antoine-444/aqua_rat_dataset huggingface dataset:
Question: Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs.. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business?
Choices:
12 : 15 : 16
42 : 45 : 56
Cannot be determined
None
Answer: A
Question: If a quarter kg of onions costs 70 paise, how many paise will 100 gm cost?
Choices:
28 paise
56 paise
87 paise
15 paise
Answer: A
Question: If 16^y = 2^16, what is y?
Choices:
4
8
10
12
Answer: A
Question: At what rate percent on simple interest will a sum of money double itself in 40 years?
Choices:
2 1/2%
3 9/3%
3 2/3%
3 6/3%
Answer: A
Question: Two bike riders ride in opposite directions around a circular track, starting at the same time from the same point. Biker A rides at a speed of 16 kmph and biker B rides at a speed of 14 kmph. If the track has a diameter of 40 km, after how much time (in hours) will the two bikers meet?
Choices:
6.18 hrs.
4.18 hrs.
1.18 hrs.
7.18 hrs.
Answer: B
Question: Water man has 2 cans of water. The 1st contains 25% water and the rest milk. The 2ndcontains 50% water. How much milk should he mix from each of the containers so as to get 12ltr of water such that the ratio of milk to water is 3 : 5?
Choices:
5 ltr
6 ltr
7 ltr
9 ltr
Answer: B
Question: Of the three-digit integers greater than 600, how many have two digits that are equal to each other and the remaining digit different from the other two?
Choices:
81
80
45
36
Answer: A
Question: A man whose bowling average is 12.4, takes 7 wickets for 26 runs and there by decreases his average by 0.4. the number of wickets taken by him before his last match is?
Choices:
144
145
146
147
Answer: B
Question: The average age of husband, wife and their child 3 years ago was 24 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is
Choices:
40
38
21
31
Answer: D
Question: If two numbers, a and b, are to be chosen from a set of 4 consecutive integers starting with 1 and a set of three consecutive even integers starting with 4, respectively, what is the probability that b/a will not be an integer?
Choices:
1/4
1/3
1/2
2/3
Answer: A
Question: 16384, 8192, 2048, 256, 16, ?
Choices:
8
2
0.5
3
Answer: C
Question: Sari and Ken climb up a mountain. At night, they camp together. On the day they are supposed to reach the summit, Sari wakes up at 06:00 and starts climbing at a constant pace. Ken starts climbing only at 08:00, when Sari is already 600 meters ahead of him. Nevertheless, Ken climbs at a constant pace of 500 meters per hour, and reaches the summit before Sari. If Sari is 50 meters behind Ken when he reaches the summit, at what time did Ken reach the summit?
Choices:
11:15
14:00
15:00
15:30
Answer: A
Question: If 1.5x=0.04y then the value of (y-x)/(y+x) is
Choices:
73/77
7.3/77
7.3/770
7.3/77
Answer: A
Question: 5 OUT OF 1500 PARTS OF EARTH IS SULPHUR. WHAT IS THE PERCENTAGE OF SULPHUR IN EARTH
Choices:
2/9
1/45
1/3
NONE OF THESE
Answer: C
Question: The speed of a car is 100 km in the first hour and 30 km in the second hour. What is the average speed of the car?
Choices:
65 kmph
75 kmph
85 kmph
65 kmph
Answer: D
Question: In how many different W ways can 4 ladies and 4 gentlemen be seated at a round table so that all ladies sit together?
Choices:
288
576
10,080
20,160
Answer: B
Question: In a certain appliance store, each model of television is uniquely designated by a code made up of a particular ordered pair of letters. If the store has 40 different models of televisions, what is the minimum number of letters that must be used to make the codes?
Choices:
7
7
9
10
Answer: B
Question: Walking with 3/5 of my usual speed, I miss the bus by 5 minutes. What is my usual time?
Choices:
26 min
34 min
20 min
15 min
Answer: D
Question: A car covers a distance of 780 km in 6 ½ hours. Find its speed?
Choices:
187 kmph
164 kmph
130 kmph
106 kmph
Answer: C
Question: Statements: Prime school-going children in urban India have now become avid as well as more regular viewers of TV, even in households without a TV. As a result there has been an alarming decline inthe extent of readership of newspapers. Conclusions: 1) Method of increasing the readership of newspapers should be devised. 2) A team of experts should be sent to other countries to study the impact of TV. on the readership of newspapers.
Choices:
Only conclusion II follows
Either I or II follows
Neither I nor II follows
Both I and II follow
Answer: C
Question: Call a number Guardian if it is composite but not divisible by 2, 3, or 5. The three smallest guardian numbers are 49, 77, and 91. There are 168 prime numbers less than 1000. How many Guardian numbers are there less than 1000?
Choices:
100
104
106
108
Answer: A
Question: add 8% of 24 and 10% of 40.
Choices:
10.5
5.5
5.9
8.5
Answer: C
Question: Rajan is sixth from the left end and vinay is tenth from the right end in a row of boys. If there are eight boys between Rajan and Vinay, how many boys are there in the row ?
Choices:
24
88
27
91
Answer: A
Question: I remember during the school days , the teacher asked the class "can you tell me the sum of the first 50 odd numbers ?".
I ran quickly to the teacher and told her "the answer is 2500". The teacher replied "lucky guess".
She then asked me "can you tell me the sum of first 74 odd numbers ?".
I wait for approx 10 seconds and replied with the correct answer.
How can i answer so quickly and whats the correct answer ?
Choices:
0152
3581
5476
9126
Answer: C
Question: The average (arithmetic mean) of 4 different integers is 68. If the largest integer is 90, what is the least possible value of the smallest integer?
Choices:
5
29
30
33
Answer: A
Question: In an examination, it is required to score 32% of the aggregate marks for a student to pass the examination.Raju has scored 250 marks and was declared failed by 22 marks.Find the aggregate marks?
Choices:
750
800
850
900
Answer: C
Question: The monthly incomes of A and B are in the ratio 5 : 2. B's monthly income is 12% more than C's monthly income. If C's monthly income is Rs. 13000, then find the annual income of A?
Choices:
Rs. 180000
Rs. 436800
Rs. 504000
None of these
Answer: B
Question: How many paying stones, each measuring 2 1/2 m * 2 m are required to pave a rectangular court yard 30 m long and 16 1/2 m board?
Choices:
99
21
26
11
Answer: A
Question: A can lay railway track between two given stations in 16 days and B can do the same job in 12 days. With help of C, they did the job in 4 days only. Then, C alone can do the job in?
Choices:
9 3/5
10
11
None of these
Answer: A
Question: 5,7,11,19,?,67,131
Choices:
40
30
35
25
Answer: C
Question: A ladder was rested along a wall of height 5m. If ladder slides 2m away from the wall then ladder touches the foot of the wall .What is the height of the ladder.
Choices:
7.25 mtrs
8.25 mtrs
9.25 mtrs
5.25 mtrs
Answer: A
Question: From January 1, 2015, to January 1, 2017, the number of people enrolled in health maintenance organizations increased by 12 percent. The enrollment on January 1, 2017, was 45 million. How many million people, to the nearest million, were enrolled in health maintenance organizations on January 1, 2015 ?
Choices:
39
40
41
42
Answer: B
Question: When x is divided by y, the quotient is q with remainder r. Which of the following is y in terms of r, x, and q? (Assume both y and q are nonzero.)
Choices:
(x+r)/q
x/q−r
(x−r)/q
xr – q
Answer: C
Question: A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 6250. He sold both the items together for Rs. 32150. What percentage of profit did he make?
Choices:
44.5
40
26
11
Answer: A
Question: Two persons start running simultaneously around a circular track of length 380 m from the same point at speeds of 24 kmph and 28 kmph. When will they meet for the first time any where on the track if they
are moving in the opposite direction ?
Choices:
36
124
26
38
Answer: C
Question: The number 341 is equal to the sum of the cubes of two integers. What is the product of those integers?
Choices:
15
21
30
39
Answer: C
Question: 50 is divided into two parts such that the sum of their reciprocals is 1/12. Find the two parts.
Choices:
22,28
25,25
35,15
30,20
Answer: D
Question: Angelo and Isabella are both salespersons. In any given week, Angelo makes $550 in base salary plus 8 percent of the portion of his sales above $4,000 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:
11,500
25,500
26,500
27,500
Answer: A
Question: What is the 28th digit to the right of the decimal point in the decimal form of 4/11?
Choices:
4
5
6
7
Answer: C
Question: What is the value of(a,y) in (13^-20-a*13^y)=168*13^-22?
Choices:
(0,1)
(-1,22)
(1,-22)
(1,-20)
Answer: C
Question: If the sum of the interior angles of a regular polygon measures up to 1080 degrees, then how many sides does the polygon have?
Choices:
16
8
11
14
Answer: B
Question: In an isoscele right angled triangle, the perimeter is 20 metre. Find its area.
Choices:
9,320 m2
7,980 m2
6,890 m2
None of these
Answer: A
Question: In the expression 51840/x^4, for which of the following values of x will the expression NOT be an integer?
Choices:
1
2
3
5
Answer: D
Question: HCF and LCM two numbers are 12 and 396 respectively. If one of the numbers is 36, then the other number is?
Choices:
66
132
264
364
Answer: B
Question: Find the number of ways in which 4 letters may be selected from the word "Examination"?
Choices:
70
136
330
4264
Answer: B
Question: By selling a book for 250, 20% profit was earned. What is the cost price of the book?
Choices:
B)208
C)230
D)235
E)240
Answer: A
Question: Calculate the ratio between x and y if 90% of x equal to 60% of y?
Choices:
3 : 5
3 : 2
3 : 4
5 : 2
Answer: B
Question: There are 8 students. 4 of them are men and 4 of them are women. If 4 students are selected from the 8 students. What is the probability R that the number of men is equal to that of women?
Choices:
R=18/35
14/35
13/35
12/35
Answer: A
Question: Farm Tax is levied on the 60% of the cultivated Land. The tax department collected total $ 4000 through the farm Tax from the village of Mr. willam. Mr. willam paid only $ 500 as farm tax. The percentage of total land of Mr. willam over the total taxable land of the village is :
Choices:
25%
12.5%
20.83%
none
Answer: C
Question: A train running at the speed of 60 km/hr crosses a pole in 8 seconds. Find the length of the train.
Choices:
133.33
772
252
121
Answer: A
Question: If an article is sold at 18% profit instead of 9% profit, then the profit would be $54 more. What is the cost price?
Choices:
$600
$700
$800
$900
Answer: A
Question: A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B's share?
Choices:
3000
2000
4000
5000
Answer: B
Question: 2, 6, 12, 20, 30, 42, 56, ?
Choices:
67
69
72
75
Answer: C
Question: The following sets each have a mean of 10 and the standard deviations are given in variable form.
Set I = {10, 10, 10, 10, 10, 10}, standard deviation = P
Set II = {6, 6, 6, 14, 14, 14}, standard deviation = Q
Set III = {7, 8, 9, 11, 12, 13}, standard deviation = R
Rank these three standard deviations from least to greatest.
Choices:
P, R, Q
Q, P, R
Q, R, P
R, Q, P
Answer: A
Question: In a graduating class of 238 students, 144 took geometry and 119 took biology. What is the difference between the greatest possible number and the smallest possible number of students that could have taken both geometry and biology?
Choices:
119
113
88
31
Answer: A
Question: A sum was put a simple interest at a certain rate for 2 years. Had it been put at 4% higher rate, it would have fetched Rs. 60 more. The sum is:
Choices:
Rs.750
Rs.820
Rs.940
Rs.900
Answer: A
Question: A and B invests Rs.3000 and Rs.4000 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that year's profit?
Choices:
9:8
9:6
9:1
9:2
Answer: A
Question: The regular price per can of a certain brand of soda is $0.15. If the regular price per can is discounted 10 percent when the soda is purchased in 24-can cases, what is the price of 75 cans of this brand of soda purchased in 24-can cases?
Choices:
$18.00
$10.125
$24.48
$28.80
Answer: B
Question: Line E has the equation 3x + y = 7. Which of the following lines is perpendicular to Line E?
Choices:
y = –3x – 6
y = (1/3)x – 1
y = (–1/3)x + 2
y = (–7/3)x – 5
Answer: B
Question: If the simple interest on a sum of money for 2 years at 5% per annum is Rs. 50, what is the compound interest on the same sum at the rate and for the same time?
Choices:
Rs.51.25
Rs.51.22
Rs.51.98
Rs.51.11
Answer: A
Question: A train travels 125 km in 2.5 hours and 270 km in 3 hours.find the average speed of train.
Choices:
60 kmph
72 kmph
90 kmph
None of these
Answer: B
Question: A car travelling with 2/3 km of its actual speed covers 12km in 2hr 14 min 28 sec find the actual speed of the car?
Choices:
2.96kmph
1.09kmph
45.9kmph
4.8kmph
Answer: B
Question: If m = 3^n, what is the greatest value of n for which m is a factor of 19!
Choices:
8
12
14
16
Answer: A
Question: Sn=1^8+2^8+3^8+----------n^8
find the unit digit of S29
Choices:
5
7
8
9
Answer: D
Question: Two alloys A and B are composed of two basic elements. The ratios of the compositions of the two basic elements in the two alloys are 5 : 3 and 1 : 1, respectively. A new alloy X is formed by mixing the two alloys A and B in the ratio 4 : 3. What is the ratio of the composition of the two basic elements in alloy X ?
Choices:
2 : 3
5 : 2
4 : 3
7 : 9
Answer: C
Question: Ramesh purchased a refrigerator for Rs. 17500 after getting a discount of 20% on the labelled price. He spent Rs. 125 on transport and Rs. 250 on installation. At what price should it be sold so that the profit earned would be 10% if no discount was offered?
Choices:
26888
24475
17600
12778
Answer: B
Question: A certain college party is attended by both male and female students. The ratio of male to female students is 3 to 5. If 6 of the male students were to leave the party, the ratio would change to 1 to 2. How many total students are at the party?
Choices:
72
80
88
96
Answer: D
Question: Two dice are rolled. What is the probability the sum will be greater than 9?
Choices:
1/9.
5/36.
1/6.
1/5.
Answer: A
Question: A man divides $8600 Among 4 Sons, 4 Daughters and 2 Nephews. If each daughter receives four times as much as each nephews and each son receives five times as much as each nephews, how much does each daughter receive?
Choices:
B)$1000
C)$800
D)$1011.76
E)$400
Answer: C
Question: If x, y, and z are negative integers and 3x - 3y = -3z, then which of the following statements must be true?
I.	x = y
II.	x > y
III. x = z
Choices:
I only
II only
III only
None
Answer: B
Question: The area of a rectangle is 15 square centimeters and the perimeter is 16 square centimeters. What are the dimensions of the rectangle?
Choices:
3&5
4&6
5&7
6&8
Answer: A
Question: 6) A marketing firm determined that , of 180 households surveyed, 80 used neither Brand A nor Brand B soap.60 used only Brand A soap and for every household that used both brands of soap, 3 used only brand B soap.how many of the 200 household surveyed used both brands of soap?
Choices:
b) 20
c) 30
d) 10
e) 45
Answer: C
Question: How many ways are there to split a group of 4 students into two groups of 2 students each? (The order of the groups does not matter)
Choices:
3
4
5
6
Answer: A
Question: 40% of the people read newspaper X, 50% read newspaper Y and 10% read both the papers.What percentage of the people read neither newspaper ?
Choices:
20%
22%
16%
30%
Answer: A
Question: The speed of a boat in still water is 60kmph and the speed of the current is 25kmph. Find the speed downstream and upstream?
Choices:
80,80 kmph
85,35 kmph
80,40 kmph
83,40 kmph
Answer: B
Question: If the sum of the 4th term and the 12th term of an arithmetic progression is 12, what is the sum of the first 15 terms of the progression?
Choices:
90
70
60
50
Answer: A
Question: If r and p are two different prime numbers, which of the following is the smallest possible value of r + p?
Choices:
3
5
8
10
Answer: B
Question: In Goshawk-Eurasian nature reserve 30 percent of the birds are Hawks, and 40 percent of the non-Hawks are Paddyfield-Warblers. If there are 25 percent as many Kingfishers as Paddyfield-Warblers in the reserve, then what percent of the birds W in the nature reserve are not Hawks, Paddyfield-Warblers, or Kingfishers?
Choices:
35%
45%
70%
80%
Answer: A
Question: A man rows his boat 70 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
Choices:
6 kmph
5 kmph
8 kmph
7 kmph
Answer: B
Question: A sum of Rs. 2500 amounts to Rs. 3500 in 4 years at the rate of simple interest. What is the rate of interest?
Choices:
9%
5%
6%
10%
Answer: D
Question: The H.C.F of two numbers is 19 and their L.C.M is 4263. If one of the numbers is 399, then the other is?
Choices:
203
204
205
206
Answer: A
Question: Three years ago the average age of a family of seven members was 20 years. A boy have been born, the average age of the family is the same today. What is the age of the boy?
Choices:
A)8
C)6
D)5
E)4
Answer: A
Question: The value of (68.237)2 – (31.763)2 is :
Choices:
36.474
364.74
3647.4
None of these
Answer: C
Question: The price of a mobile was increased by 40 percent. The new price was then decreased by 15 percent. A single increase of what percent is equivalent to these two successive changes?
Choices:
19%
30%
22.5%
15%
Answer: A
Question: Two employees X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
Choices:
B)Rs.220
C)Rs.250
D)Rs.300
E)Rs.350
Answer: B
Question: In how many ways can live boys and three girls sit in a row such that all boys sit together?
Choices:
2880
7276
2786
2661
Answer: A
Question: When the positive integer y is divided by 11, the quotient is z and the remainder 3. When y is divided by 19, the remainder is also 3. What is the remainder when z is divided by 19?
Choices:
3
2
1
0
Answer: D
Question: Divide Rs. 2379 into 3 parts so that their amounts after 2, 3 and 4 years respectively may be equal, the rate of interest being 5% per annum at simple interest. The first part is?
Choices:
3769
8782
828
271
Answer: C
Question: If A,B is 20%,30% smaller than C then how much percentage is B greater than A?
Choices:
11%
12 3/4%
12 1/2 %
13%
Answer: C
Question: A number consists of two digits. If the digits interchange places and the new number is added to the original number, then the resulting number will be divisible by :
Choices:
5
9
11
13
Answer: C
Question: What is the 149th digit to the right of the decimal point in the decimal form of 30/33?
Choices:
6
9
0
1
Answer: B
Question: A, B and C play a cricket match. The ratio of the runs scored by them in the match is A:B = 2:3 and B:C = 2:5. If the total runs scored by all of them are 75, the runs scored by B are?
Choices:
18
99
787
65
Answer: A
Question: The weight of a hollow sphere is directly dependent on its surface area. The surface area of a sphere is 4π·R^2, where R is the radius of the sphere. If a hollow sphere of radius 0.15 cm made of a certain metal weighs 8 grams, a hollow sphere of radius 0.3 cm made of the same metal would weigh how many Q grams?
Choices:
Q=32
64
128
512
Answer: A
Question: Two trains running in the same direction with a speed of 60kph and 50kph having lengths of 200m each. How long it will take the trains to completely pass each other(in seconds)?
Choices:
32.17
54.9
112.98
143.88
Answer: D
Question: 6^9 - 6^2 is approximation of which of the following?
Choices:
9^8
6^9
9^11
9^10
Answer: B
Question: A sum is divided among B, C and D in such a way that for each rupee B gets, C gets 150 paisa and D gets 50 paisa. If the share of C is RS. 40, what is the total amount?
Choices:
75
80
85
90
Answer: B
Question: How many integers from 100 to 800, inclusive, remains the value unchanged when the digits were reversed?
Choices:
60
80
70
90
Answer: C
Question: The product of two numbers is 9375 and the quotient, when the larger one is divided by the smaller, is 15. The sum of the numbers is:
Choices:
395
400
425
Either (a) or (b)
Answer: B
Question: Set A = {1, 2, 3, 4, 5, 6, y}
Which of the following possible values for y would cause Set A to have the smallest standard deviation?
Choices:
2.5
3
3.5
7
Answer: C
Question: 35% of the employees of a company are men. 60% of the men in the company speak French and 40% of the employees of the company speak French. What is % of the women in the company who do not speak French?
Choices:
10%
96%
90.12%
70.77%
Answer: D
Question: A builder decided to build a farm house in 40days. He employed 100men in the beginning and 100 more after 35 days and completed the construction in stipulated time. If he had not employed the additional men , how many days behind schedule would it have been finished?
Choices:
5
10
15
12
Answer: A
Question: In how many ways can 5 boys and2 girls be arranged at a table if 2 girls are never together?
Choices:
287
290
400
480
Answer: D
Question: Walking 7/6 of his usual rate, a boy reaches his school 5 min early. Find his usual time to reach the school?
Choices:
28
99
35
66
Answer: C
Question: 40, 45, 50, 55, 60, 75, 75, 90, 100, 100.
The list above shows the scores of 10 schoolchildren on a certain test. If the standard deviation of the 10 scores is 21.2, rounded to the nearest tenth, how many of the scores are more than 1 standard deviation below the mean of the 10 scores?
Choices:
2
3
4
5
Answer: A
Question: How many diagonals does a polygon with 15 sides have, if one of its vertices does not connect to any diagonal?
Choices:
90
77
88
99
Answer: B
Question: What is the least value of x. So that 1894x is divisible by 3?
Choices:
2
1
6
7
Answer: A
Question: Which of the following number is divisible by 24 ?
Choices:
61212
512216
3125832
None of these
Answer: C
Question: Three positive integers a, b, and c are such that their average is 22 and a ≤ b ≤ c. If the median is (a + 13), what is the least possible value of c?
Choices:
25
26
27
29
Answer: C
Question: If a, b, c are consecutive positive integers and a<b<c, which of the following must be true?
I. c-a=2
II. a-c is positive integer
III. (a+b+c)/3 is an integer
Choices:
II
I and III
II and III
I, II and III
Answer: B
Question: 9.4 , 9.9 , 9.9 , 9.9 , 10.0 , 10.2 , 10.2 , 10.5
The mean and the standard deviation of the 8 numbers shown above is 10 and 0.3 respectively. What percent of the 8 numbers are within 1 standard deviation of the mean?
Choices:
85%
80%
75%
70%
Answer: C
Question: what is the least number by which 15,625 must be divided to get a number perfect square
Choices:
25
24
40
45
Answer: A
Question: The ratio of the adjacent angles of a parallelogram is 5 : 13. Also, the ratio of the angles of quadrilateral is 5 : 6 : 7 : 12. What is the sum of the smaller angle of the parallelogram and the second largest angle of the quadrilateral?
Choices:
134°
156°
224°
None of these
Answer: A
Question: A candidate got 31% of the votes polled and he lost to his rival by 2451 votes. How many votes were cast?
Choices:
6250
6350
6450
6550
Answer: C
Question: Calculate the area of a triangle, if the sides are 30 cm, 21 cm and 10 cm, what is its area?
Choices:
105 cm2
125 cm2
115 cm2
135 cm2
Answer: A
Question: total 48 matches are conducted in Knockout match type. How many players will be participated in that tournament?
Choices:
47
40
42
47
Answer: D
Question: A will was written such that an estate would be divided among five beneficiaries with the remainder donated to charity. One stipulation in the will is that no one beneficiary can receive an amount within 10% of another's amount. If one of the beneficiaries received $10,000, what is the smallest possible range between the highest and lowest amounts (rounded to the nearest dollar) among the five beneficiaries?
Choices:
$3395
$2892
$3736
$23436
Answer: A
Question: Find the average of all prime numbers between 30 and 50?
Choices:
39.8
12.4
17.9
20.9
Answer: A
Question: A train 60 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
8
2
3
Answer: D
Question: a pizza which is thin is cut into 'x' pieces by 4 straight lines then the lowest possible value of x is?
Choices:
4
5
6
7
Answer: B
Question: A one-foot stick is marked in 1/3 and 1/5 portion. How many total markings will there be, including the end points?
Choices:
7
6
5
8
Answer: D
Question: A person takes 5hrs 45 min in walking to a place and riding back. He would have gained 3hrs by riding both ways. The time he would take to walk both ways is?
Choices:
5 hours 55 min
6 hours 45 min
8 hours 45 min
9 hours
Answer: C
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
2773
288
2774
Answer: A
Question: A survey was sent to 70 customers, 7 of whom responded. Then the survey was redesigned and sent to another 63 customers, 9 of whom responded. By approximately what percent did the response rate increase from the original survey to the redesigned survey?
Choices:
6%
4%
28%
63%
Answer: B
Question: A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good.
Choices:
125/186
125/126
125/186
125/128
Answer: B
Question: S is a set containing 8 different positive odd primes. T is a set containing 7 different numbers, all of which are members of S. Which of the following statements CANNOT be true?
Choices:
The median of T is prime
The median of S is equal to the median of T.
The sum of the terms in S is prime.
The sum of the terms in T is prime.
Answer: C
Question: Total number of students in a class is 95. if the total number of girls in the class is 45, then the ratio of total number if boys to total number girls is
Choices:
7:8
10:9
9:11
8:12
Answer: B
Question: If there are 210 workers in a factory, and on a certain day, 198 were present. Calculate the percentage that showed up for work? (round to the nearest tenth).
Choices:
94.3%
93.3%
92.3%
91.3%
Answer: A
Question: Health insurance Plan P requires the insured person to pay $500 but then the insurance pays 70% of the cost over $500. Plan Q requires the insured to pay the initial $400, but then pays 60% of the cost over $400. Which of the following is a cost level for which both insurance plans pay out the same amount?
Choices:
$800
$900
$1000
$1100
Answer: D
Question: A Pentagon marked P,Q,R,S and T on its five sides. five colors, black, brown,blue,violet and white are used to paint the five sides of the pentagon. If the adjacent faces are painted with the different colors, in how many ways can the pentagon be painted?
Choices:
5
12
6
3
Answer: A
Question: If goods be purchased for Rs.840 and one-fourth be sold at a loss of 20% at what gain percent should the remainder be sold so as to gain 20% on the whole transaction?
Choices:
163 1/3%
33 1/3%
213 1/3%
133 1/3%
Answer: B
Question: Tom opened a shop investing Rs.30000. Jose joined him 2 months later, investing Rs.45000. They earned a profit of Rs.54000 after completion of one year. What will be Jose's share of profit?
Choices:
21000
22000
25000
30000
Answer: D
Question: Convert the 13/36 m/s into kilometers per hour?
Choices:
2.3 kmph
1.3 kmph
1.7 kmph
3.3 kmph
Answer: B
Question: There is a sequence such that each term is positive integer and each digit of the terms in the sequence has 3 to be ordered, what is the value K of 100th term?
Choices:
192
232
252
342
Answer: D
Question: In the game of Dubblefud, red chips, blue chips and green chips are each worth 2, 4 and 5 points respectively. In a certain selection of chips, the product of the point values of the chips is 12,000. If the number of blue chips in this selection equals the number of green chips, how many red chips are in the selection?
Choices:
2
3
4
5
Answer: B
Question: A large petrol tank has two inlet tubes (a large one and a small one) and one outlet tube. It takes 3 hours to fill the tank with the large inlet tube. On the other hand, it takes 6 hours to fill the tank with the small inlet tube. The outlet tube allows the full tank to be emptied in 9 hours.
What fraction of the tank (initially empty) will be filled in 0.64 hours if all three tubes are in operation? Give your answer to two decimal places (e.g., 0.25, 0.5, or 0.75).
Choices:
1
2
5
6
Answer: A
Question: A train passes a station platform in 36 sec and a man standing on the platform in 24 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
Choices:
180
881
1277
121
Answer: A
Question: Find the value of (950+ 220/900) × 900
Choices:
856945
758965
855220
826450
Answer: C
Question: Find the greatest number that will divided 43,91 and 183 so as to leave the same remainder in each case
Choices:
4
9
13
15
Answer: A
Question: The ratio Q , by volume of soap to alcohol to water in a 76 litre solution is 2: 50: 100 . The solution is then altered by adding more soap, alcohol and water.After this alteration the ratio, by volume of soap to water in the solution doubles whereas the ratio, by volume of soap to water remains the same as before. What COULD BE the resulting volume.
Choices:
78 litres
77 litres
152 liters
304 litres
Answer: B
Question: The length of a rectangular floor is more than its breadth by 200%. If Rs. 324 is required to paint the floor at the rate of Rs. 3 per sq m, then what would be the length of the floor?
Choices:
15
18
16
19
Answer: B
Question: A child must place 4 different toys in 5 different bins. If any of the toys can go in any of the bins, in how many ways can the child place the toys into the bins?
Choices:
5^4
4^6
4^4
6^4-4^6
Answer: A
Question: A tradesman by means of his false balance defrauds to the extent of 20%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
Choices:
24%
44%
46%
84%
Answer: B
Question: Rohan spends 40% of his salary on food, 20% on house rent, 10% on entertainment and 10% on conveyance. If his savings at the end of a month are Rs. 2000. then his monthly salary is
Choices:
Rs. 10000
Rs. 8000
Rs. 4000
Rs. 2000
Answer: A
Question: The radius of the two circular fields is in the ratio 4: 5 the area of the first field is what percent less than the area of the second?
Choices:
39%
38%
36%
26%
Answer: C
Question: The operation is defined for all integers a and b by the equation ab = (a - 1)(b - 1). If x20 = 190, what is the value of x ?
Choices:
12
11
13
14
Answer: B
Question: An uneducated retailer marks all his goods at 50% above the cost price and thinking that he will still make 15% profit, offers a discount of 15% on the marked price. What is his actual profit on the sales?
Choices:
27.50 %
14 %
14.50 %
None
Answer: A
Question: Julie had 90 currency notes in all, some of which are of Rs 80 denomination and the remaining of Rs 50 denomination. The total amount of all these currency notes was Rs. 6000. How much amount (in Rs) did she have in the denomination of Rs 50?
Choices:
35
30
45
40
Answer: D
Question: John bought Bicycles at 6 for Rs 10000.What is the profit or loss Percentage after selling Bicycles at 5 for Rs 10000.
Choices:
50%
20%
60%
None
Answer: B
Question: Look at this series: 70, 71, 76, __, 81, 86, 90, 91, ... What number should fill the blank?
Choices:
71
80
96
84
Answer: B
Question: A container contains 40lit of milk. From this container
4 lit of milk was taken out and replaced by water.
This process was repeated further two times.
How much milk is now contained by the container?
Choices:
29.16 lit
9.16 lit
26.16 lit
16.6 lit
Answer: A
Question: Aravind had $ 2100 left after spending 30 % of the money he took for shopping. How much money did he
take along with him?
Choices:
3000
3400
3700
4000
Answer: A
Question: If s,u, and v are positive integers and 2s=u+2v, which of the following must be true?
i. u>v
ii. u is not equal to v
iii. s=u
Choices:
I only
II only
III only
II and III
Answer: A
Question: If x% of y is 100 and y% of z is 200, then find the relation between x and z.
Choices:
2z = x
z = 2x
None of above
z = 2y
Answer: B
Question: A trader bought a car at 10% discount on its original price. He sold it at a 40% increase on the price he bought it. What percent of profit did he make on the original price?
Choices:
110
112
126
115
Answer: C
Question: Kay and Larry race around a running track. Kay runs at a constant rate of one lap every 9 minutes and Larry runs at a constant rate of one lap every 11 minutes. If they both start at the same time, how many minutes will it take for Kay to get exactly one lap ahead of Larry?
Choices:
43.5
45.5
47.5
49.5
Answer: D
Question: A certain roller coaster ride has between 80 and 110 people waiting in line to board. If riders are let on only in groups of 5 there will be 2 riders that do not get on. If the riders are let on only in groups of 6 all riders will be able to get on the roller coaster. How many riders are in the line?
Choices:
87
90
102
110
Answer: C
Question: If the operation € is defined for all x and y by the equation x € y = 2*x*y, then 8 € (4 € 5) =
Choices:
120
160
640
760
Answer: C
Question: The ratio of the volumes of two cubes is 729 : 343. What is the ratio of their total surface areas?
Choices:
81 : 49
81 : 124
81 : 126
81 : 129
Answer: A
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:
39 sec
36 sec
16 sec
11 sec
Answer: A
Question: In a certain province in France there are 11 cities. If a single road segment connects only two cities, how many road segments are required in order to connect the cities so that each city is connected to all other cities with a single road segment?
Choices:
55
330
143
156
Answer: A
Question: In the number 10,0AB, A and B represent the tens and units digits, respectively. If 11,0AB is divisible by 55, what is the greatest possible value of B × A?
Choices:
5
10
15
25
Answer: C
Question: In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is
Choices:
750 cu. m
7500 cu. m
75000 cu. m
None of these
Answer: A
Question: If a point (x,y) is randomly selected within the square shown in the figure above, (the vertices are on 1,1 1,-1, -1,1 -1,-1) what are
the Q odds that x^2+y^2>1?
Choices:
2. pi/16
3. Q=1-pi/4
4. Q=1-pi/16
5.4-pi
Answer: B
Question: Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. If the faster train passes the slower train in 36 seconds,what is the length of each train?
Choices:
50 m
76 m
58 m
90 m
Answer: A
Question: The probability that A speaks truth is 23/35 and that of B speaking truth is 35/47. What is the probability that they agree in stating the same fact?
Choices:
1553/1645
1257/1835
1903/1735
None of these
Answer: A
Question: The measures of the 2 acute angles of a triangle are in the ratio of 4 : 6. What arethe measures of the 2 angles?
Choices:
70°
110°
120°
54°
Answer: D
Question: Car Z travels 51 miles per gallon of gasoline when driven at a constant rate of 45 miles per hour, but travels 20 percent fewer miles per gallon of gasoline when driven at a constant rate of 60 miles per hour. How many miles does car Z travel on 10 gallons of gasoline when driven at a constant rate of 60 miles per hour?
Choices:
375.2
400
408
440
Answer: C
Question: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
Choices:
3454
4656
3456
5184
Answer: D
Question: The proportion of water to alcohol in Solution A is 4:1 and the proportion of water to alcohol in Solution B is 2:3. If an equal amount of each solution is mixed together, what is the concentration of alcohol in the new solution?
Choices:
40%
41%
42%
43%
Answer: A
Question: The average marks scored by Ganesh in English, Science, Mathematics and History is less than 17 from that scored by him in English, History, Geography and Mathematics. What is the difference of marks in Science and Geography scored by him?
Choices:
50
60
68
None of these
Answer: C
Question: Tea worth Rs.126 per kg are mixed with a third variety in the ratio 1: 1 : 2. If the mixture is worth Rs.133 per kg, the price of the third variety per kg will be
Choices:
Rs.1700
Rs. 175.50
Rs. 155.50
None
Answer: C
Question: In an election, candidate A got 80% of the total valid votes. If 15% of the total votes were declared invalid and the total numbers of votes is 560000, find the number of valid vote polled in favor of candidate.
Choices:
340000
380800
356000
357000
Answer: B
Question: Monica and Miya's age are in 2:5. Find teh age of Monica if the sum of their age is 28.
Choices:
14 years
20 years
8 years
12 years
Answer: C
Question: A boy has twelve trousers and 14 shirts. In how many different ways can he select a trouser and a shirt?
Choices:
287 ways
266 ways
168 ways
121 ways
Answer: C
Question: A bag contains 12 white and 18 black balls. 2balls are drawn in succession. What is the probability that first is white and second is black?
Choices:
36/145
3/145
2/119
2/189
Answer: A
Question: When all the students in a school are made to stand in rows of 45, 40 such rows are formed. If the students are made to stand in rows of 40, how many such rows will be formed ?
Choices:
36
45
40
21
Answer: B
Question: Joe needs to paint all the airplane hangars at the airport, so he buys 360 gallons of paint to do the job. During the first week, he uses 1/4 of all the paint. During the second week, he uses 1/4 of the remaining paint. How many gallons of paint has Joe used?
Choices:
157
175
216
250
Answer: A
Question: If Peter reads at a constant rate of 1 pages every 5 minutes, how many seconds will it take him to read N pages?
Choices:
300
5/2*N
24N
150
Answer: A
Question: If y is 60 percent greater than x, then x is what percent less than y?
Choices:
37.5%
45.5%
50%
55.5%
Answer: A
Question: A reduction of 40% in the price of apples would enable a man to obtain 64 more for Rs.40, what is reduced price per dozen?
Choices:
3
6
7
10
Answer: A
Question: A merchant has 100 lbs of sugar, part of which he sells at 6% profit and the rest at 17% profit. He gains 10 % on the whole. Find how much is sold at 6% profit?
Choices:
40 lbs
30 lbs
50 lbs
64 lbs
Answer: D
Question: When the positive integer x is divided by 9,the remainder is 5.What is the remainder when 6x is divided by 9?
Choices:
1
3
4
6
Answer: B
Question: Find the one which does not belong to that group?
Choices:
36
22
64
4
Answer: B
Question: In a certain province in France there are 17 cities. If a single road segment connects only two cities, how many road segments are required in order to connect the cities so that each city is connected to all other cities with a single road segment?
Choices:
105
330
136
156
Answer: C
Question: A woman has $252,125 in her savings account. What is the least amount of money (in whole number of dollars) that she must add to her account if she wants to split this money evenly among her nine children?
Choices:
$1
$3
$4
$11
Answer: A
Question: If the numerator of a fraction is increased by 20% and its denominator is diminished by 25% value of the fraction is 2/15. Find the original fraction?
Choices:
1/12
1/42
1/15
1/17
Answer: A
Question: how many number x (x being an integer) with 10<=x<=99 are 18 more than sum of their digits?
Choices:
9
8
18
10
Answer: D
Question: x+(1/x) = 3.5 find x^2 + (1/x^2)
Choices:
3.25
10.25
5.25
6.25
Answer: B
Question: What will be the compound interest on a sum of Rs. 35,000 after 3 years at the rate of 12% p.a.?
Choices:
s:14172.48
s:10123.20
s:10123.28
s:10123.12
Answer: A
Question: Tom drives his car at a speed of 40kmph and reaches his destination in 5hrs and John covers the same distance in 8 hours. If speed of Tomis increased by 10kmph and speed of Ram is increased by 15kmph, what would be the difference between the times taken by them to cover the distance?
Choices:
1 hour
3 hour
4 hour
5 hour
Answer: A
Question: A train 490 m long, running with a speed of 63 km/hr will pass a tree in?
Choices:
16 sec
76 sec
15 sec
28 sec
Answer: D
Question: In how many ways the word ENGINEERING can be arranged so that no vowel come together???
Choices:
273000
293000
263000
253000
Answer: A
Question: Car A takes 10 min lesser than Car B which is travelling at an average speed of 40mph to cover a distance of 60 miles. What is the average speed of car A?
Choices:
35
45
50
55
Answer: B
Question: In what ratio should water and wine be mixed so that after selling the mixture at the cost price a profit of 33.33% is made?
Choices:
2:1
1:3
2:3
2:5
Answer: B
Question: In a throw of dice what is the probability of geÆ«ng number greater than 2
Choices:
2/3
1/5
1/6
None of these
Answer: A
Question: Three competing juice makers conducted a blind taste test with mall shoppers. The shoppers could choose to taste any number of the three brands of juices but had to select at least one juice that they liked. If 100 shoppers liked brand J, 200 shoppers liked brand K, 700 shoppers liked brand L, 350 shoppers liked exactly 2 juices, and 50 shoppers liked all three juices, how many shoppers took the taste test?
Choices:
1,000
900
700
550
Answer: D
Question: A man is riding a bike downhill at 18 Km/hr, and uphill at 4 Km/hr, what is his rate?
Choices:
3 Km/Hr
5 Km/Hr
7 Km/Hr
9 Km/Hr
Answer: C
Question: In an examination 40% failed in Hindi, 45% failed in English. If 25% students failed in both the subjects. Then the percentage of failed students is?
Choices:
50%
90%
60%
20%
Answer: A
Question: If Jan 1, 2006 was a Sunday, What was the day of the week Jan 1, 2010?
Choices:
Friday
Tuesday
Saturday
None of these
Answer: A
Question: The daytime telephone rate between two cities is 60 cents for the first 3 minutes and c cents for each additional minute. The total charge is reduced 50 percent on calls made after 10:00 P.M. The cost, in dollars, of a 35-minute call made at 10:30 P.M. between these two cities is:
Choices:
0.5(0.60 + 32c)
0.4(0.60 + 9c)
0.5(0.60 + 0.32c)
0.6(0.60 + 0.35c)
Answer: C
Question: A is faster than B. A and B each walk 24 km. The sum of their speeds is 7 km/hr and the sum of times taken by them is 14 hours. Then, A's speed is equal to?
Choices:
3 km/hr
6 km/hr
9 km/hr
2 km/hr
Answer: A
Question: A committee of 3 people is to be chosen from the president and vice president of four different companies. What is the number of different committees that can be chosen if two people who work for the same company cannot both serve on the committee?
Choices:
24
28
32
40
Answer: C
Question: A and B put in Rs.300 and Rs.400 respectively into a business. A reinvests into the business his share of the first year's profit of Rs.140 where as B does not. In what ratio should they divide the second year's profit?
Choices:
7:5
1:3
8:7
9:10
Answer: D
Question: A, B and C rents a pasture for Rs.841. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should B pay?
Choices:
279
348
371
372
Answer: B
Question: 2/5 of the fish in an aquarium is red and 1/4 of the fish is brown. 1/4of the red fish and 1/5 of the brown fish is male. If the rest of the fish in the aquarium is female, what is the probability that a fish randomly picked from the aquarium is male?
Choices:
3/20
5/16
1/3
2/5
Answer: A
Question: If a^2+b^2=177and ab=54 then find the value of a+b/a-b?
Choices:
3
5
7
9
Answer: B
Question: The bankerâ€™s discount of a certain sum of money is Rs. 60 and the true discount on the same sum for the same time is Rs.54. The sum due is
Choices:
280
360
720
None
Answer: C
Question: Among all sales staff at Listco Corporation, college graduates and those without college degrees are equally represented . Each sales staff member is either a level-1 or level-2 employee. Level-1 college graduates account for 15% of Listco's sales staff. Listco employs 60 level-1 employees, 30 of whom are college graduates. How many sales staff members without college degrees are level-2 employees ?
Choices:
42
56
70
58
Answer: C
Question: M, N and O can do a piece of work in 60, 30 and 20 days respectively. Inhow many days can M do the work if he is assisted by N and O on every third day?
Choices:
12 days
15 days
25 days
30 days
Answer: B
Question: If f(a)=a^2, what is the value of (f(a+b)−f(a))/a ?
Choices:
b
2b+b^2
2a + b
2b - a
Answer: B
Question: Aishwarya was first to board to her flight to delhi.
She forgot her seat number and picks a random seat for herself.
After this, every single person who get to the flight sits on his seat if its available else chooses any available seat at random.
Abhishek is last to enter the flight and at that moment 99/100 seats were occupied.
Whats the probability what Abhishek gets to sit in his own seat ?
Choices:
1/2
2/2
3
None
Answer: A
Question: A person with some money spends1/3 for cloths, 1/5 of the remaining for food and 1/4 of the remaining for travel.He is left with Rs 100/- How much did he have with him in the beginning ?
Choices:
200
250
270
280
Answer: B
Question: How many positive integers less than 5,000 are evenly divisible by neither 14 nor 21?
Choices:
4,475
4,521
4,428
4,349
Answer: D
Question: Ajay can walk 6km in 1 hour. In how many hours he can walk 45km?
Choices:
10hrs
7.5hrs
20hrs
30hrs
Answer: B
Question: The ratio of two numbers is 3:4 and their sum is 28. The greater of the two numbers is?
Choices:
16
18
21
22
Answer: A
Question: Anup was asked to find the value of 7/12 of a sum of money Q. Instead of multiplying the same by 7/12,he divided it by 7/12 and his answer exceeded the correct answer by 95. The correct answer is:
Choices:
89
84
69
49
Answer: D
Question: In a business, A and C invested amounts in the ratio 2:1, whereas the ratio between amounts invested by A and B was 3:2. If Rs. 1,57,300 was their profit, how much amount did B receive ?
Choices:
48400
12387
48213
37882
Answer: A
Question: The sides of a square region, measured to the nearest centimeter, are 10 centimeters long. The least possible value of the actual area of the square region is
Choices:
98.25 sq cm
92.25 sq cm
100.25 sq cm
90.25 sq cm
Answer: D
Question: A division of a company consists of five men and five women. If two of these employees are randomly selected as representatives of the division, what is the probability that both representatives will be female?
Choices:
2/7
2/9
2/11
2/13
Answer: B
Question: Let a be a positive integer. If w is divisible by 2^a and w is also divisible by 3^(2a), then it is possible that w is NOT divisible by
Choices:
3 × 2^a
2 × 3^(2a)
6^a
6^(2a)
Answer: D
Question: Simplify: 839478 x 625
Choices:
524673750
562473750
564273750
None of them
Answer: A
Question: The probability of pulling a black ball out of a glass jar is 1/R. The probability of pulling a black ball out of a glass jar and breaking the jar is 1/Y. What is the probability of breaking the jar?
Choices:
R/Y
Y/X
1/(X+Y)
1/(X-Y)
Answer: A
Question: The average age of the mother and her six children is 13 years which is reduced by 5 years if the age of the mother is excluded. How old is the mother?
Choices:
41
42
43
44
Answer: C
Question: A+B+C = 500
A+C = 200
B+C = 350
--------------
A+B+2C = 550
A+B+C = 500
----------------
C = 50
Answer: A
Choices:
27
26
28
24
Answer: B
Question: An intelligence agency decides on a code of 2 digits selected from 0, 1, 2, …, 9. But on the slip on which the code is hand written allows confusion between top and bottom, because there are indistinguishable. Thus, for example, the code 91 could be confused with 16. How many codes are there such that there is no possibility of any confusion?
Choices:
Required numbers = 80
40
50
89
Answer: A
Question: A rectangular circuit board is designed to have a width of W inches, a length of L inches, a perimeter of P inches, and an area of X square inches. Which of the following equations must be true?
Choices:
2W^2 − PW + 2X = 0
2W^2 − PW − 2X = 0
W^2 + PW + X = 0
W^2 − PW + 2X = 0
Answer: A
Question: If x+y=4, x-y=36, for integers of x and y, x=?
Choices:
20
25
13
42
Answer: A
Question: Gopi gives Rs. 90 plus one turban as salary to his servant for one year. The servant leaves after 9 months and receives Rs. 50 and the turban. Find the price of the turban.
Choices:
36
29
10
70
Answer: D
Question: The length of a side of a hexagon is 4 inches. What is the perimeter?
Choices:
23
24
25
26
Answer: B