antoine-444/aqua_rat_dataset huggingface dataset:
Question: A restaurant buys fruit in cans containing 3 1/2 cups of fruit each. If the restaurant uses 1/2 cup of the fruit in each serving of its fruit compote, what is the least number of cans needed to prepare 60 servings of the compote ?
Choices:
8
9
10
12
Answer: B
Question: The probability that it is Friday and that a student is absent is 0.03. Since there are 5 school days in a week, the probability that it is Friday is 0.2. What is the probability that a student is absent given that today is Friday?
Choices:
15%
12%
13%
14%
Answer: A
Question: What was the day on 15th august 1947 ?
Choices:
Friday
Saturday
Thursday
Monday
Answer: A
Question: A credit card company has a cash back option for their customers which is based on the annual amount that they charge on their credit cards. The customer receives 1% cash on their first $5000 of purchase, 2% on the next $5000 of purchase and a 3% on cash back on portion that exceeds $10,000. If a customer receives a cash back of 2.2% on their total annual charges made on the credit card, then what was the customer's annual charge?
Choices:
$15,000
$16,250
$17,500
$18,750
Answer: D
Question: Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is?
Choices:
3/2
3/9
3/5
7/2
Answer: A
Question: Sum of 19 odd numbers is?
Choices:
351
361
371
381
Answer: B
Question: if 3rd ter, and 9th term is 8 in a.p,then find the 11th term
Choices:
62
63
64
65
Answer: C
Question: Anand and Deepak started a business investing Rs. 22,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 13,800, Deepak's share is?
Choices:
Rs.8420
Rs.8400
Rs.8420
Rs.8412
Answer: B
Question: he average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?
Choices:
1
10
19
8
Answer: C
Question: There are 7 red balls and 5 blue balls in a jar. If 3 balls are selected from the jar, what is the probability that 3 balls selected are red balls?
Choices:
5/44
3/41
13/44
7/44
Answer: D
Question: The difference between the place values of 6 and 5 in the number 826533 is
Choices:
5500
2500
6970
None
Answer: A
Question: In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is:
Choices:
3 Hours
4 Hours
1 Hour
5 Hours
Answer: C
Question: A tank is filled in FOUR hours by three pipes A, B and C. Pipe A is twice as fast as pipe B, and B is twice as fast as C. How much time will pipe B alone take to fill the tank?
Choices:
28 hours
55 hours
14 hours
47 hours
Answer: C
Question: A car dealership finances the purchase of a $30,000 car by lending y over the purchase price of the car to account for interest. If the dealership also charges a separate $150 service fee for the financing, this service fee is what fraction of the amount received by the customer?
Choices:
150Y*30000
30150+Y
150Y
150/(30000+Y)
Answer: D
Question: What will be the ans of that 126th term in the series abbcccdddd......???
Choices:
n
o
q
p
Answer: D
Question: What is the ratio whose term differ by 35 and the measure of which is 2/7?
Choices:
B)14:49
C)71:85
D)32:39
E)41:52
Answer: A
Question: If X gets 25% more than Y and Y gets 20% more than Z, the share of Z out of Rs. 1110 will be:
Choices:
Rs. 300
Rs. 240
Rs. 350
None of these
Answer: A
Question: One side of a triangle has length 7 and a second side has length 4. Which of the following could be the area of the triangle?
I. 15
II. 10
III. 5
Choices:
II only
III only
II and III only
I, II and III
Answer: C
Question: Of the 180 people at a party, 70 were women, and 30 women tried the appetizer. If 50 people did not try the appetizer, what is the total number of men who tried the appetizer?
Choices:
50
60
70
100
Answer: D
Question: 2 no.'s, when divided by 17, leave remainders 13 and 11 respectively. If the sum of those 2 no.'s is divided by 17, the remainder will be
Choices:
5
7
9
11
Answer: B
Question: What is the value of (P + Q)/(P - Q) if P/Q is 4?
Choices:
5/3
2/6
7/8
8/7
Answer: A
Question: When a is divided by b, the quotient is c with remainder 4. What is a in terms of 4, b, and c?
Choices:
bc+4
b+c
bc*4
bc-4
Answer: A
Question: If a and b are unique prime integers, which of the following must be even?
Choices:
a−2b
2a−2b
2a−b
ab^2
Answer: B
Question: In a coconut grove, (x + 2) trees yield 40 nuts per year, x trees yield 120 nuts per year and (x – 2) trees yield 180 nuts per year. If the average yield per year per tree be 100, find x.
Choices:
4
5
6
7
Answer: D
Question: Given that E and F are events such that P(E) = 0.16, P(F) = 0.4 and P(E n F) = 0.4,
find P (E|F) and P(F|E)?
Choices:
1/4
2
2/5
None
Answer: A
Question: What amount does an investor receive if the investor invests $4000 at 10% p.a. compound interest for two years, compounding done annually?
Choices:
$4840
$4920
$5080
$5160
Answer: A
Question: Which of the following is closest to the difference between sum W 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: Antonio works in a bakery. He made cookies that cost $2 and made $420. How many customer did he have?
Choices:
210 customers
250 customers
230customers
170 customers
Answer: A
Question: Gold is 11 times as heavy as water and copper is 5 times as heavy as water. In what ratio should these be mixed to get an alloy 8 times as heavy as water?
Choices:
1:1
3:1
5:2
4:3
Answer: A
Question: A gardener wants to plant trees in his garden in rows in such a way that the number of trees in each row to be the same. If there are 24 rows the number of trees in each row is 42 if there are 12 more rows find the number of trees in each row?
Choices:
B)28
C)48
D)32
E)33
Answer: A
Question: A Orange costs Rs 11 each and a watermelon costs Rs. 7 each. If I spend Rs 40 on total what is the number of orange I purchased?
Choices:
8
9
3
10
Answer: C
Question: Solve the following quadratic equation by factoring.
x2-5x-14=0
Choices:
-2,7
1,8
1,-8
2,6
Answer: A
Question: A man can reach certain place in 50hours. If he reduces his speed by 1/10th, he goes 450km less in time. Find his speed?
Choices:
30km/hr
40km/hr
50km/hr
90km/hr
Answer: D
Question: A bus started its journey from Mumbai and reached Pune in 44min with its average speed of 50 km/hr. If the average speed of the bus is increased by 5km/hr, how much time will it take to cover the same distance?
Choices:
20 min
30 min
40 min
50 min
Answer: C
Question: In how many ways can the letters {U, U, R, R} be arranged?
Choices:
4
120
720
840
Answer: A
Question: Calculate the average of all the numbers between 7 and 49 which are divisible by 6.
Choices:
18
19
15
30
Answer: D
Question: Five pieces of wood have an average length of 128cm and a median length of 140cm. What is the maximum possible length, in cm, of the shortest piece of wood?
Choices:
b) 100
c) 110
d) 130
e) 140
Answer: B
Question: If the price of gold increases by 50%, find by how much the quantity of ornaments must be reduced, so that the expenditure may remain the same as before?
Choices:
33 1/3 %
30%
19%
21%
Answer: A
Question: A 600 meter long train crosses a signal post in 40 seconds. How long will it take to cross a 18 kilometer long bridge, at the same speed?
Choices:
20 min
18 min
19 min
13 min
Answer: A
Question: How many different ways can you select a pilot and a co pilot if you have 95 people to choose from?
Choices:
200
398
4950
8930
Answer: D
Question: If x and y are integers such that x^2= y and xy = 343, then x – y = ?
Choices:
-42
-5
5
20
Answer: A
Question: What is the sum of all the composite numbers up to 18?
Choices:
112
80
96
100
Answer: A
Question: The average successfull Search time for sequential search on n items is
Choices:
(n-1)/2
(n+1)/2
log(n)+1
(n)+1
Answer: B
Question: A and B invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and A's share is Rs. 855, the total profit is:
Choices:
Rs. 1500
Rs. 1537.50
Rs. 1576
Rs. 1643
Answer: A
Question: If a survey shows that 30 citizens out of a sample of 200 support a particular Senate bill, what percent of the sample does not support the bill?
Choices:
64%
72%
82%
85%
Answer: D
Question: In the parking lot there are 50 vehicles, 30 of them are buses, and the rest are cars. The color of 30 vehicles is red, of which 18 are buses. How many cars can be found in the parking lot which are not colored red?
Choices:
5
6
7
8
Answer: D
Question: there are a no. of chocolates in a bag.if they were equally divided among 14 children,there are 10 chocolates left.if they were to be equally divided among 15 children,there are 8 chocolates left.obviously,this can be satisfied if any multiple of 210 chocolates are added to the bag.What is the remainder when the minimum feasible number of chocolates in the bag is divided by 9
Choices:
2
3
4
5
Answer: D
Question: Find the perimeter and area of a square of side 12 cm.
Choices:
144
169
196
100
Answer: A
Question: Find the simple interest on Rs. 71,200 at 16 2/3% per annum for 9 months.
Choices:
s.8900
s.7500
s.7000
s.6500
Answer: A
Question: Find the unit's digit in the product (2467)^153 * (341)^72
Choices:
1
2
7
9
Answer: C
Question: The ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is:
Choices:
16
20
24
48
Answer: D
Question: The average age of 39 students in a group is 10 years. When teacher’s age is included to it, the average increases by one. What is the teacher’s age in years?
Choices:
50
60
cannot be determined
None of these
Answer: A
Question: Rs.2500 is divided into two parts such that if one part be put out at 5% simple interest and the other at 6%, the yearly annual income may be Rs.135. How much was lent at 5%?
Choices:
2777
2688
1500
2871
Answer: C
Question: A man can row 30 km downstream and 20 km upstream in 4 hours. He can row 45 km downstream and 40 km upstream in 7 hours. Find the speed of man in still water?
Choices:
12.7 kmph
12.6 kmph
12.5 kilometre per hour
12.3 kmph
Answer: C
Question: In a party every person shakes hands with every other person. If there were a total of 136 handshakes in the party then what is the number of persons present in the party ?
Choices:
16
17
18
19
Answer: B
Question: If a, b, and c are consecutive even positive integers, which of the following could be equal to a + b + c ?
Choices:
200
618
391
412
Answer: B
Question: What is the remainder when you divide 2^200-2 by 7?
Choices:
2
3
4
5
Answer: A
Question: A certain list consists of 11 different numbers. If n is in the list and n is 5 times the average (arithmetic mean) of the other 10 numbers in the list, then n is what fraction of the sum of the 11 numbers in the list?
Choices:
1/3
1/4
3/5
1/6
Answer: A
Question: A clock gains 5 minutes. in 24 hours. It was set right at 10 a.m. on Monday. What will be the true time when the clock indicates 10:30 a.m.on the next Sunday ?
Choices:
10 a.m
25 minutes past 10 a.m.
5 minutes to 11 a.m.
None of these
Answer: A
Question: If m is a positive integer and m^2 is divisible by 39, then the largest positive integer that must divide m is?
Choices:
6
8
12
13
Answer: D
Question: If 893 × 78 = p, which of the following is equal to 893 × 79?
Choices:
p + 78
p + 79
p + 893
p + 894
Answer: C
Question: The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is:
Choices:
94
184
364
154
Answer: C
Question: Which of the following fractions is greater than 1/3?
Choices:
1. 12/50
3. 2/9
4. 4/17
5. 6/24
Answer: A
Question: The music class consists of 3 girls and 7 boys. How many ways can a group of 3 be formed if it has to include at least one boy?
Choices:
119
161
165
172
Answer: A
Question: Running at the same constant rate, 6 identical machines can produce a total of 420 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?
Choices:
1800
2800
10800
10900
Answer: B
Question: 90 is increased by 50%. Find the final number.
Choices:
110
135
140
160
Answer: B
Question: A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is:
Choices:
110 kmph
150 kmph
120 kmph
170 kmph
Answer: C
Question: Carolyn and Sandra are partners in a business. Carolyn manages the business and gets 11% of the profit, and the rest is divided in proportion to their capitals. Find the share of Carolyn's in a profit of 11000 if Carolyn invested 20000 while her partner, Sandra invested 38000.
Choices:
2585.9
1585.9
3585.9
4585.9
Answer: D
Question: A group of students decided to collect as many paise from each member of group as is the number of members. If the total collection amounts to Rs. 51.84, the number of the member is the group is:
Choices:
67
72
87
97
Answer: B
Question: Tickets numbered from 1 to 26 are mixed and then a ticket is selected randomly. What is the probability that the selected ticket bears a number which is a multiple of 3?
Choices:
2/5
3/10
4/13
1/7
Answer: C
Question: What is the measure of the angle E made by the diagonals of the any adjacent sides of a cube.
Choices:
45
60
75
90
Answer: B
Question: Pens, Pencils and Markers in a Jenna's desk are in the ratio of 2: 2 : 5. If there are 10 Pens, the number of Markers in Jenna's desk is:
Choices:
22
20
25
100
Answer: C
Question: Convert the following unit:
5 hectares in mÂ²
Choices:
50000 mÂ²
60000 mÂ²
70000 mÂ²
55000 mÂ²
Answer: A
Question: How many times are the hands of a clock at right angle in a day?
Choices:
24
44
32
48
Answer: B
Question: A train of 30 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.5 km long?
Choices:
3.3
5
7
9
Answer: A
Question: The population of a bacteria culture doubles every 6 minutes. Approximately how many minutes will it take for the population to grow from 1,000 to 500,000 bacteria
Choices:
12
14
54
18
Answer: C
Question: Working alone, Mary can pave a driveway in 3 hours and Hillary can pave the same driveway in 6 hours. When they work together, Mary thrives on teamwork so her rate increases by 10%, but Hillary becomes distracted and her rate decreases by 20%. If they both work together, how many hours will it take to pave the driveway?
Choices:
2 hours
5 hours
6 hours
7 hours
Answer: A
Question: When positive integer N is divided by positive integer J, the remainder is 15. If N/J = 134.08, what is value of J?
Choices:
56
78
112
187.5
Answer: D
Question: Two pipes A and B can fill a cistern in 12 and 15 minutes respectively. Both are opened together but after 3 minutes A is turned off. After how much more time will the cistern be filled?
Choices:
8 1/9
8 1/4
8 1/1
8 1/5
Answer: B
Question: Four horses are tethered at four corners of a square plot of side 63 metres so that they just cannot reach one another. The area left ungrazed is:
Choices:
780.6m2
785.8m2
850.5m2
950.5m2
Answer: C
Question: A rectangular photograph is surrounded by a border that is 1 inch wide on each side. The total area of the photograph and the border is M square inches. If the border had been 5 inches wide on each side, the total area would have been (M + 180) square inches. What is the perimeter of the photograph, in inches?
Choices:
21
38
40
42
Answer: A
Question: If the letters of the word PLACE are arranged taken all at a time, find how many do not start with AE.
Choices:
114
115
119
120
Answer: A
Question: Out of four numbers ,the average of first three is 16 and that of the last three is 15. If the last number is 23,the first number is :
Choices:
21
77
99
26
Answer: D
Question: A man can row upstream at 8kmph and downstream at 13 kmph. The speed of the stream is?
Choices:
2.5kmph
3.5kmph
4.3kmph
5kmph
Answer: A
Question: Fresh fruit contains 68% water and dry fruit contains 20% water. How much dry fruit can be obtained from 100 kg of fresh fruits ?
Choices:
20Kg
30Kg
40Kg
50Kg
Answer: C
Question: Find the fourth proportion to 3,12,4
Choices:
16
10
12
14
Answer: A
Question: Charles walks over a railway-bridge. At the moment that he is just ten meters away from the middle of the bridge, he hears a train coming from behind. At that moment, the train, which travels at a speed of 90 km/h, is exactly as far away from the bridge as the bridge measures in length. Without hesitation, Charles rushes straight towards the train to get off the bridge. In this way, he misses the train by just four meters! If Charles would, however, have rushed exactly as fast in the other direction, the train would have hit him eight meters before the end of the bridge.
What is the length of the railway-bridge?
Choices:
41 meters.
42 meters.
43 meters.
44 meters.
Answer: D
Question: c and d represents 2 train stations which are 320 km apart. If 2 trains leave each station and travel towards each other at what time will they meet each other, given that the first train left the station at 11 a.m. and travels at a speed of 85 kmph while the second train left the station at 12 p.m. and travels at a speed of 75 kmph.
Choices:
2.00 p.m
12.00 p.m
12.30 p.m
11.00p.m
Answer: B
Question: If x is the median of the set {9/2, 11/3, x,28/9, 21/5}, x could be
Choices:
17/5
4/7
30/7
4
Answer: D
Question: The cost to park a car in a certain parking garage is $15.00 for up to 2 hours of parking and $1.75 for each hour in excess of 2 hours. What is the average (arithmetic mean) cost per hour to park a car in the parking garage for 9 hours?
Choices:
$1.67
$2.25
$2.37
$3.03
Answer: D
Question: A library has an average of 175 visitors on Sundays and 75 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is :
Choices:
90
100
110
120
Answer: A
Question: Tickets for all but 100 seats in a 10,000-seat stadium were sold. Of the tickets sold, 15% were sold at half price and the remaining tickets were sold at the full price of $2. What was the total revenue from ticket sales?
Choices:
$17,820
$18,000
$18,315
$21,780
Answer: C
Question: If the average cost of a house was $50,000 in 1965 and was x in 2005, what was the average increase in home prices per year over this period?
Choices:
(x-50,000)/40
(50,000/40)+x
(50,000-x)/40
x/40
Answer: A
Question: Suppose you have access to a large vat of distilled water, several gallons large. You have two precise measuring pipettes, one to measure exactly 1/4 of an ounce and one to measure exactly 1/5 of an ounce. You can pour precisely measured amounts into a beaker, which initially is empty. You can use either pipette to remove distilled water from the vat or from the beaker and use either pipette to dispense water into either of those receptacles, but you cannot use either pipette to take any quantity of distilled water other than the amount for which it is designed. Which of the following represents, in ounces, a precise amount of distilled water you can transfer from the vat to the beaker?
I. 1/6
II. 1/7
III. 1/12
Choices:
1/20 and 9/20
I and III only
II and III only
I, II, and III
Answer: A
Question: A train is running at a speed of 40 km/hr and it crosses a post in 16.2 seconds. What is the length of the train?
Choices:
160 metres
200 metres
120 metres
250 metres
Answer: A
Question: The two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 km. then find the speed of the faster train?
Choices:
68
26
28
12
Answer: A
Question: How many such 3's are there in the following number sequence which are immediately Preceded by an odd number and immediately followed by an even number? 5 3 8 9 4 3 7 2 3 8 1 3 8 4 2 3 5 7 3 4 2 3 6
Choices:
2
3 three
4
More than four
Answer: B
Question: What sum of money put at C.I amounts in 2 years to Rs.7000 and in 3 years to Rs.9261?
Choices:
4000
2877
2678
1011
Answer: A
Question: All of the students of Music High School are in the band, the orchestra, or both. 80 percent of the students are in only one group. There are 136 students in the band. If 60 percent of the students are in the band only, how many students are in the orchestra only?
Choices:
39
34
42
48
Answer: B
Question: Three dice are thrown together, Find the probability of getting a total of at least 5?
Choices:
3/5
51/52
1/2
53/54
Answer: D
Question: A chair is bought for Rs.120/- and sold at Rs.240/- find gain or loss percentage
Choices:
120% gain
125% gain
100% gain
350% gain
Answer: C
Question: A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2460?
Choices:
26676
29986
14000
29898
Answer: C
Question: The average (arithmetic mean) of eight numbers is 44.1. If the sum of half of these numbers is 158.4, what is the average of the other half?
Choices:
24.2
48.6
72.1
96.8
Answer: B
Question: The price of the jewel, passing through three hands, rises on the whole by 80%. If the first and the second sellers 20% and 25% profit respectively find the percentage profit earned by the third seller.
Choices:
20
15
25
30
Answer: A
Question: A man buys Rs. 44 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share is:
Choices:
s. 15
s. 18
s. 21
s. 33
Answer: D
Question: Which of the following is greatest?
Choices:
1/2
1/3
1/6
1/7
Answer: A
Question: Ron walks to a viewpoint and returns to the starting point by his car and thus takes a total time of 6 hours 45 minutes. He would have gained 2 hours by driving both ways. How long R would it have taken for him to walk both ways.
Choices:
8 h 45 min
6 h 45 min
5 h 30 min
None of these
Answer: A
Question: A work can be finished in 14 days by thirty women. The same work can be finished in fifteen days by forteen men. The ratio between the capacity of a man and a woman is
Choices:
4:3
2:1
3:2
4:5
Answer: B
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:
25 km/hr
79.2 km/hr
15 km/hr
38 km/hr
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 54 km/hr, what is the length of the platform?
Choices:
240 m
227 m
167 m
186 m
Answer: A
Question: If Raj shares all of his amount equally among his five friends then each of his friend's amount increased by $10 then Raj had how much?
Choices:
$20
$30
$40
$50
Answer: D
Question: The public library has exactly 2 floors. It has 3/4 as many shelves on its 2nd floor as it does on its 1st. If the second floor has 5/6 as many books per shelf as the first floor, what fraction of the library's books are on the first floor?
Choices:
24/39
5/9
9/14
5/6
Answer: A
Question: If p / q is an integer, which of the following statements must be true?
Choices:
p = nq where n is an integer
q / p is an integer
either p or q is negative
p is an integer
Answer: A
Question: The population of a bacteria colony doubles every day. If it was started 6 days ago with 2 bacteria and each bacteria lives for 12 days, how large is the colony today?
Choices:
128
256
512
1024
Answer: A
Question: A bowl contains equal numbers of red, orange, green, blue, and yellow candies. Kaz eats all of the green candies and half of the orange ones. Next, he eats half of the remaining pieces of each color. Finally, he eats red and yellow candies in equal proportions until the total number of remaining candies of all colors equals 25% of the original number. What percent of the red candies remain?
Choices:
15%
25%
35%
40%
Answer: B
Question: A train ride from Two P to Town Q costs $2.35 more than does a bus ride from Town P to Town Q. Together, the cost of one train ride and one bus ride is $9.85. What is the cost of a bus ride from Town P to Town Q?
Choices:
$2.50
$3.75
$4.70
$8.20
Answer: B
Question: Square A has an area of 25 square centimeters. Square B has a perimeter of 12 centimeters. If square B is placed within square A and a random point is chosen within square A, what is the probability the point is not within square B?
Choices:
1/5
16/25
3/5
6/25
Answer: B
Question: What are the unit and symbol for current?
Choices:
776
26
68
26
Answer: C
Question: If 2x + y = 7 and x + 2y = 5, then 4xy/3 =?
Choices:
B) 2
C) 17/5
D) 18/5
E) 4
Answer: D
Question: Three taps A, B and C can fill a tank in 12, 15 and 20 hours respectively. If A is open all the time and B and C are open for one hour each alternately, the tank will be full is?
Choices:
8 hrs
7 hrs
3 hrs
12 hrs
Answer: B
Question: 10 men can complete a piece of work in 15 days and 15 women can complete the same work in 12 days. If all the 10 men and 15 women work together, in how many days will the work get completed?
Choices:
6 1⁄3
6 2⁄3
7 2⁄3
None of these
Answer: B
Question: Rohan spends 40% of his salary on food, 20% on house rent, 10% on entertainment and 10% on conveyance. If his savings at the end of a month are Rs. 1500. then his monthly salary is
Choices:
Rs. 7500
Rs. 8000
Rs. 10,000
None
Answer: A
Question: (4300631)-?=2535618
Choices:
1775123
1765013
1675123
None of them
Answer: B
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If four marbles are picked at random, what is the probability that none is blue?
Choices:
33/91
33/92
33/96
33/93
Answer: A
Question: Krishna's monthly expenditure was decreased by 50% and subsequently increased by 50%. How much percent does he loss?
Choices:
25 %
75 %
85 %
None of these
Answer: A
Question: In a school with 5 classes, each class has 2 students less then the previous class. How many students are there in the largest class if the total number of students at school is 95?
Choices:
19
21
23
25
Answer: C
Question: A lent Rs. 5000 to B for 2 years and Rs. 3000 to C for 4 years on simple interest at the same rate of interest and received Rs. 2200 in all from both of them as interest. The rate of interest per annum is?
Choices:
12%
74%
10%
45%
Answer: C
Question: A merchant gains or loses, in a bargain, a certain sum. In a second bargain, he gains 280 dollars, and, in a third, loses 20. In the end he finds he has gained 120 dollars, by the three together. How much did he gain or lose bv the first ?
Choices:
-140
140
120
None
Answer: A
Question: Five bells begin to toll together and toll respectively at intervals of 6, 5, 7, 10 and 12 seconds. How many times will they toll together in one hour excluding the one at the start ?
Choices:
8 times
9 times
11 times
12 times
Answer: A
Question: Find the sum lend at C.I. at 5 p.c per annum will amount to Rs.441 in 2 years?
Choices:
400
268
267
256
Answer: A
Question: Set J consists of the terms {a, b, c, d, e}, where e > d > c > b > a > 3. Which of the following operations would decrease the standard deviation of Set J?
Choices:
Divide each term by b/c
Multiply each term by −1/2
Divide each term by d/e
Multiply each term by c/e
Answer: B
Question: The population of a town is 7900. It decreases annually at the rate of 10% p.a. What was its population 2 years ago?
Choices:
9750
8500
9500
10000
Answer: A
Question: Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 9 sec. What is the length of the fast train?
Choices:
27
27 7/2
50
27 7/1
Answer: C
Question: When 0.252525...........is converted into a fraction, then find the result.
Choices:
25/99
25/999
25/9999
None
Answer: A
Question: To apply for the position of photographer at a local magazine, a photographer needs to include three or four photos in an envelope accompanying the application. If the photographer has pre-selected seven photos representative of her work, how many choices does she have to provide the photos for the magazine?
Choices:
60
64
70
75
Answer: C
Question: A can do a work in 7 days and B in 12 days. If they work on it together then in how many days required to complete the work?
Choices:
84/19
81/19
77/19
87/19
Answer: A
Question: Pat will walk from intersection A to intersection B along a route that is confined to the square grid of four streets and three avenues shown in the map above. How many routes from A to B can Pat take that have the minimum possible length?
Choices:
8
10
14
16
Answer: B
Question: A person can row upstream 2 kmph and downstream 8 kmph. Find the rate of the stream and person rate in still water.
Choices:
2,5
5,5
3,5
5,1
Answer: C
Question: Which of the following points is symmetric with y=x at (4,5)?
Choices:
(-2,1)
(2,1)
(-1,-2)
(5,4)
Answer: D
Question: In a certain game, each player scores either 2 or 5 points. If n players score 2 points and m players score 5 points and the total number of points scored is 55, what is the least possible difference between n and m.
Choices:
b.3
c.4
d.7
e.9
Answer: B
Question: Hendrix works 20 days a month at d dollars per day for m months out of the year. Which of the following represents his 5 year pay?
Choices:
100md
50md/6
20d/5m
20d/5
Answer: A
Question: On January 1, 2010, Dave invests 70% of his retirement savings in Antarctic largecap stocks, 20% in Antarctic midcaps, and 10% in Antarctic smallcaps. In 2010, largecaps rise 5%, midcaps rise 10%, and smallcaps rise 15% in the Antarctic stock market; however, in 2011, largecaps fall 10% and midcaps fall 20%, while smallcaps rise x% in Antarctica. If, on January 1, 2012, Dave has the same total amount of retirement savings as he did two years before, then x is between
Choices:
20 and 30
30 and 40
40 and 50
50 and 60
Answer: C
Question: A plane was originally flying at an altitude of x feet when it ascended 2,000 feet and then descended 5,000 feet. If the plane's altitude after these two changes was 1/2 its original altitude, then the solution of which of the following equations gives the plane's original altitude, in feet ?
Choices:
1/3*(x - 3000) = x
x - 3000 = 1/2*x
x - 7000 = 1/3*x
x - 3000 = 1/3*x
Answer: B
Question: If a light flashes every 6 seconds, how many times will it flash in 2/5 of an hour?
Choices:
211
241
271
301
Answer: B
Question: Find a if (ax3 + 3x2 - 3) and (2x3 - 5x + a) when divided by (x-4) leave same rmainder?
Choices:
1
4
5
6
Answer: A
Question: A student can select one of 9 different math book, one of 3 different chemistry book & one of 4 different science book.In how many different ways students can select book of math, chemistry & science.
Choices:
72
99
37
108
Answer: D
Question: Find the percentage gain if a shop owner sells 18 mtr of fabric and gains Cost Price of 3 meters?
Choices:
19.67%
11.67%
16.67%
15.67%
Answer: C
Question: By selling a book for 260, 20% profit was earned. What is the cost price of the book?
Choices:
B)216
C)230
D)235
E)240
Answer: A
Question: We have 6 people and 4 chairs. In how many ways chairs can be occupy?
Choices:
720
650
914
120
Answer: D
Question: Find the third proportional to 3 and 9?
Choices:
12
27
19
20
Answer: B
Question: A die is rolled twice. What is the probability of getting a sum equal to 9?
Choices:
2/9
1/3
1/9
1/6
Answer: C
Question: In the third quarter of 2015, Atlantis Law Firm had 20 lawyers and 400 cases. In the fourth quarter of 2015, the firm had 22 lawyers and 500 cases. By approximately what percent did the ratio of lawyers to cases decrease from the third quarter to the fourth quarter.
Choices:
11.0%
12.0%
13.0%
14.0%
Answer: B
Question: q, b, and c are positive integers. If q, b, and c are assembled into the six-digit number qbcqbc, which one of the following must be a factor of qbcqbc?
Choices:
13
5
3
none of the above
Answer: A
Question: In the xy-plane, the point (1, 3) is the center of a circle. The point (-2, 3) lies inside the circle and the point (1, -2) lies outside the circle. If the radius r of the circle is an integer, then r =
Choices:
5
4
3
2
Answer: B
Question: A does half as much work as Band C does half as much work as A and B together. If C alone can finish the work in 60 days, then together ,all will finish the work in :
Choices:
12 1/3 days
15 days
20 days
30 days
Answer: B
Question: Ginger over the course of an average work-week wanted to see how much she spent on lunch daily. On Monday and Thursday, she spent $5.43 total. On Tuesday and Wednesday, she spent $4.54 on each day. On Friday, she spent $7.89 on lunch. What was her average daily cost?
Choices:
b. $3.75
c. $3.90
d. $4.08
e. $4.48
Answer: D
Question: If A = {1, 3, 5}, B = {3, 5, 6}.Find A ∪ B
Choices:
{1,3,5,6}
{2,6}
{8,9}
{4,12}
Answer: A
Question: What is the relationship between the fractions 14/15 and 37/40.
Choices:
14/15 < 37/40
14/15 > 37/40
cannot bedetermined
None
Answer: B
Question: A man can row downstream at 18 kmph and upstream at 10 kmph. Find the speed of the man in still water and the speed of stream respectively?
Choices:
14, 9
14, 6
14, 4
14, 2
Answer: C
Question: The current in a river is 10 mph. A boat can travel 50 mph in still water. How far up the river can the boat travel if the round trip is to take 5 hours?
Choices:
120
96
85
150
Answer: A
Question: At 1:00, Annie starts to bicycle along a 45 mile road at a constant speed of 14 miles per hour. Thirty minutes earlier, Scott started bicycling towards Annie on the same road at a constant speed of 12 miles per hour. At what time will they meet?
Choices:
2:30
3:00
3:30
4:00
Answer: A
Question: Ten cards numbered 1 to 10 are placed in a box and then one card is drawn randomly. If it is known that the number on the drawn card is more than 5, what is the probability that it is an even number?
Choices:
2/5
3/5
2/7
3/10
Answer: B
Question: In how many different ways can the letters of the word 'AIRPORT' be arranged in such a way that the vowels always come together?
Choices:
B)720
C)480
D)5040
of these
Answer: A
Question: What is the least value of x, So that 2x5452 is divisible by 9
Choices:
8
9
3
0
Answer: D
Question: A shopkeeper has 280 kg of apples. He sells 85% of these at 20% profit and remaining 60% at 30% profit. Find his % profit on total.
Choices:
25%
26%
28%
35%
Answer: D
Question: If 5 women or 8 girls can do a work in 84 days.In how many days can 10 women and 5 girls can do the same work?
Choices:
32
34
35
cannot be determined
Answer: A
Question: What number is obtained by adding the units digits of 734^100 and 347^83?
Choices:
8
9
10
11
Answer: B
Question: A shopkeeper give 12% additional discount on the discounted price, after giving an initial discount of 20% on the labelled price of a radio. If the final sale price of the radio is Rs.704, then what is its labelled price?
Choices:
Rs.929.28
Rs.1000
Rs.1044.80
None
Answer: B
Question: Find the compound interest and the amount on Rs.8000 at 5% per annum for 3 years when C.I is reckoned yearly?
Choices:
1261
1689
1687
2679
Answer: A
Question: W and X started a business investing Rs. 30,000 and Rs. 6,000 respectively. Out of a total profit of Rs. 18,000, W’s share is :
Choices:
15000
16000
17000
18000
Answer: A
Question: What is the smallest number which when increased by 3 is divisible by 9, 35, 25 and 21?
Choices:
1572
1992
2122
2342
Answer: A
Question: 4 dice are thrown simultaneously on the board. Find the probability which show the same face?
Choices:
3/117
1/216
3/111
4/121
Answer: B
Question: I sold a book at a profit of 12%. Had I sold it for $18 more, 18% would have been gained. Find the cost price?
Choices:
$250
$300
$200
$180
Answer: B
Question: Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
Choices:
11.8 sec
27.7 sec
10.8 sec
17.8 sec
Answer: C
Question: In a group of 100 cars, 37 cars do not have air conditioning. If at least 51 cars have racing stripes, what is the greatest number of cars that could have air conditioning but not racing stripes?
Choices:
47
48
49
53
Answer: C
Question: If x < 0 and 0 < y < 1, which of the following has the greatest value H?
Choices:
(xy)^2
(x/y)^2
x^2/y
x^2*y
Answer: B
Question: If P's height is 40% less than that of Q, how much percent Q's height is more than that of P?
Choices:
66.66
70.05
76.66
89.99
Answer: A
Question: The average salary of the employees in a office is Rs.120/month.The avg salary of officers is Rs.420 and of non officers is Rs 110. If the no.of officers is 15,then find the No of nonofficers in the office.
Choices:
420
430
450
510
Answer: C
Question: The average mark of the students of a class in a particular exam is 80. If 5 students whose average mark in that exam is 40 are excluded, the average mark of the remaining will be 90. Find the number of students who wrote the exam.
Choices:
77
25
77
62
Answer: B
Question: The age of father 8 years ago was thrice the age of his son. Five years hence, father's age will be twice that of his son. The ratio of their present ages is:
Choices:
37 : 21
27 : 21
47 : 21
47 : 31
Answer: C
Question: How many even integers n, such that 20<=n<=200 are of the form 3k+4, where k is any natural number?
Choices:
30
34
38
42
Answer: A
Question: 50% of a number is more than 20% of 650 by 190. Find the number?
Choices:
640
800
267
121
Answer: A
Question: A and B can finish 5 piece of work in 10 days each. C can do 40% faster than A and B.Approximately how many days would it take to finish 51 piece of work with all three working simultaneously?
Choices:
42
46
50
51
Answer: D
Question: In a certain candy store, 22% of the customers are caught sampling the candy and are charged a small fine, but 5% of the customers who sample the candy are not caught. What is the total percent of all customers who sample candy?
Choices:
23%
24%
25%
34%
Answer: A
Question: 1.	How much more would Rs.24000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?
Choices:
A)Rs.6,338.40
C)Rs.6,340.40
D)Rs.6,341.40
E)Rs.6,342.40
Answer: A
Question: A bag contains 6 black and 8 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
Choices:
3/9
4/7
2/7
1/3
Answer: A
Question: Benny goes to the market for buying some apples to be distributed between her nine kids equally.She takes 360 dollars with her .The cost of each apple is 4 dollars .How many apples does she buy to share them equally between her eighteen kids?
Choices:
9
5
7
10
Answer: B
Question: Four person are chosen at random form a group of 3 men, 2 women and 4 children. The chance that exactly 2 of them are children, is:
Choices:
10/21
32/45
13/98
43/21
Answer: A
Question: 3. How many numbers that are not divisible by 6 divide evenly into 264,600?
Choices:
36
51
63
72
Answer: C
Question: On the independence day, bananas were be equally distributed among the children in a school so that each child would get two bananas. On the particular day 390 children were absent and as a result each child got two extra bananas. Find the actual number of children in the school?
Choices:
780
197
287
720
Answer: A
Question: Johnson has a corporate proposal. The probability that vice-president Adams will approve the proposal is 0.5. If VP Adams approves the proposal, then the probability that vice-president Baker will approve the proposal is 0.8. If VP Adams doesn’t approve the proposal, then the probability that vice-president Baker will approve the proposal is 0.3. What is the probability that at least one of the two VPs, approves Johnson’s proposal?
Choices:
0.7
0.28
0.48
0.72
Answer: A
Question: A certain Social Security recipient will receive an annual benefit of $12,000 provided he has annual earnings of $9,360 or less, but the benefit will be reduced by $1 for every $3 of annual earnings over $9,360. What amount of total annual earnings would result in a 65 percent reduction in the recipient's annual Social Security benefit? (Assume Social Security benefits are not counted as part of annual earnings.)
Choices:
$17,360
$18,000
$21,960
$27,360
Answer: C
Question: x/(y/z)
In the expression above, x, y, and z are different numbers and each is one of the numbers 1, 5, or 6. What is the least possible value of the expression?
Choices:
2/15
5/6
3/10
6/6
Answer: B
Question: The ratio of the present ages of a man and his wife is 7 : 6. Which of the following can't be a possible ratio of their ages 40 years ago?
Choices:
6: 7
7:7
8: 7
9: 7
Answer: C
Question: Each of the integers from 1 to 15 is written on the a seperate index card and placed in a box. If the cards are drawn from the box at random without replecement, how many cards must be drawn to ENSURE that the product of all the integers drawn is even?
Choices:
9
11
10
3
Answer: A
Question: The present ages of three persons are in proportions 4:7:9. Eight years ago, the sum of their ages was 56. Find their present ages.
Choices:
16, 28, 36
8, 20, 28
20, 35, 45
None of these
Answer: A
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
52:28
52:19
52:20
Answer: A
Question: A van takes 6 hours to cover a distance of 540 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?
Choices:
60 Kmph
70 Kmph
80 Kmph
90 Kmph
Answer: A
Question: Which of the following is the product of two integers whose sum is 15?
Choices:
-28
12
26
32
Answer: C
Question: In the quiet town ofNothintodothere are 600 inhabitants, 200 are unemployed and 300 are somnambulists. If half of the somnambulists are unemployed, how many are employed and are not somnambulists?
Choices:
100.
150.
250.
300.
Answer: C
Question: The ratio of the adjacent angles of a parallelogram is 8 : 10. Also, the ratio of the angles of quadrilateral is 5 : 6 : 7 : 12. What is the sum of the smaller angle of the parallelogram and the second largest angle of the quadrilateral?
Choices:
228°
156°
224°
164°
Answer: D
Question: 617 x 617 + 583 x 583=?
Choices:
720578
80698
81268
None of them
Answer: A
Question: What amount does Kiran get if he invests Rs.8000 at 10% p.a. compound interest for two years, compounding done annually?
Choices:
Rs.9678
Rs.9688
Rs.9678
Rs.9680
Answer: D
Question: 5 men and 12 boys finish a piece of work in 4 days, 7 men and 6 boys do it in 5 days. The ratio between the efficiencies of a man and boy is?
Choices:
2:1
2:3
6:5
5:6
Answer: C
Question: Both Robert and Alice leave from the same location at 7:00 a.m. driving in the same direction, but in separate cars. Robert drives 50 miles per hour while Alice drives 80 miles per hour. After 5 hours, Alice’s car stops. At what time will Robert’s car reach Alice’s car?
Choices:
2 p.m.
4 p.m.
8 p.m.
9 p.m.
Answer: A
Question: In a game, a player can win by getting 3 consecutive tails in four throws of a coin. What is the probability of winning if the player gets a tail on the first throw?
Choices:
1/4
1/2
3/8
5/8
Answer: A
Question: Two trains each of which is 100 m long moving in opposite direction to one another cross each other taking 8 seconds. If speed of one train is twice the speed of other
train find the speed of the faster train.
Choices:
60 km/hr
98 km/hr
9 km/hr
77 km/hr
Answer: A
Question: Into a room you store 38 black bottles and 4 green bottles, and you turn off the light. If you ask to someone look for 2 bottles without turn on the light, what is the probability of both the selected bottles will be green?
Choices:
2/574
1/287
2/287
3/287
Answer: C
Question: What is the probability that Company G's advertisement will be one of the first two be shown during the first commercial break?
Choices:
1 / 30
1 /15
2 / 15
4 /15
Answer: C
Question: A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, the how old is B?
Choices:
8
9
10
11
Answer: C
Question: A and B can finish a work in 16 days while A alone can do the same work in 24 days. In how many days B alone will complete the work?
Choices:
48 days
22 days
77 days
55 days
Answer: A
Question: A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs.When the smaller wheel has made 21 revolutions,then the number of revolutions made by the larger wheel is :
Choices:
9
12
49
59
Answer: A
Question: A, B and C play a cricket match. The ratio of the runs scored by them in the match is A:B = 2:3 and B:C = 2:5. If the total runs scored by all of them are 75, the runs scored by B are?
Choices:
18
20
25
30
Answer: A
Question: If the Average of 10 consecutive integers is 21.5 then the 10th integer is :-
Choices:
20
23
26
25
Answer: C
Question: A car is bought for Rs.60000/- and sold at a loss of 30% find its selling price?
Choices:
s.40000/-
s.48080/-
s.45590/-
s.42000/-
Answer: D
Question: The current in a river is 3 mph. A boat can travel 21 mph in still water. How far up the river can the boat travel if the round trip is to take 10 hours?
Choices:
88 miles
96 miles
102.8 miles
112 miles
Answer: C
Question: Solve below question 2x + 1 = -23
Choices:
-9
-12
-4
12
Answer: B
Question: From January 1, 2015, to January 1, 2017, the number of people enrolled in health maintenance organizations increased by 11 percent. The enrollment on January 1, 2017, was 45 million. How many million people, to the nearest million, were enrolled in health maintenance organizations on January 1, 2015 ?
Choices:
39
40
41
42
Answer: C
Question: What is the probability that when a hand of 5 cards is drawn from a well shuffled deck of 52 cards,
it contains all Queens?
Choices:
192/379015
193
Cannot be determined
None
Answer: A
Question: The age of father 10 years ago was thrice the age of his son. Ten years hence, father's age will be twice that of his son. The ratio of their present ages is:
Choices:
7 : 3
7 : 5
7 : 65
7 : 9
Answer: A
Question: The product of ages of Harshit and Haritika is 240. If Hritika would have been twice her age she will be 4 years elder to Harshit. What is Haritika's age now?
Choices:
24 years
12 years
10 years
15 years
Answer: B
Question: A bag consists of 20 marbles, of which 6 are blue, 9 are red, and the remainder are white. If Lisa is to select a marble from the bag at random, what is the probability that the marble will be red or white?
Choices:
7/10
1/4
1/8
1/16
Answer: A
Question: The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is?
Choices:
156 m
245 m
156 m
156 m
Answer: B
Question: How many integers are there between 35 and 108, inclusive?
Choices:
55
56
57
74
Answer: D
Question: On one side of a coin there is the number 0 and on the other side the number 1. What is the probability that the sum of three coin tosses will be 0 if a 1 is the value of the first coin flip?
Choices:
0/8.
1/5.
3/8.
1/3.
Answer: A
Question: In a certain economy, C represents the total amount of consumption in millions of dollars, Y represents the total national income in millions of dollars, and the relationship between these two values is given by the equation C=90+9Y/11. If the total amount of consumption in the economy increases by 99 million dollars, what is the increase in the total national income, in millions of dollars?
Choices:
22
99
121
171
Answer: C
Question: The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 20 kg. What is the weight of the new person?
Choices:
65
85
40
80
Answer: C
Question: How much interest can a person get on Rs. 8200 at 17.5% p.a. simple interest for a period of two years and six months?
Choices:
3587.52
3587.5
3587.59
3582.52
Answer: B
Question: A company wants to spend equal amounts of money for the purchase of two types of computer printers costing $350 and $200 per unit, respectively. What is the fewest number of computer printers that the company can purchase?
Choices:
10
11
12
13
Answer: B
Question: Which of the following equations is NOT equivalent to 4x^2 = a^2 - 9 ?
Choices:
4x^2 - a^2 = -9
4x^2= (a + 3)(a - 3)
2x = a - 3
x^2 = (a^2-9)/4
Answer: C
Question: The table shows the number of calls received by each of five operators during each of 5 one-hour periods. For which operator was the standard deviation of the numbers of calls received during these 5 periods the least?
Choices:
Operator A: 3, 7, 7, 3, 4
Operator C: 8, 2, 5, 5, 6
Operator D: 6, 4, 4, 6, 6
Operator E: 3, 4, 5, 8, 7
Answer: A
Question: 9.6 , 9.8 , 9.9 , 9.9 , 10.0 , 10.1 , 10.2 , 10.5
The mean and the standard deviation of the 8 numbers shown above is 10 and 0.255 respectively. What percent of the 8 numbers are within 1 standard deviation of the mean?
Choices:
75%
80%
85%
70%
Answer: A