antoine-444/aqua_rat_dataset huggingface dataset:
Question: Torry has submitted 2/5 of his homework assignments, and he received an average grade of 75 for those assignments. If he wishes to receive an average grade of 84 for all his homework assignments, the average grade for Torry's remaining homework assignments must be what percent greater than the average grade for the assignments he has already submitted?
Choices:
20%
25%
33 1/3%
40%
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 30 km/hr. For how many minutes does the bus stop per hour?
Choices:
30
77
20
99
Answer: A
Question: In a stack of boards at a lumber yard, the 41th board counting from the top of the stack is immediately below the 23th board counting from the bottom of the stack. how many boards are in the stack?
Choices:
62
65
64
36
Answer: A
Question: A, B and C can do a work in 6, 8 and 12 days respectively doing the work together and get a payment of Rs.1800. What is B’s share?
Choices:
600
298
267
127
Answer: A
Question: What decimal of an hour is a second ?
Choices:
0.00027
0.027
0.00072
None of them
Answer: A
Question: The food in a camp lasts for 40 men for 45 days. If fifteen more men join, how many days will the food last?
Choices:
33 days
35 days
16 days
15 days
Answer: A
Question: A sum of Rs 1162.00 is divided among A, B and C such that 4 times A’s share is equal to 5 times B’s share and 7 times C’s share. What is the share of C?
Choices:
280
270
295
255
Answer: A
Question: A customer using a certain telephone calling plan pays a fee of $25 per month, and then receives a discount of 40% on the regular charge for all calls made to country A. If calls to country A are regularly charged at $1.60 per minute for the first 3 minutes, and $0.80 per minute for each minute thereafter, what is the maximum the customer could have saved over regular prices if he was charged for 1 hour of calls made to country A in a certain month?
Choices:
$12
$13.40
$17.40
$24.40
Answer: B
Question: At what angle the hands of a clock are inclined at 15 minutes past 5 ?
Choices:
64°
58 1⁄2°
67 1⁄2°
None of these
Answer: C
Question: The sum and the product of two numbers are 20 and 64 respectively, the difference of the number is?
Choices:
6
7
8
12
Answer: D
Question: For the bake sale, 5 people brought cookies, 2 people brought pies, 6 brought brownies, and 5 people brought cakes. If each person only brought one item, how many people brought items in all?
Choices:
18
22
23
25
Answer: A
Question: In a race of length L metres, Johnson beats Lewis by U metres and Greene by V metres, By how many metres does Lewis beat Greene in the same race ? (U<V)
Choices:
L(V-U) / L-U
L-V
U-V
U+V
Answer: A
Question: What will be the compound interest on a sum of Rs. 28,000 after 3 years at the rate of 12% p.a.?
Choices:
s.10123.21
s.10123.20
s.10123.28
s.11337.98
Answer: D
Question: There are 24 girls in hostel whose average age is decreased by 2 months, when one girl 18 yrs is replaced by a new boy.Find the age of new girl.
Choices:
1 years 2 months
2 years 5 months
4 years
None
Answer: C
Question: A student was asked to find the arithmetic mean of the numbers 3, 11, 7, 9, 15, 13, 8, 19, 17, 21, 14 and x. He found the mean to be 12. What should be the number in place of x ?
Choices:
7
6
1
5
Answer: A
Question: If x dollars is invested at 10 percent for one year and y dollars is invested at 8 percent for one year, the annual income from the 10 percent investment will exceed the annual income from the 8 percent investment by $56. If $2,000 is the total amount invested, how much is invested at 8 percent?
Choices:
$800
$892
$1,108
$1,200
Answer: A
Question: In a certain book club, the members are voting between two books – a comic novel and a biography – to decide which book the group will read next. There are 3 times as many votes for the comic novel as there are votes for the biography. The ratio of biography votes to the comic votes is
Choices:
1 to 3
1 to 4
2 to 3
3 to 4
Answer: A
Question: A man rows his boat 120 km downstream and 60 km upstream, taking 2 hours each time. Find the speed of the stream?
Choices:
15
17
18
2
Answer: A
Question: What is the sum of all possible solutions to the equation √2x^2−x−9 = x+1 ?
Choices:
2
3
5
6
Answer: C
Question: Jayes can eat 25 marshmallows is 20 minutes. Dylan can eat 25 in one hour. In how much time will the two eat 150 marshmallows?
Choices:
1 hour and 30 minutes.
1 hour.
1 hour and 40 minutes.
2 hours and 15 minutes.
Answer: B
Question: What positive number, when squared, is equal to the cube of the positive square root of 14?
Choices:
32
8
4
2
Answer: C
Question: A money lender lends Rs.1500 for six months at 20% p.a. rate. It the interest is reckoned quarterly than find the amount given after time limit?
Choices:
1978
1653.75
2827
2781
Answer: B
Question: A welder received an order to make a 1 million liter cube-shaped tank. If he has only 2x5 meter sheets of metal that can be cut, how many metal sheets will be required for this order? (1 cubic meter = 1,000 liters)
Choices:
90
60
78
75
Answer: B
Question: If a man crosses a 600 m long street in 5 minutes. What is his speed?
Choices:
7 km/hr
7.2 km/hr
8.9 km/hr
9 km/hr
Answer: B
Question: Find the area of trapezium whose parallel sides are 12 cm and 16 cm long, and the distance between them is 14 cm?
Choices:
277 cm2
285 cm2
196 cm2
287 cm2
Answer: C
Question: 10, 15, 22.5, 33.75, 50.62, (...)
Choices:
60.75
75.93
76.33
70.1
Answer: B
Question: A can complete a project in 20 days while B can complete same project in 30 days. If A and B start working together and A leaves the work 15 days before completion of project, then in how many days the project will be completed?
Choices:
19
20
21
22
Answer: C
Question: A dishonest dealer professes to sell goods at the cost price but uses a weight of 920 grams per kg, what is his percent?
Choices:
25%
77%
99%
8.7%
Answer: D
Question: Find the next number in the series
3,3,5,4,4,3,5,5,4,3,...
Choices:
4
5
6
7
Answer: C
Question: On a certain farm the ratio of horses to cows is 4:1. If the farm were to sell 15 horses and buy 15 cows, the ratio of horses to cows would then be 7:3. After the transaction, how many more horses than cows would the farm own?
Choices:
40
50
60
80
Answer: C
Question: Two people stand back to back next to the rails in a small railway station. As the head of the express train that passes the station reaches them, they start to walk parallel to the rails. As the tail of the train reaches each of them, they stop, having walked 30m and 40m respectively.
If they both walked with identical, constant speed and the train kept its speed as well, can you tell how long the train was?
Choices:
240m
340m
440m
540m
Answer: A
Question: Murali travelled from city A to city B at a speed of 40 kmph and from city B to city C at 60 kmph. What is the average speed of Murali from A to C given that the ratio of distances between A to B and B to C is 3 : 3?
Choices:
48
277
92
11
Answer: A
Question: What will be the difference between simple and compound interest at 12% per annum on a sum of Rs. 1000 after 4 years?
Choices:
94.12
93.5
64.1
64.11
Answer: B
Question: There are three departments having students 66,58,24 .In an exam they have to be seated in rooms such that each room has equal number of students and each room has students of one type only (No mixing of departments). Find the minimum number of rooms required?
Choices:
74
75
76
77
Answer: A
Question: Every student in a certain classroom was given a lollypop. 1/3 of the students were given a green lollypop, 1/4 of the students were given a yellow lollypop, and all of the other students were given a red lollypop. After lunch, 1/4 of the students who had green lollypops and 2/3 of the students who had yellow lollypops left the classroom; the other students did not leave. What fraction of all students have either a green or yellow lollypop?
Choices:
4/9
2/3
4/7
3/5
Answer: A
Question: What is the sum of all the composite numbers up to 12?
Choices:
28
60
49
50
Answer: C
Question: If 10^(v-1)< 0.000125 <10^v, what is the value of an integer v?
Choices:
-3
-2
3
4
Answer: A
Question: Total ages of p,q,r be 27.P is two years elder than Q. Who is twice as old as R. Then how old is Q?
Choices:
10
14
16
18
Answer: A
Question: A person crosses a 1080 m long street in 14 minutes. What is his speed in km per hour?
Choices:
4.5
4.6
5.4
5.5
Answer: B
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:
4/7
2/7
11/7
8/7
Answer: A
Question: The music class consists of 4 girls and 7 boys. How many ways can a group of 3 be formed if it has to include at least one boy?
Choices:
158
161
165
172
Answer: B
Question: If Rs. 782 be divided into three parts, proportional to 1/2:1/3:3/4, then the first part is?
Choices:
B)526
C)247
D)204
E)297
Answer: B
Question: The total age of A and B is 15 years more than the total age of B and C. C is how many year younger than A
Choices:
12
13
14
15
Answer: D
Question: In a sequence of 12 numbers, each term, except for the first one, is 12^14 less than the previous term. If the greatest term in the sequence is 12^15, what is the smallest term in the sequence?
Thus, A12 = A1+12-1d
Where d is the difference between each pairs of consecutive terms. Since each term is 1211 less than the previous term, d=-1211Click individual answer choices for specific explanations.
From what I undersltand the formula for an arithmetic sequence represents
some-number-in-the-sequence= first-number-in-sequence +the-place-of-that-number - 1x the-difference-of-each-#-in-the-sequence
Choices:
12^14
12^11
11·12^11
12^12
Answer: A
Question: The sequence a1, a2, a3, a4. a5 is such that an = a n-1 +5 for 2≤ n ≤ 5. If a5 = 35 what is the value of a1 ?
Choices:
6
15
16
21
Answer: B
Question: A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 litres of milk such that the ratio of water to milk is 3 : 5?
Choices:
6 litres, 6 litres
7 litres, 5 litres
5 litres, 5 litres
None
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?
A. 11%
Choices:
11 1/9%
11 9/9%
11 5/9%
11 1/5%
Answer: A
Question: The average age of a class of 32 students is 16 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher
Choices:
30 Years
32 Years
37 Years
49 Years
Answer: D
Question: Three pipes of same capacity A,B,C can fill a tank in 24 hours. If there are only two pipes A and B of same capacity, the tank can be filled in?
Choices:
24
6
36
8
Answer: C
Question: The difference of two numbers is 1565. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number ?
Choices:
B)280
C)290
D)300
E)310
Answer: D
Question: Twenty percent of Country Y's yearly exports come from fruit exports. One-sixth of all fruit exports from Country Y are orange exports. If country Y generates $3 million from its orange exports, how much money does it generate from its yearly total of exports?
Choices:
$25.5m
$90m
$127.5m
$153m
Answer: B
Question: Among 500 people, 56% like strawberry jam, 44% like apple jam, and 40% like raspberry jam. If 30% of the people like both strawberry and apple jam, what is the largest possible number of people who like raspberry jam but do not like either strawberry or apple jam?
Choices:
60
80
86
150
Answer: D
Question: Becky, Merry and John want to share a chocolate bar evenly.
What part of the bar will each of them take?
What part of the bar will Becky and Merry have together?
Choices:
2/3
2/4
None of these
Cannot be determined
Answer: A
Question: Two employees A and B are paid a total of Rs. 450 per week by their employer. If A is paid 150 percent of the sum paid to B, how much is B paid per week?
Choices:
140
150
170
180
Answer: D
Question: A man jogging inside a railway tunnel at a constant speed hears a train approaching the tunnel from behind at a speed of 30 km/h, when he is one third of the way inside the tunnel. Whether he keeps running forward or turns back, he will reach the end of the tunnel at the same time the train reaches that end. The speed at which the man is running is:
Choices:
8 km/hr
10 km/hr
12 km/hr
None of these
Answer: B
Question: If 45-[28-{37-(15-*)}]= 58, then * is equal to:
Choices:
-19
19
29
39
Answer: B
Question: X and Y invest Rs.21000 and Rs.17500 respectively in a business. At the end of the year, they make a profit of Rs.26400. What is the share of X in the profit?
Choices:
Rs.14400
Rs.12000
Rs.12500
None of these
Answer: A
Question: If 0.75: x :: 5:8, then x is equal to:
Choices:
1.28
1.20
1.21
1.22
Answer: B
Question: A train running at the speed of 60 km/hr crosses a pole in 5 seconds. Find the length of the train.
Choices:
83.33
772
252
121
Answer: A
Question: Difference of two numbers is 1660. If 7.5% of the number is 12.5% of the other number , find the number ?
Choices:
2490 and 4150
2400 and 4100
2290 and 4350
229 and 435
Answer: A
Question: Helen went to the stationers and bought things worth Euro 26, out of which 30 paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Choices:
uro 15.70
uro 13.70
uro 18.70
uro 20.70
Answer: D
Question: A set of numbers has an average of 40. If the largest element is 4 greater than 3 times the smallest element, which of the following values cannot be in the set?
Choices:
90
125
50
55
Answer: B
Question: How many numbers can be formed from 1, 2, 3, 4, 5 (without repetition), when the digit at the unit’s place must be greater than that in the ten’s place?
Choices:
60
50
2 x 4!
51 / 3
Answer: A
Question: Find the length of the longest pole that can be placed in a room 12 m long 8m broad and 9m high.
Choices:
14
15
16
17
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
75 kmph
56 kmph
46 kmph
Answer: A
Question: In how many ways can a group of 22 friends be seated round 2 tables if one of the tables can seat 12 and the other can seat 10 people?
Choices:
15C3 * 8! *3!
15C4 * 9! *3!
22C2 * 11! *9!
26C5 * 10! *4!
Answer: C
Question: A coin is tossed live times. What is the probability that there is at the least one tail?
Choices:
31/32
31/30
31/37
31/31
Answer: A
Question: Two trains 170 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:
18.8 sec
14.8 sec
10.88 sec
11.88 sec
Answer: D
Question: Henry got a weekly raise of $963. If he gets paid every other week, write an integer describing how the raise will affect his paycheck.
Choices:
396
963
691
961
Answer: B
Question: Present ages of X and Y are in the ratio 2:3 respectively. Four years hence this ratio will become 3:4 respectively. What is X's present age in years?
Choices:
8
37
39
40
Answer: A
Question: A tree increases annually by 1/8th of its height. By how much will it increse after 2 years, if it stands today 64 cm high?
Choices:
74 cm
75 cm
81 cm
83 cm
Answer: C
Question: If 32455 × 3145208 × m^100 is divisible by 5, which of the following could be the value of m?
Choices:
5644564
2345678
1000000
2355232
Answer: C
Question: ABCD is a parallelogram on xy rectangular coordinate plane, three of the four vertices of parallelogram are (5,15) , (5,45) and (-5,15). Which can be the coordinate of fourth vertex?
Choices:
(5,45)
(-5,-25)
(-5,10)
(15,25)
Answer: A
Question: {3, 5, 8, y}
For the above mentioned Set, Mean of the set is equal to Range of the set then find out possible values of y
Choices:
4, 16/5
4, 16/5, 28/3
4, 28/3
3, 4, 5
Answer: C
Question: A small college reduced its faculty by approximately 23 percent to 195 professors. What was the original number of faculty members?
Choices:
253
224
254
302
Answer: A
Question: A book is bought for $32 and sold for $56. What is the profit in percentage?
Choices:
35
75
25
85
Answer: B
Question: When a plot is sold for Rs. 18,700, the owner loses 15%. At what price must that plot be sold in order to gain 15%?
Choices:
Rs. 22,500
Rs. 25,300
Rs. 25,800
Rs. 28,800
Answer: B
Question: There are many numbers that can be expressed as the sum of three squares in three different ways.
Can you find out the smallest of such number?
Choices:
54
29
30
70
Answer: A
Question: In Cliff’s impressive rock collection, there are half as many igneous rocks as sedimentary rocks. Of the igneous rocks, 3/4 are shiny and the rest are matte, while 1/5 of the sedimentary rocks are shiny. If there are 30 shiny igneous rocks, how many total rocks does Cliff have?
Choices:
45
60
120
135
Answer: C
Question: Tough and Tricky questions: Probability.
Medical analysts predict that half of all people who are infected by a certain biological agent could be expected to be killed for each day that passes during which they have not received an antidote. What fraction of a group of 1,000 people could be expected to be killed if infected and not treated for three full days?
Choices:
7/8
2/3
19/27
65/81
Answer: A
Question: If the mean of numbers 28, x, 50, 78 and 104 is 62, what is the mean of 48, 62, 98, 124 and x?
Choices:
76.5
39.8
90.3
66.67
Answer: A
Question: 10 men can prepare 20 toys in 12 days working 15 hours a day. Then in how many days can 24 men prepare 32 toys working 20 hrs a day?
Choices:
4 days
20 days
25 days
26 days
Answer: A
Question: Five bells begin to toll together at 12:00 noon and toll respectively at intervals of 4, 5, 6, 8, and 9. seconds. Not including the toll at 12:00 noon, how many more times will all five bells toll together before 3:01 pm (i.e. three hours and one minute later)?
Choices:
30
35
40
45
Answer: A
Question: The curved surface of a sphere is 64 pi cm2. Find its radius?
Choices:
4 cm
2 cm
3 cm
5 cm
Answer: A
Question: Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is :
Choices:
15
45
60
65
Answer: A
Question: In what time will a train 120 m long cross an electric pole, it its speed be 144 km/hr?
Choices:
3 sec
8.9 sec
6.9 sec
2.9 sec
Answer: A
Question: The average score of a cricketer in 2 matches is 27 and in other 3 matches is 32. Then find the average score in all the 5 matches?
Choices:
27
30
35
42
Answer: B
Question: The radius of the two circular fields is in the ratio 3: 5 the area of the first field is what percent less than the area of the second?
Choices:
94%
65%
64%
34%
Answer: C
Question: A certain library assesses fines for overdue books as follows. On the first day that a book is overdue, the total fine is $0.07. For each additional day that the book is overdue, the total fine is either increased by $0.30 or doubled, whichever results in the lesser amount. What is the total for a book on the fifth day it is overdue?
Choices:
$0.70
$0.86
$0.90
$1.00
Answer: B
Question: (2^2+4^2+6^2+.....+20^2)=?
Choices:
1155
1540
385x385
None of them
Answer: B
Question: If 3 spiders make 3 webs in 3 days, then 1 spider will make 1 web in how many days?
Choices:
6
5
4
3
Answer: D
Question: How many three digits numbers can be formed by using the digits 1,2,3,4,5.
Choices:
135
225
125
175
Answer: C
Question: If 4 people are selected from a group of 5 married couples, what is the probability that none of them would be married to each other?
Choices:
2/33
1/3
16/33
8/21
Answer: D
Question: What is the probability that a leap year has 53 Sundays and 52 Mondays?
Choices:
1/7
1/3
1/5
1/2
Answer: A
Question: If a * b * c =(√(a + 2)(b + 3)) / (c + 1), find the value of 6 * 15 * 3.
Choices:
5
11
3
4
Answer: C
Question: If 2^2n + 2^2n + 2^2n + 2^2n = 4^26, then n =
Choices:
6
12
23
25
Answer: D
Question: A train 125 m long passes a man, running at 7 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:
Choices:
50 km/hr
45 km/hr
52 km/hr
87 km/hr
Answer: C
Question: A man's speed with the current is 20 kmph and speed of the current is 2 kmph. The Man's speed
against the current will be
Choices:
16 kmph
14 kmph
17 kmph
None of these
Answer: A
Question: A sells his goods 50% cheaper than B but 50% dearer than C. The cheapest is?
Choices:
33.5
33.3
33.9
33.1
Answer: B
Question: A jogger running at 9 km/hr along side a railway track is 240 m ahead of the engine of a 150 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
Choices:
16 sec
39 sec
18 sec
17 sec
Answer: B
Question: Mary, Peter, and Lucy were picking chestnuts. Mary picked twice as much chestnuts than Peter. Lucy picked 3 kg more than Peter. Together the three of them picked 27 kg of chestnuts. How many kilograms of chestnuts did Mary, Peter, and Lucy pick respectively?
Choices:
12, 9 and 6
9, 6 and 12
12, 6 and 9
6, 12 and 9
Answer: C
Question: Two members of a club are to be selected to represent the club at a national meeting. if there are 55 different possible selections of the 2 members, how many members does the club have?
Choices:
11
40
57
95
Answer: A
Question: If N = 3^0.15 and N^b = 9, b must equal
Choices:
3/5
4
5/3
40/3
Answer: D
Question: The ratio of 2 numbers is 5:2 and their H.C.F. is 20. Their L.C.M. is ?
Choices:
300
200
100
40
Answer: B
Question: If 5 men and 2 boys working together, can do four times as much work per hour as a man and a boy together. Find the ratio of the work done by a man and that of a boy for a given time?
Choices:
2:4
3:0
2:1
2:3
Answer: C
Question: The effective annual rate of interest corresponding to a nominal rate of 8% per annum payable half-yearly is?
Choices:
8.16%
6.08%
6.09%
6.19%
Answer: A
Question: If x is real, find the maximum value of the expression -2x^2 + 5x + 7.
Choices:
8.125
10.125
12.125
14.125
Answer: B
Question: Angelo and Isabella are both salespersons. In any given week, Angelo makes $540 in base salary plus 8 percent of the portion of his sales above $1,000 for that week. Isabella makes 10 percent of her total sales for any given week. For what amount of weekly sales would Angelo and Isabella earn the same amount of money?
Choices:
23,000
25,500
26,500
27,500
Answer: A
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 90 km/hr. When will he overtake the thief?
Choices:
9 p.m
4 p.m
2 p.m
1 p.m
Answer: B
Question: REDO’s manufacturing costs for sets of horseshoes include a $10,500 initial outlay, and $30per set. They can sell the sets $60. If profit is revenue from sales minus manufacturing costs, and the company producessells 1000 sets of horseshoes, what was their profit?
Choices:
$19500
$29500
$39500
$1500
Answer: A
Question: The sum of ages of 5 children born at the intervals of 3 years each is 65 years. What is the age of the youngest child?
Choices:
4 years
6 years
7 years
8 years
Answer: C
Question: If x is equal to the sum of the integers from 30 to 50, inclusive, and y is the number of EVEN integers from 30 to 50, inclusive, what is the value of x+y ?
Choices:
811
830
850
851
Answer: D
Question: A farmer has a rose garden. Every day he either plucks 7 or 6 or 24 or 23 roses. The rose plants are intelligent and when the farmer plucks these numbers of roses, the next day 37 or 36 or 9 or 18 new roses bloom in the garden respectively. On Monday, he counts 189 roses in the garden. He plucks the roses as per his plan on consecutive days and the new roses bloom as per intelligence of the plants mentioned above. After some days which of the following can be the number of roses in the garden?
Choices:
7
6
4
1
Answer: C
Question: Find the cost of fencing around a circular field of diameter 30 m at the rate of Rs.5 a meter?
Choices:
132
772
592
471.25
Answer: D
Question: If y > 0, (9y)/20 + (3y)/10 is what percent of y?
Choices:
50%
60%
70%
75%
Answer: D
Question: A code is to be made by arranging 6 letters. Three of the letters used will be the letter A, two of the letters used will be the letter B and one of the letters used will be the letter C . If there is only one way to present each letter, how many different codes are possible?
Choices:
360
420
840
5,040
Answer: A
Question: In five football games thus far this season, Barry has run for 98, 107, 85, 89, and 91 yards. At a minimum, how many yards W will he need to gain this Sunday if he wants to keep his season average above 100 yards?
Choices:
116
130
W=131
W=141
Answer: C
Question: 120 +520 ÷ 5.00 = ?
Choices:
150
120
520
None
Answer: D
Question: Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 4200. What was Simran share in the profit?
Choices:
s 1080
s 1008
s 1820
s 1800
Answer: D
Question: Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B.
Choices:
1:1
3:4
4:3
5:5
Answer: C
Question: A number consists of two digits. The sum of the digits is 9. If 63 is subtracted from the number, its digits are interchanged. Find the number.
Choices:
81
100
61
73
Answer: A
Question: The number 219 can be written as sum of the squares of 3 different positive integers. What is the difference of these 2 different larger integers?
Choices:
6
3
5
4
Answer: A
Question: Brand A coffee costs twice as much as brand B coffee. If a certain blend is 3/4 brand A and 1/4 brand B. what fraction of the cost of the blend is Brand A?
Choices:
b. 2/5
3. 1/2
4. 2/3
5. 6/7
Answer: D
Question: A car manufacturer produces only red and blue TCS Models which come out of the final testing area at random. What are the odds that five consecutive cars of same color will come through the test area at any one time?
Choices:
1 in 16
1 in 32
1 in 25
1 in 15
Answer: A
Question: In a rectangular coordinate system, what is the area of a quadrilateral whose vertices have the coordinates (2,-2), (2, 6), (14, 2), (14,-5)?
Choices:
90
104
117
182
Answer: A
Question: Find the income derived from 88 shares of $ 25 each at 5 premium,
brokerage being (1/4) per share and the rate of dividend being 7(1/2)% per annum. Also, find the rate of interest on the investment.
Choices:
6.2%
6.5%
8.2%
4.6%
Answer: A
Question: In 1 kg mixture of iron and manganese 20% of manganese. How much iron should be added so that
the proportion of manganese becomes 10%
Choices:
2 Kg
.5 Kg
1 Kg
None of these
Answer: C
Question: A fair white coin with sides marked heads and tails is to be tossed eight times. What is the probability that the coin will land tails side up more than five times?
Choices:
A)37/256
C)65/256
D)70/256
E)81/256
Answer: A
Question: The owner of a local jewelry store hired four watchmen to guard his diamonds, but a thief still got in and stole some diamonds. On the way out, the thief met each watchman, one at a time. To each he gave 1/4 of the diamonds he had then, and 4 more besides. He escaped with 4 diamonds. How many did he steal originally?
Choices:
3384
2384
None of these
Cannot be determined
Answer: B
Question: 5 + 5 + 5 + 5 +5 + 4 x 5^2 + 4 x 5^3 + 4 x 5^4 + 4 x 5^5 + 4 x 5^6 + 4 x 5^7 + 4 x 5^8 + 4 x 5^9 =
Choices:
5^18
5^14
5^10
None of above
Answer: C
Question: A shipment of 1500 heads of cabbage, each of which was approximately the same size, was purchased for $600. The day the shipment arrived 2/3 of the heads were sold, each at 25% above the cost per head. The following day the rest were sold at a price equal to 15% less than the price each head sold for on the day before. What was the total gross profit on this shipment.
Choices:
$113
c $125
d $130
e $135
Answer: A
Question: A rectangular park 60 m long and 40 m wide has concrete crossroads running in the middle of the park and rest of the park has been used as a lawn.if the area of the lawn is 2109 sq.m,then what is the width of the road.
Choices:
278
260
278
111
Answer: A
Question: Find the area of the quadrilateral of one of its diagonals is 20 cm and its off sets 5 cm and 4 cm?
Choices:
150 cm2
127 cm2
177 cm2
90 cm2
Answer: D
Question: If x and y are positive integers such that (3x + 7y) is a multiple of 11, then which of the following will be divisible by 11 ?
Choices:
x+y+4
X+2
4X-9Y
Y-5
Answer: C
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 Kmph
86 Kmph
45 Kmph
56 Kmph
Answer: A
Question: Mike, Jim and Bob are all professional fisherman. Mike can catch 18 fish in one hour, Jim can catch twice as much and Bob can catch 50% more than Jim. If the three started to fish together and after 40 minutes Mike and Bob left, how many fish did the three fishermen catch in one hour?
Choices:
84.
86.
98.
112.
Answer: A
Question: Two athletes starting from same place walk in the same direction at a rate of 8 km/hr and 6 km/hr. What time will they take to be 10 km apart ?
Choices:
15 hours
5 hours
4 hours
None of these
Answer: B
Question: Using all the letters of the word "NOKIAS", how many words can be formed, which begin with N and end with S?
Choices:
24
160
80
100
Answer: A
Question: Series till 50 terms: 2+3-5 +2+3-5+.
Choices:
3
5
6
7
Answer: A
Question: Anil brought a scooter for a certain sum of money. He spent 10% of the cost on repairs and sold the scooter for a profit of Rs. 1100. How much did he spend on repairs if he made a profit of 20%?
Choices:
420
250
700
500
Answer: D
Question: The mean of 50 observations was 36. It was found later that an observation 48 was wrongly taken as 23. The corrected new mean is
Choices:
36.5
46.5
16.5
26.5
Answer: A
Question: The roof of an apartment building is rectangular and its length is 5 times longer than its width. If the area of the roof is 720 feet squared, what is the difference between the length and the width of the roof?
Choices:
40.
42.
44.
48.
Answer: D
Question: Paul's income is 40% less than Rex's income, Quentin's income is 20% less than Paul's income, and Sam's income is 40% less than Paul's income. If Rex gave 40% of his income to Sam and 60% of his income to Quentin, Quentin's new income would be what fraction of Sam's new income?
Choices:
13/17
13/19
12/19
27/19
Answer: D
Question: Rahul went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Choices:
19.7
21
23
24
Answer: A
Question: A and B together can complete a work in 3 days. They start together but after 2 days,B left the work.If the work is completed after two more days, find the B alone could do the work?
Choices:
20
6
21
10
Answer: B
Question: Train C and D, 455 miles apart, are traveling toward each other at constant rates and in the same time zone. If train C left at 4 pm traveling at a speed of 60 miles per hour, and train D left at 5:45 pm and traveling at 45 miles per hour, then at what time would they pass each other?
Choices:
9:05 pm
9:07 pm
9:08 pm
9:09 pm
Answer: A
Question: Find the average of the series : 312, 162, 132, 142 and 122?
Choices:
269
927
174
291
Answer: C
Question: During one month at a particular restaurant, 1/6 of the burgers sold were veggie burgers and 1/5 of the rest of the burgers sold were double-meat. If x of the burgers sold were double-meat, how many were veggie burgers?
Choices:
x
2x/3
3x/4
4x/5
Answer: A
Question: In case M is the only individual sewing on committee B, which among the following shouldserve on committee A?
Choices:
V and T
U and S
N and O
T and U
Answer: C
Question: When 2/3 of the garments in the shipment were inspected, 15 of the garments passed inspection and the remaining 5 garments failed. How many of the uninspected garments must pass inspection in order that 80 percent of the garments in the shipment pass?
Choices:
9
8
7
5
Answer: A
Question: If w<0, which of the following must be true?
Choices:
w ≤ –1
w ≤ 1
w^2 ≥ 1/4
–100 < w < 0
Answer: B
Question: If 5 spiders make 2 webs in 8 days, then how many days are needed for 1 spider to make 1 web?
Choices:
15
30
20
16
Answer: C
Question: We made a down payment of $25 and borrowed the balance on a new sofa which cost $250. The balance with interest was paid in 23 monthly payments of $11 each and a final payment of $17. The amount of interest paid was what percent of the amount borrowed?
Choices:
20%
25%
27%
30%
Answer: A
Question: Rs.500 amounts to Rs.670 in 5 years at simple interest. If the interest is increased by 2%, it would amount to how much?
Choices:
550
760
450
260
Answer: A
Question: A Man travelled a distance of 51 km in 9 hours. He travelled partly on foot at 4 km/hr and partly on
bicycle at 9 km/hr. What is the distance travelled on foot?
Choices:
24 km
12 km
10 km
None of these
Answer: A
Question: In a game of billiards, A can give B 20 points in 60 and he can give C 30 points in 60. How many points can B give C in a game of 100?
Choices:
25
88
26
27
Answer: A
Question: If the price of a certain bond on May 1st was 2/3 the price of the bond on June 1st and the price of the bond on July 1st was 50% greater than the price of the bond on May 1st. then the price of the bond on June 1st st was what percent of the average (arithmetic mean) price of the bond on May 1st and July 1st?
Choices:
75%
120%
133 1/3%
150%
Answer: B
Question: At the end of three years what will be the compound interest at the rate of 10% p.a. on an amount of Rs.30000?
Choices:
2888
2776
9930
2718
Answer: C
Question: At what rate percent per annum will a sum of money double in 8 years.
Choices:
12.5%
18.5%
11.5%
12.3%
Answer: A
Question: Ratio between two numbers is 3: 4 and their sum is 420. Find the smaller number?
Choices:
180
160
140
120
Answer: A
Question: A train covers a distance of 12 km in 10 minutes. If it takes 8 seconds to pass a telegraph post, then the length of the train is
Choices:
120m
140m
160m
170cm
Answer: C
Question: A set of numbers has the property that for any number t in the set, t + 2 is in the set. If -1 is in the set, which of the following must also be in the set?
I. 5
II. 1
III. -3
Choices:
II only
I and II only
II and III only
I, II, and III
Answer: B
Question: A father was as old as his son's present at the time of your birth. If the father's age is 44 years now, the son's age 5years back was?
Choices:
12 years
14 years
16 years
17 years
Answer: D
Question: Half the people on a bus get off at each stop after the first, and no one gets on after the first stop. If only one person gets off at stop number 5, how many people got on at the first stop?
Choices:
64
32
16
8
Answer: C
Question: If a is an odd integer and b is an odd integer and a > b which of the following must be an odd integer :
Choices:
ab
2a+b
2(a+b)
option A B and C
Answer: D
Question: The integer K is positive, but less than 400. If 21K is a multiple of 180, how many unique prime factors does K have?
Choices:
2
3
4
5
Answer: B
Question: If f(x)=x^2 and x is a natural number, what CANNOT be the solution to f(f(f(x)))?
Choices:
16384
6561
256
1
Answer: A
Question: The speed of a boat in still water in 22 km/hr and the rate of current is 4 km/hr. The distance travelled downstream in 24 minutes is:
Choices:
10.2 km
10.4 km
9.2 km
None of these
Answer: B
Question: Pumps A, B, and C operate at their respective constant rates. Pumps A and B, operating simultaneously, can fill a certain tank in 1/2 hours; pumps A and C, operating simultaneously, can fill the tank in 1/2 hours; and pumps B and C, operating simultaneously, can fill the tank in 2 hours. How many hours does it take pumps A, B, and C, operating simultaneously, to fill the tank.
Choices:
1/2
1/4
1
5/6
Answer: D
Question: A full stationary oil tank that is a right circular cylinder has a radius of 100 feet and a height of 25 feet. Oil is pumped from the stationary tank to an oil truck that has a tank that is a right circular cylinder until the truck's tank is completely filled. If the truck's tank has a radius of 4 feet and a height of 10 feet, how far (in feet) did the oil level drop in the stationary tank?
Choices:
1
0.4
0.16
0.016
Answer: D
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
6286
2678
1524
Answer: A
Question: The diagonals of a rhombus are 16 cm and 20 cm. Find its area?
Choices:
160
150
238
31
Answer: A
Question: A word consists of 9 letters; 5 consonants and 4 vowels.Three letters are choosen at random. What is the probability that more than one vowel will be selected ?
Choices:
17/42
5/42
3/15
15/47
Answer: A
Question: A shopkeeper sells 600 metres of cloth for Rs. 18000 at a loss of Rs.5 per metre. Find his cost price for one metre of cloth?
Choices:
27
29
35
21
Answer: C
Question: each interior angle of a regular polygon is 120 degrees greator than each exterior angle.how many sides are there in the polygon
Choices:
8
12
16
18
Answer: B
Question: A person borrows Rs. 8000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at 6 p.a for 2 years. Find his gain in the transaction per year.
Choices:
150 rs
160 rs
180 rs
200 rs
Answer: B
Question: Insert the missing number
3, 4, 7, 16, 43, 124, ...
Choices:
367
125
1222
1322
Answer: A
Question: A person can row at 9 kmph and still water. He takes 4 1/2 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 1 kmph?
A. 32 km B. 25 km
Choices:
88 km
44 km
02 km
20 km
Answer: D
Question: If A and B are two prime numbers bigger than 2, which of the following can't be true?
(1) A + B is an even number.
(2) A x B is also a prime number.
(3) A^B is also a prime number.
Choices:
2 only.
3 only.
2 and 3 only.
1, 2 and 3.
Answer: C
Question: A box contains 22 electric bulbs, out of which 4 are defective. Two bulbs are chosen at random from this box. The probability that at least one of these is defective is
Choices:
7/19
12/19
21/99
26/77
Answer: D
Question: How many arrangements can be made if there are 5 balls from which 3 are red, 1 is green, 1 is yellow. find the probability of getting all 3?
Choices:
3/10
6/10
7/10
9/10
Answer: A
Question: Fresh grapes contain 60% by weight while dried grapes contain 20% water by weight. What is the weight of dry grapes available from 30kg of fresh grapes?
Choices:
15 kg
20 kg
25 kg
40 kg
Answer: A
Question: A and B together can do a work in 6 days. If A alone can do it in 15 days. In how many days can B alone do it?
Choices:
10
20
18
12
Answer: A
Question: Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 28,000. What was Simran's share in the profit?
Choices:
Rs. 10,250
Rs. 12,000
Rs. 14,000
None of these
Answer: B
Question: A library has 360 math books; 60 Calculus books, 120 Geometry books, and 180 Algebra books. What percentage of books are Geometry books ?
Choices:
33.3 %
66.7 %
77 %
None of these
Answer: A
Question: Rick deposited $650 to his bank account using $5 and $15 dollar bills only. If Rick came to the bank with 70 bills and left with 10 bills only, how many $15 dollar billsმ did he deposit?
Choices:
25.
50.
35.
65.
Answer: C
Question: What will come in place of the x in the following Number series? 12, 38, 116, 350, 1052, 3158, 9476, 28430,x
Choices:
5464
3456
7554
85292
Answer: D
Question: Ashok and Pyarelal invested money together in a business and share a capital of Ashok is 1/9 of that of Pyarelal.if the incur a loss of Rs 900 then loss of Pyarelal?
Choices:
710
810
900
1000
Answer: B
Question: How many multiples of 2 are there between 1 and 60, exclusive?
Choices:
22
29
26
28
Answer: B
Question: In baseball, the batting average is defined as the ratio of a player’s hits to at bats. If a player had anywhere from 6 to 8 at bats in a recent game and had anywhere from 3 to 4 hits in the same game, the player’s actual batting average for that game could fall anywhere between
Choices:
0.25 and 0.75
0.37 and 0.75
0.33 and 0.50
0.50 and 0.66
Answer: B
Question: A bag marked at $200 is sold for $120. The rate of discount is?
Choices:
25%
20%
50%
40%
Answer: D
Question: It costs $4 for the first 1/4 hour to use the laundry machine at the Laundromat. After the first ¼ hour it costs $10 per hour. If a certain customer uses the laundry machine for 2 hours, how much will it cost him?
Choices:
$22.
$24.
$26.
$28.
Answer: B
Question: $406 is divided among A, B, and C so that A receives half as much as B, and B receives half as much as C. How much money is C's share?
Choices:
$216
$224
$232
$240
Answer: C
Question: Working alone at its constant rate, machine K took 3 hours to produce 1/6 of the units produced last Friday. Then machine M started working and the two machines, working simultaneously at their respective constant rates, took 9 hours to produce the rest of the units produced last Friday. How many hours would it have taken machine M, working alone at its constant rate, to produce all of the units produced last Friday?
Choices:
12
16
21
27
Answer: D
Question: Arun purchased 30 kg of wheat at the rate of Rs. 11.50 per kg and 20 kg of wheat at the rate of 14.25 per kg. He mixed the two and sold the mixture. Approximately what price per kg should be sell the mixture to make 30% profit?
Choices:
16.31
16.32
16.3
16.31
Answer: C
Question: 3 pumps working 8 hours a day, can empty a tank in 2 days. How many hours a day must 4 pumps work to empty the tank in 1 day?
Choices:
11
12
13
15
Answer: B
Question: The length of the bridge, which a train 110 metres long and travelling at 45 km/hr can cross in 30 seconds, is:
Choices:
240
245
250
265
Answer: D
Question: The average (arithmetic mean) of the 5 positive integers k, m, r, s, and t is 18, and k < m < r < s < t. If t is 40, what is the greatest possible value of the median of the 5 integers?
Choices:
23
19
20
22
Answer: A
Question: A reduction of 25% in the price of oil enables a house wife to obtain 5kgs more for Rs.900, what is the reduced price for kg?
Choices:
45
70
80
20
Answer: A
Question: Suppose we have six marbles: 3 blue marbles, 2 red marbles, and one yellow marble. Suppose we are going to put them into three cups: a black cup, a white cup, and a purple cup. We could put all six in any cup and leave two cups empty; or we could put marbles in two cups and leave one cup empty; or we could put some marbles in each of the three cups. How many combinations are possible?
Choices:
220
180
200
240
Answer: B
Question: Which of the following is not divisible by 6?
Choices:
21192
47816
91232
72031
Answer: D
Question: A tour group of 25 people paid a total of $840 for entrance to a museum. If this price included a 5% sales tax, and all the tickets cost the same amount, what was the face value of each ticket price without the sales tax?
Choices
Choices:
$23.94
$32
$25.20
$30
Answer: B
Question: The ratio of three numbers is 3:4:5 and the sum of their squares is 1250. The sum of the numbers is?
Choices:
3
4
6
5
Answer: D
Question: A box measuring 30 inches long by 48 inches wide by 12 inches deep is to be filled entirely with identical cubes. No space is to be left unfilled. What is the smallest number of cubes that can accomplish this objective?
Choices:
80
85
88
90
Answer: A
Question: The length of a bridge in meters, which a train 100-meters long and traveling at 45 km/hr can cross in 30 seconds is?
Choices:
245
275
325
375
Answer: B
Question: When N is divided by T, the quotient is S and the remainder is M. Which of the following expressions is equal to N?
Choices:
S + V
ST + M
T(S+V)
T(S – V)
Answer: B
Question: Three members of a certain club are selected to speak at the next club meeting. If there are 36 different possible selections of the 3 club members, how many members does the club have?
Choices:
6
7
8
11
Answer: D
Question: Mercury travels around the sun at a speed of approximately 30 miles per second. The approximate speed is how many miles per hour?
Choices:
108,000
84,000
72,000
60,000
Answer: A
Question: A certain bag contains 100 balls â€” 50 white, 25 green, 10 yellow, 7 red, and 8 purple. If a ball is to be chosen at random, what is the probability that the ball will be neither red nor purple?
Choices:
0.85
0.6
0.8
0.5
Answer: A
Question: What is the are of an equilateral triangle of side 4 cm?
Choices:
3√3
5√3
4√3
8√3
Answer: C
Question: Two trains are moving at 40 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
Choices:
5/2 sec
61/2 sec
71/6 sec
49/6 sec
Answer: D
Question: What is the least common multiple of 12,15,18,27
Choices:
540
691
385
789
Answer: A
Question: 2 trains starting at the same Ɵme from 2 stations 200 km apart and going in opposite direction cross
each other at a distance of 110 km from one of the stations. What is the ratio of their speeds ?
Choices:
11:9
17:9
21:9
None of these
Answer: A
Question: he 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 Kmph
87 Kmph
56 Kmph
10 Kmph
Answer: A
Question: how much percentage 80 is of 480?
Choices:
14.33
12.5
15.8
16.66
Answer: D
Question: Cream costs twice as much as skim milk. A certain brand of milk is 1/5 cream and 4/5 skim milk. What fraction of the cost of this brand is due to the cream?
Choices:
1/3
1/4
3/4
2/5
Answer: A
Question: City A to city B, Andrew drove for 1 hour at 50 mph and for 3 hours at 60 mph. What was the average speed for the whole trip?
Choices:
57.5
58.9
61.3
67.23
Answer: A
Question: A man can row with a speed of 15 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?
Choices:
15 kmph
20 kmph
22 kmph
25 kmph
Answer: B
Question: The distance between a school and the closest grocery store is approximately 9.2 x 10^4 inches. Which of the following is closest to the distance between the school and the store, in kilometers? (1 kilometer is approximately 3.9 x 10^4 inches.)
Choices:
3.2
2.7
2.4
1.9
Answer: C
Question: In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?
Choices:
40
70
80
30
Answer: B
Question: If 4-X < 2-5X, which of the following is correct?
Choices:
X < -1/2.
X > 5.
-5 < X < 0.
0 < X < 5.
Answer: A
Question: For any number Z, Z* is defined as the greatest positive even integer less than or equal to y. What is the value of 6.30 – 6.30*?
Choices:
0.5
6.25
0.25
0.3
Answer: D
Question: The present population of a town is 3744. Population increase rate is 20% p.a. Find the population of town before 2 years?
Choices:
2600
3500
3600
2050
Answer: A
Question: An association of mathematics teachers has 1,600 members. Only 525 of these members cast votes in the election for president of the association. What percent of the total membership voted for the winning candidate if the winning candidate received 60 percent of the votes cast?
Choices:
58%
42%
14.5%
19.6%
Answer: D
Question: A ratio between two numbers is 5:4 and their L.C.M. is 80. The first number is
Choices:
45
20
15
None
Answer: B
Question: A train 110 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
Choices:
6
7
9
3
Answer: A
Question: Free notebooks were distributed equally among children of a class. The number of notebooks each child got was one-eighth of the number of children. Had the number of children been half, each child would have got 16 notebooks. Total how many notebooks were distributed ?
Choices:
569
123
512
456
Answer: C
Question: The sum of the mean, the median, and the range of the set {5, 7, 9} equals which one of the following values?
Choices:
45
62
22
10
Answer: C
Question: On 8th Feb, 2005 it was Tuesday. What was the day of the week on 8th Feb, 2004?
Choices:
Wednesday
Friday
Monday
Sunday
Answer: D
Question: What is the length of a bridge (in meters), which a train 166 meters long and travelling at 45 km/h can cross in 40 seconds?
Choices:
318
326
334
342
Answer: C
Question: I have Rs.450 in my pocket. I would like to give my mother, my brother and my friend the same amount, how much should I give to each of them?
Choices:
70
90
150
60
Answer: C