antoine-444/aqua_rat_dataset huggingface dataset:
Question: For positive integers n, the integer part of the nth term of sequence D equals n, while the infinite decimal part of the nth term is constructed in order out of the consecutive positive multiples of n, beginning with 2n. For instance, D_1 = 1.2345678…, while D_2 = 2.4681012… The sum of the first seven terms of sequence D is between:
Choices:
29 and 30
30 and 31
31 and 32
32 and 33
Answer: B
Question: An aeroplane covers a certain distance of 420 Kmph in 6 hours. to cover the same distance in 4 2/3 hours, it Must travel at a speed of
Choices:
550 Kmph
540 Kmph
530 Kmph
520 kmph
Answer: B
Question: price of apple mobile is double than samsung and triple than oppo.the mean off all three phone's price is 25000.what is price of samsung.
Choices:
22,000
20,454.54
23,300.33
24,000
Answer: B
Question: The area of a triangle is with base 4m and height 5m?
Choices:
10 m2
27 m2
18 m2
17 m2
Answer: A
Question: an operation * is defined by the equation:
a*b=a-b/a+b, for all numbers a and b such that a is not equal to -b, if a is not equal to -w and a*w=0, then w=?
Choices:
b) -1/a
c) 1/a
d)0
e)a
Answer: D
Question: The ratio between the speeds of two Bullet trains is 7: 8. If the second Bullet train runs 520 kms in 4 hours, then the speed of the first train is:
Choices:
37.25 km/hr.
90.25 km/hr.
113.75 km/hr.
96.25 km/hr.
Answer: C
Question: Of the 600 residents of Clermontville, 35% watch the television show Island Survival, 40% watch Lovelost Lawyers and 50% watch Medical Emergency. If all residents watch at least one of these three shows and 18% watch exactly 2 of these shows, then how many Clermontville residents Z watch all of the shows?
Choices:
108
42
21
-21
Answer: C
Question: If a and b are both negative and ab < b^2, which of the following must be true?
Choices:
a < b < b^2 < a^2
b < a < a^2 < b^2
a^2 < b^2 < b < a
b^2 < a^2 < b < a
Answer: B
Question: The sale price of an article including the sales tax is Rs. 616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 17%, then the cost price of the article is:
Choices:
334
555
664
526
Answer: D
Question: 1000 men have provisions for 15 days. If 200 more men join them, for how many days will the provisions last now?
Choices:
12.0
12.5
12.2
12.1
Answer: B
Question: A fort had provision of food for 150 men for 45 days. After 10 days, 25 men left the fort. The number of days for which the remaining food will last, is:
Choices:
37
54
42
60
Answer: C
Question: The average age of students of a class is 15.7 years. The average age of boys in the class is 16.4 years and that of the girls is 15.4 years. The ration of the number of boys to the number of girls in the class is?
Choices:
3:7
2:5
2:1
2:4
Answer: A
Question: When the smallest of 3 consecutive odd integers is added to four times the largest, it produces a result 731 more than 4times the middle integer. Find the numbers?
Choices:
731
698
710
729
Answer: A
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:
27
25
24
23
Answer: A
Question: All of the stocks on the over-the-counter market are designated by either a 5-letter or a 5-letter code that is created by using the 26 letters of the alphabet. Which of the following gives the maximum number of different stocks that can be designated with these codes?
Choices:
2(26^5)
27(26^4)
26(26^5)
27(26^5)
Answer: A
Question: A pineapple costs Rs 9 each and a watermelon costs Rs. 6 each. If I spend Rs 51 on total what is the number of pineapple I purchased?
Choices:
7
5
3
2
Answer: B
Question: Find the odd man out
3, 7, 15, 27, 63, 127, 255
Choices:
15
27
63
54
Answer: B
Question: How many possible ways can 4 girls (Rebecca, Kate, Ashley) go on a date with 4 boys (Peter, Kyle, Sam)?
Choices:
4
5
6
24
Answer: D
Question: The least number, which when divided by 12, 31, 20 and 54 leaves in each case a remainder of 8 is:
Choices:
488
16748
548
560
Answer: B
Question: One out of every 100 light bulbs are defected. If 2 out of every 10 defected light bulbs have a broken glass and there are 20 broken glass light bulbs in the shipment, how many light bulbs total are there in the shipment?
Choices:
5,000
10,000
50,000
52,000
Answer: B
Question: If a job is complete by a and b in z days,b and c in x days and a and c in y days. In how many days that a,b and c can be work simultaneously?
Choices:
2(xyz/xy+yz+xz)
(xy+yz+xz)/xyz
cannot be determined
2(xy+yz+xz)/xyz
Answer: A
Question: A plane flies 660 km with the wind and 540 km against the wind in the same length of time. If the speed of the wind is 20 km/h, what is the speed of the plane in still air?
Choices:
180 km/h
200 km/h
220 km/h
240 km/h
Answer: B
Question: A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 2 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold?
Choices:
240
289
270
927
Answer: A
Question: A man sells a horse for Rs.1400 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse?
Choices:
2990
1540
8600
7710
Answer: B
Question: What sum of money will produce Rs.70 as simple interest in 4 years at 3 1/2 percent?
Choices:
500
278
270
279
Answer: A
Question: A train running at the speed of 90 km/hr crosses a pole in 9 sec. What is the length of the train?
Choices:
225 m
208 m
988 m
299 m
Answer: A
Question: What is the probability of having 53 Fridays in an ordinary year
Choices:
1/6
1/7
1/8
1/9
Answer: B
Question: Two girls started running simultaneously around a circular track of length 1200 m from the same point at speeds of 30 km/hr and 50 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions?
Choices:
51
52
53
54
Answer: D
Question: Two whole numbers whose sum is 72 cannot be in the ratio
Choices:
3 : 4
4 : 5
5 : 7
None
Answer: A
Question: What is the are of an equilateral triangle of side 16 cm?
Choices:
74√3 cm2
64√3 cm2
64√5 cm2
14√3 cm2
Answer: C
Question: A train is 360 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length.
Choices:
88
27
40
11
Answer: B
Question: 3/8 of 168 * 15 / 5 + X = 549 / 9 + 275
Choices:
147
268
2696
2976
Answer: A
Question: The rental charge for a car is 34 cents for the first 1/4 mile driven and 6 cents for every 1/5 mile driven over the initial 1/4 mile. If a man paid $1.24 in rental charges, how many miles did he drive?
Choices:
3.00
3.25
3.75
4.0
Answer: B
Question: In how many ways can the letters of the word EDUCATION be rearranged so that the relative position of the vowels and consonants remain the same as in the word EDUCATION?
Choices:
4! x 2!
4! x 5!
4! x 6!
7! x 9!
Answer: B
Question: The average of first 6 prime numbers is?
Choices:
11.11
12.11
6.83
14.11
Answer: C
Question: A train passes a station platform in 50 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Choices:
176 m
450 m
187 m
186 m
Answer: B
Question: X, Y and Z can do a work in 6 , 9 and 10 days respectively. They completed the work and got Rs.775. What is the share of Y?
Choices:
250
260
230
245
Answer: A
Question: If six persons sit in a row, then the probability that three particular persons are always together is?
Choices:
1/3
1/5
1/1
1/2
Answer: B
Question: A certain bus driver is paid a regular rate of $18 per hour for any number of hours that does not exceed 40 hours per week. For any overtime hours worked in excess of 40 hours per week, the bus driver is paid a rate that is 75% higher than his regular rate. If last week the bus driver earned $976 in total compensation, how many total hours did he work that week?
Choices:
40
44
48
52
Answer: C
Question: In a group of cows and chickens, the number of legs was 16 more than twice the number of heads. The number of cows was:
Choices:
8
10
12
14
Answer: A
Question: Calculate the cost of e yards of cloth given that the cost of f yards of said cloth is g rupees?
Choices:
Rs.(g*f)
Rs.(eg/f)
Rs.(g/f)
Rs.(e/f)
Answer: B
Question: Calculate the area of a triangle, if the sides are 13 cm, 12 cm and 5 cm, what is its area?
Choices:
35 cm2
30 cm2
32 cm2
31 cm2
Answer: B
Question: There are 100 students in a class. If 14% are absent on a particular day, find the number of students present in the class.
Choices:
36
86
129
11
Answer: B
Question: If x/6 and x/15 are integers, then x must be divisible by -
Choices:
18
30
45
60
Answer: B
Question: If 5 machines can produce 20 units in 10 hours, how long would it take 20 machines to produce 140 units?
Choices:
40 hours
17.5 hours
12 hours
8 hours
Answer: B
Question: In shop contains 500 articles each of a cost of $10. He sold them at a price of $16. If the shop keeper has a order of 200 articles, how much profit he will get?
Choices:
B)2000
C)1500
D)1200
E)600
Answer: C
Question: There are 50 people in a certain community who belong to the local golf club, tennis club or both clubs. If 1 as many people belong to the tennis club as belong to the golf club, what could be the number of people who belong to both clubs?
Choices:
1) 4
3) 17
4) 21
5) 27
Answer: A
Question: A customer pays 65 dollars for a coffee maker after a discount of 20 dollars
What is the original price of the coffe maker?
Choices:
B)$60
C)$70
D)$85
E)$90
Answer: C
Question: A sum of Rs. 2665 is lent into two parts so that the interest on the first part for 8 years at 3% per annum may be equal to the interest on the second part for 3 years at 5% per annum. Find the second sum?
Choices:
1640
1632
2789
6386
Answer: A
Question: The average of six number is 3.95. The average of two of them is 3.4, while the average of the other two is 3.62. what is the average of the remaining two number ?
Choices:
4.6
4.7
4.83
None of these
Answer: C
Question: A began business with Rs.27000 and was joined afterwards by B with Rs.54000. When did B join if the profits at the end of the year were divided in the ratio of 2:1?
Choices:
9
7
8
2
Answer: A
Question: Running at their respective constant rate, machine X takes 2 days longer to produce w widgets than machines Y. AT these rates, if the two machines together produce 5w/4 widgets in 3 days, how many days would it take machine X alone to produce 6w widgets.
Choices:
36
8
10
12
Answer: A
Question: james works in a bakery. He made cookies that cost $2 and made $200. How many customer did he have?
Choices:
85 customers
250 customers
100customers
170 customers
Answer: C
Question: The product of a and b is equal to 11 more than twice the sum of a and b. If b = 7, what is the value of b - a?
Choices:
2
7
24
35
Answer: A
Question: In year Y imported machine tools accounted for 20 percent of total machine-tools sales in the United States, and Japanese imports accounted for 40 percent of the sales of imported machine tools. If the total sales of machine tools imported from Japan that year was x billion dollars, then the total sales of all machine tools in the United States was how many billion dollars?
Choices:
13x
12.5x
14x
14.5x
Answer: B
Question: In how many ways can the integer 84 be expressed as a product of two different positive integers?
Choices:
8
5
4
2
Answer: C
Question: In measuring the sides of a rectangle, one side is taken 8% in excess, and the other 7% in deficit. Find the error percent in the area calculated from these measurements.
Choices:
0.7%
0.44%
0.6%
0.8%
Answer: B
Question: __2A
x__B
____
CC
In the multiplication problem above, A, B, and C represent distinct digits. If the sum of A and B is equal to 4.6, what is the value of C?
Choices:
5.2
4
3
2
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:
4 cm
8 cm
3 cm
9 cm
Answer: D
Question: A train 420 m long, running with a speed of 63 km/hr will pass a tree in?
Choices:
36 sec
17 sec
88 sec
12 sec
Answer: A
Question: If a square mirror has a 20-inch diagonal, what is the approximate perimeter T of the mirror, in inches?
Choices:
60
80
100
120
Answer: A
Question: In a T.V. factory, an average of 60TVs are produced per day for the fist 25days of the months. A few workers fellill for the next five daysreducing the daily avg for the month to58 sets/day . The average production per day for day last 5days is ?
Choices:
39
48
50
52
Answer: B
Question: A certain company had a total annual expenditure of 1.89∗10^7 on employee salaries last year. If the company employed 420 people, what was the average employee salary?
Choices:
$25,000
$35,000
$40,000
$45,000
Answer: D
Question: Which of the following must be an integer if the integer x is divisible by both 18 and 24?
Choices:
x/189
x/126
x/108
x/72
Answer: D
Question: Factory X's bulbs work for over 5000 hours in 78% of cases, whereas factory Y's bulbs work for over 5000 hours in 65% of cases. It is known that factory X supplies 90% of the total bulbs available. What is the chance that a purchased bulb will work for longer than 5000 hours?
Choices:
76.7%
77.4%
75%
73.9%
Answer: A
Question: Positive Integer A gives the remainder of 32 when divided by another positive Integer B. If A/B = 147.64, what is the value of B?
Choices:
75
48
50
12
Answer: C
Question: There are three motor's are available in the office,namely P,Q,& R.Its power consumption is different.Ratio of the power consumption of 3 different motor's 3:4:5.Total power consumption of 3 motor's are 1250 units.Then find out the power consumption of motor R?
Choices:
258.54 UNITS
566.29 UNITS
520.84 UNITS
634.25 UNITS
Answer: C
Question: There is a total of 90 marbles in a box, each of which is red, green, blue, or white. If one marble is drawn from the box at random, the probability that it will be white is 1/3 and the probability that it will be green is 1/5. What is the probability that the marble will be either red or blue?
Choices:
3/5
7/15
11/30
17/30
Answer: B
Question: A can finish a work in 18days and B can do the same work in half the time taken by A. Then, working together what part of the same work they can finish in a day?
Choices:
1/3
1/6
2/5
2/9
Answer: B
Question: The perimeter of one face of a cube is 24 cm. Its volume will be:
Choices:
216cm3
250cm3
625cm3
None of these
Answer: A
Question: There is a single elimination checkers tournament, meaning when one player loses, they are out of the tournament. There are 50 players in the tournament, how many games are played?
Choices:
49
20
10
5
Answer: A
Question: 7 people sit at the round table. In how many ways can we sit them so that Bob and Bill don't sit opposing each other?
Choices:
B)420
C)440
D)460
E)480
Answer: D
Question: Ram professes to sell his goods at the cost price but he made use of 850 grms instead of a kg, what is the gain percent?
A. 11%
Choices:
11 1/8%
17.65%
11 5/9%
11 1/5%
Answer: B
Question: The list price of an article is Rs.65. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is?
Choices:
7%
10%
12%
4%
Answer: D
Question: In a city, the streets are aligned in a grid, where the east-west roads are called 1st Rd, 2nd Rd, 3rd Rd, etc, increasing in number as one moves northward. The north-south roads are called 1st Ave, 2nd Ave, 3rd Ave, etc, increasing in number as one moves eastward. If Bill needs to walk from the corner of 2nd Rd and 3rd Ave to the corner of 8th Rd and 7th Ave in the shortest possible time, how many different routes could he take?
Choices:
180
210
240
270
Answer: B
Question: A tailor trims 4 feet from opposite edges of a square piece of cloth, and 3 feet from the other two edges. If 120 square feet of cloth remain, what was the length of a side of the original piece of cloth?
Choices:
18
24
26
40
Answer: A
Question: 62467 × 9998 = ?
Choices:
627745452
624545077
624545066
625454211
Answer: C
Question: A car travels 25 km an hour faster than a bus for a journey of 500 km. If the bus takes 10 hours more than the car, then the speeds of the bus and the car are
Choices:
25 km/h and 60 km/h, respectively
25 km/h and 50 km/h, respectively
25 km/h and 70 km/h, respectively
None of these
Answer: B
Question: This topic is locked. If you want to discuss this question please re-post it in the respective forum.
If y ≠ 3 and 3r/y is a prime integer greater than 2, which of the following must be true?
I. r = y
II. y = 1
III. r and y are prime integers.
Choices:
None
II only
III only
I and III
Answer: A
Question: In May Mrs Lee's earnings were 90 percent of the Lee family's total income. In June Mrs Lee earned 20 percent more than in May. If the rest of the family's income was the same both months, then, in June, Mrs Lee's earnings were approximately what percent of the Lee family's total income ?
Choices:
92
64
46
355
Answer: A
Question: Find the sum The difference between the compound and S.I. on a certain sum of money for 5 years at 50% per annum is Rs.200 of money?
Choices:
2000
3600
8400
4566
Answer: A
Question: Three carpenters can individually complete a particular task in 3, 4, 5, and 7 hours, respectively. What is the maximum fraction of the task that can be completed in forty-five minutes if two of the carpenters work together at their respective rates ?
Choices:
3/5
11/30
47/90
5/9
Answer: C
Question: A, B, C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much must C pay as his share of rent?
Choices:
Rs. 45
Rs. 55
Rs. 60
Rs. 40
Answer: A
Question: Machine M, N, O working simultaneously Machine M can produce x units in 3/4 of the time it takes machine N to produce the same amount of units. Machine N can produce x units in 1/2 the time it takes machine O to produce that amount of units. If all three machines are working simultaneously, what fraction of the total output is produced by machine N?
Choices:
2/5
4/13
8/29
6/33
Answer: A
Question: A polling company reports that there is a 80% chance that a certain candidate will win the next election. If the candidate wins, there is a 60% chance that she will sign Bill X and no other bills. If she decides not to sign Bill X, she will sign either Bill Y or Bill Z, chosen randomly. What is the chance that the candidate will sign Bill Z?
Choices:
16
6
4
5
Answer: A
Question: Find the least number of complete years in which a sum of money put out at 25% compound interest will be more than double of itself?
Choices:
7 years
9 years
4 years
1 years
Answer: C
Question: Last year, for every 100 million vehicles that travelled on a certain highway, 92 vehicles were involved in accidents. If 3 billion vehicles travelled on the highway last year, how many of those vehicles were involved in accidents? (1 billion = 1,000,000,000)
Choices:
320
2,760
3,200
28,800
Answer: B
Question: Using all the letters of the word "THURSDAY", how many different words can be formed?
Choices:
8!
7!
7
5
Answer: A
Question: If n = 2×3×5×7×11×13×17x19, then which of the following statements must be true?
I. n2 is divisible by 600
II. n + 19 is divisible by 19
III. is even n+4 / 2 = even
IV . n is divisible 35.
Choices:
b- II only
III only
I and III only
none and IV only
Answer: D
Question: Which of the following are/is prime?
I. 143
II. 145
III. 149
Choices:
II only
III
IIII
I, II,III
Answer: A
Question: In a school of 900 students, 44% wear blue shirts, 28% wear red shirts, 10% wear green shirts, and the remaining students wear other colors. How many students wear other colors (not blue, not red, not green)?
Choices:
153
162
171
180
Answer: B
Question: Irin, Ingrid and Nell bake chocolate chip cookies in the ratio of 9.18: 5.17: 2.05. If altogether they baked a batch of 148 cookies, what percent of the cookies did Ingrid bake?
Choices:
1.25%
31.33%
125%
0.152%
Answer: B
Question: 5301 x 13 =?
Choices:
69831
68931
68319
68913
Answer: D
Question: hoose the number pair/group which is different from others.
1. 40 : 50
2. 30 : 36
3. 8 : 10
4. 28 : 35
5. 16 : 20
Choices:
30 : 36
30 : 332
30 : 37
30 : 34
Answer: A
Question: A crate of mangoes contains one bruised mango for every thirty mango in the crate. If three out of every four bruised mango are considerably unsaleble and there are 14 unsaleable mangoes in the crate then how msny mango are there in the crate?
Choices:
110 mangoes
120 mangoes
130 mangoes
140 mangoes
Answer: D
Question: A can do a piece of work in 5 days of 9 hours each and B alone can do it in 5 days of 3 hours each.how long will they take it to do working together
2 1/4 hours a day?
Choices:
3 days
4 days
5 days
6 days
Answer: C
Question: The first year, two cows produced 8100 litres of milk. The second year their production increased by 15% and 10% respectively, and the total amount of milk increased to 9100 litres a year. How many litres were milked from each cow each year?
Choices:
4300, 3800 liters and 4730, 3800 liters
4730, 3800 liters and 4300, 3800 liters
3800, 4300 liters and 4370, 4730 liters
4300, 4370 liters and 3800, 4730 liters
Answer: C
Question: one bottle is half-full of oil and another bottle with twice the capacity is one quarter full of oil. if water is added so that both the bottles are full and the contents of both are then poured into a third bottle that is empty and large enough to hold the contents of both, what fractions of the contents in the third bottle is oil?
Choices:
1/3
3/8
2/3
1/2
Answer: A
Question: The perimeter of a semi circle is 144 cm then the radius is?
Choices:
28
99
77
21
Answer: A
Question: A furniture manufacturer has two machines, but only one can be used at a time. Machine E is utilized during the first shift and Machine B during the second shift, while both work half of the third shift. If Machine E can do the job in 12 days working two shifts and Machine B can do the job in 15 days working two shifts, how many days will it take to do the job with the current work schedule?
Choices:
13
11
9
7
Answer: C
Question: 9+2+2^2+2^3+2^4+2^5=？
Choices:
2^6+1
2^5-1
2^6+7
2^5-2
Answer: C
Question: A salesmanâ€™s terms were changed from a flat commission of 5% on all his sales to a fixed salary of Rs.1000 plus 2.5% commission on all sales exceeding Rs. 4,000. If his remuneration as per new scheme was Rs. 800 more than that by the previous schema, his sales were worth?
Choices:
s. 4,000
s. 30,000
s. 40,000
s. 50,000
Answer: A
Question: A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12400 after a year?
Choices:
3637
3720
3631
3635
Answer: B
Question: A man invested Rs.1552 in a stock at 97 to obtain an income of Rs.128. What is the dividend from the stock?
Choices:
9.7%
7.5%
8%
8.5%
Answer: C
Question: I. a2 + 8a + 16 = 0,
II. b2 - 4b + 3 = 0 to solve both the equations to find the values of a and b?
Choices:
If a < b
If the relationship between a and b cannot be established
If a > b
If a ≥ b
Answer: A
Question: A certain fruit stand sold apples for $0.80 each and bananas for $0.70 each. If a customer purchased both apples and bananas from the stand for a total of $7.30, what total number of apples and bananas did the customer purchase?
Choices:
10
11
12
13
Answer: A
Question: A survey of employers found that during 1993 employment costs rose 3.5 percent, where employment costs consist of salary costs and fringe-benefit costs. If salary costs rose 3 percent and fringe-benefit costs rose 5.5 percent during 1993, then fringe-benefit costs represented what percent of employment costs at the beginning of 1993 ?
Choices:
20%
35%
55%
65%
Answer: A
Question: If integer k is equal to the sum of all even multiples of 35 between 280 and 630, what is the greatest prime factor of k?
Choices:
7
11
13
11*455
Answer: D
Question: Elena’s bread recipe calls for 3 ounces of butter for each 4 cups of flour used. She needs to make 6 times the original recipe. If 12 ounces of butter is used, then how many cups of flour are needed?
Choices:
4
9
13
24
Answer: D
Question: In the coordinate plane, the points F (-2,1), G (1,6), and H (6,1) lie on a circle with center P. What are the coordinates of point P ?
Choices:
(1,1)
(2,2)
(1,-2)
(2.5, -2.5)
Answer: B
Question: An outlet pipe can empty 2/3 rd of a cistern in 12 minutes. In 8 minutes, what part of the cistern will be emptied?
Choices:
4/9
4/2
4/4
4/1
Answer: A
Question: If 2x + y = 6 and x + 2y = 5, then (x + y)/3 =
Choices:
4/3
17/5
11/9
4
Answer: C
Question: A is twice as good as workman as B and together they finish a piece of work in 18 days. In how many days will B alone finish the work.
Choices:
54 days
56 days
68 days
78 days
Answer: A
Question: 30% loss on cost price in what percent loss on selling price?
Choices:
38 %
40.35 %
42.85 %
None
Answer: C
Question: Five years ago, the average age of A, B, C and D was 45 yr. with E joining them now, the average of all the five is 42 yr. How old is E?
Choices:
10 yr
45yr
64 yr
NOne
Answer: A
Question: How much interest can a person get on Rs. 8400 at 17.5% p.a. simple interest for a period of two years and six months?
Choices:
3587.59
3675
3587.52
3587.56
Answer: B
Question: A family consists of two grandparents, two parents and three grandchildren. The average age of the grandparents is 67 years, that of the parents is 35 years and that of the grandchildren is 6 years. What is the average age of the family?
Choices:
31 5/7 years
32 1/7 years
None of these
31
Answer: A
Question: Rosy is 2 years elder than Mary. After 6 years the total of their ages will be 7 times of their current age. Then age of Rosy is :
Choices:
16 Years
17 Years
20 Years
Data inadequate
Answer: D
Question: A train leaves Delhi at 7 a.m. at a speed of 30 kmph. Another train leaves at 2 p.m. at a speed of 40 kmph on the same day and in the same direction. How far from Delhi, will the two trains meet?
Choices:
840
600
888
121
Answer: A
Question: In how many possible ways can 5 people draw water from 5 taps if no tap can be used more than once?
Choices:
120
300
150
600
Answer: A
Question: If a card is randomly drawn from a well shuffled pack of cards, what is the probability of drawing a black card or a heart?
Choices:
7/13
2/3
3/4
11/13
Answer: C
Question: If 102y = 25, then 10-y equals:
Choices:
B)2
C)6
D)9
E)1/5
Answer: D
Question: Sreenivas sells a table to Shiva at 10% profit and Shiva sells it to Mahesh at 10% loss. At what price did Sreenivas purchase the table if Mahesh paid Rs. 2178?
Choices:
Rs.2229
Rs.2200
Rs.2297
Rs.2218
Answer: B
Question: When positive integer e is divided by 13, the remainder is 2. When n is divided by 8, the remainder is 5. How many such values are less than 180?
Choices:
1
2
3
4
Answer: A
Question: Jim is able to sell a hand-carved statue for $750 which was a 35% profit over his cost. How much did the statue originally cost him?
Choices:
$512.40
$555.56
$574.90
$588.20
Answer: B
Question: A fruit seller had some oranges. He sells 40% oranges and still has 420 oranges. How many oranges he had originally?
Choices:
700
750
900
950
Answer: A
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
None
Answer: B
Question: A started a business with an investment of Rs. 70000 and after 6 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 65000, then the share of B is?
Choices:
24000
26000
26000
30000
Answer: D
Question: Fred and Sam are standing 55 miles apart and they start walking in a straight line toward each other at the same time. If Fred walks at a constant speed of 6 miles per hour and Sam walks at a constant speed of 5 miles per hour, how many miles has Sam walked when they meet?
Choices:
9
25
30
45
Answer: B
Question: Two trains are running in opposite directions with the same speed. If the length of each train is 360 m and they cross each other in 12 sec, then the speed of each train is?
Choices:
27
36
99
108
Answer: D
Question: An bus covers a certain distance at a speed of 240 kmph in 5 hours. To cover the samedistance in 1hr, it must travel at a speed of?
Choices:
720 km/hr
870 km/hr
869 km/hr
890 km/hr
Answer: A
Question: Two bullet train s are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower bullet train to cross the faster bullet train in seconds is:
Choices:
78 sec.
68 sec.
48 sec.
88 sec.
Answer: C
Question: Consider the word RMTMR. Whichever way you read it, from left to right or from right to left, you get the same word. Such a word is known as palindrome. Find the maximum possible number of 5 letter palindromes.
Choices:
11755
17576
19775
21899
Answer: B
Question: A bus starts from city X. The number of women in the bus is half of the number of men. In city Y, 16 men leave the bus and eight women enter. Now, number of men and women is equal. In the beginning, how many passengers entered the bus ?
Choices:
30
36
72
46
Answer: C
Question: Find the amount for Rs. 6000 at 10% per annum, compounded semi-annually for 2 years.
Choices:
1293
1273
1263
1253
Answer: A
Question: The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:
Choices:
230
245
250
260
Answer: B
Question: A and B r 2 men who enter into business and they invest Rs 1000, Rs 2000respectively. How will they divide the income of Rs 5000
Choices:
3339,1667
3333,1666
3333,1668
3333,1669
Answer: B
Question: How many positive integers less than 50 are there such that they are multiples of 9?
Choices:
5
4
8
3
Answer: A
Question: For which of the following functions does f(−u)=−f(u) for all real number values of x?
Choices:
−u^6
u^5
u^9/(u^5+1)
1/(x^2+1)
Answer: B
Question: The average of first 10 odd numbers is?
Choices:
10
88
176
12
Answer: A
Question: The ratio between a and y is 7/9; a and y are increased by 4, what is the ratio between the new values of a and y?
Choices:
14/9
7/18
11/13
It Cannot Be Determined
Answer: D
Question: Of the 11 temporary employees in a certain company, 4 will be hired as permanent employees. If 5 of the 11 temporary employees are women, how many of the possible groups of 4 employees consist of 3 women and one man?
Choices:
35
60
70
105
Answer: B
Question: The probability that a visitor at the mall buys a pack of candy is 30%. If three visitors come to the mall today, what is the probability R that exactly two visitors will buy a pack of candy?
Choices:
0.147
0.189
0.063
0.027
Answer: B
Question: A certain industrial loom weaves 0.126 meters of cloth every second. Approximately how many seconds will it take for the loom to weave 15 meters of cloth?
Choices:
115
116
117
119
Answer: D
Question: The difference between a two-digit number and the number obtained by interchanging the digits is 36. What is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is 1 : 2 ?
Choices:
8
16
20
none
Answer: A
Question: The area of a rectangular field is equal to 300 square meters. Its perimeter is equal to 70 meters. Find the length and width of this rectangle.
Choices:
W = 15 and L = 20
W = 25 and L = 42
W = 27 and L = 37
W = 42 and L = 13
Answer: A
Question: Calculate 24 x 99
Choices:
2763
2637
2736
2376
Answer: D
Question: A man buys 50 pens at marked price of 46 pens from a whole seller. If he sells these pens giving a discount of 1% , what is the profit percent?
Choices:
7.6 %
10.6 %
12 %
None of these
Answer: A
Question: The sum of all consecutive odd integers from −23 to 31, inclusive, is
Choices:
112
158
192
235
Answer: A
Question: Jack's toy box contains 13 toy soldiers, 7 model airplanes and 5 dolls. What is the probability that a randomly chosen toy from the box will be either a model airplane or a doll?
Choices:
12/25
(7/25)+(5/24)
20/25
12
Answer: A
Question: If -2<= x <= 2 and 3 <= y <= 5, which of the following represents the range of all possible values of y-x?
Choices:
1 <= y-x <= 7
1 <= y-x <= 6
5 <= y-x <= 10
1 <= y-x <= 10
Answer: A
Question: For what value of x between −8 and 8, inclusive, is the value of x^2 − 10x + 16 the greatest?
Choices:
− 8
0
2
8
Answer: A
Question: Donovan and Michael are racing around a circular 500-meter track. If Donovan runs each lap in 45 seconds and Michael runs each lap in 40 seconds, how many laps will Michael have to complete in order to pass Donovan, assuming they start at the same time?
Choices:
9
11
12
13
Answer: A
Question: A committee of 3 people is to be chosen from the chairman and vice chairman 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
32
34
40
Answer: B
Question: There are 26 girls in hostel whose average age is decreased by 2 months, when one girl 18 yrs is replaced by a new boy.Find the age of new girl.
Choices:
1 year 2 months
4 years 4 months
3 years
None
Answer: B
Question: A crate measures 5 feet by 8 feet by 12 feet on the inside. A stone pillar in the shape of a right circular cylinder must fit into the crate for shipping so that it rests upright when the crate sits on at least one of its six sides. What is the radius, in feet, of the pillar with the largest volume that could still fit in the crate?
Choices:
4
5
8
12
Answer: B
Question: Two persons start running simultaneously around a circular track of length 300 m from the same point at speeds of 10 km/hr and 20 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions ?
Choices:
87 sec
67 sec
36 sec
46 sec
Answer: C
Question: What is the probability that Company W's advertisement will be one of the first two be shown during the first commercial break?
Choices:
1 / 30
1 /15
2 / 15
4 /15
Answer: C
Question: At 1:00, Annie starts to bicycle along a 71 mile road at a constant speed of 14 miles per hour. Thirty minutes earlier, Scott started bicycling towards Annie on the same road at a constant speed of 12 miles per hour. At what time will they meet?
Choices:
2:30
3:00
3:30
4:00
Answer: C
Question: Kiran travels from A to B by car and returns from B to A by cycle in 7 hours. If he travels both ways by car he saves 3 hours. What is the time taken to cover both ways by cycle?
Choices:
10
277
299
22
Answer: A
Question: If 50% of a number is equal to one-third of another number, what is the ratio of first number to the second number?
Choices:
2:3
1:2
4:5
5:3
Answer: A
Question: Elizabeth is interested in dividing the rooms in the house among the family. Unfortunately, they do not divide equally. It turns out that in order for the rooms to be dividable, Elizabeth has to build two more rooms and kick out one of the family members. Which of the following can describe the number of the initial rooms in the house and the initial number of family members (in the order Rooms, family)?
Choices:
30; 9
15; 6
10; 5.
22; 10.
Answer: A
Question: The average of 5 numbers is 7.4. If one of the numbers is multiplied by a factor of 3, the average of the numbers increases to 9.2. What number is multiplied by 3?
Choices:
3.0
3.9
4.5
6.0
Answer: C
Question: Carl drove from his home to the beach at an average speed of 80 kilometers per hour and returned home by the same route at an average speed of 70 kilometers per hour. If the trip home took 1/2 hour longer than the trip to the beach, how many kilometers e did Carl drive each way?
Choices:
345
320
280
240
Answer: C
Question: How many different arrangements of letters are possible if three letters are chosen from the letters A through J and the letters E and A must be among the letters selected?
Choices:
39
42
45
48
Answer: D
Question: If the average (arithmetic mean) of the four numbers K, 2K + 3, 3K – 5 and 5K + 1 is 41, what is the value of K?
Choices:
41
22
23
25 3/10
Answer: A
Question: If k^3 is divisible by 540, what is the least possible value of integer k?
Choices:
30
60
90
120
Answer: A
Question: A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Choices:
240 m
300 m
360 m
280 m
Answer: A
Question: rectangle dimensions were given,2 doors dimensions given, 2 windows dimensions given. 70cm wide wallpaper to be covered on the walls of this room. Cost of wallpaper is 60 per meter.. calculate total cost
Choices:
25
30
60
70
Answer: C
Question: A waiter's salary consists of his salary and tips. During one week his tips were 5/3 of his salary. What fraction of his income came from tips ?
Choices:
5/4
5/8
5/9
6/9
Answer: B
Question: Today David is twice as old as Sam and Sam is 3 years younger than Dravid. If David, Sam, and Dravid are all alive 4 years from today, which of the following must be true on that day.
I. David is twice as old as Sam
II. Sam is 3 years younger than Dravid
III. David is older than Dravid
Choices:
I, II & III
III
I
I,II
Answer: A
Question: What is the tens' digit E of the sum of the first 40 terms of 1, 11, 111, 1111, 11111, 111111, ...?
Choices:
E=3
4
8
9
Answer: A
Question: From a group of 6boys&4girls a Committee of 4 persons is to be formed. In how many different ways can it be done, so that the committee has at least 2 boys?
Choices:
140
185
200
210
Answer: B
Question: Can C and can В are both right circular cylinders. The radius of can C is twice the radius of can B, while the height of can C is half the height of can B. If it costs $4.00 to fill half of can B with a certain brand of gasoline, how much would it cost to completely fill can C with the same brand of gasoline?
Choices:
$2
$4
$8
$16
Answer: D
Question: The average height of 35 boys in a class was calculated as 184cm. It has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm. Find the actual average height of the boys in the class (Round off your answer to two decimal places?
Choices:
182.29 cm
123.98 cm
149.98 cm
146.89 cm
Answer: A
Question: Three boys, two girls, and two women are to be seated on a bench. If one specific boy must be seated on one of the end seats, and one specific girl must me seated exactly in the middle, find the number of possible arrangements R.
Choices:
b) R=144
c) R=240
d) R=288
e) 120
Answer: B
Question: A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
Choices:
1000
2771
1111
7121
Answer: A
Question: What is the greatest prime factor of 42^2+75^2+6300
Choices:
7
11
13
79
Answer: C
Question: If 5 machines can produce 20 units in 10 hours, how long would it take 20 machines to produce 180 units?
Choices:
40 hours
22.5 hours
12 hours
8 hours
Answer: B
Question: The ratio of males to females in a class is 2:3. The career preferences of the students in the class are represented in a circle graph. If the area of the graph allocated to each career preference is proportional to the number of students who have that career preference, how many degrees of the circle should be used to represent a career that is preferred by one-fourth of the males and three-fourths of the females in the class?
Choices:
192
198
204
210
Answer: B
Question: When a number is divided by 6 &then multiply by 12 the answer is 18 what is the no.?
Choices:
5
5.6
5.7
9
Answer: D
Question: A cube has four of its faces painted half red and half white. The other faces are completely painted white. What is the ratio between the red painted areas and the white painted areas of the cube?
Choices:
1:3
1:2
2:5
2:11
Answer: B
Question: If the range W of the six numbers 4,3,14,7,10 and x is 12, what is the difference between the greatest possible value of x and least possible value of x?
Choices:
2
12
13
15
Answer: C
Question: A man can row 4 kmph is still water. If the river is running at 2 kmph it takes 90 min to row to a place and back. How far is the place
Choices:
4 km
5 km
2.25 km
None of these
Answer: C
Question: The distance light travels in one year is approximately 5,870,000,000,000 miles. The distance light travels in 100 years is:
Choices:
× 1010 miles
× 10-10 miles
× 1012 miles
× 10-12 miles
Answer: C
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
4500
5000
5500
Answer: A
Question: A, B and C play a cricket match. The ratio of the runs scored by them in the match is A:B = 2:3 and B:C = 2:5. If the total runs scored by all of them are 100, the runs scored by A are?
Choices:
18
13
16
12
Answer: C
Question: A single discount equivalent to the discount series of 20%, 10% and 5% is?
Choices:
31.21
31.6
31.37
31.25
Answer: B
Question: A number exceeds by 20 from its 3/8 part. Then the number is?
Choices:
A)32
C)39
D)40
E)45
Answer: A
Question: A and B can do a piece of work in 3 days, B and C in 4 days, C and A in 6 days. How long will C take to do it?
Choices:
24
20
30
15
Answer: A
Question: Out of 4 fruits in a basket, 2 are rotten. If two fruits are drawn at random from the basket, the probability of both being rotten is
Choices:
1/6
20/21
11/16
2/21
Answer: A
Question: Of 15 applicants for a job, 7 had at least 4 years' experience, 9 had degrees, and 1 had less than 4 years' experience and did not have a degree.How many of the applicants had at least 4 years' experience and a degree?
Choices:
13
9
7
2
Answer: D
Question: 0.002 x 0.5 = ?
Choices:
1.0
0.1
0.01
0.001
Answer: D
Question: A number is four less than two times the other number. If their difference is 21, what is the greater number?
Choices:
46
31
21
15
Answer: A
Question: How many positive integers less than 600 can be formed using the numbers 1, 2, 3 and 5 for the digits?
Choices:
52
66
68
84
Answer: D
Question: A Man travelled a distance of 48 km in 7 hours. He travelled partly on foot at 4 km/hr and partly on
bicycle at 9 km/hr. What is the distance travelled on foot?
Choices:
20 km
12 km
10 km
None of these
Answer: A
Question: Company C produces toy trucks at a cost of $5.00 each for the first 100 trucks and $3.50 for each additional truck. If 500 toy trucks were produced by Company C and sold for $8.00 each, what was Company C’s gross profit?
Choices:
$2,500
$2,100
$2,150
$2,700
Answer: B
Question: A boat covers a certain distance downstream in 1 hour, while it comes back in 1.30 hours. If the speed of the stream be 3 kmph, what is the speed of the boat in still water?
Choices:
13
11
08
15
Answer: D
Question: Steve traveled the first 2 hours of his journey at 30 mph and the remaining 3 hours of his journey at 80 mph. What is his average speed for the entire journey?
Choices:
60 mph
53.33 mph
64 mph
66.67 mph
Answer: A
Question: Find the no.of ways of arranging the boy and 5 guests at a circular table so that the boy always sits in a particular seat?
Choices:
5!
9!
10!
11!
Answer: A
Question: Use distributive property to solve the problem below:
Maria bought 10 notebooks and 5 pens costing 2 dollars each.How much did Maria pay?
Choices:
30 dollars
50 dollars
60 dollars
70 dollars
Answer: A
Question: A person X working alone can complete a work in 5 days. A person Y completes the same amount of work in 20 days, and a person Z when working alone can complete the same amount of work in 30 days. All three people work together for 2 days but then X and Y leave. How many more days does Z need to complete the work after X and Y leave?
Choices:
13
15
16
17
Answer: A
Question: We can rent a canoe for x cents per minute for the first 30 minutes and then y cents for each additional minute. How much will it cost to rent a canoe for z minutes, where z>30?
Choices:
30x + zy
30x+(z-30)y
30x + 30y
x + (z-30)y
Answer: B
Question: If d is the standard deviation x, y, and z, what is the standard deviation of 2x, 2y, 2z ?
Choices:
2d
15d
d + 5
d + 15
Answer: A
Question: In traveling from a dormitory to a certain city, a student went 1/5 of the way by foot, 2/3 of the way by bus, and the remaining 10 kilometers by car. What is the distance, in kilometers, from the dormitory to the city?
Choices:
45
60
75
120
Answer: C
Question: If 1 tic equals 5 tacs and 2 tacs equal 8 tocs, what is the ratio of one tic to one toc?
Choices:
20/1
5/6
3/10
1/15
Answer: A
Question: Harriet planned to complete a certain task on Wednesday, January 1, but because of illness the completion date was postponed 44 days. On which day of the week in February was the task completed?
Choices:
Tuesday
Wednesday
Thursday
Friday
Answer: D
Question: On Saturday morning, John will begin a camping vacation and he will return home at the end of the first day on which it rains. If on the first three days of the vacation the probability of rain on each day is 0.3, what is the probability that Malachi will return home at the end of the day on the following Monday?
Choices:
0.125
0.147
0.512
0.64
Answer: B
Question: A motor cyclist participant of a race says "We drove with the speed of 10 miles an hour one way, but while returning because of less traffic we drove on the same route with 18 miles per hour." What was their average speed in the whole journey?
Choices:
12 miles/hour
11 miles/hour
13 miles/hour
12.9 miles/hour
Answer: D
Question: How much 60% of 50 is greater than 34% of 30?
Choices:
19.8
11
17
12
Answer: A
Question: Two trains are moving at 50 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
Choices:
9 ½ sec
3 ½ sec
7 ½ sec
2 ½ sec
Answer: C
Question: A train 360 m long is running at a speed of 36 km/hr. In what time will it pass a bridge 140 m long?
Choices:
50 sec
88 sec
19 sec
10 sec
Answer: A
Question: In the faculty of Reverse-Engineering, 226 second year students study numeric methods, 450 second year students study automatic control of airborne vehicles and 134 second year students study them both. How many students are there in the faculty if the second year students are approximately 80% of the total?
Choices:
678.
618.
644.
666.
Answer: A
Question: Find the no.of ways of arranging the boy and 8 guests at a circular table so that the boy always sits in a particular seat?
Choices:
8!
9!
10!
12!
Answer: A
Question: How many two digit numbers of distinct digits can be formed by using digits 1, 2, 3, 4, 5, 6 and 7 such that the numbers are divisible by 6?
Choices:
6
7
8
9
Answer: A
Question: A man took a loan at rate of 12% per annum simple interest. After 3 years he had to pay 7200 interest. The principal amount borrowed by him was.
Choices:
Rs 15000
Rs 16000
Rs 20000
None of these
Answer: C
Question: What approximate value should come in place of the question mark (?) in each of the following equations ?
(9.009)1/2 + (16.0001)1/4 = (?)% of 50.5
Choices:
8
5
10
11
Answer: C
Question: The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is?
Choices:
Rs.4000
Rs.4029
Rs.4027
Rs.4020
Answer: A
Question: At a dinner party, 6 people are to be seated around a circular table. Two seating arrangements are considered different only when the positions of the people are different relative to each other. What is the total number of different possible seating arrangements for the group?
Choices:
2) 10
3) 24
4) 32
5) 120
Answer: D
Question: How many 7's are there in the following series which are preceded by 6 which is not preceded by 8 ?
8 7 6 7 8 6 7 5 6 7 9 7 6 1 5 7 7 6 8 8 6 9 7 6 8 7
Choices:
2
5
3
None
Answer: A
Question: Rahul's Mathematics test had 75 problems, 10 arithmetic, 30 algebra, 35 geometry problems. Although he answered 70% of arithmetic, 40% of arithmetic and 60% of geometry problems correctly, still he got less than 60% problems right. How many more questions he would have to answer more to get passed
Choices:
5
7
8
9
Answer: A
Question: Ram professes to sell his goods at the cost price but he made use of 950 grms instead of a kg, what is the gain percent?
A. 11%
Choices:
5.26%
11 9/9%
11 5/9%
11 1/5%
Answer: A
Question: Ten cards numbered 1 to 10 are placed in a box, mixed up thoroughly and then one card is drawn
randomly. If it is known that the number on the drawn card is more than 3, what is the probability
that it is an even number?
Choices:
4/7
4/11
5
5/7
Answer: A
Question: Evaluate 75% of 450 + 45% of 750
Choices:
642
652
675
572
Answer: D
Question: In a group of hens and cows, the total number of legs are 24 more than twice the number of heads. How many cows are there in the group?
Choices:
10
12
14
16
Answer: B