antoine-444/aqua_rat_dataset huggingface dataset:
Question: An amount of money is to be distributed among Faruk, Vasim and Ranjith in the ratio 3 : 5 : 9. If Vasims share is Rs. 1500, what is the difference between Faruk's and Ranjith's shares?
Choices:
s 1800
s 1600
s 1900
s 1700
Answer: A
Question: The length of a rectangular floor is more than its breadth by 200%. If Rs. 100 is required to paint the floor at the rate of Rs. 2 per sq m, then what would be the length of the floor?
Choices:
12.25
18
16
14
Answer: A
Question: Seven children — A, B, C, D, E, F, and G — are going to sit in seven chairs in a row. Child C must be somewhere to the left of child D. How many possible configurations are there for the children?
Choices:
1260
2520
3780
5040
Answer: B
Question: When tossed, a certain coin has equal probability of landing on either side. If the coin is tossed 4 times, what is the probability that it will land on the same side each time?
Choices:
1/8
1/16
1/2
1/32
Answer: A
Question: The length of the longest rod that can fit in a cubical room of 4 m side is?
Choices:
100%
120%
110%
101%
Answer: A
Question: A, B and C are entered into a partnership. A invested Rs.6500 for 6 months, B invested Rs.8400 for 5 months and C invested for Rs.10000 for 3 months. A is a working partner and gets 5% of the total profit for the same. Find the share of C in a total profit of Rs.7400?
Choices:
1900
2788
2662
1122
Answer: A
Question: In the coordinate plane, points (x, 2) and (10, y) are on line k. If line k passes through the origin and has slope 1/2, then x + y =
Choices:
7
9
11
12
Answer: B
Question: Rani bought more apples than oranges. She sells apples at ₹23 apiece and makes 15% profit. She sells oranges at ₹10 apiece and makes 25% profit. If she gets ₹653 after selling all the apples and oranges, find her profit percentage X.
Choices:
17.4%
17.9%
18.5%
19.1%
Answer: A
Question: Leo has an average price of Rs.57 on every item in his shopping cart. At the last minute he decided to get rid of apple juice worth Rs. 80 and get orange juice worth Rs. 60. If his shopping cart has 4 items, what is his new average?
Choices:
52
56
57
60
Answer: A
Question: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
Choices:
3467
4567
5189
5184
Answer: D
Question: If in the word 'DISTURBANCE', the first letter is interchanged with the last letter, the second letter is interchanged with the tenth letter and so on, which letter would come after the letter T in the newly formed word ?
Choices:
S
T
R
U
Answer: A
Question: A person travels 12 km in the southward direction and then travels 5km to the right and then travels 15km toward the right and
finally travels 5km towards the east, how far is he from his starting place?
Choices:
3 km
13 km
6.4 km
7.4 km
Answer: A
Question: Company A imported 10,500 widgets made of either brass or aluminum. The widgets are painted blue, red or green. If 10 percent of the widgets are made of brass and of those 20 percent are painted red and 40 percent are painted blue how many brass widgets painted green were imported?
Choices:
840
1050
420
2100
Answer: C
Question: What is the characteristic of the logarithm of 0.0000134?
Choices:
-5
6
-6
7
Answer: A
Question: A farmer has a field that measures 1000 ft wide by 2000 ft long. There is an untillable strip 20 ft wide on the inside edge of the field, and a 30 ft wide untillable strip bisects the field into two squares (approximate). Approximately what percentage of the field is tillable?
Choices:
93%
91%
90%
88%
Answer: A
Question: Rectangle ABCD is constructed in the coordinate plane parallel to the x- and y-axes. If the x- and y-coordinates of each of the points are integers which satisfy 6 ≤ x ≤ 11 and -5 ≤ y ≤ 5, how many possible ways are there to construct rectangle ABCD?
Choices:
1260
825
7920
15840
Answer: B
Question: A committee has 5 men and 6 women. What are the number of ways of selecting a group of eight persons?
Choices:
140
250
987
165
Answer: D
Question: Two clocks were set right at noon on Sunday. One gains 2 min and the other loses 3 min in 24 hours. What will be the true time when the first clock indicates 3 pm on Wednesday?
Choices:
2 : 54 pm
2 : 23 pm
2 : 48 pm
None of these
Answer: A
Question: In a fuel station the service costs $1.75 per car, every liter of fuel costs 0.65$. Assuming that a company owns 12 cars and that every fuel tank contains 50 liters and they are all empty, how much money total will it cost to fuel all cars?
Choices:
380$
420$
450$
411$
Answer: D
Question: Find the value of m 72519 x 9999 = m?
Choices:
353654655
545463251
725117481
477899932
Answer: C
Question: For each of her sales, a saleswoman receives a commission equal to 20 percent of the first $500 of the total amount of the sale, plus 25 percent of the total amount in excess of $500. If the total amount of one of her sales was $800, the saleswoman’s commission was approximately what percent of the total amount of the sale?
Choices:
22%
25%
27%
28%
Answer: A
Question: In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?
Choices:
50400
40500
45000
None of them
Answer: A
Question: The diagonals of a rhombus are 12 cm and 20 cm. Find its area?
Choices:
186
120
179
172
Answer: B
Question: 99,997^2 - 3^2 =
Choices:
(10^5 – 2)^2
10^4(10^5 – 2)
10^5(10^5 – 6)
10^5(10^5 – 2)
Answer: C
Question: The average of first 10 prime numbers is?
Choices:
12.9
12.11
13.11
14.11
Answer: A
Question: Set A contains four different positive odd integers and six different positive even integers. Set B contains two different positive odd integers and three different positive even integers. If one integer from set A and one integer from set B are chosen at random, what is the probability that the product of the chosen integers is even?
Choices:
4/5
17/25
21/25
43/50
Answer: C
Question: A train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
Choices:
150 m
155 m
160 m
170 m
Answer: A
Question: The ratio between the length and the breadth of a rectangular plot is 7 : 5. If the perimeter of the plot is 216 metres, what is its area?
Choices:
1260 sq.metres
2835 sq.metres
3380 sq.metres
None of these
Answer: B
Question: A boy was asked to find 7/9 of x. But he divided the x by 7/9, Thus he got 32more thanthe answer. Find the x.
Choices:
45
59
63
65
Answer: C
Question: A small table has a length of 12 inches and a breadth of b inches. Cubes are placed on the surface of the table so as to cover the entire surface. The maximum side of such cubes is found to be 4 inches. Also, a few such tables are arranged to form a square. The minimum length of side possible for such a square is 20 inches. Find b.
Choices:
16
4
32
48
Answer: B
Question: On the xy-coordinate plane, point A lies on the y-axis and point B lies on the x-axis. Points A, B, and C form a right triangle with a 90-degree angle at point C and the triangle has an area of 30. If AC is parallel to the x-axis, and BC is parallel to the y-axis, which of the following could be the coordinates of point C?
Choices:
(4, -15)
(3, -24)
(-2, 16)
(-6, -12)
Answer: A
Question: A boat crossed a lake from North to East at the speed of 10 km/h, entered a river and covered twice as much distance going upstream at 9 km/h. It then turned around and stopped at the south shore of the lake. If it averaged 3.8 km/h that day, what was its approximate downstream speed?
Choices:
5
6
7
11
Answer: D
Question: From the set of numbers x, y, t, z, p, q, r and w, how many different combinations can we have without the t,p,q and r in them? Ex:. (x,y), (x), (w,z,y,x), etc and (x,y)=(y,x)
Choices:
12
15
16
30
Answer: A
Question: If money is invested at r percent interest, compounded annually, the amount of the investment will double in approximately 50/r years. If Luke's parents invested $13,500 in a long term bond that pays 12 percent interest compounded annually, what will be the approximate total amount of the investment 12 years later, when Luke is ready for college?
Choices:
85,500
95,500
100,500
100,000
Answer: C
Question: A man can row with a speed of 25 kmph in still water. If the stream flows at 15 kmph, then the speed in downstream is?
Choices:
B)38
C)30
D)40
E)45
Answer: C
Question: Starting with 0, a mathematician labels every non-negative integer as one of five types: alpha, beta, gamma, delta, or epsilon, in that repeating order as the integers increase. For instance, the integer 8 is labeled delta. What is the label on an integer that is the sum of an alpha raised to the seventh power and a beta raised to the seventh power?
Choices:
beta
gamma
delta
epsilon
Answer: A
Question: The denominator of a fraction is 3 more than the numerator. If the numerator as well as the denominator is increased by 4, the fraction becomes 4/5. What was the original fraction ?
Choices:
8/11
8/12
8/99
8/17
Answer: A
Question: There are four inns in a town. If 3 men check into the inns in a day, then what is the probability that each checks into a different inn?
Choices:
2/8
3/8
2/3
4/3
Answer: B
Question: If Finn was 18 months old one year ago, how old was he, in months, x months ago?
Choices:
x − 12
18 − x
24 − x
30 − x
Answer: D
Question: $350 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:
$225
$250
$275
$300
Answer: B
Question: A starts business with a capital of Rs.1200 B and C join with some investments after 3 and 6 months respectively. If the end of a year, the profit is divided in the ratio 2:3:5 respectively. What is B's investment in the business?
Choices:
2400
1208
1272
1292
Answer: A
Question: here's an easy question of averages, but let's try to see innovative ways of solving this.
A class has 12 boys and x girls. Average score of boys and girls is 79 and 92 respectively. the average of the whole class is 86, what is the value of x?
Choices:
a) 14
c) 8
d) 10
e) 12
Answer: A
Question: If John invested $ 1 at 5 percent interest compounded annually, the total value of the investment, in dollars, at the end of 5 years would be
Choices:
(1.05)^5
(1.05)^4
1 + (0.05)^4
1 + 4(0.05)
Answer: A
Question: 4, 9, 13, 22, 35, ?
Choices:
27
57
81
43
Answer: B
Question: Diesel costs Rs.4 per lit and petrol costs 4.63 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
3 months
2 months
Answer: D
Question: Each child has 2 pencils and 13 Skittles. If there are 9 children, how many pencils are there in total?
Choices:
12
18
22
08
Answer: B
Question: Of 70 players on a football team, 49 are throwers. The rest of the team is divided so one third are left- handed and the rest are right handed. Assuming that all throwers are right handed, how many right- handed players are there total?
Choices:
59
63
71
92
Answer: B
Question: When n is divided by 13, the remainder is 6. When n is divided by 11, the quotient is equal to Z, and the remainder is equal to 6. Z must be divisible by which of the following numbers?
Choices:
13
15
16
17
Answer: A
Question: A woman has 4 shirts, 5 pants and 2 belts. How many different clothing combinations can she wear?
Choices:
20
40
60
4
Answer: B
Question: if bell rang at a difference of 6,8,12,18,45 sec. respectively.if they start ranging together at 8'o clock morning.then at what time they rang together?
Choices:
6 minute
15/2 minute
1 min. 19 sec.
none of the above
Answer: A
Question: A certain car uses 12 gallons of gasoline in traveling 420 miles. In order for the car to travel the same distance using 10 gallons of gasoline, by how many miles per gallon must the car’s gas mileage be increased?
Choices:
4
6
7
10
Answer: C
Question: There are 18 people in a room. If each person shakes hands with exactly 3 other people, what is the total number of handshakes?
Choices:
24
27
45
54
Answer: B
Question: We have 9 people and 6 chairs. In how many ways chairs can be occupy?
Choices:
3215
5000
4200
3024
Answer: D
Question: Suppose a car can run on ethanol and gas and you have a 15 gallons tank to fill. You can buy fuel that is either 30 percent ethanol or 80 percent ethanol. How much of each type of fuel should you mix so that the mixture is 40 percent ethanol?
Choices:
12
13
14
15
Answer: A
Question: A dog is tied to a tree by a long nylon cord. If the dog runs from the due North side of the tree to the due South side of the tree with the cord extended to its full length at all items, and the dog ran approximately 30 feet, what was the approximate length of the nylon cord S, in feet?
Choices:
25
15
10
5
Answer: C
Question: A person can swim in still water at 6 km/h. If the speed of water 2 km/h, how many hours will the man take to swim back against the current for 14km?
Choices:
3.5
5
9
6
Answer: A
Question: If positive integer k is divided by 10, the quotient is m and the remainder is 2, then which of the following must be true?
I. k + m is even
II. k cannot be a prime number
III. k is divisible by 4
Choices:
None
II
III
I and II only
Answer: A
Question: Six children â€” A, B, C, D, E, and F â€” are going to sit in six chairs in a row. Child E must be somewhere to the left of child F. How many possible configurations are there for the children?
Choices:
180
240
360
720
Answer: C
Question: 250 men work for 16 days and finish a work. How many men would do a job 3 times the previous one in 20 days?
Choices:
666
600
400
800
Answer: B
Question: The food in a camp lasts for 30 men for 40 days. If ten more men join, how many days will the food last?
Choices:
30 days
76 days
88 days
82 days
Answer: A
Question: In an electric circuit, two resistors with resistances D and E are connected in parallel. In this case, if F is the combined resistance of these two resistors, then the reciprocal of F is equal to the sum of the reciprocals of D and E. What is F in terms of D and E?
Choices:
DE/(D + E)
DE
D-E
NONE OF THESE
Answer: A
Question: If 20% of (x-y) = 14% of (x+y), then what percent of x is y?
Choices:
44.4%
22.2%
17.6%
25%
Answer: C
Question: If the average marks of three batches of 47, 60 and 45 students respectively is 50, 55, 60, then the
average marks of all the students is
Choices:
54.93
54.6
54.58
None of these
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.961. Find the cost of each ice-cream cup?
Choices:
Rs.25
Rs.20
Rs.17.50
None of these
Answer: A
Question: If m and n are whole numbers such that mn = 169, then the value of (m – 1)^(n + 1) is:
Choices:
13
169
1728
1628
Answer: C
Question: For any number a, a* is defined as the greatest positive even integer less than or equal to a. What is the value of 5.2 – 5.2*?
Choices:
1.2
1.8
2.2
4.0
Answer: A
Question: A two digit number is divided by the sum of its digits. What is the maximum possible remainder?
Choices:
14
15
16
17
Answer: B
Question: In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither blue nor green?
Choices:
8/21
3/7
9/22
None of these
Answer: A
Question: A child has 36 blue marbles and 10 red marbles, and he kept they into a bag. If he asks you to pick up 3 marbles, what is the probability that all the 3 marbles will be red?
Choices:
2/253
3/253
1/153
2/153
Answer: A
Question: The average of 5 quantities is 6. The average of 3 of them is 4. What is the average of remaining 2 numbers?
Choices:
9
8
9.5
None of these
Answer: A
Question: A train running at the speed of 240 km/hr crosses a pole in 21 seconds. What is the length of the train?
Choices:
1350 m
1400 m
1450 m
1500 m
Answer: B
Question: Rhonda picked 2 pen from the table, if there were 7 pens on the table and 5 belongs to Jill, what is the probability that the 2 pen she picked does not belong to Jill?.
Choices:
2/42
7/42
2/7
5/7
Answer: A
Question: If a/x = 1/3 and a/y =1/ 4, then (x + y) =
Choices:
a/2
6a
7a
9a
Answer: C
Question: Total 75 cows 25 cow gives each 2 liter milk 25 cow gives each 3/4 liter milk 25 cow gives each 1/4 liter milk this is split into 3 son per each 25 cows & 25 liter milk how?
Choices:
12
15
25
18
Answer: C
Question: Jacob 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:
Rs. 440
Rs. 500
Rs. 550
Rs. 650
Answer: B
Question: A box contains TEN bulbs out of which 6 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good?
Choices:
195/210
123/210
154/210
178/210
Answer: A
Question: If r > 1 and s = 2^(r −1), then 4^r =
Choices:
4s^2
s^2
s^2/4
s^2/16
Answer: A
Question: The length of rectangle is thrice its breadth and its perimeter is 104 m, find the area of the rectangle?
Choices:
356 sq m
452 sq m
428 sq m
507 sq m
Answer: D
Question: The average of four consecutive even numbers is 27. find the largest of these numbers?
Choices:
17
30
26
24
Answer: B
Question: The H.C.F. of two numbers is 11 and their L.C.M. is 7700. If one of the numbers is 275, then the other is:
Choices:
283
308
318
415
Answer: B
Question: Mangala completes a piece of work in 8 days, Raju completes the same work in 26 days. If both of them work together, then the number of days required to complete the work is?
Choices:
6 days
8 days
10 days
12 days
Answer: A
Question: A rainstorm increased the amount of water stored in State J reservoirs from 5 billion gallons to 7.5 billion gallons. If the storm increased the amount of water in the reservoirs to 55 percent of total capacity, approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm?
Choices:
6.9
2.5
3.0
4.4
Answer: A
Question: A part of certain sum of money is invested at 8% per annum and the rest at 12% per annum, if the interest earned in each case for the same period is equal, then ratio of the sums invested is?
Choices:
3:2
4:3
4:0
4:9
Answer: A
Question: Find the numbers which are in the ratio 3:2:4 such that the sum of the first and the second added to the difference of the third and the second is 21?
Choices:
4,4,22
9,3,32
9,6,12
9,2,23
Answer: C
Question: A rectangle has 20 meter length and 15 meter breadth. Find ratio between area of rectangle and square whose side is same with rectangle's length.
Choices:
3 : 4
4 : 5
2 : 3
2 : 5
Answer: A
Question: Of the science books in a certain supply room, 40 are on botany, 65 are on zoology, 90 are on physics. 50 are on geology, and 110 are on chemistry. If science books are removed randomly from the supply room, how many must be removed to ensure that 80 of the books removed are on the same science?
Choices:
159
166
314
324
Answer: C
Question: Amanda sees a sale for 30% off all items, she sees a dress on sale that originally cost $50. How much will it cost Amanda to buy the dress after the sale amount of 30% has been take off?
Choices:
$35
$50
$65
$15
Answer: A
Question: A car rental company charges for mileage as follows: x dollars per mile for the first n miles and x + 1 dollars per mile for each mile over n miles. How much will the mileage charge be, in dollars, for a journey of d miles, where d > n ?
Choices:
d( x + 1) – n
xn + d( x + 1)
x( n + d) – d
(x + 1)( d – n)
Answer: A
Question: What is the smallest possible common multiple of three integers, all larger than 53?
Choices:
54.
846.
19,656.
21,924.
Answer: A
Question: John makes $60 a week from his job. He earns a raise and now makes $80 a week. What is the % increase?
Choices:
33.33%
17%
17.61%
17.56%
Answer: A
Question: 125.62+6.325+14.4=?
Choices:
287.36
146.345
125.69
784.36
Answer: B
Question: Solve for x: 2x â€“ y = (3/4)x + 5.
Choices:
4(y + 5)/5
(y + 6)
4(y - 6)/5
5/4(y-6)
Answer: A
Question: The ratio of the incomes of A and B is 2:3 and the ratio of their expenditure is 1:2. If at the end of the year, each saves $500 then the income of A is?
Choices:
$1000
$1200
$900
$1100
Answer: A
Question: John has 10pairs of dark blue socks and 10pairs of black socks. He keeps them all in the same bag. If he picks out 3socks at random, then what is the probability thathe will get a matching pair?
Choices:
1
2
3
4
Answer: A
Question: John and Cindy were each given X dollars in advance for each day they were expected to perform at a community festival. John eventually performed on all 20 days of the festival, while Cindy performed on 5 fewer days than John performed. If Cindy gives John y dollars of her advance payment so that they would have each received the same daily rate, what was John paid in advance, in terms of Y?
Choices:
7Y
10Y
12Y
5Y
Answer: A
Question: A student completes a 3 part exam as follows. The student completes sections A in 18 minutes and takes an equal time to complete the two remaining sections. What is the ratio of time spent on section C to section A if the total duration is 1 hour?
Choices:
5:4
6:5
7:6
8:7
Answer: C
Question: The ages of Patrick and Michael are in the ratio of 3 : 5 and that of Michael and Monica are in the ratio of 3 : 5. If the sum of their ages is 145, what is the difference between the ages of Patrick and Monica?
Choices:
48
45
72
18
Answer: A
Question: Adam's mother is 26 years older than him. Next year, however, she will be 3 times older than her son. How old is Adam's mother?
Choices:
36 years
37 years
38 years
39 years
Answer: C
Question: If 'y' is a positive integer exactly divisible by 4 or 5 but not divisible by 8.What could possibly be the value of 'y' ?
Choices:
80
20
24
36
Answer: B
Question: Lola has $240.00 in her checking account. She spent $180.00. What percentage does she have left in her account ?
Choices:
50 %
40 %
55 %
None of these
Answer: D
Question: Solution Y is 20 percent liquid X and 80 percent water. If 2 kilograms of water evaporate from 8 kilograms of solution Y and 2 kilograms of solution Y are added to the remaining 6 kilograms of liquid, what percent of this new solution is liquid X?
Choices:
21 1/2%
22%
24%
25%
Answer: D
Question: After harvest, out of a total of N apples from an orchard, if 1/4 of those tested had infection A and, of those with infection A, 1/2 also had infection B, how many apples did not have both infection A and B?
Choices:
7N/8
14N/15
N/5
4N/5
Answer: A
Question: Of the numbers, average of the first five is 16 and that of the last five is 20. if the last number is 20. find the first number?
Choices:
0
24
26
28
Answer: A
Question: Mixture A is 10 percent alcohol, and mixture B is 40 percent alcohol. If the two are poured together to create a 4-gallon mixture that contains 20 percent alcohol, approximately how many gallons of mixture A are in the mixture?
Choices:
1.6
1.8
1.9
2.0
Answer: A
Question: In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?
Choices:
205
204
209
300
Answer: C
Question: A wholesale tea dealer 408 kilograms, 468 kilograms and 516 kilograms of three different qualities of tea. He wants it all to be packed into boxes of equal size without mixing. Find the capacity of the largest possible box?
Choices:
36
24
12
20
Answer: C
Question: If $10,000,000 is the initial amount placed in an account that collects 7% annual interest, which of the following compounding rates would produce the largest total amount after two years?
Choices:
compounding quarterly
compounding daily
compounding monthly
All four of these would produce the same total
Answer: B
Question: What is the probability that the sum of two dice will yield a 9, and then when both are thrown again, their sum will again yield a 9? assume that each die has 8 sides with faces numbered 1 to 8.
Choices:
1/64
1/12
1/6
1/3
Answer: A
Question: The greatest number of four digits which is divisible by 7, 10, 40 and 60 is:
Choices:
9300
9400
8400
7400
Answer: C
Question: A restaurant spends one quarter of its monthly budget for rent and half of the rest for food and beverages. What percentage of the budget does the restaurant spend for food and beverages?
Choices:
32.5%
35%
37.5%
75%
Answer: C
Question: Out of 420 students of a school, 325 play football, 175 play cricket and 50 neither play football nor cricket. How many students play both football and cricket ?
Choices:
150
130
180
220
Answer: B
Question: The number of students in 3 classes is in the ratio 2:3:4. If 12 students are increased in each class this ratio changes to 8:11:14. The total number of students in the three classes in the beginning was
Choices:
162
96
54
None
Answer: A
Question: Find a 5-digit integer whose value is equal to the sum of the factorials of its own digits.
Choices:
40585
42585
44585
30585
Answer: A
Question: A metallic sphere of radius 12 cm is melted and drawn into a wire, whose radius of cross section is 16 cm. What is the length of the wire?
Choices:
9
7
6
4
Answer: A
Question: By weight, liquid X makes up 0.7 percent of solution P and 1.2 percent of solution Q. If 200 grams of solution P are mixed with 800 grams of solution Q, then liquid X accounts for what percent of the weight of the resulting solution?
Choices:
1.1%
1.0%
0.9%
0.8%
Answer: A
Question: A line has a slope of 3/4 and intersects the point (-12, -39). At which point E does this line intersect the x-axis?
Choices:
(40,0)
(0,40)
(40,30)
(0,30)
Answer: A
Question: A bag contains 6 black and 7 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
Choices:
4/3
4/5
4/9
7/13
Answer: D
Question: There can be myriad ways to create a palindrome. One day, I thought of making my own palindrome. I thought of a number and then decided to add the reversed number to it. Sadly, I did not get a palindrome.
So I kept repeating this step and eventually I succeeded in creating a palindrome. I don't know if you can always create a palindrome using this method but I was able to generate one of four digits.
Can you tell me the number at which I started?
Choices:
192
185
167
120
Answer: A
Question: A man buys an article for rs.27.50 and sells it for rs.28.50. Find the gain value.
Choices:
3.63
1.1
2.58
5.63
Answer: B
Question: Divide Rs. 1500 among A, B and C so that A receives 1/3 as much as B and C together and B receives 2/3 as A and C together. A's share is?
Choices:
375
450
350
600
Answer: A
Question: Eight people went to a restaurant for dinner. Seven of them spent $8 each on their meals and the eighth spent $7 more than the average expenditure of all eight people. What was the total amount of money that the eight people spent?
Choices:
$72
$78
$81
$84
Answer: A
Question: The radius of the base of cone is 3 cm and height is 4 cm. Find the volume of the cone?
Choices:
12
97
15
91
Answer: A
Question: In a school 20% of the boys are same in number as 1/4th of the girls. what is the ratio of boys to the girls in the school?
Choices:
5:4
1:4
3:7
2:5
Answer: A
Question: Find the cube root of 185193.
Choices:
57
99
17
01
Answer: A
Question: A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs 8 g/cm3 , then the weight of the pipe is
Choices:
3.696 kg
36 kg
36.9 kg
None of these
Answer: A
Question: The Smallest number which when diminished by 7, is divisible by 12,16,18,21 and 28 is :
Choices:
1015
1022
1032
None of these
Answer: A
Question: How many of the positive factors of 24 are not factors of 27
Choices:
6
4
1
5
Answer: A
Question: There is 60 lit of milk and water in which milk forms 84%.Howmuch water must be added to this solution to make it solution in which milk forms 60%
Choices:
19.75
20.75
21.75
24
Answer: D
Question: A Mango costs Rs 25 each and a apple costs Rs. 21 each. If I spend Rs 71 on total what is the number of mango I purchased?
Choices:
6
2
10
8
Answer: B
Question: 1/2 is what percent of 1/3
Choices:
150%
250%
300%
None of these
Answer: A
Question: If 18 men take 15 days to to complete a job, in how many days can 24 men finish that work?
Choices:
10
12
13
14
Answer: A
Question: A box contains four gold coins, of which two coins have heads on both their faces, one coin has tail on both its faces and the fourth coin is a normal one. A coin is picked at random and then tossed. If head is the outcome of the toss, then find the probability that the other face (hidden face) of the coin tossed is also a head.
Choices:
4/5
2/5
1/5
3/4
Answer: A
Question: a making a cube with dimension 5*5*5 using 1*1*1 cubes.what is the number of cubes needed to make hollow cube looking of the same shape.
Choices:
98
100
101
102
Answer: A
Question: A can finish a piece of work in 5 days. B can do it in 25 days. They work together for four days and then A goes away. In how many days will B finish the work?
Choices:
1 day
2 days
4 days
5 days
Answer: A
Question: In a 20 litre mixture ratio of milk and water is 3:1.how much milk should added so that mixture ratio Become 4:1?
Choices:
2
8
6
5
Answer: D
Question: In the xy-coordinate plane, the graph of y = -x^2 + 9 intersects line L at (p,4) and (t,-7). What is the least possible value of the slope of line L?
Choices:
2
-2
-6
-5.5
Answer: D
Question: Which greatest possible length can be used to measure exactly 15 meter 75 cm, 11 meter 25 cm and 7 meter 65 cm
Choices:
255cm
244cm
55cm
280cm
Answer: A
Question: 12500 shares, of par value Rs. 20 each, are purchased from Ram by Mohan at a price of Rs. 25 each. If Mohan further sells the shares at a premium of Rs. 11 each, find his gain in the transaction.
Choices:
75000
77000
74000
70000
Answer: A
Question: In a box of 7 pencils, a total of 2 are defective. If a customer buys 3 pencils selected at random from the box, what is the probability that neither pencils will be defective?
Choices:
1/5
2/3
2/7
1/7
Answer: C
Question: Two trains of length 100 m and 300 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. In how much time will the trains cross each other?
Choices:
80/7 sec
40/7 sec
100/7 sec
90/7 sec
Answer: C
Question: Machine Q and machine B are each used to manufacture 660 sprockets. It takes machine Q 10 hours longer to produce 660 sprockets than machine B. Machine B produces 10 percent more sprockets per hour than machine Q. How many sprockets per hour does machine Q produces?
Choices:
6
60
100
110
Answer: A
Question: If the price of gold increases by 50%, find by how much the quantity of ornaments must be reduced, so that the expenditure may remain the same as before?
Choices:
33 1/3 %
30%
19%
29%
Answer: A
Question: For a light that has an intensity of 60 candles at its source, the intensity in candles, S, of the light at a point d d feet from the source is given by the formula S=60k/d^2 60, where k is a constant. If the intensity of the light is 15 candles at a distance of 2 feet from the source, what is the intensity of the light at a distance of 20 feet from the source?
Choices:
3/20 candles
1 1/3 candles
2 candles
3 candles
Answer: A
Question: The number of new words that can be formed by rearranging the letters of the word 'ALIVE' is ?
Choices:
262
119
122
152
Answer: B
Question: Express a speed of 126 kmph in meters per second?
Choices:
35 mps
26 mps
97 mps
16 mps
Answer: A
Question: Which number need to add to 859622 to get a number exactly divisible by 456?
Choices:
353565
757345
454664
859622
Answer: D
Question: A student chose a number, multiplied it by 2, then subtracted 200 from the result and got 110. What was the number he chose?
Choices:
100
155
160
200
Answer: B
Question: If the wheel is 14 cm then the number of revolutions to cover a distance of 4136 cm is?
Choices:
28
17
12
47
Answer: D
Question: An airplane covers 50 miles in 1/5 hours. How many miles can the airplane cover in 5 hours?
Choices:
600
1250
950
1000
Answer: B
Question: We made a down payment of $80 and borrowed the balance on a new cello which cost $500. The balance with interest was paid in 23 monthly payments of $19 each and a final payment of $4. The amount of interest paid was what percent of the amount borrowed?
Choices:
4%
4.5%
5%
5.5%
Answer: C
Question: Find how many positive integers less than 10,000 are there suchthat the sum of the digits of the no. is divisible by 3?
Choices:
2456
2799
3334
3458
Answer: C
Question: Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 20 cm?
Choices:
380 cm2
285 cm2
178 cm2
176 cm2
Answer: A
Question: If [[x]] = x^2 + 2x + 4, what is the value of [[5]]?
Choices:
39
15
19
25
Answer: A
Question: Rahul put his timepiece on the table in such a way that at 6 P.M. hour hand points to North. In which direction the minute hand will point at 9.15 P.M. ?
Choices:
37
27
West
271
Answer: C
Question: The average weight of 20 girls increases by 2 kg when a new girl comes in place of one of them weighing 40 kg. What might be the weight of the new girl?
Choices:
90 kg
80 kg
75 kg
70 kg
Answer: B
Question: The sum of all two digit numbers divisible by 6 is
Choices:
510
710
610
810
Answer: D
Question: there is a circle of radius 5.what is the area of the biggest rectangle that can be cut out of this circle ?
Choices:
50
70
80
90
Answer: A
Question: An inspector rejects 0.08% of the meters as defective, How many meters he examine to reject 2
meteres
Choices:
2400
1400
2500
3500
Answer: C
Question: Jim bought edging to go around a circular garden with a radius of 3 feet. Later he decided to
double the diameter of the garden. How many more feet of edging must he buy?
Choices:
48.84' additional edging
38.84' additional edging
18.84' additional edging
58.84' additional edging
Answer: C
Question: Two numbers have a H.C.F of 14 and a product of two numbers is 2562. Find the L.C.M of the two numbers?
Choices:
150
160
170
183
Answer: D
Question: Exactly 3/5 of the people in the room are under the age of 21, and exactly 5/13 of the people in the room are over the age of 65. If the total number of the people in the room is greater than 50 and less than 100, how many people in the room are under the age of 21?
Choices:
35
39
60
42
Answer: D
Question: 5% people of a village in Sri Lanka died by bombardment, 20% of the remainder left the village on account of fear. If now the population is reduced to 3553, how much was it in the beginning?
Choices:
2776
4400
4675
881
Answer: C
Question: If the sum of the first n positive integers is S, what is the sum of the first n positive integers divisible by 5, in terms of S ?
Choices:
S
2S
2S + 2
5S
Answer: D
Question: A salt manufacturing company produced a total of 5000 tonnes of salt in January of a particular year. Starting from February its production increased by 100 tonnes every month over the previous months until the end of the year. Find its average monthly production for that year?
Choices:
7652
5550
6363
8272
Answer: B
Question: A reduction of 25% in the price of oil enables a house wife to obtain 5kgs more for Rs.800, what is the reduced price for kg?
Choices:
Rs.30
Rs.40
Rs.25
Rs.28
Answer: B
Question: a person travels from his house to office from 09:00am to 11:00 am and covers a distence of 13.4km. find the average speed of the person.
Choices:
20.5km/h
26.8km/h
22.1km/h
20.9km/h
Answer: B
Question: How many Books each of Volume 150 meter cube can be packed into a crate of volume 3000 meter cube?
Choices:
cannot be determined
25
30
35
Answer: A
Question: If the average (arithmetic mean) of the four numbers 23, 15, 32, and (N + 1) is 50, then N =
Choices:
20
121
122
129
Answer: D
Question: At an upscale fast-food restaurant, Shin can buy 3 burgers, 7 shakes, and one cola for $130. At the same place it would cost $164.50 for 4 burgers, 10 shakes, and one cola. How much would it cost for a meal of one burger, one shake, and one cola?
Choices:
$27
$31
$61
It cannot be determined
Answer: C
Question: A sum of money lent out at S.I. amounts to a total of $480 after 2 years and to $680 after a further period of 5 years. What was the initial sum of money that was invested?
Choices:
$380
$400
$420
$440
Answer: B
Question: The HCF of two numbers is 52 and the other two factors of their LCM are 11 and 12. What is the largest number.
Choices:
624
480
504
555
Answer: A
Question: A man invests some money partly in 12% stock at 105 and partly in 8% stock at 88. To obtain equal dividends from both, he must invest the money in the ratio:
Choices:
31 : 27
16 : 15
35 : 44
35 :27
Answer: C
Question: A train covered a certain distance at a uniform speed. If the train had been 6 km/hr faster, it would have taken 4 hour less than the scheduled time. And, if the train were slower by 6 km/hr, the train would have taken 6 hr more than the scheduled time. The length of the journey is:
Choices:
720 km
740 km
600 km
None of these
Answer: A
Question: Of the five numbers in a sequence, the first term is 15,000, and each of the following terms is 20% of the previous term. What is the value range of the five numbers?
Choices:
9,750
9,975
9,984
14,976
Answer: D
Question: How many seconds will a 550 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Choices:
30 sec
33 sec
16 sec
18 sec
Answer: B
Question: A survey was sent to 80 customers, 12 of whom responded. Then the survey was redesigned and sent to another 63 customers, 10 of whom responded. By approximately what percent did the response rate increase from the original survey to the redesigned survey?
Choices:
5%
14%
28%
63%
Answer: A
Question: A train 120 m long is running at a speed of 68 kmph. How long does it take to pass a man who is running at 8 kmph in the same direction as the train?
Choices:
7.2 sec
12 sec
15.2 sec
18 sec
Answer: A
Question: A rectangular photograph is surrounded by a border that is 1 inch wide on each side. The total area of the photograph and the border is M square inches. If the border had been 4 inches wide on each side, the total area would have been (M + 90) square inches. What is the perimeter of the photograph, in inches?
Choices:
10
30
40
50
Answer: A
Question: Mandrake has to choose 4 from 20 people. There are 3 girls, 5 boys , 12 children. What is total probability that he will choose 1G , 2B , 1C?
Choices:
2/27
3/7
4/7
5/7
Answer: A
Question: Compute the perimeter of a square with area 36.
Choices:
24
25
26
29
Answer: A
Question: A teacher gave the same test to three history classes: U, B, and C. The average (arithmetic mean) scores for the three classes were 65, 80, and 77, respectively. The ratio of the numbers of students in each class who took the test was 4 to 6 to 5, respectively. What was the average score for the three classes combined?
Choices:
75
76
77
78
Answer: A
Question: If a tire rotates at 400 revolutions per minute when the car is traveling 120km/h, what is the circumference of the tire?
Choices:
9 meters
8 meters
5 meters
3 meters
Answer: C
Question: How many of the following numbers are divisible by 132?
264, 396, 462, 792, 968, 2178, 5676, 6336
Choices:
5
6
7
8
Answer: A
Question: 15 tennis players take part in a tournament. Every player plays twice with each of his opponents. How many games are to be played?
Choices:
200
210
220
225
Answer: B
Question: If f(x) = 4x − √x and g(x) = x^2, what is f(g(5))?
Choices:
8
16
32
95
Answer: D
Question: The public library has exactly 2 floors. It has 1/2 as many shelves on its 2nd floor as it does on its 1st. If the second floor has 5/6 as many books per shelf as the first floor, what fraction of the library's books are on the first floor?
Choices:
5/14
12/17
9/14
5/6
Answer: B
Question: A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 650 m long?
Choices:
89 sec
27 sec
24 sec
12 sec
Answer: A
Question: Two-third of a positive number and 49/216 of its reciprocal are equal. The number is:
Choices:
7/12
25/144
144/25
146/25
Answer: A
Question: Scott's average (arithmetic mean) golf score on his first four rounds was 28.What score does he need on his fifth round to drop his average score by 2 points?
Choices:
18
78
88
312
Answer: A
Question: If 2^4, 2^3, and 11^3 are factors of the product of 1,452 and w, where w is a positive integer, what is the smallest possible value of w?
Choices:
176
363
396
484
Answer: A
Question: If in a certain code, If NEPOLEAN is written as OBFMPQFO, how can IMPOSING be written?
Choices:
HOJTPQNK
HOJTPQNL
HOJTPQNJ
HOJTPQND
Answer: C
Question: In a City, 35% of the population is composed of migrants, 20% of whom are from rural areas. Of the local population, 48% is female while this figure for rural and urban migrants is 30% and 40% respectively. If the total population of the city is 728400, what is its female population ?
Choices:
324138
378908
277880
379010
Answer: A
Question: Rick deposited $800 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.
55.
65.
Answer: B
Question: Barbata invests $3000 in the National Bank at 5%. How much additional money must she invest at 8% so that the total annual income will be equal to 6% of her entire investment?
Choices:
3000
1000
3600
1500
Answer: D
Question: M is 30% of Q, Q is 20% of P and N is 50% of P. What is M / N
Choices:
3/27
3/21
3/22
3/25
Answer: D
Question: An outgoing batch of students wants to gift a PA system worth Rs 4,200 to their school. If the teachers, offer to pay 50 more than the students and an external benefactor gives three times the teacher's contribution, then how much should the teachers donate?
Choices:
Rs 900
Rs 700
Rs 1200
None of these
Answer: A
Question: In a race of length L metres, Johnson beats Lewis by M metres and Greene by N metres, By how many metres does Lewis beat Greene in the same race ? (M<N)
Choices:
L(L-N) /L-M
L-N
M-N
M+
Answer: A
Question: A local bank that has 12 branches uses a two-digit code to represent each of its branches. The same integer can be used for both digits of a code, and a pair of two-digit numbers that are the reverse of each other (such as 17 and 71) are considered as two separate codes. What is the fewest number of different integers required for the 12 codes?
Choices:
4
12 ( 2 integers 4 codes)
6
7
Answer: B
Question: For any numbers a and b, a#b = ab(2 − b). If a and a#b both represent positive numbers, which of the following could be a value of b?
Choices:
1
3
4
5
Answer: A
Question: In how many ways a committee of 10 men and 8 women can be made out of total of 15 men and 12 women?
Choices:
1001/165
1245/789
3256/789
256/85
Answer: A
Question: Paint needs to be thinned to a ratio of 2 parts paint to 1.5 parts water. The painter has by mistake added water so that he has 6 litres of paint which is half water and half paint. What must he add to make the proportions of the mixture correct?
Choices:
1 litre paint
½ litre water and one litre paint
½ litre paint and one litre water
½ litre paint
Answer: A
Question: Today Joelle opened an interest-bearing savings account and deposited $6,000. If the annual interest rate is 4 percent compounded interest, and she neither deposits nor withdraws money for exactly 2 years, how much money will she have in the account?
Choices:
$6,240.00
$6,450.00
$6,480.00
$6,489.60
Answer: D
Question: Three pipes of same capacity can fill a tank in 8 hours. If there are only two pipes of same capacity, the tank can be filled in?
Choices:
12 hours
03 hours
04 hours
21 hours
Answer: A
Question: Train P crosses a pole in 30 seconds and train Q crosses the same pole in one minute and 15 seconds. The length of train P is three-fourths the length of train Q. What is the ratio of the speed of train P to that of train Q?
Choices:
5:8
5:1
5:3
5:2
Answer: A
Question: If N = 23×34 , M = 22×3×5, then find the number of factors of N that are common with the factors of M.
Choices:
9
8
6
2
Answer: C
Question: The average age of 36 students in a group is 13 years. When teacher's age is included to it, the average increases by one. What is the teacher's age in years ?
Choices:
45 years
51 years
54 years
50 years
Answer: D
Question: The total age of A and B is 12 years more than the total age of B and C. C is how many years younger than A?
Choices:
12
16
18
10
Answer: A
Question: The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 46 kg, then the weight of B is:
Choices:
32 kg
37 kg
34 kg
None of these
Answer: B
Question: Let a be a positive integer. If r is divisible by 2^a and r is also divisible by 3^(2a), then it is possible that r is NOT divisible by
Choices:
3 × 2^a
2 × 3^(2a)
6^a
6^(2a)
Answer: D
Question: The speed at which a man can row a boat in still water is 6 km/hr. If he rows downstream, where the speed of current is 3 km/hr, how many seconds will he take to cover 110 meters?
Choices:
44
48
52
56
Answer: A
Question: A focus group is currently made up of x red balls and y green balls. If 5 red balls and 4 green balls are added to the group, and if one ball is selected at random from the larger focus group, then what is the probability that a green ball is selected?
Choices:
y/x+4
(y+5)/(x+y+9)
(y+4)/(x+y+9)
(x+4)/(x+y+9)
Answer: C
Question: 10^9 - 10^2 is approximation of which of the following?
Choices:
9^8
9^9
9^11
10^9
Answer: D
Question: If x, y, and f are positive numbers such that 10*x/(x+y)+ 20*y/(x+y)=f and if x is less than y, which of the following could be the value of f?
Choices:
12
15
18
30
Answer: C
Question: Find the average of first 8 multiples of 5?
Choices:
15
12.5
22.5
21
Answer: C
Question: MANO,INC recently conducted a survey and found that 100,000 of its customers live in rural areas. if the number of it customers who live in urban areas is 200 percents grater than the numbers of customers who live in rural areas, how many of MANO,INC customers live in urban areas ?
Choices:
216,000
360,000
300,000
540.0
Answer: C
Question: Which of the following inequalities is equivalent to −5 < x < 1?
Choices:
|x + 2| < 3
|x + 3| < 5
|x - 2| < 6
None of the above
Answer: A
Question: How many different arrangements of letters are possible if three letters are chosen from the letters A through H and the letters E and A must be among the letters selected?
Choices:
33
36
39
42
Answer: B
Question: Sachin is younger than Rahul by 4 years. If the ratio of their ages is 7:9, find the age of Sachin
Choices:
24.5
24.3
24.9
14
Answer: D
Question: In a barrel of juice there is 50 liters; in a barrel of beer there are 80 liters. If the price ratio between barrels of juice to a barrel of beer is 3:4, what is the price ratio between one liter of juice and one liter of beer?
Choices:
6:5.
3:1.
4:3.
3:4
Answer: A
Question: On a certain day, Peter's farm harvested 1253 oranges. If Peter distributes his oranges evenly across 9 different retail shops, how many oranges would remain with him.
Choices:
3 oranges
5 oranges
7 oranges
9 oranges
Answer: C
Question: If the radius of a circle is decreased 50%, what happens to the area?
Choices:
20% decrease
75% decrease
40% decrease
50% decrease
Answer: B
Question: In 10 years, P will be as old as Q is now. Ten years ago, Q was twice as old as P was then. How old is P now?
Choices:
20
25
30
35
Answer: A
Question: Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. After how much time will the trains meet?
Choices:
20/8 sec
20/7 sec
20/3 sec
20/3 sec
Answer: B
Question: What is the remainder when 25472 is divided by 2?
Choices:
1
8
7
0
Answer: D
Question: In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
Choices:
63
14
62
72
Answer: A
Question: Find the amount on Rs.8000 in 9 months at 20% per annum, if the interest being compounded quarterly?
Choices:
9261
2788
2999
1722
Answer: A
Question: If the function f(x) is defined for all real numbers x as the maximum value of 2x + 6 and 12 + 3x, then for which one of the following values of x will f(x) actually equal 2x + 4 ?
Choices:
–5
–6
–7
–9
Answer: C
Question: The sum of two numbers is 18 and their difference is 12. Find their product.
Choices:
108
45
325
None
Answer: B
Question: Anup start a bike at 6am. and rides it at 60kmph. Raghu started at 7pm with his car at 75kmph. When will Raghu overtake Anup?
Choices:
9:40am
10:00am
12:00pm
11:00am
Answer: D
Question: a,b and c are positive integers less than or equal to 9. If a,b and c are assembled into the six-digit number aabbcc, which of the following must be a factor of aabbcc?
Choices:
3
7
11
None of these
Answer: C