antoine-444/aqua_rat_dataset huggingface dataset:
Question: The greatest ratio out of 2:3, 5:8, 3:1, 8:9 and 8:5 is?
Choices:
3:1
5:8
8:5
8:9
Answer: A
Question: A fruit shake costs R 2,00 more than a chocolate milk shake. If 3 fruit shakes and 5 chocolate milk shakes cost R 78,00, determine the individual prices.
Choices:
x=4,y=4
x=7,y=5
x=5,y=11
x=9,y=11
Answer: D
Question: How many two-digit numbers yield a remainder of 1 when divided by both 4 and 17?
Choices:
1
2
3
4
Answer: A
Question: In 2 bags, there are to be put together 5 red and 12 white balls, neither bag being empty. How must the balls be divided so as to give a person who draws 1 ball from either bag- the least chance of drawing a red ball ?
Choices:
2/32
3/32
4/32
5/32
Answer: D
Question: A man sells two articles for Rs.3600 each and he gains 35% on the first and loses 35% on the next. Find his total gain or loss?
Choices:
400
12.25%loss
324
8% LOSS
Answer: B
Question: Albert invested an amount of Rs. 8000 in a fixed deposit scheme for 2 years at compound interest rate 5 p.c.p.a. How much amount will Albert get on maturity of the fixed deposit?
Choices:
Rs. 8620
Rs. 8820
Rs. 8000
None of these
Answer: B
Question: There are two box,one containing 39 red balls and the other containing 26 green balls. You are allowed to move the balls between the boxes so that when you choose a box at random and a ball at random from the chosen box, the probability of getting a red ball is maximized. This maximum probability is
Choices:
.50
.70
.80
.90
Answer: C
Question: If a car went the first third of the distance at 80 kmh, the second third at 30 kmh, and the last third at 48 kmh, what was the average speed of the car for the entire trip?
Choices:
40 kmh
42 kmh
45 kmh
50 kmh
Answer: C
Question: Calculate the speed of a stream if a boat going upstream at
4km/hr and downstream at 8km/hr
Choices:
2 kmph
3 kmph
6 kmph
8 kmph
Answer: A
Question: A batch of cookies was divided among three tins: 2/3 of all the cookies were placed in either the blue tin or the green tin, and the rest were placed in the red tin. If 1/4 of all the cookies were placed in the blue tin, what fraction R of the cookies that were placed in the other tins were placed in the green tin?
Choices:
9/4
5/9
7/5
9/7
Answer: B
Question: Which of the following is closest to the difference between sum Q of all proper fractions (fractions less than 1) in the form 1/x , where x is a positive digit, and the product of all proper fractions in the form y/(y+1), where y is a positive digit?
Choices:
2.72
1.82
1.72
0.82
Answer: C
Question: A can run a kilometer race in 4 1/2 min while B can run same race in 5 min. How many meters start can A give B in a kilometer race, so that the race mat end in a dead heat?
Choices:
500 m
250 m
100 m
150m
Answer: C
Question: If x > 3000, then the value of (3x)/(2 x^1.21 - 1111^1.3) is closest to?
Choices:
1/3
10/21
4/10
3/2
Answer: C
Question: Q. How many 9-digit even numbers less than 3,000,000 can be formed using the following digits: 1, 2, 2, 3, 5, 5, 6, 6, 7?
Choices:
140
210
270
300
Answer: A
Question: Find the 100th place digit of a number forming from digits 1 to 9 without repeatation and number passes the divisibility test of 11 means difference of sum of alternative digits is 0 or divisible by 11.
Choices:
2
3
4
5
Answer: C
Question: n is a whole number which when divided by 4 gives 3 as remainder. What will be the remainder when 2*n is divided by 4 ?
Choices:
2
6
7
1
Answer: A
Question: A candidate got 30% of the votes polled and he lost to his rival by 4000 votes. How many votes were cast?
Choices:
2028
2775
10000
6851
Answer: C
Question: The average of first 10 odd numbers is?
Choices:
10
87
23
34
Answer: A
Question: A cricketer scored 138 runs which included 12 boundaries and 2 sixes. What percent of his total score did he make by running between the wickets.
Choices:
54.54 %
63%
56.52%
None of these
Answer: C
Question: If 36 men can do a piece of work in 25 hours, in how many hours will 15 men do it ?
Choices:
40 hours
20 hours
60 hours
None of them
Answer: C
Question: Calculate the value of q from the below equation: q^3âˆ’25q+5=173
Choices:
7
6
9
8
Answer: A
Question: If 45% of z is 90% of y and y is 75% of x, what percent of x is z?
Choices:
160
100
65
150
Answer: D
Question: The area of a rectangular field is equal to 200 square meters. Its perimeter is equal to 60 meters. Find the width of this rectangle.
Choices:
10
15
20
25
Answer: A
Question: 417 x 417 + 383 x 383=?
Choices:
320578
80698
81268
None of them
Answer: A
Question: The average weight of a group of boys is 30 kg. After a boy of weight 38 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ?
Choices:
B)8
C)6
D)2
E)7
Answer: D
Question: Operation # is defined as: a # b = 4a^2 + 4b^2 + 8ab for all non-negative integers. What is the value of (a + b) + 5, when a # b = 100?
Choices:
8
10
13
17
Answer: B
Question: If the median of a list of numbers is m, the first quartile of the list is the median of the numbers in the list that are less than m. What is the first quartile of the list of numbers 42, 24, 30, 28, 26, 19, 33 and 35 ?
Choices:
28
27
25
23
Answer: C
Question: A vessel of capacity 90 litres is fully filled with pure oil. Nine litres of oil is removed from the vessel and replaced with water. Nine litres of the solution thus formed is removed and replaced with water. Find the quantity of pure oil in the final oil solution?
Choices:
54.9 litres
37.9 litres
72.9 litres
27.9 litres
Answer: C
Question: A set of football matches is to be organized in a "round-robin" fashion, i.e., every
participating team plays a match against every other team once and only once. If 21
matches are totally played, how many teams participated?
Choices:
5
6
7
8
Answer: C
Question: If each letter in the English alphabet is assigned an even number such as A = 2, B = 4 and so on, then what will be the total value of the letters in the word LEAD?
Choices:
40
46
44
48
Answer: C
Question: What is the unit digit in the product (3^65 x 6^59 x 7^71)?
Choices:
4
6
2
1
Answer: A
Question: Divide $300 among A,B in the ratio 1:2. How many $ that A get?
Choices:
$500
$150
$250
$100
Answer: D
Question: A man can row
9 1/3
kmph in still water and finds that it takes him thrice as much time to row up than as to row, down the same distance in the river. The speed of the current is.
Choices:
4 2/3kmph
5 2/3kmph
6 2/3kmph
None of these
Answer: A
Question: A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered.If the area of the field is 800 sq.ft, how many feet of fencing will be required ?
Choices:
100feet
150feet
180feet
186feet
Answer: A
Question: A certain league has four divisions. The respective divisions had 9, 10, 11, and 12 teams qualify for the playoffs. Each division held its own double-elimination tournament -- where a team is eliminated from the tournament upon losing two games -- in order to determine its champion. The four division champions then played in a single-elimination tournament -- where a team is eliminated upon losing one game -- in order to determine the overall league champion. Assuming that there were no ties and no forfeits, what is the maximum number of games that could have been played in order to determine the overall league champion?
Choices:
79
85
87
88
Answer: A
Question: For the symbol, m”n=n^2−m for all values of m and n. What is the value of 6”3?
Choices:
3
2
1
0
Answer: A
Question: A brick measures 20 cm * 10 cm * 7.5 cm how many bricks will be required for a wall 25 m * 2 m * 0.75 m?
Choices:
27991
92211
25000
27821
Answer: C
Question: Find the number of zeroes in the expression 15*32*25*22*40*75*98*112*125
Choices:
9
14
7
8
Answer: A
Question: 1904 x 1904 = ?
Choices:
3624216
3624316
3625116
3625216
Answer: D
Question: A fraudulent dairy guy declares to market his dairy at price range but he combined it with water and therefore benefits 25%. The percentage of water in the combination is:
Choices:
20%
50%
35%
60%
Answer: A
Question: On Monday Joshua sold 90 phones, Rob sold 30% more phones than Joshua, Prerna sold 11 more phones than Rob, and Declan sold 3/4 of what Prerna sold. How many phones did Declan sell?
Choices:
75
29
128
96
Answer: D
Question: Today John is twice as old as Sam and Sam is 3 years younger than Mike. If John, Sam, and Mike are all alive 4 years from today, which of the following must be true on that day. I. John is twice as old as Sam II. Sam is 3 years younger than Mike III. John is older than Mike
Choices:
I
II
I,II & III
III
Answer: C
Question: Kate and Danny each have $10. Together, they flip a fair coin 5 times. Every time the coin lands on heads, Kate gives Danny $1. Every time the coin lands on tails, Danny gives Kate $1. After the five coin flips, what is the probability W that Kate has more than $10 but less than $15?
Choices:
1/2
12/30
W=15/32
W=3/8
Answer: C
Question: Find unit digit of{(6374)^1793 x (625)^317 x (341)^491}.
Choices:
15
0
20
69
Answer: B
Question: The ratio by weight, measured in pounds, of books to clothes to electronics in a suitcase initially stands at 5:4:2. Someone removes 7 pounds of clothing from the suitcase, thereby doubling the ratio of books to clothes. How many pounds do the electronics in the suitcase weigh?
Choices:
7
8
9
10
Answer: A
Question: A woman has two blouses of different colors, three skirts of different colors, and two different pairs of shoes. She refuses to wear her pink blouse with her green skirt. How many different blouseskirt-shoe combinations could she wear?
Choices:
10
16
17
18
Answer: A
Question: A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs 8 g/cm^3, then the weight of the pipe is:
Choices:
3.696 kg
36 kg
36.9 kg
3.06 kg
Answer: A
Question: A train passes a station platform in 34 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Choices:
210
188
266
281
Answer: A
Question: One computer can upload 120 megabytes worth of data in 6 seconds. Two computers, including this one, working together, can upload 1300 megabytes worth of data in 42 seconds. How long would it take for the second computer, working on its own, to upload 120 megabytes of data?
Choices:
7
9.13
11
13
Answer: B
Question: How many two-digit numbers yield a remainder of 1 when divided by both 6 and 15?
Choices:
1
2
3
4
Answer: B
Question: At a small company, 76 percent of the employees are women, and 60 percent of the employees are married. If 2/3 of the men are single, what fraction of the women are married?
Choices:
13/19
9/20
7/10
5/7
Answer: A
Question: If CD represents a positive two digit number, where C and D are single digit integers, which of the following cannot be true?
Choices:
(C)(D)=9
C-D = 9
D-C= 9
C/D = 9
Answer: C
Question: 8^100 is divisible by 17. Find the remainder for this?
Choices:
12
16
17
19
Answer: B
Question: The speed of a boat in upstream is 60 kmph and the speed of the boat downstream is 80 kmph. Find the speed of the boat in still water and the speed of the stream?
Choices:
10 kmph
77 kmph
66 kmph
99 kmph
Answer: A
Question: A single letter is selected at random from the word 'SIM'. The probability that it is a vowel is..??
Choices:
3/11
4/11
1/3
1
Answer: C
Question: In year Y imported machine tools accounted for 25 percent of total machine - tool sales in the United States, and Japanese imports accounted for 55 percent of the sales of imported machine tools. If the total sales of machine tools imported Japan that year was x billion dollars, then the total sales of all machine tools in the United States was how many billion dollars?
Choices:
13X/20
80/9X
20X/13
80X/11
Answer: D
Question: In 2000, a town had 1300 males and 1400 females. In 2015, the same town had 56500 males and 60000 females. By approximately what percent did the ratio of males to females increase from 2000 to 2015.
Choices:
0.7%
0.9%
1.1%
1.4%
Answer: D
Question: A train 600 meters long is running with a speed of 50 kmph. The time taken by it to cross a tunnel 170 meters long is?
Choices:
288 sec
55 sec
16 sec
17 sec
Answer: B
Question: Which one the following fractions has the smallest value?
Choices:
123/849
123/874
123/877
246/1700
Answer: C
Question: If a is a positive integer, then 5^a+1^a =?
Choices:
1+(5^a)
2a
2a^(a + 1)
None
Answer: A
Question: If P gets 25% more than Q, then by what percent does Q get less than P?
Choices:
22%
12%
20%
13%
Answer: B
Question: The present population of a town is 2000. Population increase rate is 20% p.a. Find the population of town after 1 years?
Choices:
2400
1500
1600
1250
Answer: A
Question: A straight fence is to be constructed from posts 6 inches wide and separated by lengths of chain 5 feet long. If a certain fence begins and ends with a post, which of the following could be the length of the fence in feet? (12 inches = 1 foot).
Choices:
17
266
2777
88
Answer: A
Question: The toll T, in dollars, for a truck using a certain bridge is given by the formula T =3.50 + 0.50( x − 2), where x is the number of axles on the truck. What is the toll for an 18-wheel truck that has 2 wheels on its front axle and 4 wheels on each of its other axles?
Choices:
$ 3.00
$ 3.50
$ 4.00
$ 5.00
Answer: D
Question: If Yury has been writing programming code for 15 hours at a rate of 5 lines of code per 20 seconds, how many lines of code has he written?
Choices:
135(10^2)
12.6(10^5)
1.26(10^7)
.126(10^9)
Answer: A
Question: A sum of money at simple interest amounts ti $2240 in 2 years and to $ 2600 in 5 years. What is the principal amount?
Choices:
$1880
$2120
$2000
$1980
Answer: C
Question: A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 30 as remainder. Find the no. is?
Choices:
234545
165767
144656
220030
Answer: D
Question: By selling an shirt for $300, a shop keeper gains 20%. During a clearance sale, the shopkeeper allows a discount of 10% on the marked price. His gain percent during the sale is:
Choices:
14
8%
12
10
Answer: B
Question: An author received $0.80 in royalties for each of the first 100,000 copies of her book sold, and $0.50 in royalties for each additional copy sold. If she received a total of $260,000 in royalties, how many copies of her book were sold?
Choices:
300,000
380,000
400,000
460,000
Answer: D
Question: All windows are doors. No door is wall
Conclusions:
1. No window is wall
2. No Wall is door
Choices:
Both 1 and 3 follow
Both 4 and 1 follow
Both 1 and 2 follow
Both 1 and 6 follow
Answer: C
Question: If 1 + 9 + 11 = 1, Then what is the value of
12 + 11 + 9 = ?
Choices:
Ten
six
five
foue
Answer: A
Question: A delegation of 5 members has to be formed from 3 ladies and 5 gentlemen. In how many ways the delegation can be formed, if 2 particular ladies are always included in the delegation?
Choices:
20
37
27
24
Answer: A
Question: There are 3 states and 3 students representing each state. In how many ways can 5 students be chosen such that at Least one student is chosen from each state.
Choices:
108.
128
138
148
Answer: A
Question: 2 oranges, 3 bananas and 4 apples cost Rs.15. 3 oranges, 2 bananas and 1 apple costs Rs 10. What is the cost of 3 oranges, 3 bananas and 3 apples
Choices:
28
15
77
10
Answer: B
Question: A certain sum amounts to Rs.7350 in 2 years and to Rs.8575 in 3 years.find the sum and rate percent
Choices:
5400
5200
6500
5300
Answer: A
Question: The number of stamps that Kaye and Alberto had were in the ration of 5:3 respectively. After Kaye gave Alberto 10 of her stamps, the ration of the number of Kaye had to the number of Alberto had was 3:2. As a result of the gift, Kaye had how many more stamps than Alberto?
Choices:
30
40
60
80
Answer: D
Question: Two cards are drawn together at random from a pack of 52 cards. What is the probability of both the cards being Queens?
Choices:
1/221
1/224
1/212
1/232
Answer: A
Question: A printer print a page in 4 second,approx how long time it will take to print 190 page report?
Choices:
12 Min 40 Sec
16 Min 40 Sec
18 Min 40 Sec
11 Min 40 Sec
Answer: A
Question: The prime minister of a country and 4 other dignitaries are scheduled to sit in a row on the 5 chairs represented above. If the prime minister must sit in the center chair, how many different seating arrangements are possible for the 5 people?
Choices:
24
20
21
120
Answer: A
Question: A metallic sphere of radius 12 cm is melted and drawn into a wire, whose radius of cross section is 16 cm. What is the length of the wire?
Choices:
9
7
6
5
Answer: A
Question: The first three terms of a proportion are 4, 9 and 12. The fourth term is?
Choices:
25
26
27
28
Answer: C
Question: The perimeters of 2 squares are 60cm and 48cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares?
Choices:
28cm
36cm
48cm
40cm
Answer: B
Question: Compound interest of Rs.4000 at 10% per annum for 1 1/2years will be (interest compounded half yearly).
Choices:
Rs.374
Rs.495
Rs.630
None of the above
Answer: C
Question: This topic is locked. If you want to discuss this question please re-post it in the respective forum.
If y ≠ 3 and 3t/y is a prime integer greater than 2, which of the following must be true?
I. t = y
II. y = 1
III. t and y are prime integers.
Choices:
None
II only
III only
I and III
Answer: A
Question: In a fuel station the service costs $1.75 per car, every liter of fuel costs 0.65$. Assuming that a company owns 12 cars and that every fuel tank contains 65 liters and they are all empty, how much money total will it cost to fuel all cars?
Choices:
380$
420$
450$
528$
Answer: D
Question: Vijay bought 160 shirts at the rate of Rs. 225 per shirt. The transport expenditure was Rs. 1400. He paid an octroi at the rate of Rs. 1.75 per shirt and labour charges were Rs. 320. What should be the selling price of one shirt, if he wants a profit of 50%?
Choices:
229
356.25
285
2812
Answer: B
Question: A man can row his boat with the stream at 6 km/h and against the stream in 4 km/h. The man's rate is?
Choices:
1 kmph
4 kmph
9 kmph
2 kmph
Answer: A
Question: If a man walks to his office at ¾ of his usual rate, he reaches office 1/3 of an hour late than usual. What is his usual time to reach office?
Choices:
1 hour
7 hour
6 hour
8 hour
Answer: A
Question: If P * Q implies (P2 + Q2), 8 * (3 * 2) = ?
Choices:
86
233
104
640
Answer: B
Question: At the end of the month, a certain ocean desalination plant’s reservoir contained 14 million gallons of water. This amount is twice the normal level. If this amount represents 70% of the reservoir’s total capacity, how many million gallons short of total capacity is the normal level?
Choices:
5
10
12
15
Answer: B
Question: The probability of a lottery ticket being a prized ticket is 0.2. When 4 tickets are purchased, the probability of winning a prize on atleast one ticket is
Choices:
0.5904
0.2788
0.2699
0.2998
Answer: A
Question: If a car had increased its average speed for a 210 mile journey by 5 mph, the journey would have been completed in one hour less. What was the original speed of the car for the journey?
Choices:
16 mph
50 mph
20 mph
30 mph
Answer: D
Question: Right now, the ratio between the ages of Sandy and Molly is 4:3. After 6 years, Sandy’s age will be 66 years. What is Molly's age right now?
Choices:
35 years
25 years
45 years
55 years
Answer: C
Question: list of salaries of 8 employees are listed below. What is the median salary? $40,000, $29,000, $35,500, $31,000, $43,000, $30,000, $27,000, $32,000
Choices:
$23,540
$23,550
$30,590
$31,500
Answer: D
Question: Point X is located on line segment AB and point Y is located on line segment CD. If AB = CD and AX < CY, then
Choices:
XB > YD
AX > XB
AX < XB
AX > AB
Answer: A
Question: If a(a + 2) = 80 and b(b + 2) = 80, where a ≠ b, then a + b =
Choices:
-4
-6
-8
-2
Answer: D
Question: A bucket full of worms kept for Mike's next fishing trip was discovered by the rat that resides in the basement. The rat eats a sixth of the total number of worms in 5 hours. How much time will it take the rat to finish a quarter of the worms?
Choices:
6 hours
7.5 hours
8 hours
30 hours
Answer: B
Question: The area of sector of a circle whose radius is 12 metro and whose angle at the center is 41° is?
Choices:
50m2
51.5m2
53m2
59m2
Answer: B
Question: A man can row upstream at 25 kmph and downstream at 43 kmph, and then find the speed of the man in still water?
Choices:
34
30
15
17
Answer: A
Question: If logx 4 = 1/4, then x is equal to
Choices:
64
128
256
none
Answer: C
Question: A shop owner sells 90 oranges and gains SP of 20 oranges. Find the gain %?
Choices:
27 4/7%
30 4/7%
29 4/7%
28 4/7%
Answer: D
Question: Siva Reddy walked 2 km west of his house and then turned south covering 4 km. Finally, He moved 3 km towards east and then again 1 km west. How far is he from his initial position?
Choices:
9 km
2 km
4 km
8 km
Answer: C
Question: Every year an amount increases by 1/8th of itself. How much will it be after two years if its present value is Rs.6400?
Choices:
8100
7767
2009
22888
Answer: A
Question: A Jar contains a mixture of AB in the ratio 4:1. When 40 L of Mixture is replaced with liquid B, ratio becomes 2:3. How many liters of liquid A was present in mixture initially.
Choices:
15
16
64
25
Answer: C
Question: The average of 11 numbers is 10.8. If the average of first six is 10.5 and that of the last six is 11.4 the sixth number is?
Choices:
12.6
10.5
11.5
12
Answer: A
Question: John have a 630ml mixture of milk and water in the ratio 7:2. How much water must be added to make the ratio 7:3?
Choices:
50 m
70 m
90 m
100 m
Answer: B
Question: The inverse ratio of 3: 6: 1 is?
Choices:
2:3:9
2:1:6
2:3:6
2:3:1
Answer: B
Question: Two girls begin together to write out a book containing 900 lines. The first girl starts with the first line, writing at a speed of 150 lines per hour and the second girl starts writing from the last line at the rate of 200 lines per hour. At which line will they meet?
Choices:
386th line
389th line
400th line
None of these
Answer: A
Question: A man can do a job in 5 days. His father takes 20 days and his son finishes it in 25 days. How long will they take to complete the job if they all work together?
Choices:
6.9
3.5
6.1
6.2
Answer: B
Question: A tank is 25m long 12m wide and 6m deep. The cost of plastering its walls and bottom at 30 paise per sq m is
Choices:
Rs. 223.20
Rs. 423.20
Rs. 523.20
None of these
Answer: A
Question: A basket contains 2 blue, 2 red and 2 yellow marbles. If 2 marbles are extracted from the basket at random, what is the probability that a marble of each color is among the extracted?
Choices:
2/5
1/6
9/28
11/24
Answer: A
Question: The cost of carpeting a room 15 meters long with a carpet 75 cm wide at 30 paise per meter is Rs. 36. The breadth of the room is ?
Choices:
6 meters
8 meters
9 meters
10 meters
Answer: A
Question: A train is 100 meter long and is running at the speed of 30 km per hour. Find the time it will take to pass a man standing at a crossing.
Choices:
12 sec
14 sec
16 sec
20 sec
Answer: A
Question: Population of a city in 20004 was 1200000. If in 2005 there isan increment of 15% , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45%, then find the population of city at the end of the year 2007
Choices:
545454
465785
456573
1300650
Answer: D
Question: Gary’s Gas Station serves an average of 14 cars per hour on Saturdays, 10 cars per hour on Sundays, and 9 cars per hour on all other days of the week. If the station is open from 6 a.m. to 10 p.m. every day, how many cars does Gary’s station serve over the course of a typical week?
Choices:
1,104
1,240
1,280
1,320
Answer: A
Question: A and B can do a piece of work in 12 days and 16 days respectively. Both work for 3 days and then A goes away. Find how long will B take to complete the remaining work?
Choices:
7 days
9 days
8 days
2 days
Answer: B
Question: A certain board game is played by rolling a pair of fair six-sided dice and then moving one's piece forward the number of spaces indicated by the sum showing on the dice. A player is frozen if her opponent's piece comes to rest in the space already occupied by her piece. If player A is about to roll and is currently seven spaces behind player B, what is the probability that player B will be frozen after player A rolls?
Choices:
5/36
1/6
1/3
17/36
Answer: B
Question: A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
Choices:
1000
8289
2889
2132
Answer: A
Question: n^(n/2)=6 is true when n=6 in the same way what is the value of n if n^(n/2) =10?
Choices:
12
10
16
18
Answer: B
Question: If y is the average of x odd consecutive integers and |z - 6/4| = 1/2, which of the following MUST be true?
I. xy(z + 1) is even.
II. x(z + y) is even.
III. (x^2 - x)yz is even.
Choices:
III only
I and II
II and III
I, II, and III
Answer: A
Question: A circular path of 13 m radius has marginal walk 2 m wide all round it. Find the cost of leveling the walk at 25p per m2?
Choices:
Rs.78
Rs.44
Rs.40
Rs.42
Answer: B
Question: 3 OUT OF 1000 PARTS OF EARTH IS SULPHUR. WHAT IS THE PERCENTAGE OF SULPHUR IN EARTH
Choices:
2/9
1/45
2/7
NONE OF THESE
Answer: C
Question: A and B’s salaries together amount to Rs. 2,000. A spends 95% of his salary and B spends 85% of his. If now their savings are the same, what is A’s salary?
Choices:
7282
7298
1500
1576
Answer: C
Question: The parameter of a square is equal to the perimeter of a rectangle of length 20 cm and breadth 16 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)?
Choices:
28.28CM
26.45CM
20.18CM
32.14CM
Answer: A
Question: The ratio of red, yellow, and green jelly beans in a jar is 2:3:4. If the number of jelly beans is increased by 50%, 40%, and 30% respectively, what will be the new ratio?
Choices:
11:18:24
15:21:26
17:24:28
18:25:32
Answer: B
Question: If x is an integer, then x(x - 1)(x - k) should be evenly divisible by three when k is any of the following values EXCEPT
Choices:
4
-1
2
5
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 $1,560 ?
Choices:
$14
$24
$17
$18
Answer: B
Question: A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds.If the speed of the train is 15m/sec,what is the length of the train?
Choices:
200m
300m
240
None
Answer: C
Question: How many seconds will a 100 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:
6
8
12
1
Answer: A
Question: A cricket bat is sold for $900, making a profit of $300. The profit percentage would be
Choices:
25%
30%
50%
40%
Answer: C
Question: How many plants will be there in a circular bed whose outer edge measure 30 cms, allowing 4 cm2 for each plant ?
Choices:
18
24
120
None of these
Answer: A
Question: Excluding stoppages, the speed of a train is 45 kmph and including stoppages it is 36 kmph. Of how many minutes does the train stop per hour?
Choices:
12 min
11 min
10 min
17 min
Answer: A
Question: A random number is picked following which, five guesses are to be made in order to find the correct number. All the guessed numbers are noted down in a paper. On another paper, all the differences between the guessed numbers and the picked numbers are written down by subtracting the smaller one from the bigger one.
Now, one number each is erased from both of the papers. As a result, four numbers remain on each paper:
Guesses: 27, 32, 44, 45
Differences: 5, 7, 10, 13
If this is all the information you need, can you find out what number was picked?
Choices:
37
55
79
83
Answer: A
Question: A train moves fast a telegraph post and a bridge 264 m long in 8 sec and 20 sec respectively. What is the speed of the train?
Choices:
70 km/hr
79 km/hr
79.2 km/hr
62.2 km/hr
Answer: C
Question: A train passes a man standing on the platform. If the train is 180 meters long and its speed is 108 kmph, how much time it took in doing so?
Choices:
5 sec
6 sec
1 sec
9 sec
Answer: B
Question: During a sale of 20% on everything in a store, a kid is successful in convincing the store manager to give him 40 candies for the discounted price of 14 candies. The store still makes a profit of 12% on this sale. What is the mark up percentage on each candy?
Choices:
80%
75%
66+2/3%
55%
Answer: D
Question: he average weight of 6 persons increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person ?
Choices:
55 kg
45 kg
80 kg
25 kg
Answer: C
Question: P and Q had the same number of candies. P gave Q 20 candies so that now Q has five times as many candies as P has. How many candies does Q have now?
Choices:
50
60
65
70
Answer: A
Question: What will be the compound interest on Rs. 50000 after 3 years at the rate of 12 % per annum
Choices:
Rs 20246.4
Rs 20123.40
Rs 20123.50
None of these
Answer: A
Question: A large research project was scheduled over the course of a 30-month period, and a budget of $90,000 was allotted for the course of the entire project. After seven months, the project had spent $20,000. Was the project at this point over budget or under budget, and by how much?
Choices:
under, $1200
under, $1000
over $1800
over $5800
Answer: B
Question: The perimeter of a triangle is 28 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
Choices:
26 cm2
20 cm2
86 cm2
35 cm2
Answer: D
Question: If n is a 25-digit positive integer, all of whose digits are the same, which of the following must be true?
I. n is divisible by 5
II. n is divisible by 10
III. n is divisible by 25
Choices:
I and II only
I and III only
II and III only
I, II and III only
Answer: D
Question: Enrollment in City College in 1980 was 25 percent of enrollment in 1990. What was the percent increase in the college’s enrollment from 1980 to 1990?
Choices:
300 %
200%
250%
183 1/3%
Answer: A
Question: 8!/(8-2)!=?
Choices:
46
56
66
96
Answer: B
Question: A cistern has three pipes, A, B and C. The pipes A and B can fill it in 4 and 5 hours respectively and C can empty it in 2 hours. If the pipes are opened in order at 1, 2 and 3 A.M. When will the cistern be empty?
Choices:
7 PM
8 PM
5 PM
9 PM
Answer: C
Question: Bob wants to run a mile in the same time as his sister. If Bob’s time for a mile is currently 10 minutes and his sister’s time is currently 9 minutes by what percent does Bob need to improve his time in order run a mile in the same time as his sister?
Choices:
5%
8%
10%
12%
Answer: C
Question: A jogger running at 9 km/hr along side a railway track is 120 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
Choices:
20
36
24
34
Answer: C
Question: Three students shared a group project, jack claimed that he do the project by himself in 20 hours, and Jane in 30 hours. Jack started working on the project for 10 hours, then Jane continued working on it another 10 hours. Lastly, Julie joined the team and working 10 hours, the project was completed. How many hours it takes Julie to finish the project by herself?
Choices:
60 hours
50 hours
40 hours
30 hours
Answer: A
Question: What is the maximum number of pieces that a circular pie can be divided into by four linear cuts?
Choices:
8
9
10
11
Answer: D
Question: What is 15 percent of Rs. 34 ?
Choices:
Rs. 3.75
Rs. 4.50
Rs. 5.10
None
Answer: C
Question: From a certain number of people who attended an interview, x people were selected. If instead, x+2 are selected, the number of possible selections would be the same. Which of the following cannot be the value of x if at least 2 interviews were conducted everyday and the interviews were completed in 4 days?
Choices:
2
6
8
Cannot be determined
Answer: A
Question: A shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 40% while buying and by 10% while selling. What is his percentage profit?
Choices:
20.22%
21.22%
40%
Can't be calculated
Answer: C
Question: Let A be the event that a randomly selected two digit number is divisible by 3 and let B be the event that a randomly selected two digit number is divisible by 2. What is P(A and B)?
Choices:
1/6
1/5
1/3
1/2
Answer: A
Question: The expression 10^14−110 is divisible by all of the following integers EXCEPT
Choices:
3
4
7
11
Answer: C
Question: Tom drives from town Q to town B, driving at a constant speed of 60 miles per hour. From town B Tom immediately continues to town C. The distance between Q and B is twice the distance between B and C. If the average speed of the whole journey was 36 mph, then what is Tom's speed driving from B to C in miles per hour?
Choices:
20
24
30
36
Answer: A
Question: When N is divided by 10 the remainder is 1 and when N is divided by 3 the remainder is 2. What is the remainder X when N is divided by 30?
Choices:
(b) 7
(c) 11
(d) 13
(e) 17
Answer: B
Question: Set Q includes elements {8, 2, 11, x, 3, y} and has a mean of 7 and a median of 5.5. If x < y, then which of the following is the maximum possible value of x?
Choices:
1
2
3
4
Answer: C
Question: In how many ways a committee, Consisting of 4 men and 5 women can be formed from 8 men and 10 women?
Choices:
3360
11760
17640
17200
Answer: C
Question: A man takes twice as long to row a distance against the stream as to row the same distance in favour
of the stream. The ratio of the speed of the boat in still water and stream is
Choices:
3:1
2:4
4:2
None of these
Answer: A
Question: 24 people can write 48 book in 6 days working 8 hour a day.then in how many day 192 can be written by 50 people?
Choices:
288/27
309/22
288/26
288/25
Answer: D
Question: Eight kilograms of rice costing Rs. 16 per kg is mixed with four kilograms of rice costing Rs. 22 per kg. What is the average price of the mixture?
Choices:
18
16
19
17
Answer: A
Question: If x and y are nonzero integers and 450x = 120y then which of the following must be an integer?
I. xy/60
II. 15x/4y
III. 4x/15y
Choices:
II only
I and III
I and II
I, II, and III
Answer: C
Question: A and B enter into a partnership with respective capitals of Rs. 20,000 and Rs. 40,000. At the end of the year, the total profit is Rs. 33,000. If A receives Rs. 15,000 as both his salary and profit, then what is his salary?
Choices:
Rs. 4000
Rs. 4002
Rs. 4003
Rs. 4001
Answer: A
Question: How many even integers from 1 to 50 (both inclusive) have even number of factors?
Choices:
3
5
6
7
Answer: A
Question: Two cars start at the same time from opposite ends of a highway that is 60 miles long. One car is riding at 13 mph and the second car is riding at 17 mph. How long after they begin will they meet?
Choices:
1
1.25
1.5
2.0
Answer: D
Question: How many Q ways can Jason sit with his five friends in a row of six seats with an aisle on either side of the row, if Jason insists on sitting next to one of the aisles?
Choices:
240
360
540
720
Answer: A
Question: Solve for x and check: - 200x = 1600
Choices:
2573
1600
2950
None of these
Answer: B
Question: Albert invested amount of 16000 in a fixed deposit for 2 years at compound interest rate of 5 % per annum. How much Albert will get on the maturity of the fixed deposit
Choices:
Rs. 17640
Rs. 8730
Rs. 8820
None of these
Answer: A
Question: If x, y, and z are consecutive odd integers, with x < y < z, then which of the following must be true?
I. y + z is odd
II. (x+z)/y is an integer
III. xz is not an integer
Choices:
II only
III only
II and III only
I, II, and III
Answer: C
Question: A train 110 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
Choices:
6 sec
3 sec
2 sec
9 sec
Answer: A
Question: Set A: {1, 3, 4, 6, 9, 12, 15,18}
If three numbers are randomly selected from set A without replacement, what is the probability that the sum of the three numbers is divisible by 3?
Choices:
2/7
5/14
5/7
11/14
Answer: B
Question: A train running at 25 km/hr takes 30 seconds to pass a platform. Next, it takes 12 seconds to pass a man walking at 5 km/hr in the same direction. Find the length of the train and that of the platform.
Choices:
b) 60m130m
c) 50m45m
d) 100/3 m200/3
e) none of these
Answer: A
Question: The sum of money at compound interest amounts to thrice itself in 3 years. In how many years will it be 9 times itself?
Choices:
9 years
2 years
6 years
3 years
Answer: C
Question: If (m-8) is a factor of m^2-pm-24, then p=
Choices:
5
6
11
16
Answer: A
Question: A can give B 100 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?
Choices:
111.12 m
111.82 m
121.12 m
111.11m
Answer: A
Question: The number of people who moved to live in a small town per 200 persons is 10.5. if the number of person who leave the town per 200 persons is 5.5 how long will it take for the population of 1000 people to double.
Choices:
30
40
10
2
Answer: B
Question: If the number 892,132,26x is divisible by 11, what must be the value of x?
Choices:
2
3
4
5
Answer: B
Question: On a certain day, orangeade was made by mixing a certain amount of orange juice with an equal amount of water. On the next day, orangeade was made by mixing the same amount of orange juice with twice the amount of water. On both days, all the orangeade that was made was sold. If the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $0.50 per glass on the first day, what was the price per glass on the second day?
Choices:
$0.20
$0.33
$0.40
$0.45
Answer: B
Question: The total age of A and B is 12 years more than the total age of B and C. C is how many year younger than A?
Choices:
11
12
13
15
Answer: B
Question: There are two inlets and one outlet to a cistern. One of the inlets takes 4 hours to fill up the cistern and the other inlet takes twice as much time to fill up the same cistern. Both of the inlets are turned on at 8:30 AM with the cistern completely empty, and at 10:30AM, the outlet is turned on and it takes 1 more hour to fill the cistern completely. How much time does the outlet working alone takes to empty the cistern when the cistern is full?
Choices:
2.5 hours
3 hours
3.5 hours
8 hours
Answer: D
Question: The present average age of a family of five members is 26 years. If the present age of the youngest member in the family is ten years, then what was the average age of the family at the time of the birth of the youngest member ? (Assume no death occurred in the family since the birth of the youngest)
Choices:
76 years
20 years
15 years
19 years
Answer: B
Question: The Lucknow-Indore Express without its rake can go 24 km an hour, and the speed is diminished by a quantity that varies as the square root of the number of wagon attached. If it is known that with four wagons its speed is 20 km/h, the greatest number of wagons with which the engine can just move is
Choices:
140
143
124
142
Answer: B
Question: A circular dashboard of radius 1.0 foot is at a distance of 20 feet from you. You throw a dart at it and it hits the dartboard at some point Q in the circle. What is the probability that Q is closer to the center of the circle than the periphery?
Choices:
0.75
0.25
0.5
1.25
Answer: B
Question: A high school has 360 students 1/2 attend the arithmetic club, 5/8 attend the biology club and 3/4 attend the chemistry club. 3/8 attend all 3 clubs. If every student attends at least one club how many students attend exactly 2 clubs.
Choices:
45
35
50
55
Answer: A
Question: Calculate how long it will take a swimmer to swim a distance of 10km against the current of a river which flows at 3km/hr, given that he can swim in still water at 5km/h
Choices:
4
5
6
7
Answer: B
Question: Out of a group of 10 contestants, 2 are to be selected at random. What is the maximum number of male contestants possible if the probability that both selected contestants are male is less than 50% ?
Choices:
1.46
2
1.34
4
Answer: C
Question: A semicircle has a radius of 20. What is the approximate perimeter of the semicircle?
Choices:
25
86
75
102
Answer: D
Question: The average of 10 consecutive integers is 16. Then, 9 is deducted from the first consecutive number, 8 is deducted from the second, 7 is deducted form the third, and so on until the last number which remains unchanged. What is the new average?
Choices:
11
11.5
12
12.5
Answer: B
Question: If the wheel is 14 cm then the number of revolutions to cover a distance of 1320 cm is?
Choices:
A)15
C)14
D)12
E)11
Answer: A
Question: A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined them after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed amount A, B and C
Choices:
6:10:5
6:10:7
6:7:5
None of these
Answer: A
Question: Roja and Pooja start moving in the opposite directions from a pole. They are moving at the speeds of 2 km/hr and 3 km/hr respectively. After 4 hours what will be the distance between them?
Choices:
20 km
24 km
4 km
None of these
Answer: A
Question: A train overtakes two persons walking along a railway track. The first person walks at 4.5 km/hr and the other walks at 5.4 km/hr. The train needs 8.4 and 8.5 seconds respectively to overtake them. What is the speed of the train if both the persons are walking in the same direction as the train?
Choices:
81 km/hr
90 km/hr
99 km/hr
45 km/hr
Answer: A
Question: in a scheme, a pack of three soaps with mrp rs45 is available for rs42. if it still gives a profit of 5% to the shopkeeper,then the cost price of the pack is:
Choices:
rs40
rs41
rs35
rs45
Answer: A
Question: A pet store holds cats and dogs. If the difference between the number of cats and the number of dogs is 11. What could be the ratio of Cats to dogs in the pet store?
Choices:
1:4
1:5
44:55
4:6
Answer: C
Question: The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 7 minutes, then the area of the park (in sq. m) is
Choices:
153400
153600
154000
117600
Answer: D
Question: If 2/z = 2/(z + 1) + 2/(z + 49) which of these integers could be the value of z?
Choices:
1
2
5
7
Answer: D
Question: A man can row upstream at 4km/hr and down stream at 10km/hr find mans rate in still water ?
Choices:
5km/hr
5.5km/hr
6km/hr
7km/hr
Answer: D
Question: If (x × 10^q) – (y × 10^r) = 10^r, where q, r, x, and y are positive integers and q > r, then what is the units digit of y?
Choices:
1
5
7
9
Answer: D
Question: The present worth of a certain bill due sometime hence is Rs. 1296 and the true discount is Rs. 72. What is the banker's discount?
Choices:
Rs. 76
Rs. 74
Rs. 4
None of these
Answer: A
Question: If log 2 = 0.3010 and log 3 = 0.4771, the value of log5 512 is:
Choices:
2.967
3.876
3.912
3.7
Answer: B
Question: If P gets 25% more than Q, then by what percent does Q get less than P?
Choices:
30%
20%
16 2/3%
None of these
Answer: B
Question: A train 240 m in length crosses a telegraph post in 16 seconds. The speed of the train is?
Choices:
28 kmph
54 kmph
37 kmph
27 kmph
Answer: B
Question: When 28 is divided by the positive integer q, the remainder is 1. What is the sum of all the possible values of q for which this is true?
Choices:
3
9
30
39
Answer: D
Question: 45 workers work 8 hours to dig a hole 30 meters deep. How many extra workers should be hired to dig another hole 30 meters deep by working for 6 hours?
Choices:
15
20
25
30
Answer: A
Question: Beth got a job painting dorm rooms at her
college. At top speed, she could paint 5
identical rooms during one 6-hour shift.
How long did she take to paint each room?
Choices:
1 hour and 10 minutes
1 hour and 12 minutes
1 hour and 15 minutes
1 hour and 20 minutes
Answer: B
Question: If 5 + 7/X = 6 - 5/X, then X =
Choices:
14
12
6/7
5
Answer: B
Question: Rs.1500 is divided into two parts such that if one part is invested at 6% and the other at 5% the whole annual interest from both the sum is Rs.86. How much was lent at 5%?
Choices:
2998
277
500
400
Answer: D
Question: In how many ways can 7 boys and 2 girls be arranged a ta table if 2 girls are never together?
Choices:
30240
32410
32540
36540
Answer: A
Question: Look at this series: 7.2, 7, 6.8, 6.6, ... What number should come next?
Choices:
6.4
5.8
6.3
5.6
Answer: A
Question: In one hour, a boat goes 11 km/hr along the stream and 5 km/hr against the stream. The speed of the boat in still water (in km/hr) is:
Choices:
5 kmph
6 kmph
7 kmph
8 kmph
Answer: D
Question: A three-digit code for certain locks uses the digits 0, 1, 2, 3, 4, 5, 6 according to the following constraints. The first digit cannot be 0 or 1, the second digit must be 0 or 1, and the second and third digits cannot both be 0 in the same code. How many different codes are possible?
Choices:
152
160
168
65
Answer: D
Question: A, B and C rents a pasture for Rs.870. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should C pay?
Choices:
270
276
299
211
Answer: A
Question: Difficulty:
There are five sales agents in a certain real estate office. One month Andy sold thrice as many properties as Ellen, Bob sold 3 more than Ellen, Cary sold thrice as many as Bob, and Dora sold as many as Bob and Ellen together. Who sold the most properties that month?
Choices:
Bob
Cary
Dora
Ellen
Answer: B
Question: In how many ways Chief Minister and Minister be elected from a team of 14 members?
Choices:
182
132
143
145
Answer: A
Question: Insert the missing number.
8, 7, 16, 5, 24, 3, 32, 1, 40,-1, (....)
Choices:
48
35
-3
-4
Answer: A
Question: The sum of 99 consecutive integers is 9999. What is the greatest integer in the set?
Choices:
120
149
150
151
Answer: C
Question: Roses can be purchased individually for $4.50, one dozen for $36, or two dozen for $50. What is the greatest number of roses that can be purchased for $680?
Choices:
162
318
324
325
Answer: B
Question: If a 19-cup mixture of powder and water contained 1 cup of powder. How many cups of powder must be added to get a mixture having powder and water in the ratio of 1:2?
Choices:
8
17
19
24
Answer: C
Question: Pipe B that can fill a tank in an hour and pipe A that can fill the tank in half an hour are opened simultaneously when the tank is empty. Pipe A is shut 15 minutes before the tank overflows. When will the tank overflow?
Choices:
35 mins
40 mins
30 mins
36 mins
Answer: C
Question: A vessel of capacity 2 litre has 20% of alcohol and another vessel of capacity 6 litre had 55% alcohol. The total liquid of 8 litre was poured out in a vessel of capacity 10 litre and thus the rest part of the vessel was filled with the water. What is the new concentration of Mixture?
Choices:
37%.
49%.
29%.
51%.
Answer: A
Question: In a barrel of juice there is 20 liters; in a barrel of beer there are 80 liters. If the price ratio between barrels of juice to a barrel of beer is 3:4, what is the price ratio between one liter of juice and one liter of beer?
Choices:
2:1.
3:1.
4:3.
3:4.
Answer: B
Question: By selling a bat for Rs.720/- a man loses 10% what is that bat cost price
Choices:
Rs.630/-
Rs.700/-
Rs.780/-
Rs.800/-
Answer: D
Question: If a/x = 1/2 and a/y =1/ 4, then (x + y) =
Choices:
B)a/2
C)6a
D)7a
E)9a
Answer: B
Question: Each of the cucumbers in 100 pounds of cucumbers is composed of 99% water, by weight. After some of the water evaporates, the cucumbers are now 96% water by weight. What is the new weight of the cucumbers, in pounds?
Choices:
25
92
96
98
Answer: A
Question: If the annual increase in the population of a town is 10% and the present number of people is 10000, what will the population be in 2 years?
Choices:
12100
12456
11452
10002
Answer: A
Question: In a mixture of 60 liters, the ratio of milk and water is 2:1. What amount of water must be added to make the ratio of milk and water as 1:2?
Choices:
30 liters
60 liters
38 liters
40 liters
Answer: B
Question: A sum of money deposited at C.I. amounts to Rs.2420 in 2 years and to Rs.2662 in 3 years. Find the rate percent?
Choices:
10%
60%
70%
30%
Answer: A
Question: In a fuel station the service costs $1.50 per car, every liter of fuel costs 0.35$. Assuming that you own 3 limos and 2 fleet vans and all fuel tanks are empty. How much will it cost to fuel all cars together if a limo tank is 32 liters and an fleet van tank is 75% bigger?
Choices:
$78.80
$78.90
$79.90
$77.80
Answer: A