antoine-444/aqua_rat_dataset huggingface dataset:
Question: Two friends Simpson & Stewie decide to get together
So they start driving cars towards each other. They plan to meet halfway. Each is riding at 6 Km/hr. They live 36 kms apart. Stewie has a pet "eagle" and it starts flying the instant they start traveling. The eagle flies back and forth at 18 Km/hr between them until the two meet.
How many kms does the eagle travel ?
Choices:
54 kms
34 kms
24 kms
14 kms
Answer: A
Question: In the manufacture of a certain product, 8 percent of the units produced are defective and 5 percent of the defective units are shipped for sale. What percent of the units produced are defective units that are shipped for sale?
Choices:
0.4%
0.8%
1.2%
2.0%
Answer: A
Question: How many five digit numbers can be formed using the digits {1, 3, 4, 5, 7,9}(repetition of digits is not allowed)?
Choices:
720
278
279
274
Answer: A
Question: ABCD IS A square AEGF IS A rectangle..such that the rectangle shares 25% of the area of the suare ALSO AE lies ON THE LINE AB and AG lies on segment of AD.if the square shares half the area of the rectangle what is the ratio AE:AG?
Choices:
8:1
4:1
3:1
1:3
Answer: A
Question: Fill in the missing number:
18 14 12 ? 10.5 10.25
Choices:
11
10.2
10.5
10.25
Answer: A
Question: Six people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased by:
Choices:
1/5
3/5
4/7
None of them
Answer: A
Question: A man sells an article at a profit of 25%. If he had bought it at 20% less and sold it for Rs.6.30 less, he would have gained 30%. Find the cost of the article.
Choices:
30
50
60
70
Answer: A
Question: A drawer contains red socks, black socks, and white socks. What is the least number of socks that must randomly be taken out of the drawer to be sure of having four pairs of socks? (A pair is two socks of the same color.)
Choices:
10
12
14
1
Answer: A
Question: A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 4 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold?
Choices:
480 liters
720 liters
800 liters
820 liters
Answer: A
Question: A city council will select 2 of 9 available firefighters and 1 of 6 available police officers to serve on an advisory panel. How many different groups of 3 could serve on the panel?
Choices:
72
144
216
432
Answer: C
Question: Of two mixers and one T.V cost Rs.7000, while two T.Vs and one mixer cost Rs.9800, the value of one T.V is :
Choices:
Rs.2100
Rs.4200
Rs.8400
None
Answer: B
Question: Jake remembers only the last three letters of his four-letter Klingon name. If he is sure that the first letter is neither "N" nor "Z", and assuming that there are only 10 letters in the Klingon alphabet, what is the probability that he will give the correct name when asked for it by the space attendant?
Choices:
9/100
1/8
4/5
9/10
Answer: B
Question: A, B and C rents a pasture for Rs.957. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should C pay?
Choices:
289
297
255
552
Answer: B
Question: A rectangular grass field is 75 m * 55 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.2 per sq m?
Choices:
675, Rs.1350
1350, Rs.675
1450, Rs.675
None
Answer: A
Question: The least number which when increased by 5 each divisible by each one of 24, 32, 36 and 54 is :
Choices:
859
869
4320
None of these
Answer: A
Question: The length of the bridge, which a train 170 meters long and travelling at 45 km/hr can cross in 30 seconds, is?
Choices:
205 m
245 m
156 m
156 m
Answer: A
Question: Let a be a positive integer. If t is divisible by 2^a and t is also divisible by 3^(2a), then it is possible that t is NOT divisible by
Choices:
3 × 2^a
2 × 3^(2a)
6^a
6^(2a)
Answer: D
Question: Two pipes can fill a tank in 10 and 12 hours, while third pipe will make the tank empty in 20 hours. If all three pipes operate simultaneously. In how many hours the tank will be filled ?
Choices:
7.5 Hours
8.5 Hours
9.5 Hours
6.5 Hours
Answer: A
Question: 0.0003 x 0.3 = ?
Choices:
9.0e-05
0.09
0.009
9.0
Answer: A
Question: A rectangular table seats 7 people on each of two sides, with every person directly facing another person across the table. If fourteen people choose their seats at random, what is probability that any two of them directly face other?
Choices:
1/13
1/7
15/56
4/7
Answer: A
Question: By selling a house for Rs.45000, it was found that 1/8 of the outlay was gained, what ought the selling to price to have been in order to have lost 5 p.c?
Choices:
38000
27888
27799
27761
Answer: A
Question: Last year’s receipts from the sale of greeting cards during the week before Mother’s Day totaled $175 million, which represented 10 percent of total greeting card sales for the year. Total greeting card sales for the year totaled how many million dollars?
Choices:
2,100
1,890
1,701
1,750
Answer: D
Question: A shopkeeper sold an book offering a discount of 5% and earned a profit of 42.5%. What would have been the percentage of profit earned if no discount was offered?
Choices:
120
130
110
150
Answer: D
Question: If the cost price of 20 articles is equal to the selling price of 25 articles, what is the % profit or % loss made by the merchant?
Choices:
25% profit
20% loss
20% profit
5% profit
Answer: B
Question: A seller has 1000kg of rice part of which he sells at 8% profit and the rest at 18% profit. He gains 14%. The quantity sold at 18% profit is?
Choices:
300 kg
400 kg
600 kg
800 kg
Answer: C
Question: The simple interest on a sum of money will be Rs.600 after 10 years. If the principal is trebled after 5 years what will be the total interest at the end of the tenth year?
Choices:
2888
1200
2699
2771
Answer: B
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
4
More than four
Answer: B
Question: PR is tangent to a circle at point P. Q is another point on circle such that PQ is diameter of circle and RQ cuts circle at M. if radius of circle is 4 units and PR=6units. find ratio of triangle PMR to PQR.
Choices:
3/5
13/20
18/25
18/26
Answer: B
Question: Find the day of the week on 16th July, 1776.
Choices:
Tuesday
Monday
Thursday
None of these
Answer: A
Question: A gambler has won 40% of his 40 poker games for the week so far. If, all of a sudden, his luck changes and he begins winning 70% of the time, how many more games must he play to end up winning 60% of all his games for the week?
Choices:
60
70
80
90
Answer: C
Question: What will be the compound interest on Rs. 25000 aŌer 3 years at the rate of 12 % per annum
Choices:
Rs 10123.20
Rs 10123.40
Rs 10123.50
None of these
Answer: A
Question: Excluding stoppages, the average speed of a bus is 60 km/hr and including stoppages, the average speed of the bus is 40 km/hr. For how many minutes does the bus stop per hour?
Choices:
18 min
16 min
20 min
26 min
Answer: C
Question: Which of the following is a perfect square?
.
Choices:
961
1664
2509
100000
Answer: A
Question: The difference between the local value and the face value of 3 in the numeral 62975143 is
Choices:
2
1
0
5
Answer: C
Question: 2015.98 + 1275.087 – 175.98 × 0.95 + 988.09 = ?
Choices:
4004
4404
4044
4055
Answer: A
Question: Find a positive number which when increased by 17 is equal to 60 times the reciprocal of the number
Choices:
15
12
8
3
Answer: D
Question: A can do a piece of work in 30 days. He works at it for 5 days and then B finishes it in 20 days. In what time can A and B together it?
Choices:
13 1/3 days
23 1/3 days
33 1/3 days
53 1/7 days
Answer: A
Question: When a 192 meters long rod is cut down into small pieces of length 3.2 meters each. Then how many pieces are available ?
Choices:
68
62
67
69
Answer: C
Question: The length of one pair of opposite sides of a square is increased by 5 cm on each side the ratio of the length and the breadth of the newly formed rectangle becomes 3 : 2. What is the area of the original square?
Choices:
81 sq.cm
120 sq.cm
225 sq.cm
None of these
Answer: D
Question: There are 60 doors marked with numbers 1 to 60. There are 60 individuals marked 1 to 60.
An operation on a door is defined as changing the status of the door from open to closed or vice versa. All the doors are closed to start with. One at a time, one randomly chosen individual goes and operates the doors. The individual however operates only those doors which are a multiple of the number he/she is carrying. For example, the individual marked with number 5 operates the doors marked with 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, and 60. If every individual in the group gets one turn, then how many doors are open at the end?
Choices:
2
5
7
9
Answer: C
Question: A ferry can transport 100 tons of vehicles. Automobiles range in weight from 1,800 to 3,200 pounds. What is the greatest number of automobiles that can be loaded onto the ferry?
Choices:
120
110
100
90
Answer: B
Question: The sum of the present age of Henry and Jill is 40. What is their present ages if 11 years ago Henry was twice the age of Jill?
Choices:
and 24
and 23
and 29
of these
Answer: B
Question: A train covers a distance of 12 km in 10 minutes. If it takes 6 seconds to pass a telegraph post, then the length of the train is :
Choices:
120 m
240 m
300 m
None
Answer: A
Question: The radius of a cone is 14 m, slant height is 20 m. Find the curved surface area?
Choices:
550
110
880
330
Answer: C
Question: If a and b are multiples of 5 then which are all the multiples of 5
1) a/b
2) a*b
3) a+b
4) a-b
5) a^b
Choices:
all of these
1,3
2,3,4,5
1,2,3,5
Answer: C
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:
210
245
230
265
Answer: B
Question: If k is the sum of the digits of integer m, and m=13n, where n is an integer, which of the following must be true?
Choices:
The sum of the digits of k is divisible by 3
m is a multiple of 10k
k is divisible by 2
value of k contains prime number also
Answer: D
Question: If x,y ,and z are positive real numbers such that x+y-z =50 , y-z+x =60 , and z-x+y = 80, then find the z value?
Choices:
20
5
15
25
Answer: B
Question: At what approximate time between 4 and 5 am will the hands of a clock be at right angle?
Choices:
4 : 38 am
4 : 35 am
4 : 39 am
None of these
Answer: A
Question: A can do a piece of work in 90 days & Y can do it in 80 days. They began working together but A leaves after some days and then B completed the remaining work in 46 days. The number of days after which A left the work was?
Choices:
11 days
16 days
17 days
18 days
Answer: B
Question: The speed of a car is 90 km in the first hour and 30 km in the second hour. What is the average speed of the car?
Choices:
60 kmph
75 kmph
85 kmph
90 kmph
Answer: A
Question: Two persons start at the same point, walk in opposite directions with 7 km/hr and 4.5 km/hr respectively.
What is the distance separated after 2 and half hrs?
Choices:
27.250 km
28.750 km
29.250 km
25.250 km
Answer: B
Question: John can complete a given task in 20 days. Jane will take only 12 days to complete the same task. John and Jane set out to complete the task by beginning to work together. However, Jane was indisposed 4 days before the work got over. In how many days did the work get over from the time John and Jane started to work on it together?
Choices:
10
8
7.5
3.5
Answer: A
Question: 1, 5, 13, 25, 41, ?
Choices:
61
74
57
32
Answer: A
Question: B and C start a business with Rs.2000 and Rs.10000 respectively. Hoe should they share their profits at the end of one year?
Choices:
1:3
1:4
1:5
2:1
Answer: C
Question: A merchant marks his goods up in such a way that the profit made on selling 30 articles is equal to the cost price of 20 articles. What is the % Q profit made by the merchant?
Choices:
66.67 %
200 %
100 %
33.33 %
Answer: A
Question: Sreenivas sells a table to Shiva at 10% profit and Shiva sells it to Mahesh at 10% loss. At what price did Sreenivas purchase the table if Mahesh paid Rs. 2178?
Choices:
Rs. 2150
None of these
Rs. 2200
Cannot be determined
Answer: C
Question: A dog takes 3 leaps for every 5 leaps of a hare. If one leap of the dog is equal to 3 leaps of the hare,
the raƟo of the speed of the dog to that of the hare is
Choices:
9:5
8:5
9:2
None of these
Answer: A
Question: 5 z – 3 < 3 z + 4, which of the following cannot be a value of z3z3 ?
Choices:
1
8
27
6
Answer: C
Question: Two numbers N and 16 have LCM = 48 and GCF = 8. Find N.
Choices:
24
36
48
52
Answer: A
Question: A can do a piece of work in 10 days and B can do the same work in 12 days. A and B worked together for 2 days. How many more days are required to complete the remaining work if they work together?
Choices:
3 (7/11) days
3 (5/11) days
2 (5/11) days
3 (2/11) days
Answer: B
Question: What percent of a week is 3 days?
Choices:
45%
42,85%
23,33%
40%
Answer: B
Question: The price of lunch for 14 people was $207 including a 15% gratuity for service. What was the average price per person, EXCLUDING the gratuity?
Choices:
12.85
13.8
14
15.87
Answer: A
Question: A man buys Rs. 20 shares paying 9 % dividend. The man wants to have an interest of 12% on his money.The market value of each share is :
Choices:
Rs. 15
Rs. 18
Rs. 21
None
Answer: A
Question: A certain number of machines can do a work in 75 days. If there were 6 machine more it could be finished in 15days less. How many machines are there?
Choices:
24
25
30
32
Answer: A
Question: A and B walk around a circular track. They start at 9 a.m. from the same point in the opposite directions. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. How many times shall they cross each other before 12:00 P.m.?
Choices:
27
26
25
20
Answer: D
Question: Diesel costs Rs.4per lit and petrol costs 5.63 per litre. If the price of diesel rise by 10% a month and the price of petrol is unchanged.How many months will it take until a litre of Diesel costs more than a litre of petrol.
Choices:
5 months
6 months
4 months
2 months
Answer: C
Question: The average of first seven multiples of 5 is:
Choices:
20
15
8
10
Answer: A
Question: What day of the week does May 28 2006 fall on
Choices:
Monday
Sunday
Thursday
Friday
Answer: B
Question: A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is?
Choices:
298
269
150
277
Answer: C
Question: The ratio of the present ages of a man and his wife is 6 : 5. Which of the following can't be a possible ratio of their ages 35 years ago?
Choices:
5: 6
6:6
7: 6
8: 6
Answer: C
Question: A train 110 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
Choices:
6
5
9
8
Answer: A
Question: The average height of 40 girls out of a class of 50 is 169 cm. and that of the remaining girls is 167 cm. The average height of the whole class is :
Choices:
149.2 cms
168.6 cms
159.2 cms
142.5 cms
Answer: B
Question: The average monthly salary of 20 employees in an organisation is Rs. 1500. If the manager's salary is added, then the average salary increases by Rs. 100. What is the manager's monthly salary ?
Choices:
3600
88798
2789
2891
Answer: A
Question: If 10 is added to thrice a number and this sum is multiplied by 5, the result is the same as if the number is multiplied by 5 and 13 is added to the product. What is the number?
Choices:
-3.7
-5
-9
11
Answer: A
Question: If A's salary is 25% higher than B's salary,then how much percent is B's salary lower than A's?
Choices:
20%
25%
30%
10%
Answer: A
Question: If A lends Rs.3500 to B at 10% per annum and B lends the same sum to C at 11.5% per annum then the gain of B in a period of 3 years is?
Choices:
157.5
157.57
157.59
157.52
Answer: A
Question: A and B finish the job in 15 days.while A,B and C can finish it in 10 days . C alone will finish the job in
Choices:
30 days
60 days
70 days
50 days
Answer: A
Question: A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 550 m long?
Choices:
72sec
74sec
76sec
79sec
Answer: D
Question: A certain company reported that the revenue on sales increased 60 % from 2000 to 2003, and increased 80 % from 2000 to 2005. What was the approximate percent increase in revenue for this store from 2003 to 2005?
Choices:
40 %
35 %
32 %
13 %
Answer: D
Question: daal is now being sold at rate Rs.20 a kg.During last month its rate was Rs 16 per kg.By How reduce percent should a family its consumption so as to keep the expenditure fixed?
Choices:
20%
30%
40%
50%
Answer: A
Question: From the following choice, what is the equation of a line whose x-intercept is half as that of line 3x+4y=12 and y-intercept twice of same
Choices:
3x+y=6
3x+y=4
3x+y=3
2x+y=6
Answer: A
Question: Sachin is younger than Rahul by 7 years. If the ratio of their ages is 5:12, find the age of Sachin
Choices:
24.8
2
3
5
Answer: D
Question: A, B and C enter into a partnership. They invest Rs. 40,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. IN what ratio will the profit be shared at the end of 3 years?
Choices:
3:4:7
3:4:4
3:4:2
3:4:1
Answer: A
Question: If b> 0, a> 0, and (b^2)a= b,then which of the following MUST equal b?
Choices:
B.1/a
A
A^2
A^2 – 2b+1
Answer: A
Question: If a train, travelling at a speed of 18 kmph, crosses a pole in 5 sec, then the length of train is?
Choices:
25 m
50 m
125 m
75 m
Answer: A
Question: In one hour, a boat goes 15 km/hr along the stream and 11 km/hr against the stream. The speed of the boat in still water (in km/hr) is:
Choices:
13 kmph
14 kmph
15 kmph
16 kmph
Answer: A
Question: In a class of 140 students, 60% of them passed. By what percent is the number of students who passed more than the number of failed students?
Choices:
90%
72%
50%
53%
Answer: C
Question: Train X crosses a stationary train Y in 60 seconds and a pole in 25 seconds with the same speed. The length of the train X is 300 m. What is the length of the stationary train Y?
Choices:
420 m
167 m
176 m
168 m
Answer: A
Question: A batsman makes a score of 66 runs in the 17th inning and thus increases his averages by 3. What is his average after 17th inning?
Choices:
31
27
29
18
Answer: D
Question: In what ratio must wheat at Rs.3.20 pe rkg be mixed with wheat at Rs.2.90 per kg so that the mixture be worth Rs.3.08 per kg
Choices:
3:2
3:5
3:7
2:3
Answer: A
Question: Timothy leaves home for school, riding his bicycle at a rate of 6 miles per hour. Fifteen minutes after he leaves, his mother sees Timothy’s math homework lying on his bed and immediately leaves home to bring it to him. If his mother drives at 36 miles per hour, how far (in terms of miles) must she drive before she reaches Timothy?
I think is a 700 level problem but I tag it as 600/700, let me know. Either way I hope in an explanationThanks
Choices:
9/5
4
9
12
Answer: A
Question: A man can row his boat with the stream at 6 km/h and against the stream in 4 km/h. The man's rate is?
Choices:
1 kmph
3 kmph
7 kmph
8 kmph
Answer: A
Question: There is a sequence A(n) such that A(n+1)=2A(n)-1 and A(1)=3, where n is a positive integer. What is the value of A(76)-A(75)?
Choices:
2^23+1
2^23+1
2^24
2^75
Answer: D
Question: By selling a house for Rs.45000, it was found that 1/8 of the outlay was gained, what ought the selling to price to have been in order to have lost 7 p.c?
Choices:
29000
37000
37200
40000
Answer: C
Question: The G.C.D. of 1.08, 0.36 and 0.6 is:
Choices:
0.9
0.12
0.108
0.118
Answer: B
Question: In order to fence a square Manish fixed 48 poles. If the distance between two poles, is 4 metres then what will be the area of the square so formed?
Choices:
2600 cm2
2500 cm2
3025 cm2
2304 cm2
Answer: D
Question: If 0.75 : x :: 3 : 8, then x is equal to:
Choices:
B)2.2
C)1.25
D)1.3
E)2.0
Answer: D
Question: The cost of 3 kg of sugar is $90. What will the cost of 8 kg of sugar be?
Choices:
140
180
220
240
Answer: D
Question: How many 3-digit numbers are completely divisible 6 ?
Choices:
B)150
C)200
D)250
E)300
Answer: A
Question: Nitin borrowed some money at the rate of 4% p.a. for the first three years, 9% p.a. for the next five years and 13% p.a. for the period beyond eight years. If the total interest paid by him at the end of eleven years is Rs. 8160, how much money did he borrow?
Choices:
Rs. 8014.54
Rs. 8000
Rs. 8242.42
Rs. 8542.54
Answer: C
Question: The Average of 11 results is 16, if the average of the 1st 6 results is 58 & that of the last 63. Find the 6th result.
Choices:
59
62
66
58
Answer: C
Question: A certain country had a total annual expenditure of $4.8 x 10^11 last year. If the population of the country was 240 million last year, what was the per capita expenditure?
Choices:
$1,000
$2,000
$3,000
$5,000
Answer: B
Question: If Q is an odd number and the median of Q consecutive integers is 140, what is the largest of these integers?
Choices:
(Q - 1)/2 + 140
Q/2 + 140
(Q + 139)/2
(Q + 140)/2
Answer: A
Question: The ratio of two quantities is 1 to 4. If each of the quantities is increased by 5, what is the ratio of these two new quantities?
Choices:
8/9
18/19
23/24
It cannot be determined from the information given
Answer: D
Question: If the sum of 7 consecutive integers is x, which of the following must be true?
I. x is an even number
II. x is an odd number
III. x is a multiple of 7
Choices:
III only
II only
I and III
II and III
Answer: A
Question: SCORE INTERVAL----------------NUMBER OF SCORES
50-59-------------------------- 2
60-69-------------------------- 4
70-79--------------------------10
80-89--------------------------27
90-99--------------------------18
The table above shows the distribution of test scores for a group of management trainees. Which score interval contains the median of the 61 scores?
Choices:
32
31th(80-89)
34
36
Answer: B
Question: By selling 18 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?
Choices:
12
6
4
9
Answer: A
Question: The age of man is three times the sum of the ages of his two sons.Five years hence,his age will be double of the sum of the ages of his sons.The father’s present age is :
Choices:
45 years
50 years
55 years
75 years
Answer: A
Question: How many cubes of 10 cm edge can be put in a cubical box of 1 m edge?
Choices:
10
100
1000
None
Answer: C
Question: Paulson spends 75% of his income. His income is increased by 20% and he increased his expenditure by 10%.Find the percentage increase in his savings
Choices:
35%
40%
45%
50%
Answer: D
Question: 8 men, working 8 hours a day can complete a work in 18 days. How many hours a day must 12 men work to complete the same work in 12 days?
Choices:
7
8
9
10
Answer: B
Question: There are 17 teams in the hockey league, and each team faces all the other teams 10 times each. How many games are played in the season?
Choices:
1150
1360
1540
1720
Answer: B
Question: What will come in place of the x in the following Number series? 73205, 6655, 605, 55, x
Choices:
73205
75653
86554
87565
Answer: A
Question: A can do a piece of work in 40 days; B can do the same in 30 days. A started alone but left the work after 10 days, then B worked at it for 10 days. C finished the remaining work in 10 days. C alone can do the whole work in?
Choices:
24
66
21
11
Answer: A
Question: From a pack of cards, two cards are drawn one after the other, with replacement. What is the probability that the first card is a club and the second card is a king?
Choices:
1/26
5/26
1/52
17/52
Answer: C
Question: The ages of Ashley and Mary are in the ratio 4:7. The sum of their ages is 22. Find the ages of Ashley .
Choices:
8
9
10
11
Answer: A
Question: The average (arithmetic mean) of y numbers is x. If 25 is added to the set of numbers, then the average will be x - 5. What is the value of y in terms of x ?
Choices:
x/6 - 5
x/7 - 5
x/5 - 7
x/5 - 6
Answer: D
Question: A certain quantity of 45% solution is replaced with 25% solution such that the new concentration is 35%. What is the fraction of the solution that was replaced?
Choices:
1/3
1/2
2/3
3/4
Answer: B
Question: 4 professors and 6 students are being considered for membership on a supervisory committee which must consist of 2 people. If the committee has to include at least 2 professor, how many ways can this committee be formed?
Choices:
60
72
80
64
Answer: D
Question: A man sells a horse for Rs.1200 and loses something, if he had sold it for Rs.1500, his gain would have been trible the former loss. Find the cost price of the horse?
Choices:
800
875
1000
900
Answer: B
Question: Peter read Q books last year, and Nikki read N books last year. If Peter read 35 more books than Nikki last year, which of the following reflects this relationship?
Choices:
Q < N − 35
Q > N + 35
Q = N − 35
Q = N + 35
Answer: D
Question: A 4-person task force is to be formed from the 4 men and 3 women who work in Company G's human resources department. If there are to be 2 men and 2 women on this task force, how many different task forces can be formed?
Choices:
18
35
56
144
Answer: A
Question: {-10, -6, -5, -4, -2.5, -1, 0, 2.5, 4, 6, 7, 10}
A number is to be selected at random from the set above. What is the probability that the number will be a solution to the equation (x-4)(x+9)(2X+5) = 0?
Choices:
1/12
1/4
1/3
1/2
Answer: A
Question: Set M contains numbers that satisfy the condition that, if integer x is in the set then x+3 will also be in the set M. If -3 is one of the value in the set, which of the following numbers must also be present in the set M.
I. 3
II. -10
III.1
Choices:
I only
I and II only
II and III only
I, II and III
Answer: A
Question: If a choir consists of 5 boys and 7 girls, in how many ways can the singers be arranged in a row, so that all the boys are together? Do not differentiate between arrangements that are obtained by swapping two boys or two girls.
Choices:
30
24
11
8
Answer: D
Question: A, Band C enter into partnership. A invests 3 times as much as B and B invests two-third of what C invests. At the end of the year, the profit earned is Rs. 4400. What is the share of B ?
Choices:
800
1400
1200
None of them
Answer: A
Question: A farmer spent $35 on feed for chickens and goats. He spent 40% money on chicken feed, which he bought at a 50% discount off the full price, and spent the rest on goat feed, which he bought at full price. If the farmer had paid full price for both the chicken feed and the goat feed, what amount would he have spent on the chicken feed and goat feed combined?
Choices:
$49
$39.20
$39.50
$40.60
Answer: A
Question: What is the range of all the roots of |x^2 - 5| = x ?
Choices:
4
2
1
0
Answer: A
Question: What is the simple interest rate per annum on an investment that took up to 12.5 years to double its initial amount?
Choices:
6
12
4
8
Answer: D
Question: The speed of a boat in upstream is 60 kmph and the speed of the boat downstream is 80 kmph. Find the speed of the boat in still water and the speed of the stream?
Choices:
10 kmph
19 kmph
17 kmph
14 kmph
Answer: A
Question: A certain pair of used shoes can be repaired for $13.50 and will last for 1 year. A pair of the same kind of shoes can be purchased new for $32.00 and will last for 2 years. The average cost per year of the new shoes is what percent greater than the cost of repairing the used shoes?
Choices:
14.85
21.3
16.5
18.51
Answer: D
Question: How many cubes of 5cm edge can be cut out of a cube of 20cm edge
Choices:
64
216
484
None of these
Answer: A
Question: If man pays 20 for each km which he travels by taxi
and 10 for each km which he travels by bus. If in one
week he payed 800 for traveling 60 km. How many kilometers did he travel by taxi ?
Choices:
78
27
29
20
Answer: D
Question: A clock store sold a certain clock to a collector for 20 percent more than the store had originally paid for the clock. When the collector tried to resell the clock to the store, the store bought it back at 50 percent of what the collector had paid. The shop then sold the clock again at a profit of 80 percent on its buy-back price. If the difference between the clock's original cost to the shop and the clock's buy-back price was $100, for how much did the shop sell the clock the second time?
Choices:
$270
$240
$220
$200
Answer: A
Question: A straight pipe 1 meter in length was marked off in fourths and also in fifths. If the pipe was then cut into separate pieces at each of these markings, which of the following gives all the different lengths of the pieces, in fractions of a meter?
Choices:
1/5, 1/20 ,3/20 and 1/10
1/6, 1/4, and 1/3
1/12, 1/6 and 1/4
1/12, 1/6, and 1/3
Answer: A
Question: How many multiples of 4 are there between 1 and 99 ?
Choices:
24
26
25
22
Answer: A
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 32, the how old is B?
Choices:
12 years
14 years
15 years
16 years
Answer: A
Question: Two trains 121 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet?
Choices:
9.15 sec
7.15 sec
7.19 sec
7.25 sec
Answer: C
Question: A thief steals at a car at 2.30 p.m. and drives it at 60 km/hr. The theft is discovered at 3 p.m. and the owner sets off in another car at 75 km/hr. When will he overtake the thief?
Choices:
5 pm
3 pm
2 pm
1 pm
Answer: A
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
166
111
121
Answer: A
Question: In a 100m race, Sam beats John by 6 seconds. On the contrary, if Sam allowed John to start 36m ahead of Sam, then Sam and John reach the finishing point at the same time. How long does Sam take to run the 100m race?
Choices:
10.66 seconds
29 seconds
21 seconds
6.25 seconds
Answer: A
Question: The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 60 metres?
Choices:
15
20
12
15
Answer: C
Question: A man shows his friend a woman sitting in a park and says that she the daughter of my grandmother's only son.What is the relation between the two
Choices:
brother sister relation
daughter father relation
daughter mother relation
grand daughter father relation
Answer: A
Question: The cost price of a particular amount of articles is same as the number of articles. Selling price of the articles comes out to be 20. Over the whole transaction 25% is gained. What is X?
Choices:
18
16
20
None of these
Answer: B
Question: How many different positive integers are factors of 256 ?
Choices:
6
8
16
18
Answer: C
Question: The sum of three prime numbers is 100. If one of them exceeds another by 36, then one of the numbers is:
Choices:
29
41
67
89
Answer: C
Question: In what time will a train 100 meters long cross an electric pole, if its speed is 90 km/hr
Choices:
2.8 seconds
3.5 seconds
2.5 seconds
4 seconds
Answer: D
Question: What should come in the place of the question mark(?) in the following equation?
69012 – 20167 + (51246 ÷ 6) = ?
Choices:
57286
57476
57368
None of these
Answer: D
Question: Tensile strength of a material A is a multiple of amount of materials a, b, c, d used. If the amount of material of a, b, c, d are changed by +30%, -30%, -25%, +25% respectively, what will be the overall change in tensile strength of A?
Choices:
+14.68%
–14.68%
Depends on the initial amount of a, b, c, d
None of these
Answer: B
Question: When T is divided by 9, the remainder is 4. All of the following are possible values of T, except for which of the following?
Choices:
31
49
57
67
Answer: C
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 (in seconds) which they take to cross each other, is:
Choices:
10.8 sec
7.4 sec
8.9 sec
8.8 sec
Answer: A
Question: Ram professes to sell his goods at the cost price but he made use of 900 grms instead of a kg, what is the gain percent?
Choices:
61 1/9%
11 1/9%
31 1/9%
81 1/9%
Answer: B
Question: If one is added to the numerator of the fraction it becomes one. If one is added to the denominator of the fraction it becomes 1/2. The fraction is?
Choices:
3/5
2/3
2/5
3/5
Answer: B
Question: Each light bulb at a hotel is either incandescent or fluorescent. At a certain moment, forty percent of the incandescent bulbs are switched on, and eighty percent of the fluorescent bulbs are switched on. If 70 percent of all the bulbs are switched on at this moment, what percent of the bulbs that are switched on are incandescent?
Choices:
14%
18%
22%
26%
Answer: A
Question: The probability that a computer company will get a computer hardware contract is 4/5 and the probability that it will not get a software contract is 3/5. If the probability of getting at least one contract is 5/6, what is the probability that it will get both the contracts?
Choices:
9/25
11/30
13/35
17/40
Answer: B
Question: There are 24 Kids in a classroom. 12 Kids are wearing socks and 8 are wearing Shoes. 6 Kids are wearing both.
How many are Bare Feet ?
Choices:
10
40
50
70
Answer: A
Question: Sophia finished 2323 of a book. She calculated that she finished 90 more pages than she has yet to read. How long is her book?
Choices:
320
745
270
350
Answer: C
Question: A and B enter into partnership with capital as 7:9. At the end of 8 months, A withdraws. If they receive the profits in the ratio of 8:9 find how long B's capital was used?
Choices:
1
2
7
9
Answer: C
Question: From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. What is the probability of having only 1 woman in committee ?
Choices:
5/18
6/19
17/18
16/18
Answer: A
Question: 1,5,6 ,25, 26,30,31, 125,126,130,131,150,151,155,156,……… What is the value of 33rd term in the
given series
Choices:
3126
3236
3246
3854
Answer: A
Question: A photographer will arrange 6 people of 6 different heights for photograph by placing them in two rows of three so that each person in the first row is standing in front of someone in the second row. The heights of the people within each row must increase from left to right, and each person in the second row must be taller than the person standing in front of him or her. How many such arrangements of the 6 people are possible?
Choices:
5
9
24
36
Answer: A
Question: Alok ordered 16 chapatis, 5 plates of rice, 7 plates of mixed vegetable and 6 ice-cream cups. The cost of each chapati is Rs.6, that of each plate of rice is Rs.45 and that of mixed vegetable is Rs.70. The amount that Alok paid the cashier was Rs.985. Find the cost of each ice-cream cup?
Choices:
76
29
12
20
Answer: B
Question: A right circular cylinder has a height of 25 and a radius of 5. A rectangular solid with a height of 15 and a square base, is placed in the cylinder such that each of the corners of the solid is tangent to the cylinder wall. Liquid is then poured into the cylinder such that it reaches the rim. What is the volume of the liquid?
Choices:
500(π – 2.5)
500(π – 2)
500(π – 1)
625(π – 1.5)
Answer: D
Question: On a game show, a contestant spins 2 different wheels; each wheel is numbered 1 to 5. What is the probability that the contestant will spin all tens?
Choices:
3/6
7/9
1/25
23/45
Answer: C
Question: If the price has fallen by 14% what percent of its consumption be: increased so that the expenditure may be the same as before?
Choices:
B)10%
1/9 %
1/11 %
7/43%
Answer: D
Question: Two trains of length 100 m and 120 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?
Choices:
11 sec
21 sec
20 sec
19 sec
Answer: A
Question: If Teena is driving at 55 miles per hour and is currently 7.5 miles behind Coe, who is driving at 40 miles per hour in the same direction then in how many minutes will Teena be 15 miles ahead of Coe?
Choices:
60
75
90
105
Answer: C
Question: The speed of a boat in still water is 15 km/hr and the rate of current is 3 km/hourr. The distance travelled downstream in 24 mins is?
Choices:
7 km
7.2 km
8 km
8.4 km
Answer: B
Question: A couple decides to have 4 children. If they succeed in having 4 children and each child is equally likely to be a boy or a girl, What is the probability that they will have exactly 3 girls and 1 boy?
Choices:
3
2
1
1/2
Answer: D
Question: Two cyclist start from the same places in opposite directions. One is going towards north at 18kmph and the other is going towards south 20kmph. What time will they take to be 190km apart?
Choices:
5 hours
4hours
3 3/4 hours
6hours
Answer: A
Question: A man is 20 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is:
Choices:
18 years
20 years
22 years
16 years
Answer: A
Question: If a > 1, which of the following is equal to (2a + 6)/(a^2 + 2a - 3)?
Choices:
a + 3
2/(a - 1)
2a/(a - 3)
(a - 1)/2
Answer: B
Question: The average of four consecutive odd numbers is 24. Find the largest number.
Choices:
27
29
31
32
Answer: A
Question: The length of the bridge, which a train 130 m long and traveling at 45 km/hr can cross in 30 sec is?
Choices:
156 m
245 m
156 m
186 m
Answer: B
Question: In his ranch, Doug Bo can place a loop of rope, called a lasso, once in every 2 throws around a cow’s neck. What is the probability that he will be able to place a lasso around a cow’s neck at least once in 5 attempts?
Choices:
15/32
1/2
31/32
1
Answer: C
Question: In a certain match all the teams were to play with each other. If there are 5 teams, how many matches will have to be played?
Choices:
45
60
10
None of the above
Answer: C
Question: If a cost college Rs0.70 a companyto produce a program for yhe home coming football game.if Rs 15000 was received for addvertisement in the pgm ,how many copies rs 0.50 a copy must be sold to make a profit of Rs 8000
Choices:
25000
45000
32000
35000
Answer: D
Question: If three numbers in the raƟo 3 : 2: 5 be such that the sum of their squares is 1862, the middle
number will be
Choices:
14
18
22
None of these
Answer: A
Question: Two employees X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
Choices:
Rs.250
Rs.300
Rs.350
Rs.400
Answer: A
Question: What sum of money will amount to Rs. 520 in 5 years and to Rs. 568 in 7 years at simple interest?
Choices:
Rs. 400. 00
Rs. 510. 00
Rs. 520. 00
Rs. 220. 00
Answer: A
Question: How much time will take for an amount of Rs. 330 to yield Rs. 81 as interest at 4.5% per annum of simple interest?
Choices:
5 5/11years
7 5/11years
12 5/11years
15 2/11years
Answer: A
Question: The price for a loaf of bread in April was $1.17, in May the price was $1.30, and in June the price was $1.05. If 2/3 as much bread was sold in April as in May, and twice as much was sold in June as in April, what was the average price for a loaf of bread sold during the three-month period?
Choices:
$1.14
$1.15
$1.16
$1.17
Answer: C
Question: A taxi charges q dollars for the first two miles and c cents per quarter mile for every mile after the first two. Which equation describes cost of a taxi ride of n miles in dollars.
Choices:
cq + 4n-8/200
q + (4cn-8c)/100
q + 100cn/4
4cq(n-2) – 100
Answer: B
Question: The remainder when dividing the expression (X + Y) by 5 is 4. The remainder of X divided by 10 is 2. What is the remainder T of Y divided by 5?
Choices:
T=2.
3.
4.
5.
Answer: A
Question: A person travels from P to Q a speed of 80 km/hr and returns by increasing his speed by 10%. What is his average speed for both the trips?
Choices:
77
48
84
21
Answer: C
Question: If 3 persons can do 3 times of a particular work in 3 days, then, 7 persons can do 7 times of that work in
Choices:
3 days
4 days
5 days
6 days
Answer: A
Question: Annie will be half as old as Larry in 3 years. Annie will also be one-third as old as Jerome in 5 years. If Jerome is 11 years older than Larry, how old is Annie?
Choices:
4
19
26
34
Answer: A
Question: A man in a train travelling at 30km/hr notices that a train going in the opposite direction passes him in 9 sec.If the length of this train is 200m find its speed .
Choices:
40 km/hr
50 km/hr
60 km/hr
70 km/hr
Answer: B
Question: If I walk at 3 kmph, I miss the train by 2 min, if however, I walk at 4 kmph. I reach the station 2 min before the arrival of the train. How far do I walk to reach the station?
Choices:
4/5 km
6/5 km
4/0 km
4/4 km
Answer: A
Question: Buffalo gives 4 liter milk, cow gives (1/2) liter milk and goat gives 1/4 liter milk. you have to get 20 liter milk by 20 animals.what is the number of goats?
Choices:
2
3
4
5
Answer: A
Question: Solution X is 10 percent alcohol by volume, and solution Y is 30 percent alcohol by volume. How many milliliters of solution Y must be added to 300 milliliters of solution X to create a solution that is 15 percent alcohol by volume?
Choices:
100
150
200
250
Answer: A
Question: What will be the percentage increase in the area of the cube's surface if each of the cube's edges grows by 50%?
Choices:
125%
100%
90%
85%
Answer: A
Question: Bob's pizza recipe calls for 2 ounces of baking soda for every 2 cups of flour used. He needs to use 12 cups of flour to make 6 pizzas for a party. If 12 cups of flour is used, then how many ounces of baking soda are needed?
Choices:
12
2
6
18
Answer: A
Question: If $0.2 is commission for sales of $1,000, what percent of sales amount is the commission?
Choices:
0.2%
0.02%
0.002%
0.0002%
Answer: B
Question: A honey bee flies for 10 seconds, from a daisy to a rose. It immediately continues to a poppy, flying for 6 additional seconds. The distance the bee passed, flying from the daisy to the rose is 3 meters longer than the distance it passed flying from the rose to the poppy. The bee flies to the poppy at 3 meters per second faster than her speed flying to the rose. The bee flies how many meters per second from the daisy to the rose?
Choices:
4.2
6
8
10
Answer: A
Question: Josh spends a total of $4.50 buying N items in the convenience store. If each of the items is either a 5 cents single bubblegum, or a 50 cents bubblegum pack, then N may be which of the following?
Choices:
100
81
109
140
Answer: B
Question: A computer manufacturer produces a certain electronic component at a cost of $75 per component. Shipping costs for delivering the components are $2 per unit. Further, the manufacturer has costs of $16,500 a month related to the electronic component regardless of how many it produces. If the manufacturer produces and sells 150 components a month, what is the lowest price it can sell them for such that the costs don't exceed the revenues?
Choices:
$187
$110
$138
$192
Answer: A
Question: A, B and C started a partnership business by investing Rs.5000, Rs.8000, Rs.9000 respectively. At the end of the year , the profit were distributed among them. If C's share of profit is 36000, What is the total profit?
Choices:
60000
88000
90000
50000
Answer: B
Question: A pupil’s marks were wrongly entered as 83 instead of 63. Due to that the average marks for the class got increased by half. The number of pupils in the class is:
Choices:
20
40
73
None of the above
Answer: B
Question: The manager of a produce market purchased a quantity of tomatoes for $0.80 per pound. Due to improper handling, 20 percent of the tomatoes, by weight, were ruined and discarded. At what price per pound should the manager sell the remaining tomatoes if she wishes to make a profit on the sale of the tomatoes equal to 8 percent of the cost of the tomatoes.
Choices:
$0.96
$0.98
$1.00
$1.09
Answer: D
Question: In the rectangular coordinate system Point O has coordinates (0,0) and Point B has coordinates (6,6) and if point A is equidistant from points O and B and the area of the triangle OAB is 16, which of the following are the possible coordinates of point A.
Choices:
(0,4)
(2,-6)
(2,6)
(4,8)
Answer: D
Question: The average age of 3 boys is 25 years and their ages are in the proportion 3:5:7. The age of the youngest boy is?
Choices:
15years
20years
25years
18years
Answer: A
Question: Ram professes to sell his goods at the cost price but he made use of 900 grms instead of a kg, what is the gain percent?
Choices:
11 9/9%
11 1/9%
12 1/9%
41 1/9%
Answer: B
Question: Mohan's salary was first increased by 20% and then decreased by 20%. If his present salary is Rs. 7200, then what was his original salary?
Choices:
Rs.7500
Rs.7527
Rs.7522
Rs.7572
Answer: A
Question: Sam is training for the marathon. He drove 13 miles from his home to the Grey Hills Park and then ran 6 miles to Red Rock, retraced his path back for 2 miles, and then ran 3 miles to Rock Creek. If he is then n miles from home, what is the range of possible values for n?
Choices:
3 ≤ n ≤21
5 ≤ n ≤19
6 ≤ n ≤20
9 ≤ n ≤15
Answer: C
Question: For a certain set, the value range of its members is 88.8. A new set is created from the members of the old set as follows: 12 is subtracted from a member of the old set, and the result is divided by 4. The resulting value is a member of the new set. If this operation is done for each member of the old set, what is the range of values of the members of the new set?
Choices:
22.2
36.6
44.4
88.8
Answer: A
Question: Eight persons participated in a shooting competition. The top score in the competition is 85 points. Had the top score been 92 points instead of 85 points, the average score would have been 84. Find the number of points actually scored in the competition.
Choices:
655
665
636
646
Answer: B
Question: If a rooster laid 13 eggs, and the farmer took 8 of them, and then another rooster laid 12 eggs and 4 of them were rotten, how many of the eggs were left?
Choices:
0
2
3
4
Answer: A
Question: When a number is divided by 13, the remainder is 11. When the same number is divided by 17, then remainder is 9. What is the number ?
Choices:
349
500
550
370
Answer: A
Question: What is the sum of all the multiples of 25 between 30 and 100?
Choices:
625
600
250
200
Answer: C
Question: On a map the distance between two mountains is 312 inches. The actual distance between the mountains is 136 km. Ram is camped at a location that on the map is 34 inch from the base of the mountain. How many km is he from the base of the mountain?
Choices:
14.81
14.8
14.82
14.12
Answer: C
Question: Each of the integers from 4 to 9, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into hat. If the slips are then drawn one at a time without replacement, how many must be drawn to ensure that the numbers on two of the slips drawn will have a sum of 10?
Choices:
3
5
6
7
Answer: A
Question: Concentrated apples juice comes inside a cylinder tube with a radius of 2.5 inches and a height of 15 inches. The tubes are packed into wooden boxes, each with dimensions of 11 inches by 10 inches by 31 inches. How many tubes of concentrated apples juice, at the most, can fit into 3 wooden boxes?
Choices:
24.
36.
42.
48.
Answer: A
Question: 20 % of 2 is equal to
Choices:
0.3
0.4
0.5
0.6
Answer: B
Question: If q = 30! + 1, which of the following cannot be a prime factor of q?
I. 11
II. 19
III. 29
Choices:
III only
II and III
I and II
I​, II, and III
Answer: D
Question: The C.P of 10 pens is equal to the S.P of 12 pens. Find his gain % or loss%?
Choices:
6 2/7%
6 2/3%
6 5/3%
6 7/3%
Answer: B
Question: A certain board game has a row of squares numbered 1 to 100. If a game piece is placed on a random square and then moved 7 consecutive spaces in a random direction, what is the probability W the piece ends no more than 7 spaces from the square numbered 49?
Choices:
8%
14%
15%
28%
Answer: D
Question: 39 persons can construct a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?
Choices:
13
14
15
None of these
Answer: A
Question: Consider the sets Tn = {n, n + 1, n + 2, n + 3, n + 4}, where n = 1, 2, 3,...., 78. How many of these sets contain 6 or any integral multiple thereof (i.e., any one of the numbers 6, 12, 18, ...)?
Choices:
(b) 81
(c) 82
(d) 65
(e) 84
Answer: C
Question: Two cubes of their volumes in the ratio 343 : 729. The ratio of their surface area is:
Choices:
7:9
3:5
1:5
4:5
Answer: A