: B
Question: What is the sum of natural numbers between 40 and 100
Choices:
4270
5000
5500
5550
Answer: A
Question: The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 867 sq m, then what is the breadth of the rectangular plot?
Choices:
17 m
34 m
51 m
None of these
Answer: A
Question: If e is a positive integer, then 3^e + 3^(e +1) =
Choices:
3^a − 1
3^(2a) + 1
3^a*(a − 1)
4(3^e)
Answer: D
Question: In a race of 1000 m, A can beat by 100 m, in a race of 800m, B can beat C by 100m. By how many meters will A beat C in a race of 400 m?
Choices:
127.5 m.
122.2 m
85 m
12289 m
Answer: C
Question: Two representatives must be selected from each of two groups of students. One group consists of three men and one woman, and the other group consists of two women and one man. What is the probability that 2 men and 2 women will be selected ?
Choices:
1/4
2/7
1/3
1/2
Answer: D
Question: How many 3-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITH', if repetition of letters is not allowed?
Choices:
336
740
760
780
Answer: A
Question: Janet has to pay back her bank loan over 10 months following the below sequence.
$50, $55, $65, $80, $85, $95, $110, $115, $125, ?
How much will she pay back on the tenth month?
Choices:
$140
$135
$125
$130
Answer: A
Question: The volumes of two cones are in the ratio 1 : 10 and the radii of the cones are in the ratio of 1 : 2. What is the length of the wire?
Choices:
2:5
2:9
2:1
2:4
Answer: A
Question: If taxi fares were $1.00 for the first 1/5 mile and $0.20 for each 1/5 mile there after, then the taxi fare for a 3-mile ride was
Choices:
$2.40
$3.80
$4.20
$2.80
Answer: B
Question: The average of 20, 100 and 180 is twice the average of 10, 30, and which of the following ?
Choices:
1)110
3)60
4)90
5)180
Answer: A
Question: A person was dialing a telephone. He forgot the last three digits of the six-digit telephone number but rembered that the number formed by the last three digits in the same order was a perfect square. What is the probability he dialed a right number?
Choices:
1/32
1/49
1/36
1/18
Answer: A
Question: A straight line in the xy-plane has a slope of 2 and a y-intercept of 2. On this line, what is the x-coordinate of the point whose y-coordinate is 550 ?
Choices:
498
676
823
274
Answer: D
Question: A grandmother lent $20,000 to her grandson at the beginning of the year. At the end of the year, she received y dollars more than than the amount she lent due to interest. She also received an additional amount $300, as a gift. In terms of y, what fraction of the amount that grandmother received was the gift?
Choices:
300/(20300+Y)
300Y/20000Y
2/3Y
300Y/(Y+1)
Answer: A
Question: The diagonal of a rectangle is sqrt(41) cm. and its area is 20 sq. cm. The perimeter of the rectangle must be:
Choices:
18
19
27
62
Answer: A
Question: If x and y are different integers and x^2 = xy, which of the following must be true ?
I. x = 0
II. x = 0
III. x =y
Choices:
II only
III only
I and III only
I, II, and III
Answer: A
Question: A person buys an article at Rs.500. At what price should he sell the article so as to make a profit of 20%?
Choices:
600
278
268
308
Answer: A
Question: The L.C.M. of 2 numbers is 40. The numbers are in the ratio 4:5. Find their sum?
Choices:
18
48
32
56
Answer: A
Question: For every X, the action [X] is defined: [X] is the greatest integer less than or equal to X. What is the value of [6.5] x [2/3] + [2] x 7.2 + [8.4] - 6.5?
Choices:
14.4.
15.8.
15.7.
16.4.
Answer: C
Question: The mean proportional between 4 and 9 is?
Choices:
77
35
88
29
Answer: A
Question: How many different committees can be formed from a group of four women and eight men if three people are on the committee and at least one member must be a man?
Choices:
220
225
216
210
Answer: C
Question: The square root of 636 is between which set of integers?
Choices:
25 and 26
26 and 27
27 and 28
28 and 29
Answer: A
Question: A salesman sold twice as much pears in the afternoon than in the morning. If he sold 360 kilograms of pears that day, how many kilograms did he sell in the morning and how many in the afternoon?
Choices:
240
329
443
544
Answer: A
Question: What is the place value of 7 in the numeral 57468?
Choices:
7000
7
700
70
Answer: A
Question: Which of the following is closer to (7!+5!)-(7!-5!)?
Choices:
150
200
240
360
Answer: C
Question: For what k value(s) is the following equation satisfied: 2k-9-k = 4k+6-3k
Choices:
b. 0 only
c. 5/2 only
d. No value
e. Any value
Answer: C
Question: x+(1/x) = 2.5 find x^2 + (1/x^2)
Choices:
3.25
4.25
5.25
6.25
Answer: B
Question: A worker is to perform work for you for seven straight days. In return for his work, you will pay him 1/7th of a bar of gold per day. The worker requires a daily payment of 1/7th of the bar of gold. What and where are the fewest number of cuts to the bar of gold that will allow you to pay him 1/7th each day?
Choices:
4
3
2
6
Answer: C
Question: How many kg of pure salt must be added to 100kg of 10% solution of salt and water to increase it to a 20% solution?
Choices:
1.3
9.6
12.5
7.9
Answer: C
Question: On a trip covering 350 km, a bicyclist travels the first 200 km at 20 km per hour and the remainder of the distance at 15 km per hour. What is the average speed, in km per hour, for the entire trip?
Choices:
16.0
17.5
19.0
18.5
Answer: B
Question: There were two candidates in an election. Winner candidate received 62% of votes and won the election by 360 votes. Find the number of votes casted to the winning candidate?
Choices:
744
788
298
930
Answer: D
Question: A researcher computed the mean, the median, and the standard deviation W for a set of performance scores. If 5 were to be added to each score, which of these three statistics would change?
Choices:
The median only
The standard deviation only
The mean and the median
The mean and the standard deviation
Answer: C
Question: If 9 ministers are to be seated at a round table conference, then how many different ways can they be seated?
Choices:
60
40320
720
180
Answer: B
Question: If the productivity of a brigade grows by 12% when the number of the workers in the brigade is increased by one, then which of the following is closest to the ratio of the productivity of a 12-person brigade to that of a 10-person brigade?
Choices:
0.82
1.2
1.232
1.44
Answer: C
Question: The area of a square is 4096 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square.
Choices:
5 : 14
5 : 17
5 : 18
5 : 16
Answer: D
Question: A mixture containing 6% boric acid is to be mixed with 2 quarts of a mixture which is 15% acid in
order to obtain a solution which is 12% acid. How much of the 6% solution must be used?
Choices:
1
3
4
5
Answer: A
Question: In a basket of apples, 12% of them are rotten and 66 are in good condition. Find the total number of apples in the basket.
Choices:
75
23
20
287
Answer: A
Question: A train speeds past a pole in 15 seconds and a platform 140 meters long in 25 seconds. What is the length of the train (in meters)?
Choices:
200
210
220
230
Answer: B
Question: On a ranch, a rancher can place a loop of rope, called a lasso, once in every 2 throws around a cow’s neck. What is the probability that the rancher will be able to place a lasso around a cow’s neck at least once in 4 attempts?
Choices:
5/8
7/8
11/16
15/16
Answer: D
Question: (525 + 275) Ã— 4 Ã— (3 + 2) = ?
Choices:
24000
16000
14000
16200
Answer: B
Question: A luxury liner, Queen Marry II, is transporting several cats as well as the crew (sailors, a cook, and one-legged captain) to a nearby port. Altogether, these passengers have 15 heads and 43 legs. How many cats does the ship host?
Choices:
5
6
7
8
Answer: C
Question: How long will a boy take to run round a square field of side 40 meters, if he runs at the rate of 9km/hr?
Choices:
64sec
1min
32sec
25sec
Answer: A
Question: A triangle has a perimeter 17. The two shorter sides have integer lengths equal to x and x + 1. Which of the following could be the length of the other side?
Choices:
5
6
7
3
Answer: C
Question: For each month of a given year except December, a worker earned the same monthly salary and donated one-tenth of that salary to charity. In December, the worker earned N times his usual monthly salary and donated one-third of his earnings to charity. If the worker's charitable contributions totaled one-eighth of his earnings for the entire year, what is the value of N?
Choices:
5/2
3
33/25
4
Answer: C
Question: The average of first nine prime numbers is?
Choices:
11.1
12.5
15.8
13.6
Answer: A
Question: If an integer t is to be chosen at random from the integers 1 to 96, inclusive, what is the probability that t(t + 1)(t + 2) will be divisible by 8?
Choices:
3/8
1/2
5/8
3/4
Answer: C
Question: If integers w and b are distinct factors of 30, which of the following CANNOT be a factor of 30?
I. wb + b^2
II. (w+ b)^2
III. w + b
Choices:
II only
III only
I and II only
I, II, and III
Answer: A
Question: Find the invalid no.from the following series 3, 6, 15, 31, 63, 127, 255
Choices:
6
27
63
127
Answer: A
Question: A certain university will select 1 of 7 candidates eligible to fill a position in the mathematics department and 3 of 10 candidates eligible to fill 3 identical positions in the computer science department. If none of the candidates is eligible for a position in both departments, how many different sets of 4 candidates are there to fill the 4 positions?
Choices:
770
840
165
315
Answer: B
Question: Jo's collection contains US, Indian and British stamps. If the ratio of US to Indian stamps is 5 to 2 and the ratio of Indian to British stamps is 5 to 1, what is the ratio of US to British stamps?
Choices:
15 : 2
20 : 2
25 : 2
28 : 2
Answer: C
Question: . A boy has five trousers and 11 shirts. In how many different ways can he select a trouser and a shirt?
Choices:
55
65
75
80
Answer: A
Question: Jim is able to sell a hand-carved statue for $540 which was a 35% profit over his cost. How much did the statue originally cost him?
Choices:
$400.00
$455.40
$474.90
$488.20
Answer: A
Question: What sum of money will produce Rs.70 as simple interest in 4 years at 3 1/2 percent?
Choices:
500
378
373
287
Answer: A
Question: In a car wheel, ten spokes cover 60 degrees. Then for the entire car,how many spokes are there?
Choices:
140
240
320
340
Answer: B
Question: If y = x^2 + cx + d, y is minimum when x is:
Choices:
-c/d
-c/2
-d/2
d/c
Answer: B
Question: If two sides of a triangle are 12 and 4, which of the following could be the area of triangle?
1. 35
2. 48
3. 56
Choices:
b) 1 and 2 only
c) 1 and 3 only
d) 2 and 3 only
e) 1, 2 and 3 only
Answer: C
Question: How many bricks each measuring 22cm x 10.25cm x 8cm, will be needed to build a wall 9m x 7m x 10.5m
Choices:
3066
3055
7200
None of these
Answer: A
Question: An association of mathematics teachers has 1,500 members. Only 525 of these members cast votes in the election for president of the association. What percent of the total membership voted for the winning candidate if the winning candidate received 36 percent of the votes cast?
Choices:
5.8%
4.2%
34.5%
12.6%
Answer: D
Question: Today is Sunday. After 36 days, what day of the week will it be?
Choices:
Monday
Tuesday
Saturday
Sunday
Answer: A
Question: The LCM and HCF of two numbers are 60 and 2 respectively. Find the larger of the two numbers if their sum is 22.
Choices:
12
4
54
56
Answer: A
Question: In Cliff’s impressive rock collection, there are half as many igneous rocks as sedimentary rocks. Of the igneous rocks, 4/5 are shiny and the rest are matte, while 1/5 of the sedimentary rocks are shiny. If there are 40 shiny igneous rocks, how many total rocks does Cliff have?
Choices:
150
60
90
135
Answer: A
Question: In a bag there are coins of 50 paisa, 25 paisa and one rupee in the proportion 10:6:5. If there are in all Rs.92, the number of 25 paisa coins is?
Choices:
46
48
42
28
Answer: B
Question: The probability that event A occurs is 0.4, and the probability that events A and B both occur is 0.45. If the probability that either event A or event B occurs is 0.6, what is the probability that event B will occur?
Choices:
0.15
0.45
0.5
0.55
Answer: D
Question: 1. Mrs. Ram got a weekly raise of $145. If he gets paid every other week, write an integer describing how the raise will affect her paycheck.
Choices:
145
100
150
345
Answer: A
Question: Rs.900 amounts to Rs.920 in 3 years at simple interest. If the interest is increased by 3%, it would amount to how much?
Choices:
Rs.1001
Rs.2056
Rs.1026
Rs.1856
Answer: A
Question: If x > y, x < 6, and y > -3, what is the largest prime number that could be equal to x + y?
Choices:
11
12
14
16
Answer: A
Question: In a certain game there are 8 steps, referred to as step 1, step 2, and so on with the final step being step 8. The steps are played one after the other. In each step a score of 1, 2, 3, or 4 is obtained. Angel played the game, getting at least one score of each of 1, 2, 3, and 4, and never getting the same score in consecutive steps. What is the greatest possible score that Angel could have gotten?
Choices:
18
21
23
29
Answer: A
Question: The length of the room is 5.5m and width is 3.75m. Find the cost of paving the floor by slabs at the rate of Rs.800 per sq meter
Choices:
Rs.16500
Rs.17500
Rs.18500
Rs.19500
Answer: A
Question: Look at this series: 83, 73, 93, 63, __, 93, 43, ... What number should fill the blank?
Choices:
59
52
53
51
Answer: C
Question: 81,162,49,98,25,50,62
Choices:
124
129
128
131
Answer: A
Question: The present ages of three persons are in the proportion of 4 : 7 : 9. Eight years ago, the sum of their ages was 116. Find their present ages.
Choices:
28,49,63
16,28,36
16,28,46
None of these
Answer: A
Question: Two teams are distributing information booklets. Team A distributes 60% more boxes of booklets than Team X, but each box of Team A’s has 60% fewer booklets than each box of Team X’s. Which of the following could be the total number of booklets distributed by the two groups?
Choices:
3,200
4,100
4,800
4,900
Answer: B
Question: The mean of set P does not exceed mean of any subset of set P. Which of the following must be true about set P?
I. Set P contains only one element
II. All elements in set P are equal
III. The median of set P equals the mean of set P
Choices:
II only
III only
II and III only
I, II, and III
Answer: C
Question: If the sides of a cube are in the ratio 9:7. What is the ratio of their diagonals?
Choices:
16:9
9:7
3:4
3:8
Answer: B
Question: If you roll a fair-sided die twice, what is the probability of getting a (2 ,2)?
Choices:
1/3!
1/2!
1/36
1/24
Answer: A
Question: What is the difference between the largest number and the least number written with the digits 7, 3, 1, 4?
Choices:
6084
5084
6048
6049
Answer: A
Question: The game of blackjack is played with a deck consisting of 13 cards (one of each of the numbers 2-10, one jack, one queen, one king, and one of ace) in each of four suits: clubs, diamonds, hearts, and spades.
In a game of blackjack, if your first card is a spade, what are the odds that it is a 9?
Choices:
1/13
5/13
1/4
1/52
Answer: A
Question: Each shelf of a bookcase contains 20 books. If the librarian took out 42 books and rearranged the remaining books so that all shelves but the last one contained 16 books and the last shelf contained 22 books, how many shelves does the bookcase have?
Choices:
B)12
C)6
D)8
E)9
Answer: A
Question: A sum fetched a total simple interest of $4061.25 at the rate of 9 p.c.p.a. in 5 years. What is the sum?
Choices:
$2840
$6578
$7782
$8926
Answer: D
Question: A fair 2 sided coin is flipped 3 times. What is the probability that tails will be the result at least twice, but not more than 3 times?
Choices:
3/4
3/8
7/4
5/6
Answer: B
Question: A library has an average of 510 visitors on Sundays and 240 on other day. The average number of visitors in a month of 30 days starting with sunday is
Choices:
285
290
295
275
Answer: A
Question: Jim and Renee will play one game of Rock, Paper, Scissors. In this game, each will select and show a hand sign for one of the three items. Rock beats Scissors, Scissors beat Paper, and Paper beats Rock. Assuming that both Jim and Renee have an equal chance of choosing any one of the hand signs, what is the probability that Jim will win or draw?
Choices:
2/3
1/2
5/12
1/3
Answer: A
Question: If 2 cards are selected (with replacement) at random from the deck of 52 cards then what is the probability that one of the selected cards will be a heart and the other will be a club?
A deck of cards has a total of 52 cards, consisting of 4 suits: spades (black), hearts(red), diamonds (red), and clubs (black). In each suit, there are 13 cards including 1 king, 1 queen, and 1 jack.
Choices:
1/8
1/32
1/64
1/128
Answer: A
Question: A jogger running at 9 kmph alongside a railway track in 240 metres ahead of the engine of a 120 metres long train running at 45 kmph in the same direction. In how much time will the train pass the jogger?
Choices:
18 sec
36 sec
72 sec
84 sec
Answer: B
Question: A policeman noticed a criminal from a distance of 180 km. The criminal starts running and the policeman chases him. The criminal and the policeman run at the rate of 8 km and 9 km per hour respectively. What is the distance between them after 3 minutes ?
Choices:
120 m
130 m
150 m
None of these
Answer: B
Question: What percent of 500 is 125?
Choices:
4%
25%
40%
250%
Answer: B
Question: Tough and Tricky questions: Word Problems.
Micheal , Saren and Donald decided to club together to buy a present. Each of them gave equal amount of money. Luckily Saren negotiated a 20% discount for the present so that each of them paid 4 dollars less. How much did they pay for a present?
Choices:
36
48
60
72
Answer: B
Question: The profit earned by selling an article for Rs. 832 is equal to the loss incurred when the same article is sold for Rs. 448. What should be the sale price for making 80% profit?
Choices:
1152
960
780
400
Answer: A
Question: How many meters are there in 550 centimeters?
Choices:
5.5 meters
100 meters
2.5 meters
1 meter
Answer: A
Question: The length of a rectangle is 5 more than the width. What are the dimensions of the rectangle if the perimeter is 34?
Choices:
11
13
14
None
Answer: A
Question: Average families of 4 pay $3000 for their health insurance deductibles annually. There will be a 2/3 increase in the deductibles for next year. How much more will the average family pay in deductibles next year?
Choices:
$2000
$3000
$4000
$5000
Answer: A
Question: Scott's average (arithmetic mean) golf score on his first four rounds was 78.What score does he need on his fifth round to drop his average score by 2 points?
Choices:
68
78
88
312
Answer: A
Question: Two vertical poles 2 meter and 8 meter high stand apart on a horizontal plane. find the height in meters of the point of intersection of the lines joining the top of each pole to the bottom of the other pole.
Choices:
1.9
1.6
1.7
56
Answer: B
Question: Find the odd man out
25, 49, 81, 121, 144, 169
Choices:
121
144
169
25
Answer: B
Question: You have a battery that is charged during the day by a solar panel. At night, 3 Iphones use that battery and deplete the charge after 4.8 hours. Your family shows up and they have brought 9 of their own Iphones. How many hours before the charge on the battery is depleted now?
Choices:
1.2
1.8
2.2
1.5
Answer: A
Question: A part of certain sum of money is invested at 16% per annum and the rest at 20% per annum, if the interest earned in each case for the same period is equal, then ratio of the sums invested is?
Choices:
4:9
4:3
4:1
5:4
Answer: D
Question: If 16^y = 4^16, what is y?
Choices:
4
8
12
16
Answer: B
Question: Two trains of equal are running on parallel lines in the same direction at 48 km/hr and 36 km/hr. The faster train passes the slower train in 36 sec. The length of each train is?
Choices:
60 m
80 m
82 m
84 m
Answer: A
Question: To produce an annual income of Rs. 1200 from a 12 % stock at 90,the amount of stock needed is :
Choices:
Rs. 10,000
Rs. 14,400
Rs. 16,000
None of these
Answer: A
Question: On a windy day, out of every 3 sand dunes formed, only 1 remains. Out of 5 blown-out
sand-dunes, 1 has treasure and only 2 out of 3 sand dunes formed have lucky coupons. Find
the probability that the blown-out sand dune will contain both the things.
Choices:
4/75
7/75
3/5
4/45
Answer: D
Question: The average age of a family of 6 members is 34 years.If the age of the youngest member is 7 years,what was the average age of the family at the birth of the youngest member?
Choices:
18
21
12
27
Answer: D
Question: The banker's discount on Rs.1450 due a certain time hence is Rs.145. Find the true discount and the banker's gain.
Choices:
13
18
21
None
Answer: A
Question: A certain theater has 100 balcony seats. For every $2 increase in the price of a balcony seat above $10, 5 fewer seats will be sold. If all the balcony seats are sold when the price of each seat is $10, which of the following could be the price of a balcony seat if the revenue from the sale of balcony seats is $1,460 ?
Choices:
$14
$18.6
$17
$18
Answer: B
Question: A person took some amount with some interest for 2 years, but increase the interest for 1%, he paid Rs.130/- extra, then how much amount he took?
Choices:
s.6500/-
s.4000/-
s.7000/-
s.8000/-
Answer: A
Question: If two times of the daughter’s age in years is included to the mother’s age, the total is 70 and if two times of the mother’s age is included to the daughter’s age, the total is 95. So the Mother’s age is,
Choices:
40
50
60
39
Answer: A
Question: A boutique sold 500 dress shirts at $25 each, 600 belts at $10 each, 700 pants at $50 each and 1000 shoes at $200. What % of the stores revenue came from dress shirts and pants?
Choices:
17.5%
16.5%
13.5%
18.5%
Answer: D
Question: How long does a train 110 meters long running at the speed of 72 km/hour take to cross a bridge 132
meters in length ?
Choices:
12.1 seconds
10 seconds
8.1 seconds
None of these
Answer: A
Question: 25% of a number is more than 20% of 650 by 190. Find the number?
Choices:
278
800
267
1280
Answer: D
Question: How many different section of 4 books can be made from 10 different books if two particular books are never selected?
Choices:
50
60
80
70
Answer: D
Question: A man whose bowling average is 12.4, takes 5 wickets for 26 runs and there by decreases his average by 0.4. The number of wickets taken by him before his last match is?
Choices:
83
84
85
86
Answer: C
Question: If the cost price of 30 articles is equal to the selling price of 45 articles, what is the % profit or loss made by the merchant?
Choices:
33.33% loss
20% loss
20% profit
5% profit
Answer: A
Question: The 4 sticks in a complete bag of Pick-Up Sticks are all straight-line segments of negligible width, but each has a different length: 1 inch, 2 inches, 3 inches, and 4 inches, respectively. If Tommy picks a stick at random from each of 3 different complete bags of Pick-Up Sticks, what is the probability D that Tommy CANNOT form a triangle from the 3 sticks?
Choices:
13/32
15/32
17/32
19/32
Answer: B
Question: A confectioner decides to sell all of his pastry due to the coming holiday. His pastry goods are equally divided among a group of 30 regular customers. If only 49 customers come to the bakery, each one will receive 6 less pastry goods. How much pastry does the confectioner needs to sell?
Choices:
450.
432.
502.
522.
Answer: A
Question: What is the total cost of 2 sandwiches at $2.44 each and 4 sodas at $0.87 each?
Choices:
$6.85
$8.36
$10.08
$11.85
Answer: B
Question: A class average mark in an exam is 70. The average of students who scored below 60 is 50. The average of students who scored 60 or more is 75. If the total number of students in this class is 20, how many students scored below 60?
Choices:
10
15
20
25
Answer: C
Question: A student committee on academic integrity has 132 ways to select a president and vice president from a group of candidates. The same person cannot be both president and vice president. How many candidates are there?
Choices:
8
9
10
12
Answer: D
Question: The average of ten numbers is 8. If each number is multiplied by 12, then what is the average of the new set of numbers?
Choices:
12
20
96
120
Answer: C
Question: 18 business executives and 7 chairmen meet at a conference. If each business executive shakes the hand of every other business executive and every chairman once, and each chairman shakes the hand of each of the business executives but not the other chairmen, how many handshakes would take place?
Choices:
131
279
90
45
Answer: B
Question: A and B can finish a work 30 days if they work together. They worked together for 20 days and then B left. A finished the remaining work in another 20 days. In how many days A alone can finish the work?
Choices:
60
40
20
50
Answer: A
Question: Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?
Choices:
1800
2700
10800
None
Answer: A
Question: The average of six number is x and the average of three of these is y. if the average of the remaining three is z, then :
Choices:
2x = y+z
x = 2y+2z
None of these
Cannot be determined
Answer: A
Question: If taxi fares were $10.00 for the first 1/5 mile and $1.00 for each 1/5 mile there after, then the taxi fare for a 10-mile ride was
Choices:
$59.20
$59.40
$59.00
$55.00
Answer: C
Question: The positive two-digit integers s and t have the same digits, but in reverse order. Which of the following must be a factor of s + t?
Choices:
9
44
12
14
Answer: B
Question: Find the fraction which has the same ratio to 2/5 that 3/8 has to 1/5
Choices:
3/4
5/8
9/6
8/7
Answer: A
Question: Out of 9 persons, 8 persons spent Rs. 30 each for their meals. The ninth one spent Rs. 20 more than the average expenditure of all the nine. The total money spent by all of them was ?
Choices:
Rs.292.50
Rs.292.12
Rs.292.27
Rs.292.11
Answer: A
Question: How many ways can 10 letters be posted in 5 post boxes, if each of the post boxes can take more than 10 letters ?
Choices:
5^10
5^18
5^12
5^11
Answer: A
Question: A trader bought a car at 5% discount on its original price. He sold it at a 60% increase on the price he bought it. What percent of profit did he make on the original price?
Choices:
62%
52%
19%
22%
Answer: B
Question: A man is 24 years older than his son. In two years, his age will be twice the age of his son. What is the present age of his son?
Choices:
21 Years
20 Years
25 Years
22 Years
Answer: D
Question: When p is divided by 9, the remainder is 5. All of the following are possible values of p, except for which of the following?
Choices:
32
50
58
68
Answer: C
Question: A can do a piece of work in 4 days. B can do it in 5 days. With the assistance of C they completed the work in 3 days. Find in how many days can C alone do it?
Choices:
8 4/7 days
16 days
19 days
36 days
Answer: A
Question: if each of its sides of a rectangle is increased by 25%, what is the percentage increase in the area of the rectangle, ?
Choices:
58.25%
56.25%
26.25%
51.25%
Answer: B
Question: The Tens digit of a two digit number is 4 times of its unit digit and the sum of the digits be 10. Then the first number is
Choices:
73
53
82
89
Answer: C
Question: After MM students took a test, there was a total of 64% of correct answers. If the test contains 50 questions, what is the least number of questions that the next student have to get right to bring the total of correct answers to 70% ?
Choices:
3M + 35
4M + 15
4M + 20
4M + 45
Answer: A
Question: A necklace is made by stringing N individual beads together in the repeating pattern yellow bead, green bead, white bead, red bead, and blue bead. If the necklace design begins with a yellow bead and ends with a white bead, then N could equal
Choices:
75
85
68
95
Answer: C
Question: 222, 224, 228, 234, 242, (....)
Choices:
258
252
250
244
Answer: B
Question: In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 46, the dividend is?
Choices:
5328
5336
5340
5342
Answer: B
Question: A basketball team plays games only against the other five teams in its league and always in the following order: Croton, Darby, Englewood, Fiennes, and Garvin. If the team’s final game of the season is against Fiennes, which of the following could be the number of games in the team’s schedule?
Choices:
24
56
72
81
Answer: A
Question: The length of the rectangular field is double its width. Inside the field there is square shaped pond 8m long. If the area of the pond is 1/2 of the area of the field. What is the length of the field?
Choices:
16
34
43
42
Answer: A
Question: A man sells a horse for Rs.800 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse?
Choices:
377
328
860
453
Answer: C
Question: Set #1 = {A, B, O, D, E}
Set #2 = {K, L, M, N, U, P}
There are these two sets of letters, and you are going to pick exactly one letter from each set. What is the probability of picking at least one vowel?
Choices:
1/4
1/2
1/3
2/3
Answer: D
Question: Keats Library purchases a number of new books, all in the category of biography, and the library does not acquire any other books. With the addition of the new biographies, the biography collection of the library amounts to 35% of the total number of books in the library. If prior to the purchase, only 20% of the books in Keats Library were biographies, by what percent has the number of biographies in the library increased?
Choices:
65%
85%
115%
125%
Answer: C
Question: A train which has 420 m long, is running 45 kmph. In what time will it cross a person moving at 9 kmph in same direction ?
Choices:
42 sec
36 sec
29 sec.
19 sec.
Answer: A
Question: Husband and wife having average age of 26 years at their marriage time. After four years they have a two year old child. The average age of the family now
Choices:
20.66 years
28.5 years
29.3 years
None of these
Answer: A
Question: Adding two non multiples of x always results in a multiple of x; which of the following must be the value of x ?
Choices:
three
five
ten
hundred
Answer: A
Question: Nitin’s salary is reduced by 10% and then reduced salary is increased by 10%. Find ,how many percentage his present salary is less as compared to his previous salary?
Choices:
10%
1%
5%
15%
Answer: B
Question: The positive integers m and n leave remainders of 2 and 3, respectively, when divided by 6. m > n.
What is the remainder when m – n is divided by 6?
Choices:
2
3
4
5
Answer: D
Question: Two years ago, Ram put $500 into a savings account. At the end of the first year, his account had accrued $100 in interest bringing his total balance to $600. The next year, his account balance increased by 10%. At the end of the two years, by what percent has Ram's account balance increased from his initial deposit of $500 ?
Choices:
28%
30%
32%
25%
Answer: C
Question: How many positive integers less than 100 are neither multiples of 2 or 3?
Choices:
31
32
33
34
Answer: C
Question: A team scored a total of 118 points. If each player on the team scored at least 14 points, then what is the greatest possible number of players on the team?
Choices:
7
8
9
10
Answer: B
Question: The parameter of a square is double the perimeter of a rectangle. The area of the rectangle is 480 sq cm. Find the area of the square?
Choices:
288
480
28
929
Answer: A
Question: A certain quantity of 40% concentration solution is replaced with 20% concentration solution such that the concentration of the combined amount is 35%.
What's the ratio of the amount of solution that was replaced to the amount of solution that was not replaced?
Choices:
1:3
2:3
2:1
3:1
Answer: A
Question: There are a total of 15 students in Mr. Sam's gym class. Over the course of a badminton unit, each of the 15 students will compete exactly once against every other student in the class. How many total games of badminton will be played?
Choices:
105
190
110
161
Answer: A
Question: By selling 16 pencils for a rupee a man loses 10%. How many for a rupee should he sell in order to gain 20%?
Choices:
9
12
89
81
Answer: B
Question: Mr. Jones sold two pipes at $2 each. Based on the cost, his profit one was 40% and his loss on the other was 20%. On the sale of the pipes. Find the amount of his profit or loss?
Choices:
lost 4 cents
broke even
gained 40 cents
gained 10 cents
Answer: C
Question: By travelling at 40 kmph, a person reaches his destination on time. He covered two-third the total distance in one-third of the total time. What speed should he maintain for the remaining distance to reach his destination on time?
Choices:
20
77
63
61
Answer: A
Question: A man sells a horse for Rs.800 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse?
Choices:
Rs.875
Rs.850
Rs.860
Rs.870
Answer: C
Question: On the first of the year, James invested x dollars at Proudstar bank in an account that yields 3% in interest every quarter year. At the end of the year, during which he made no additional deposits or withdrawals, he had y dollars in the account. If James had invested the same amount in an account which pays interest on a yearly basis, what must the interest rate be for James to have y dollars at the end of the year?
Choices:
16.12%
12.5%
18.25%
10%
Answer: B
Question: If 9 is a factor of 2z, then which of the following may not be an integer?
Choices:
6z/54 + 2z/3
(2z+27)/9
(81-4z^2)/81
(2z-3)/3
Answer: A
Question: The cost price of a radio is Rs.1500 and it was sold for Rs.1290, find the loss %?
Choices:
14%
17%
78%
28%
Answer: A
Question: 7, 14, 35, 56, 91, 126
In the sequence above, each term is related with the others. Which of the following could not be a term in the sequence?
Choices:
259
322
686
841
Answer: D
Question: A can finish a piece of work in 5 days. B can do it in 10 days. They work together for two days and then A goes away. In how many days will B finish the work?
Choices:
4 days
7 days
1 days
3 days
Answer: A
Question: There are how many 4-digit even numbers if the first digit cannot be a zero?
Choices:
3,645
4,500
4,999
5,000
Answer: B
Question: If two painters can complete two rooms in two hours, how many hours 10 painters would it take to do 20 rooms?
Choices:
4
5
8
7
Answer: A
Question: A ball is bought for Rs.400 and sold at a gain of 35% find its selling price?
Choices:
B)Rs.490/-
C)Rs.500/-
D)Rs.520/-
E)Rs.540/-
Answer: D
Question: Fom the integer n, if n*n*n is odd, then what is true from below options?
Choices:
n is odd and n*n is even
n is odd
n*n is odd
n*n is even
Answer: A
Question: At the beginning of 2007, Atlantis Investing had 7000 Stocks and 5000 Dividends. At the end of 2007, Atlantis Investing had 9500 Stocks and 8000 Dividends. By approximately what percent did the ratio of Stocks to Dividends decrease from the beginning to end of the year
Choices:
3.2%
7.8%
15.2%
30.4%
Answer: C
Question: The difference of two numbers is 1465. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number ?
Choices:
B)280
C)290
D)300
E)310
Answer: B
Question: A train running at a speed of 36 km/h passes an electric pole in 14 seconds. In how many seconds will the whole train pass a 360-meter long platform?
Choices:
46
48
50
52
Answer: C
Question: In what time will a train 350 m long cross an electric pole, it its speed be 144 km/hr?
Choices:
2.95 sec
1.3 sec
8.75 sec
1.85 sec
Answer: C
Question: In a certain growth fund, 3/5 of the investment capital is invested in stocks, and of that portion, 1/3 is invested in preferred stocks. If the mutual fund has $841,000 invested in preferred stocks, what is the total amount of money invested in the fund?
Choices:
$2,538,000
$3,264,000
$3,826,000
$4,205,000
Answer: D
Question: What is the probability of getting a sum 9 from two throws of a dice?
Choices:
1/9
1/18
2/15
6/10
Answer: A
Question: A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2400?
Choices:
s.800
s.820
s.900
s.920
Answer: A
Question: A discount electronics store normally sells all merchandise at a discount of 10 percent to 30 percent off the suggested retail price. If, during a special sale, an additional 15 percent were to be deducted from the discount price, what would be the lowest possible price of an item costing $260 before any discount?
Choices:
$145.60
$154.70
$182.00
$210.00
Answer: B
Question: On dividing 95 by a number, the quotient is 6 and the remainder is 5. Find the divisor.
Choices:
15
16
17
18
Answer: A
Question: A fort of 2000 soldiers has provisions for 50 days. After 10 days some of them left and the food was now enough for the same period of 50 days as before. How many of them left?
Choices:
400
278
270
279
Answer: A
Question: The sum of first 45 natural numbers is:
Choices:
1035
1042
1045
1050
Answer: A
Question: How many positive integers less than 243 are multiple of 4 but NOT multiples of 6?
Choices:
31
42
40
64
Answer: C
Question: A crate of mangoes contains one bruised mango for every thirty mango in the crate. If three out of every four bruised mango are considerably unsaleble and there are 13 unsaleable mangoes in the crate then how msny mango are there in the crate?
Choices:
110 mangoes
120 mangoes
130 mangoes
125 mangoes
Answer: C
Question: The price of a certain television set is discounted by 10 percent, and the reduced price is then discounted by 10 percent. This series of successive discounts is equivalent to a single discount of
Choices:
19%
18%
11%
10%
Answer: A
Question: Tickets numbered from 1 to 20 are mixed and then a ticket is selected randomly. What is the probability that the selected ticket bearsa number which is a multiple of 3?
Choices:
3/8
3/10
4/11
5/13
Answer: B
Question: For which of the following values of s is (50+s)/s an integer?
Choices:
4
9
11
50
Answer: D
Question: Sonika deposited Rs.8000 which amounted to Rs.9200 after 3 years at simple interest. Had the interest been 2% more. She would get how much?
Choices:
Rs.9680
Rs.9380
Rs.9800
None of these
Answer: A
Question: A pharmaceutical company received $3 million in royalties on the first $20 million in sales of the generic equivalent of one of its products and then $9 million in royalties on the next $108 million in sales. By approximately what percent did the ratio of royalties to sales decrease from the first $20 million in sales to the next $108 million in sales?
Choices:
15%
45%
52%
56%
Answer: B
Question: In how many different ways can change be provided for a one dollar bill using pennies (1 cent), nickels (5 cents), dimes (10 cents), and quarters (25 cents), if at least two of each type of coin must be included?
Choices:
6
8
10
15
Answer: A
Question: What is the remainder when 570 is divided by 6?
Choices:
1
3
4
45
Answer: A
Question: If the Valentine's Day in 2005 falls on Monday, then on which day will the Valentine's Day fall on 2010?
Choices:
Tuesday
SUNDAY
Wednesday
Friday
Answer: B
Question: Two trains travelling in the same direction at 40 and 22 kmph completely pass off another in 1 minute. If the length of the first train is 125 m, what is the length of the second train?
Choices:
166 m
175 m
677 m
776 m
Answer: B
Question: Including Cara and Dan, there are seven members on the board of directors for a company. If the board is to be split up into a five-person subcommittee, what fraction of all the possible subcommittees that include Cara, also include Dan?
Choices:
5/6
4/5
3/4
2/3
Answer: D
Question: A shoemaker can make 10 shoes per day. One-fifth of the shoes produced are defective and one-quarter of all shoes produced are rejected. If one-tenth of the nondefective shoes are rejected by mistake, and if all the shoes not rejected are sold, then what percent of the shoes sold are defective?
Choices:
2%
3%
4%
5%
Answer: C
Question: 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, (...)
Choices:
47
48
59
71
Answer: D
Question: There is a train and car. The ratio btw the speed of a train & a car is 16:15 respectively. Also, a bus covered a distance of 480km in 8h. The speed of the bus is 3/4th of the speed of the train. How much distance will the car cover in 6h?
Choices:
320 km
370 km
430 km
450 km
Answer: D