antoine-444/aqua_rat_dataset huggingface dataset:
Question: A metered rikshaw charges Rs 13.50 for the first 1 Km and 2.50 per 1/3 km there after. What would the charge if this rikshaw is hired for 13 Kms? In approx??
Choices:
103.5 Rs
105.5 Rs
106.5 Rs
107.5 Rs
Answer: A
Question: If after 200 grams of water were added to the 24%-solution of alcohol, the strength of the solution decreased by one-third, how much of the 24%-solution was used?
Choices:
220 grams
250 grams
350 grams
400 grams
Answer: D
Question: In a group of600 readers who read science fiction or literacy works or both, 200 read science fiction and 230 read literacy works. How many read both science fiction and literacy works?
Choices:
30
25
100
110
Answer: A
Question: Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother 5 years younger to her was born. What is the difference between the ages of her parents?
Choices:
4 years
6 years
7 years
8 years
Answer: C
Question: A family travelled for 12 hours. They covered the first half of the distance at 35 kmph and remaining half of the distance at 40 kmph. Find the distance travelled by the family?
Choices:
890 km
684 km
320 km
560 km
Answer: D
Question: In a 100 m race, A runs at 8km per hour. If A gives B a start of 8 m and still him by 15 seconds, what is the speed of B ?
Choices:
5.52 km/hr.
5.76 km/hr.
6.76 km/hr.
5.72 km/hr.
Answer: A
Question: ABCD is a square where AB =âˆš4032. Let X be a point on AB and Y be a point on CD such that AX = CY . Compute the area of trapezoid AXYD.
Choices:
2002
1008
2016
3000
Answer: C
Question: A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 800 m long?
Choices:
190 Sec
178 Sec
267 Sec
200 Sec
Answer: D
Question: The price of a cycle is reduced by 25 per cent. The new price is reduced by a further 30 per cent. The two reductions together are equal to a single reduction of
Choices:
47.5%
35%
32.5%
30%
Answer: A
Question: A and B finish the job in 15 days.while A,B and C can finish it in 3 days . C alone will finish the job in
Choices:
3.75 days
6.50 days
7.50 days
5.50 days
Answer: A
Question: A project manager needs to select a group of 4 people from a total of 4 men and 4 women. How many possible group combinations exist such that no group has all men or all women?
Choices:
68
74
82
48
Answer: A
Question: If the ratio of the roots of the equation 2x2-6x+q=0 is equal to that of the roots 3x2-6x+s=0, then:
Choices:
s=q
2q=s
4s-q
None
Answer: A
Question: a, b, c are integers. |a| ≠ |b| ≠ |c| and -10 ≤ a, b, c ≤ 10. What will be the maximum possible value of [abc – (a+b+c)]?
Choices:
693
731 is answer
970
None of the above
Answer: B
Question: A circular box kept around a circular place. If the difference between the circumference of the outer circle and the inner circle is 44m, find the width of the box?
Choices:
3 m
4 m
7 m
8 m
Answer: C
Question: A certain telephone company offers two plans, A and B. Under plan A, the company charges a total of $0.60 for the first 8 minutes of each call and $0.06 per minute thereafter. Under plan B, the company charges $0.08 per minute of each call. What is the duration of a call, in minutes, for which the company charges the same amount under plan A and under plan B?
Choices:
9
6
21
30
Answer: B
Question: A man has about 4 children and 16 apples.He cuts the apple into quarter pieces and distribute them among the Children.One of the children eats one apple and returns remaining to the father.The father now distribute it among remaining.How many pieces does each of remaining child have?
Choices:
25
20
36
30
Answer: B
Question: If Q= x^4 + y^4 = 100, then the greatest possible value of x is between
Choices:
3 and 6
6 and 9
9 and 12
12 and 15
Answer: A
Question: A mixture of 150 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture?
Choices:
10 liters.
10 liters.
16 liters.
15 liters.
Answer: B
Question: 2ab5 is a four digit number divisible by 25. If a number formed from the two digits ab is a multiple of 13, then ab is
Choices:
52
20
26
201
Answer: A
Question: Find the value for m?
19(m + n) + 17 = 19(-m + n) - 173
Choices:
0
-5
2
3
Answer: A
Question: A water tank has three taps A, B and C. Tap A, when opened,can fill the water tank alone in 4 hours. Tap B, when opened, can fill the water tank alone in 6 hours and tap C, when opened, can empty the water tank alone in 3 hours. If taps A, B and C are opened simultaneously, how long will it take to fill the tank completely?
Choices:
8 hours
18 hours
12 hours
None of these
Answer: C
Question: Martha has 3 dogs and 4 cats. She takes each animal separately for a daily walk. She can take the animals for a walk to the park or to the barber shop. How many different options for a walk with a single animal does Martha have?
Choices:
9
10
14
20
Answer: C
Question: On simplification, 3500 – (1000 ÷ 20.50) is equal to :
Choices:
3451.21
3451.223
3451.28
3441.29
Answer: A
Question: The average age of 20 men in the class is 17.6 years. Five new men join and the new average becomes 15.56 years. What was the average age of five new men?
Choices:
7.4
15.25
15.3
15.6
Answer: A
Question: The average age of three boys is 25 years and their ages are in proportion 3:5:7. What is the age in years of the youngest boy?
Choices:
9
6
4
15
Answer: D
Question: A train covers a distance of 100km in 1 hour. If its speed is decreased by 25km/hr, the time taken by the car to cover the same distance will be?
Choices:
1hr 20min
50min
1hr 30min
1hr 45min
Answer: A
Question: Danny drove his old car 100 kilometers, from his home to a friend. To prevent the engine from overheating, he stopped his car for 12 minutes every time he completed 40 kilometers of continuous driving. When the car was moving, Danny drove it at an average speed of 60 kilometers per hour. What was Danny's average speed on that trip?
Choices:
48.4 kilometers per hour
50 kilometers per hour
75 kilometers per hour
100 kilometers per hour
Answer: A
Question: November 2, 1962, fell on a Friday. On which day of the week did November 2, 1985, fall? (Note: 1964 was a leap year and every succeeding fourth year were leap years.)
Choices:
Tuesday
Thursday
Friday
Saturday
Answer: D
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
5625
1090
1829
Answer: A
Question: The average height of 30 students in a class was calculated as 177 cm. It has later found that the height of one of the students in the class was incorrectly written as 151 cm whereas the actual height was 106 cm. What was the actual average height of the students in the class?
Choices:
175.5 cm
174.5 cm
173.5 cm
172.5 cm
Answer: A
Question: A, B and C can do a work in 7 , 14 and 21 days respectively. They completed the work and got $242. What is the share of C?
Choices:
$48
$44
$49
$40
Answer: B
Question: How many cubes of 2cm edge can be cut out of a cube of 24cm edge
Choices:
1728
1216
1484
None of these
Answer: A
Question: Working together at their respective constant rates, Machine A and Machine B can produce 1,800 units in 8 hours. Working alone, Machine B would complete that same output in 50% more time. If Machine A were to work on its own for an 8-hour shift, what percent of the 1,800 unit total would it produce?
Choices:
33
30
67
75
Answer: B
Question: Set A: {1, 3, 4, 6, 9, 12, 15}
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 2?
Choices:
2/7
9/14
5/7
1/35
Answer: D
Question: A rectangular floor is covered by a rug except fo a strip p meters along each of the four edges. If the floor is m meters by f meteres, What is the area of the rug in square meters?
Choices:
mn – 2p(m+n)
mn – p^2
(m - p)(n - p)
(m - 2p)(f - 2p)
Answer: D
Question: A couple who own an appliance store discover that if they advertise a sales discount of 10% on every item in the store, at the end of one month the number of total items sold increases 10%. Their gross income from sales for one month decreases by what percent?
Choices:
1%
5%
7%
9%
Answer: A
Question: If 5 men and 2 boys working together, can do four times as much work per hour as a man and a boy together. Find the ratio of the work done by a man and that of a boy for a given time?
Choices:
2:3
2:8
2:1
2:2
Answer: C
Question: A train 100 meters long completely crosses a 300 meters long bridge in 30 seconds. What is the speed of the train is?
Choices:
48 kmph
34 kmph
43 kmph
40 kmph
Answer: A
Question: In how many different ways can the letters of the word ‘ARMOUM’ be arranged?
Choices:
210
220
250
360
Answer: D
Question: The set S has 36 different subsets each of which contains exactly two elements. How many subsets of S could contain exactly three elements each?
Choices:
42
54
72
84
Answer: D
Question: In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?
Choices:
720
120
6
64
Answer: A
Question: Find the number of ways in which four men, two women and a child can sit at a table if the child is seated between two women.
Choices:
24
36
48
60
Answer: C
Question: P and Q started a business investing Rs. 54,000 and Rs. 18,000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively?
Choices:
3:1
5:4
6:5
17:4
Answer: A
Question: The sum of the two numbers is 13 and their product is 35. What is the sum of the reciprocals of these numbers?
Choices:
13/35
35/8
7/32
None of these
Answer: A
Question: Three numbers are in the ratio 3 : 4 : 8. The sum of its longest and smallest numbers equals the sum of the third number and 42. Find the third number?
Choices:
B)75
C)24
D)46
E)63
Answer: B
Question: Tough and Tricky questions: Distance/Rate.
On a reconnaissance mission, a state-of-the-art nuclear powered submarine traveled 500 miles to reposition itself in the proximity of an aircraft carrier. This journey would have taken 2.5 hour less if the submarine had traveled 10 miles per hour faster. What was the average speed, in miles per hour, for the actual journey?
Choices:
40
60
80
100
Answer: A
Question: When n is divided by 48, the remainder is 6. What is the remainder when 4n is divided by 8?
Choices:
0
2
3
4
Answer: A
Question: Each side of a certain parallelogram has length 6. If the area of the parallelogram is 24. Which of the following is the measure of one of its angles?
Choices:
42
60
90
120
Answer: A
Question: In a Quiz the points in each round for the first,second,third and fourth position were 100,50,20,10 . No other points were given. Rachel participated in several rounds in the competition and the product of her score was 10000. In How many rounds did she participate?
Choices:
Cannot be determined
4
6
10
Answer: A
Question: How many integers less than 100 have exactly 4 odd factors but no even factors?
Choices:
13
15
17
19
Answer: C
Question: A fort had provision of food for 150 men for 45 days. After 10 days, 50 men left the fort. The number of days for which the remaining food will last, is:
Choices:
37 1/4
42
5 1/4
48
Answer: C
Question: If q = 20! + 17, then q is divisible by which of the following?
I. 15
II. 17
III. 19
Choices:
I only
II only
I and II
II and II
Answer: B
Question: The average marks scored by Ganesh in English, Science, Mathematics and History is less than 15 from that scored by him in English, History, Geography and Mathematics. What is the difference of marks in Science and Geography scored by him?
Choices:
50
60
Data inadequate
None of these
Answer: B
Question: When m is divided by 9, the remainder is 2. When m is divided by 13, the remainder is 4. If 1 < m < 200, what is the greatest possible value of m?
Choices:
65
103
117
173
Answer: D
Question: For any positive integer n, the sum of the first n positive integers equals n(n+1)/2. What is the sum m of all the even integers between 99 and 301?
Choices:
20,200
22,650
40,200
45,150
Answer: A
Question: A computer can perform x calculations in s seconds. How many minutes will it take the computer to perform k calculations?
Choices:
ks/x
ks/60x
60x/ks
k/60xs
Answer: B
Question: If 5% more is gained by selling an article for Rs. 350 than by selling it for Rs. 348, the cost of the article is
Choices:
231
200
40
111
Answer: C
Question: Ravi can do a piece of work in 30 days while Prakash can do it in 40 days. In how many days will they finish it together?
Choices:
17 1/7 days
6 days
9 days
10 days
Answer: A
Question: Solve below question 2x - 1 = 17
Choices:
-9
-5
-4
9
Answer: D
Question: Car Dealership X, the total profit from sales increased by 15 percent over the previous years, while the number of cars sold decreased by 15 percent over the previous years. Approximately what was the average percent increase in profit per car over the previous year.
Choices:
20%
22%
35.29%
55%
Answer: C
Question: Audrey 4 hours to complete a certain job. Ferris can do the same job in 3hours. Audrey and Ferris decided to collaborate on the job, working at their respective rates. While Audrey worked continuously, Ferris took 5 breaks of equal length. If the two completed the job together in 2 hours, how many minutes long was each of Ferris’ breaks ?
Choices:
6
15
20
25
Answer: A
Question: In a G6 summit held at london. A french, a german, an italian, a british, a spanish, a polish diplomat represent their respective countries. (i) Polish sits immediately next to british (ii) German sits immediately next to italian, British or both (iii) French does not sit immediately next to italian (iv) If spanish sits immediately next to polish, spanish does not sit immediately next to Italian Which of the following does not violate the stated conditions?
Choices:
UDFHD
DKJHIU
FSPBGI
OIHDSD
Answer: C
Question: A is thrice as good as B. A is able to finish a job in 60 days less than B.Theycan finish the work in how many days if they work together.
Choices:
21 ½ days
22 days
22 ½ days
23 ½ days
Answer: C
Question: If
1 = 6 ,
2 = 12 ,
3 = 18,
4 = 24,
5 = 30,
Then 6 = ?
Choices:
3
1
7
9
Answer: B
Question: On average, the bottle-nosed dolphin comes up for air once every three minutes; the beluga whale, a close relative, comes up for air on average once every six minutes. The number of times a bottle-nosed dolphin would come up for air in a 24 hour period is approximately what percent greater than the number of times a beluga whale would come up for air in that same period?
Choices:
50%
75%
100%
150%
Answer: D
Question: There are 8 cars parked in the lot 5 red and 3 blue, James threw two stone at the cars and three of the cars were hit, what is the probability that a stone did not hit any red car provided each stone hit one different car?.
Choices:
2/5
5/28
3/5
3/28
Answer: D
Question: The cost price of a radio is Rs.1590 and it was sold for Rs.1450, find the loss %?
Choices:
8%
10%
14%
21
Answer: A
Question: A sum of money at simple interest amounts to Rs. 824 in 3 years and to Rs. 854 in 4 years. The sum is:
Choices:
698
780
910
725
Answer: D
Question: A driver covers a certain distance by car driving at 60 km/hr and returns back to the starting point riding on a scooter at 15 km/hr. What was the average speed for the whole journey?
Choices:
22 km/h
24 km/h
26 km/h
28 km/h
Answer: B
Question: In a class of 250 students, on JAN 2 15% of the girls and 10% of the boys are absent. If on 100% attendance there are 10 boys. Find the percentage present?
Choices:
82.2%
84.2%
85.2%
86.2%
Answer: C
Question: Calculate 469158 x 9999 = ?
Choices:
4686970743
4691100843
4586870843
4691110842
Answer: D
Question: If two typists can type two pages in two minutes, how many typists will it take to type 25 pages in five minutes?
Choices:
4
10
12
36
Answer: B
Question: A restaurant meal cost $32.50 and there was no tax. If the tip was more than 10 percent but less than 15 percent of the cost of the meal, then the total amount paid must have been between
Choices:
$39 and $41
$38 and $40
$36 and $38
$36 and $37
Answer: C
Question: Tap 'A' can fill the tank completely in 4 hrs while tap 'B' can empty it by 8 hrs. By mistake, the person forgot to close the tap 'B', As a result, both the tapes, remained open. After 4 hrs, the person realized the mistake and immediately closed the tap 'B'. In how much time now onward, would the tank be full?
Choices:
2
1/2
1/4
5
Answer: A
Question: A parking garage rents parking spaces for $10 per week or $40 per month. How much does a person save in a year by renting by the month rather than by the week?
Choices:
$40
$220
$240
$260
Answer: A
Question: How many four digit even numbers can be formed using the digits {2, 3, 5, 1, 7, 9}
Choices:
67
25
27
60
Answer: D
Question: A man has Rs.10350 in the form of Rs.50 notes and Rs.500 notes. The total number of notes are 36.Find the number of notes of Rs.50 denomination.
Choices:
21
17
19
21
Answer: B
Question: A bowl of fruit contains 10 apples and 23 oranges. How many oranges must be removed so that 50% of the pieces of fruit in the bowl will be apples?
Choices:
13
14
17
20
Answer: A
Question: The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along theoundary of the park at the speed of 12 km/hr completes one round in 8 min, then the area of the park (in sq. m) is?
Choices:
145600 m
153600 m
154354 m
156778 m
Answer: B
Question: 20 litres of mixture contains 20% alcohol and the rest water. If 3litres of water be mixed with it, the percentage of alcohol in the new mixture would be?
Choices:
23%
18.3%
19.75%
17.4%
Answer: D
Question: The average age of husband, wife and their child 3 years ago was 30 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is
Choices:
49 years
50 years
55 years
None
Answer: A
Question: Seven white balls and three black balls are randomly placed in a row. Find the probability that no two black balls are placed adjacently to each other.
Choices:
7/15
3/7
2/7
1/7
Answer: A
Question: A bag contains 50 P, 25 P and 10 P coins in the ratio 5: 9: 4, amounting to Rs. 206. Find the number of coins of each type respectively.
Choices:
160, 360, 200
200, 360,160
200,160,300
None of these
Answer: B
Question: A total of $20,000 was invested in two certificates of deposit at simple annual interest rates of 6 percent and 9 percent, respectively. If the total interest on the two certificates was $1,440 at the end of one year, what fractional part of the $20.000 was invested at the higher rate?
Choices:
11/20
1/2
3/5
3/4
Answer: A
Question: The average height of 35 boys in a class was calculated as 185cm. It has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm. Find the actual average height of the boys in the class (Round off your answer to two decimal places).?
Choices:
183.29 cm
978.29 cm
178.89 cm
176.29 cm
Answer: A
Question: How many numbers from 12 to 82 are exactly divisible by 6?
Choices:
7
9
11
12
Answer: C
Question: A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is:
Choices:
Rs. 690
Rs. 698
Rs. 700
Rs. 760
Answer: B
Question: 2/5 of the fish in an aquarium are red and 1/4 of the fish are brown. 3/4 of the red fish and 2/5 of the brown fish are male. If the rest of the fish in the aquarium are female, what is the probability that a fish randomly picked from the aquarium is male?
Choices:
1/4
2/5
3/10
7/20
Answer: B
Question: Jennifer had $30 to spend on herself. She spent 1/5 of the money on a sandwich, 1/6 for a ticket
to a museum, and 1/2 of it on a book. How much money does Jennifer have left over?
Choices:
$4
$5
$15
$0
Answer: A
Question: Last year’s receipts from the sale of greeting cards during the week before Mother’s Day totaled $146 million, which represented 8 percent of total greeting card sales for the year. Total greeting card sales for the year totaled how many million dollars?
Choices:
2,100
1,825
1,701
210
Answer: B
Question: Train R leaves New York at 7:00 am traveling to Boston at 80mph. Train B leaves Boston at 7:45 am traveling to New York at 70 mph on a parallel track. If the distance between New York and Boston is 210 miles, at what time will the two trains pass each other?
Choices:
8:45 am
9:00 am
9:30 am
Cannot be determined from the information given
Answer: A
Question: A company has 50 employees, of which 22 studied accounting, 15 studied finance and 14 studied marketing. Six employees have done just two courses and only one made ​​the three courses. How many employees have no training?
Choices:
A)7
C)10
D)11
E)26
Answer: A
Question: A car takes 6 hours to cover a distance of 270 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?
Choices:
50
40
70
30
Answer: D
Question: Calculate Renee's average score in an exam if she obtained the following marks 71, 57, 61, 80 and 88 out of 100 in different subjects.
Choices:
73.4
72.4
71.4
70.4
Answer: C
Question: how many different digit number are there which have digit 1,2,3,4,5,6,7,8, such that digit 1 appears exactly once ?
Choices:
4C1 * 7^3
4C1 * 7^4
4C1 * 7^5
4C1 * 7^6
Answer: A
Question: A 25 cm wide path is to be made around a circular garden having a diameter of 4 meters. Approximate area of the path is square meters is?
Choices:
3.34 sq m
2.98 sq m
2.98 sq m
8.29 sq m
Answer: A
Question: Williams works at a resort from the beginning of March to the end of September. During the month of August this past year, he made 10 times the average (arithmetic mean) of his monthly totals in tips for the other months. His total tips for August were what fraction of his total tips for all of the months he worked?
Choices:
5/8
6/8
2/9
1/7
Answer: A
Question: The product of three consecutive odd numbers is 9177. What is the sum of the
numbers?
Choices:
57
60
63
69
Answer: C
Question: In how many ways a team of 11 must be selected from 5 men and 11 women such that the team must comprise of not more than 3 men?
Choices:
2456
7887
2777
2911
Answer: A
Question: We can create number 100 by using all numbers, i.e.0123456789 and mathematical operators (+/-) in many ways.
Example
98 + 7 + 6 - 5 - 4 - 3 + 2 - 1 = 100
But if we add a condition that the use of the number 21 is the must. Then there are only a few solutions.
One of such solution is:
98 - 7 - 6 - 5 - 4 + 3 + 21 = 100
Can you tell any other solution?
Choices:
8 - 8 + 76 - 5 + 4 + 3 + 21 = 100
9 - 8 + 76 - 5 + 4 + 3 + 21 = 100
None of these
Cannot be determined
Answer: B
Question: The average age of a committee of 8 members is 40 years. A member aged 59 years
retired and his place was taken by another member aged 39 years . The average age of
present committee is;
Choices:
38 years
37.5 years
35 years
34 years
Answer: B
Question: In how many ways a committee consisting of 3 men and 2 women can be formed from 5 men and 3 women?
Choices:
A)30
C)20
D)18
E)21
Answer: A
Question: One man traveled a distance of 61 km in 9hrs. He traveled partly on footat 4 km/hr and partly on bicycle ta 9 km/hr. The distance traveled on foot is?
Choices:
14 km
16 km
20 km
21 km
Answer: B
Question: Each factor of 150 is inscribed on its own plastic ball, and all of the balls are placed in a jar. If a ball is randomly selected from the jar, what is the probability that the ball is inscribed with a multiple of 15?
Choices:
5/42
1/8
3/16
1/3
Answer: B
Question: The side of a square is increased by 10% then how much % does its area increases?
Choices:
21
50.75
42.75
52.75
Answer: A
Question: The average marks of a class of 30 students is 40 and that of another class of 50 students is 80. Find the average marks of all the students?
Choices:
52.9
52.1
52.3
65
Answer: D
Question: Anne traveled from City A to City B in 4 hours, and her speed was between 35 miles per hour and 50 miles per hour. John traveled from City A to City B along the same route in 2 hours, and his speed was between 50 miles per hour and 90 miles per hour. Which of the following could be the distance, in miles, from City A to City B?
Choices:
115
125
135
170
Answer: D
Question: Two trains 130 meters and 160 meters long are running in the same direction with speeds of 85 km/hr, 67km/hr. In how much time will the first train cross the second
Choices:
62 sec
58 sec
60 sec
65 sec
Answer: A
Question: 0.0006?=0.03
Choices:
20
0.2
0.02
None of these
Answer: C
Question: A beaker contains 180 lts of wine. Each day 60lts of wine is replaced with same amount of water what is the amount of wine after 3 days?
Choices:
160/3
180/3
190/3
200/3
Answer: A
Question: At an upscale fast-food restaurant, Shin can buy 3 burgers, 7 shakes, and one cola for $120. At the same place it would cost $164.50 for 4 burgers, 10 shakes, and one cola. How much would it cost for a meal of one burger, one shake, and one cola?
Choices:
$27
$31
$41
It cannot be determined
Answer: B
Question: The sum of two numbers is 528 and their H.C.F. is 33. The number of pairs of numbers satisfying the above conditions is :
Choices:
4
8
12
15
Answer: A
Question: The area of the GiftBox is 40 m2 that of a longer side 10 m2 and of the shorter side 4 m2, find the edge of the new cube?
Choices:
40 m3
60 m3
80 m3
50 m3
Answer: A
Question: For all positive integers n and m, the function A(n) equals the following product:
(1 + 1/2 + 1/2^2)(1 + 1/3 + 3^2)(1 + 1/4 + 4^2)…(1 + 1/p_n + 1/p_n^2), where p_n is the nth smallest prime number, while B(m) equals the sum of the reciprocals of all the positive integers from 1 through m, inclusive. The largest reciprocal of an integer in the sum that B(25) represents that is NOT present in the distributed expansion of A(5) is
Choices:
1/5
1/6
1/7
1/8
Answer: C
Question: what is the sum of the first 15 odd natural numbers
Choices:
400
500
600
225
Answer: D
Question: The simple interest at x% for x years will be $x on a sum of
Choices:
$(100)x^2
$ x
$ (100)/x
$ 100x
Answer: C
Question: How many times the keys of a writter haveto be pressedin order to write first 400 counting no.'s?
Choices:
1000
1092
1100
1200
Answer: B
Question: Celeste worked for h hours each day for d consecutive days. If she earns $9.50 per hour, what is the total amount she earned?
Choices:
9.50 + d + h
9.50 + dh
9.50h + d
9.50dh
Answer: D
Question: A shopkeeper fixes the marked price of an item 35% above its cost price. The percentage of discount allowed to gain 8% is
Choices:
20%
31%
43%
None
Answer: A
Question: Ketchup, Mustard and Mayo bottles at a hot dog stand are in the ratio of 3: 3: 2. If there are 6 Ketchup bottles, the number of Mayo bottles at the hot dog stand is:
Choices:
6
3
1
4
Answer: D
Question: The ratio of the volumes of two cubes is 2197 : 1331. What is the ratio of their total surface areas?
Choices:
169 : 121
169 : 191
121 : 169
121 : 182
Answer: A
Question: In how many different ways can the letters of the word â€˜EXTENTâ€™ be arranged?
Choices:
180
300
310
360
Answer: A
Question: In April's entire movie collection she has only 4 movies she likes, even though she has 13 movies. If she picks 2 movies randomly and simultaneously from her collection, what is the probability that exactly 1 of the movies will be one that she likes?
Choices:
21/36
1/12
6/13
9/26
Answer: C
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 S when N is divided by 30?
Choices:
(b) 7
(c) 11
(d) 13
(e) 17
Answer: B
Question: Joseph has a bag with 2 red balls and 3 blue balls. If he pulls out two at random and simultaneously, what is the probability of him pulling one red and one blue ball?
Choices:
3/5
8/15
4/12
7/18
Answer: A
Question: The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years. The present age of the husband is
Choices:
40 years
45 years
50 years
NOne
Answer: A
Question: A man, a woman and a boy can together complete a piece of work in 3 days. If a man alone can do it in 6 days and a boy alone in 12 days, how long will a woman take to complete the work?
Choices:
12days
9days
8days
11days
Answer: A
Question: Set A: 3, r, 8, 10
Set B: 4, y, 9, 11
The terms of each set above are given in ascending order. If the median of Set A is equal to the median of Set B, what is the value of y – r?
Choices:
-1
0
1
2
Answer: A
Question: A cylinder is 6 cms in diameter and 6 cms in height. If spheres of the same size are made from the material obtained, what is the diameter of each sphere?
Choices:
2 cms
3 cms
4 cms
6 cms
Answer: B
Question: What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 20%?
Choices:
20%
20%
27%
50%
Answer: A
Question: What is the probability of randomly selecting one of the shortest diagonals from all the diagonals of a regular 7-sided polygon)?
Choices:
1/2
1/4
1/6
1/7
Answer: A
Question: In a triangle, one side is 6 Cm and another side is 6 Cm. which of the following can be the perimeter of the triangle?
Choices:
25.
20.
32.
34.
Answer: B
Question: A, B and C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 105, how much must C pay as his share of rent?
Choices:
27
55
65
none
Answer: A
Question: Find the value of X, Y by solving the below equations
2X - Y = 16
X - Y = -5
Choices:
15, 13
13, 28
21, 26
25, 24
Answer: C
Question: when a number is divided by 13,the remainder is 11.When the same number is divided by 17,the remainder is 9.What is the number ?
Choices:
356
380
350
349
Answer: D
Question: If, for all integers n ≥ 1, xnxn is the probability of selecting at random an integer with an odd number of unique positive factors from among the positive integers less than or equal to n^2, then the sum of the first 5 values of xnxn is
Choices:
between 1 and 2
between 2 and 3
between 3 and 4
greater than 4
Answer: B
Question: The population of a town is 176400. If it increase at the rate of 5% per annum. What was its population 6 years ago?
Choices:
214560
131632
210000
200000
Answer: B
Question: At 6′o a clock ticks 6 times. The time between first and last ticks is 35 seconds. How long does it tick at 12′o clock
Choices:
77
28
66
11
Answer: A
Question: A person can row at 9 kmph and still water. He takes 4 1/2 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 1 kmph?
Choices:
76 km
99 km
77 km
20 km
Answer: D
Question: A can do a piece of work in 80 days. He works at it for 10 days & then B alone
finishes the remaining work in 42 days. In how much time will A and B, working
together, finish the work?
Choices:
41days
80days
42days
30days
Answer: D
Question: A square mirror has exactly half the area of the rectangular wall on which it is hung. If each side of the mirror is 21 inches and the width of the wall is 28 inches, what is the length of the wall, in inches?
Choices:
31.5
41.5
61.5
71.5
Answer: A
Question: At Veridux Corporation, there are 215 employees. Of these, 90 are female, and the rest are males. There are a total of 40 managers, and the rest of the employees are associates. If there are a total of 135 male associates, how many female managers are there?
Choices:
50
25
30
35
Answer: A
Question: The ratio of toddlers to infants at a day care center is 7 to 3. If twelve more infants join the day care to change the ratio to 7 to 5, how many toddlers are there at this day care center?
Choices:
36
42
72
120
Answer: B
Question: For integers U and V, when U is divided by V, the remainder is odd. Which of the following must be true?
Choices:
At least one of U and V is odd
U and V share no common factors other than 1
UV is odd.
U is odd
Answer: A
Question: The difference between a positive proper fraction and its reciprocal is 9/20. The fraction is?
Choices:
4/5
5
5/7
None
Answer: A
Question: In a certain mathematical activity, we start with seven cards, each with a different prime number written on it. These seven cards are randomly put into three boxes in the following way: one box must get four cards, one must get two, and one gets only one. Then, for each box, we find the product of all the cards in the box, and that’s the “number” of the box. Then, we put those three numbers in order, from lowest to highest, and that is our set. How many different sets T can be created from this process?
Choices:
105
210
420
630
Answer: A
Question: If the volume of a cube is x^3 cubic units, what is the number of square units in the surface area of the cube?
Choices:
x^3
x^6
6x^2
6x^3
Answer: C
Question: If x is a positive integer, which of the following must be odd?
Choices:
x^2+x
x^2+x+9
x^2−1
3x^2−3
Answer: B
Question: The total marks obtained by a student in Mathematics and Physics is 60 and his score in Chemistry is 10 marks more than that in Physics. Find the average marks scored in Mathamatics and Chemistry together.
Choices:
35
25
Data inadequate
None of these.
Answer: A
Question: A train 325 m long passed a pole in 25 sec. How long will it take to pass a platform 900 m long?
Choices:
94 sec
87 sec
75 sec
96 sec
Answer: A
Question: 48% of respondents to a survey consisted of those who used both M and N and those who used neither M nor N. 41% of respondents did not use M. 38% used N. What percent of respondents used only N?
Choices:
21.5%
20%
15.5%
17.5%
Answer: C
Question: A player holds 13 cards of four suits, of which seven are black and six are red. There are twice as many diamonds as spades and twice as many hearts as diamonds. How many clubs does he hold ?
Choices:
5
6
7
8
Answer: B
Question: Mangala completes a piece of work in 10 days, Raju completes the same work in 12 days. If both of them work together, then the number of days required to complete the work is?
Choices:
5.5 days
7.5 days
8.5 days
9.5 days
Answer: A
Question: Two bullet trains of equal lengths take 8 seconds and 15 seconds respectively to cross a telegraph post. If the length of each bullet train be 120 metres, in what time (in seconds) will they cross each other travelling in opposite direction?
Choices:
10.4 sec.
12 sec.
17 sec.
19 sec.
Answer: A
Question: Two machines, Y and Z, work at constant rates producing identical items. Machine Y produces 30 items in the same time Machine Z produces 38 items. If machine Y takes 19 minutes to produce a batch of items, how many minutes does it take for machine Z to produce the same number of items?
Choices:
9
9 1/2
15
13 1/2
Answer: C
Question: If the annual increase in the population of a town is 10% and the present number of people is 15000, what will the population be in 2 years?
Choices:
15240
18150
18452
19002
Answer: B
Question: Machine A and machine B are each used to manufacture 550 sprockets. It takes machine A 10 hours longer to produce 550 sprockets than machine B. Machine B produces 10 percent more sprockets per hour than machine A. How many sprockets per hour does machine A produces?
Choices:
5
7
8
9
Answer: A
Question: R and S start walking each other at 10 AM at the speeds of 3 km/h and 4 km/h respectively. They were initially 17.5 km apart. At what time do they meet?
Choices:
11 : 30 AM
1 : 30 PM
12 : 30 PM
None of these
Answer: C
Question: 3 buffaloes eat as much as 4 cows or 2 oxen. At a farm, there are 15 buffaloes, 8 oxen, and 24 cows. The fodder for these cattle is available for 24 days. If 60 more cows and 30 more buffaloes are brought in, how many days will the fodder last?
Choices:
9
12
15
18
Answer: A
Question: Tom and Linda stand at point A. Linda begins to walk in a straight line away from Tom at a constant rate of 3 miles per hour. One hour later, Tom begins to jog in a straight line in the exact opposite direction at a constant rate of 8 miles per hour. If both Tom and Linda travel indefinitely, what is the positive difference, in minutes, between the amount of time it takes Tom to cover half of the distance that Linda has covered and the amount of time it takes Tom to cover twice the distance that Linda has covered?
Choices:
72
84
96
108
Answer: C
Question: The area of a sector of a circle of radius 5 cm formed by an arc of length 4 cm is?
Choices:
8.67
8.75
10
8.28
Answer: C
Question: A merchant gets a 5% discount on each meter of fabric he buys after the first 2,000 meters and a 7% discount on every meter after the next 1,500 meters. The price, before discount, of one meter of fabric is $2, what is the total amount of money the merchant spends on 5,500 meters of fabric?
Choices:
$8,540
$9,720
$10,570
$11,680
Answer: C
Question: Find (7x + 2y ) / (x-2y) if x/2y = 3/2 ?
Choices:
23
26
27
29
Answer: A
Question: If A can finish a work in 12 days and B can finish same work in 15 days.then they together can finish that work in how many days?
Choices:
12
20/3
8
10/3
Answer: B
Question: Convert the following units:
(a) 60 cm² in mm²
Choices:
1600 mm²
6000 mm²
600 mm²
6600 mm²
Answer: B
Question: The ratio between the perimeter and the width of a rectangle is 5 : 1. If the area of the rectangle is 294 sq. cm, what is the length of the rectangle?
Choices:
18 cm
21 cm
24 cm
27 cm
Answer: B
Question: A and B ran, at their respective constant rates, a race of 480 m. In the first heat, A gives B a head start of 48 m and beats him by 1/10th of a minute. In the second heat, A gives B a head start of 144 m and is beaten by 1/30th of a minute. What is B’s speed in m/s?
Choices:
12
16
18
20
Answer: A
Question: a factory produce certain no of car a day finds that increase in production efficiency by 12 1/2% then they produce 20 cars per day.how many cars produced in a day when their efficiency is 20% less
Choices:
13
14
15
16
Answer: B
Question: The equation relates the values (R - 3)/28 = (S + 8)/35 of two linked currencies, where R is the value in dollars of one currency and S is the value in dollars of the other currency. Which of the following equations can be used to convert dollar values from the R currency to the S currency?
Choices:
S = (5R - 47)/4
S = (5R + 17)/4
S = (4R - 17)/5
S = 5R/4 - 12
Answer: A
Question: Simple interest on a certain sum at a certain annual rate of interest is 1/3 of the sum. If the numbers representing Time is three times the Rate percent , then the Rate is:
Choices:
2 1/3 %.
3 1/3 %.
4 1/3 %.
5 1/3 %.
Answer: B
Question: The third smallest prime number is?
Choices:
71
79
83
89
Answer: B
Question: One out of every 2000 computer chips is defective. If 2 out of every 30 defective chips have defective processors and there are 30 defective processors in the first batch, how many computer chips are there in the first batch?
Choices:
900
90,000
450,000
900,000
Answer: D
Question: In what ratio should two varieties of sugar of Rs.18 per kg and Rs.24 kg be mixed together to get a mixture whose cost is Rs.20 per kg?
Choices:
3:1
1:2
2:1
3:4
Answer: C
Question: Mary has a monthly salary of $1200. She spends $280 per month on food. What percent of her monthly salary does she spend on food?
Choices:
23%
24%
25%
26%
Answer: A
Question: If X = the product of four distinct prime numbers, how many factors does X have besides 1 and itself?
Choices:
11
12
13
14
Answer: D
Question: What should come in place of the question mark (?) in the following equation?
12400 + 6899 = 610+ ?
Choices:
56894
18689
23478
94561
Answer: B
Question: A person can row at 9 kmph and still water. He takes 8 1/2 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 1 kmph?
Choices:
87 km
38 km
67 km
20 km
Answer: B
Question: The compound interest accrued on an amount of Rs.44000 at the end of two years is Rs.1193.60. What would be the simple interest accrued on the same amount at the same rate in the same period?
Choices:
Rs.10287
Rs.10560
Rs.10227
Rs.11827
Answer: B
Question: A test has 120 questions. Each question has 5 options, but only 1 option is correct. If test-takers mark the correct option, they are awarded 1 point. However, if an answer is incorrectly marked, the test-taker loses 0.25 points. No points are awarded or deducted if a question is not attempted. A certain group of test-takers attempted different numbers of questions, but each test-taker still received the same net score of 40. What is the maximum possible number of such test-takers?
Choices:
13
15
17
19
Answer: C
Question: A man can reach certain place in 50hours. If he reduces his speed by 1/10th, he goes 400km less in time. Find his speed?
Choices:
30km/hr
40km/hr
80km/hr
60km/hr
Answer: C
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:
Rs.148
Rs.144
Rs.129
Rs.112
Answer: B
Question: The sum of the ages of 5 children born at the intervals of 3 year each is 60 year. what is the age of the eldest child ?
Choices:
18 year
10 year
None of these
9 year
Answer: A
Question: There are 35 students in a hostel. If the no. of students increases by 7, the expenses of the mess increase by Rs.42/day while the average expenditure per head diminishes by Rs1. Find the original expenditure of the mess?
Choices:
Rs. 39
Rs. 42
Rs. 48
Rs. 49
Answer: B
Question: Total number of people attending a party is 600. 70% of the men are wearing black shirt and rest are wearing red. If 60% of the total people are women then how many men are wearing red shirts?
Choices:
72
56
170
60
Answer: A
Question: Find the odd man out
253, 136, 352, 327, 631, 244
Choices:
327
352
631
531
Answer: A
Question: The average weight of 10 men is increased by 2 ½ kg when one of the men who weighs 58 kg is replaced by a new man. What is the weight of the new man?
Choices:
83 kg
70 kg
75 kg
85 kg
Answer: A
Question: The speeds of 3 trains in the ratio 3:9:12. The ratio between time taken by them to travel the same distance is?
Choices:
12:4:3
4:8:9
6:5:2
4:8:7
Answer: A
Question: Ram has passed his exam of 5 subject in 85% of marks. He has gotten 90, 75, 98 and 72 marks in four subjects. Therefore what is his marks in the fifth subject?
Choices:
85
95
90
84
Answer: C
Question: A grocer has a sale of Rs. 2500, Rs. 6500, Rs. 9855, Rs. 7230 and Rs. 7000 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 7500?
Choices:
s. 49910
s. 11915
s 6997
s. 5000
Answer: B
Question: The cost price of 16 articles is equal to the selling price of 11 articles. Find the profit percent?
Choices:
45 5/11%
48 9/11%
48 2/91%
42 2/11%
Answer: A
Question: Pat, Kate, and Mark charged a total of 144 hours to a certain project. If Pat charged twice as much time to the project as Kate and 1/3 as much time as Mark, how many more hours did Mark charge to the project than Kate?
Choices:
80
72
90
108
Answer: A
Question: How many number of weights do u need to weigh 31 kg of rice if u have only one 1kg weights stone ?
Choices:
31
5
4
3
Answer: B
Question: If tuesday falls on 4th of month, then which day will fall three days after the 24th ?
Choices:
tuesday
monday
thursday
friday
Answer: C
Question: If the sum of two numbers is 42 and their product is 437, then find the
absolute difference between the numbers.
Choices:
4
3
1
0
Answer: A
Question: A student got 74% in math and 84% in history. To get an overall average of 75%, how much should the student get in the third subject?
Choices:
63%
65%
67%
69%
Answer: C
Question: In one hour, a boat goes 11 km along the stream and 7 km against the stream. the sped of the boat in still water (in km/hr) is :
Choices:
5
8
9
10
Answer: C
Question: The current birth rate per ten thousand is 620, whereas corresponding death rate is 110 per ten thousand. The net growth rate in terms of population increase in percent is given by
Choices:
4.5
5.5
5.2
5.1
Answer: D
Question: The cash difference between the selling prices of an article at a profit of 4% and 6% is Rs. 3. The ratio of the two selling prices is:
Choices:
52:53
51:53
52:55
53:54
Answer: A
Question: Find the odd man out. 1, 4, 9, 16, 25, 37, 49, 64, 81
Choices:
25
37
49
81
Answer: B
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 38 years now, the son's age five years back was:
Choices:
14 years
33years
38 years
3 years
Answer: A
Question: In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?
Choices:
209
321
521
130
Answer: A
Question: What is the remainder when 6^381 is divided by 5 ?
Choices:
1
2
3
4
Answer: A
Question: Which of the following is(are) true for a@b=b@a?
I. a@b=ab+ba
II. a@b=(a+b+1)(a-b)
III. a@b=(a/b)+(b/a)
Choices:
only Ⅱ
only Ⅲ
only ⅠⅢ
only ⅡⅢ
Answer: C
Question: How many integers from 1 to 100 exist such that each is divisible by 5 and also has 5 as a digit ?
Choices:
12
11
20
25
Answer: B
Question: The difference between a two-digit number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of that number?
Choices:
4
3
Cannot be determined
None of theses
Answer: A
Question: train having a length of 240 metre passes a post in 24 seconds. How long will it take to pass a platform having a length of 650 metre?
Choices:
89 sec
90 sec
85 sec
99 sec
Answer: A
Question: A 2-year certificate of deposit is purchased for R dollars. If the certificate earns interest at a n annual rate of 6 percent compound quarterly, which of the following represents the value, in dollars, of the certificate at the end of 2 years?
Choices:
k(1.06)^8
k(1.015)^2
R(1.015)^8
k(1.03)^4
Answer: C
Question: The price of a vehicle, passing through three hands, rises on the whole by 65%. If the first and the second sellers earned 20% and 25% profit respectively. Find the percentage profit earned by the third seller.
Choices:
5%
15%
10%
None of these
Answer: C
Question: At 6'o clock clock ticks 6 times. The time between first and
last ticks was 30sec. How much time it takes at 12'o clock.
Choices:
62sec
66sec
64sec
76sec
Answer: B
Question: If A and B are two events such that P (A) = 3/4, P (B) = 1/2 and P (A n B) = 3/4,
find P (not A and not B).
Choices:
B)1/2
C)1/3
D)1/4
E)1/5
Answer: A
Question: What sum of money will produce Rs.70 as simple interest in 4 years at 3 1/2 percent?
Choices:
500
367
368
339
Answer: A
Question: The sum of the present ages of two persons A and B is 60. If the age of A is twice that of B, find the sum of their ages 8 years hence?
Choices:
76
70
98
71
Answer: A
Question: Find HCF of 4/5, 8/35, 2/15, 6/25 ?
Choices:
6/360
2/525
2/720
3/680
Answer: B
Question: Two persons start running simultaneously around a circular track of length 520 m from the same point at speeds of 18 kmph and 30 kmph. When will they meet for the first time any where on the track if they
are moving in the opposite direction ?
Choices:
39
124
32
38
Answer: A
Question: 14.02 Ã— 0.001 = ?
Choices:
0.001402
1.4021
0.01402
None of these
Answer: C
Question: If y is an integer, which of the following must also be an integer?
I. x/y
II. y/x
III. xy
Choices:
II alone
III alone
I and III
None of the above
Answer: B
Question: A, B, K start from the same place and travel in the same direction at speeds of 30 km/hr, 40 km/hr, 160 km/hr respectively. B starts two hours after A. If B and K overtake A at the same instant, how many hours after A did K start?
Choices:
5.5
6.0
6.5
7.0
Answer: C
Question: A dishonest dealer professes to sell goods at the cost price but uses a weight of 950 grams per kg, what is his percent?
Choices:
5.3%
65%
45%
35%
Answer: A
Question: Having received his weekly allowance, John spent 3/5 of his allowance at the arcade. The next day he spent one third of his remaining allowance at the toy store, and then spent his last $0.64 at the candy store. What is John’s weekly allowance?
Choices:
$2.40
$3.20
$3.60
$4.80
Answer: A
Question: 3,7,12,18,26,__
Choices:
36
39
40
41
Answer: A
Question: Mary decided to save a certain amount of her monthly salary each month and her salary was unchanged from month to month. If Mary's savings by the end of the year from these monthly savings were SEVEN times the amount she spent per month, what should be the fraction of her salary that she spent each month?
Choices:
3/4
10/19
11/19
12/19
Answer: D
Question: If Tim had lunch at $50.50 and he gave 40% tip, how much did he spend?
Choices:
B)$70.70
C)$60.60
D)$21.56
E)$78.45
Answer: A
Question: tipli and pikli are a married couple (dont ask me who he is and who she is)
They have two children, one of the child is a boy. Assume safely that the probability of each gender is 1/2.
What is the probability that the other child is also a boy?
Hint: It is not 1/2 as you would first think.
Choices:
1/3
3/5
1/8
1/4
Answer: A