antoine-444/aqua_rat_dataset huggingface dataset:
Question: Find large no. from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 10 as remainder
Choices:
1456
1567
1636
1635
Answer: C
Question: A train 110 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
Choices:
6 sec
4 sec
2 sec
1 sec
Answer: A
Question: A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what is the width of the road?
Choices:
3
5
6
7
Answer: A
Question: Last year a certain bond price with a face value of 5000 yielded 5% of its face value in interest. If that interest was approx 6.5 of the bond's selling price approx what was the bond's selling price?
Choices:
3846
5351
6000
6154
Answer: A
Question: In what time will two trains cross each other completely, which are running on the same parallel lines in opposite directions, each train running with a speed of 90 kmph being 160 m and 140 m in length respectively?
Choices:
6.2 sec
6.0 sec
7.2 sec
6.8 sec
Answer: B
Question: By selling an article at Rs.800, a shopkeeper makes a profit of 25%. At what price should he sell the article so as to make a loss of 25%?
Choices:
Rs.480
Rs.429
Rs.427
Rs.482
Answer: A
Question: The jogging track in a sports complex is 1000 meters in circumference. Deepak and his wife start from the same point and walk in opposite directions at 20 km/hr and 12 km/hr respectively. They will meet for the first time in?
Choices:
32min
35min
25min
20min
Answer: A
Question: What is 5/8 as a percent
Choices:
62.5 %
63.5 %
64.5 %
65%
Answer: A
Question: Which one of the following can't be the square of natural number ?
Choices:
75625
28561
143642
235685
Answer: C
Question: If 4x + y = 8 and y − 3x = 7, then what is the value of x + 2y?
Choices:
3
15
52/7
60/7
Answer: B
Question: At a certain university, 68% of the professors are women, and 70% of the professors are tenured. If 90% of the professors are women, tenured, or both, then what percent of the men are tenured?
Choices:
37.5
55
62.5
75
Answer: B
Question: The output of a factory was increased by 10% to keep up with rising demand. To handle the holiday rush, this new output was increased by 25%. By approximately what percent would the output now have to be decreased in order to restore the original output?
Choices:
24%
30%
27%
79%
Answer: C
Question: 7^9 - 7^2 is approximation of which of the following?
Choices:
7^9
9^9
9^11
9^10
Answer: A
Question: Mr. Kramer, the losing candidate in a two-candidate election, received 942,568 votes, which was exactly 42 percent of all votes cast. Approximately what percent of the remaining votes would he need to have received in order to have won at least 50 percent of all the votes cast?
Choices:
12%
14%
17%
20%
Answer: B
Question: If a real number x is chosen at random in the interval [0,4] and a real number y is chosen at random in the interval [0,6], what is the probability that x < y?
Choices:
3/5
2/3
3/10
7/10
Answer: B
Question: Mike, Jim and Bob are all professional fisherman. Mike can catch 30 fish in one hour, Jim can catch twice as much and Bob can catch 50% more than Jim. If the three started to fish together and after 40 minutes Mike and Bob left, how many fish did the three fishermen catch in one hour?
Choices:
120
140
130
112
Answer: B
Question: A boat can travel with a speed of 22 km/hr in still water. If the speed of the stream is 5 km/hr, find the time taken by the boat to go 135 km downstream
Choices:
5 hours
3 hours
2 hours
None of these
Answer: A
Question: A tradesman by means of his false balance defrauds to the extent of 26%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
Choices:
58.76%
84.67%
24.65%
45%
Answer: A
Question: At a conference table, 5 employees gather around a table. One of the employees is the manager and he sits at the head of the table. Two of the employees sit on either side of the table. How many different seating arrangements can be made with these five employees?
Choices:
10
24
32
120
Answer: B
Question: How many positive four-digit integers do not contain any digits other than 1 or 0 and are such that the sum of the first two digits equals the sum of the last two digits?
Choices:
3
8
10
12
Answer: A
Question: Find the area of region enclosed by | x | + | y | = 3
Choices:
18
28
26
91
Answer: A
Question: The mean of four integers W will not change if all the integers are multiplied by any constant. What is always true about this set of numbers?
I. The mean of the set is 0
II. The sum of the largest member and the smallest member of the set is 0
III. The set contains both positive and negative integers
Choices:
I only
III only
I and II only
I, II, and III
Answer: A
Question: Two pipes A and B can separately fill a cistern in 10 and 15 minutes respectively. A person opens both the pipes together when the cistern should have been was full he finds the waste pipe open. He then closes the waste pipe and in another 4 minutes the cistern was full. In what time can the waste pipe empty the cistern when fill?
Choices:
1/3
1/4
1/2
1/6
Answer: A
Question: All the faces of cubes are painted with red colour.It is then cut into 64 equal small cubes.Find How many small cubes have no faces coloured ?
Choices:
8
16
0
4
Answer: A
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.157300 was their profit, how much amount did B receive?
Choices:
48400
48100
48500
48600
Answer: A
Question: The profits of QRS company rose 10% from March to April, then dropped 20% from April to May, then rose 50% from May to June. What was the percent increase for the whole quarter, from March to June?
Choices:
32%
40%
62%
80%
Answer: A
Question: For what values of 'k' will the pair of equations 3x + 4y = 12 and kx + 12y = 30 NOT have a unique solution?
Choices:
9
3
7.5
2.5
Answer: A
Question: If two positive numbers are in the ratio 1/6 : 1/5, then by what percent is the second number more than the first?
Choices:
90%
60%
50%
20%
Answer: D
Question: Two trains of length 100 m and 200 m are 90 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. After how much time will the trains meet?
Choices:
32/3 sec
18/7 sec
32/3 sec
53/2 sec
Answer: B
Question: If the annual increase in the population of a town is 10% and the present number of people is 14000, what will the population be in 2 years?
Choices:
15240
12456
16940
10002
Answer: C
Question: A reduction of 30% in the price of oil enables a house wife to obtain 5kgs more for Rs.800, what is the reduced price for kg?
Choices:
s.46
s.48
s.41
s.34
Answer: B
Question: If a /2= b/3 = c/5, then the value of (a + b + c)/c is :
Choices:
√2
2
5
6
Answer: B
Question: In how many of ways can 4 balls be placed in 5 tins if any number of balls can be placed in any tin?
Choices:
5P4
54
4^5
5^4
Answer: D
Question: In how many ways Chief Minister and Minister be elected from a team of 12 members?
Choices:
131
132
145
165
Answer: B
Question: When positive integer N is divided by positive integer J, the remainder is 26. If N/J = 150.40, what is value of J?
Choices:
65
60
130
30
Answer: A
Question: The ratio between the radii of two spheres is 1:3. Find the ratio between their volumes?
Choices:
1:27
1:22
1:21
1:29
Answer: A
Question: The speed of a boat in still water is 20 km/hr and the rate of current is 5 km/hr. The distance travelled downstream in 21 minutes is:
Choices:
5.75
8.75
6.75
5.15
Answer: B
Question: The simple form of the ratio 4/3:2/5 is?
Choices:
10:3
15:3
25:3
30:3
Answer: A
Question: During a sale, the price of a pair of shoes is marked down 15% from the regular price. After the sale ends, the price goes back to the original price. What is the percent of increase to the nearest percent from the sale price back to the regular price for the shoes?
Choices:
10%
11%
18%
90%
Answer: C
Question: The train 160 m long is running with a speed of 80 km/hr. In what time will it pass a man running in same direction with the speed of 8 km/hr.
Choices:
8 seconds
15 seconds
6 seconds
28 seconds
Answer: A
Question: In a college, 70 percent of students study math, 75 percent of students study English, 85 percent study French and 80 percent study German.
Can you find out the percentage of students who study all 4 subjects ?
Choices:
10%
16%
18%
19%
Answer: A
Question: If the perimeter of a rectangular garden is 950 m, its length when its breadth is 100 m is?
Choices:
778 m
375 m
276 m
971 m
Answer: B
Question: A man is walking at a speed of 10 km per hour. After every kilometre, he takes rest for 5 minutes. How much time will be take to cover a distance of 5 kilometres?
Choices:
50 min.
45 min.
55 min
None of these
Answer: A
Question: A caterer ordered 200 ice-cream bars and 200 sundaes. If the total price was $200.00 and the price of each ice-cream bar was $0.40, what was the price of each sundae?
Choices:
$0.60
$1.00
$1.20
$1.60
Answer: A
Question: A card is drawn from a pack of 52 cards.The probability of getting a queen club or a king of heart?
Choices:
1/26
4/26
6/26
10/26
Answer: A
Question: Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety of tea in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, what is the price of the third variety per kg ?
Choices:
Rs.170.5
Rs.175.50
Rs.180
Rs.190
Answer: B
Question: M is a certain set of numbers with an average (arithmetic mean) of 10 and a standard deviation of 3. Q is a subset of M consisting of 5 terms. Exactly 80% of the numbers in Q are located within 2 standard deviations from the average of M. Which of the following could Q be?
Choices:
{3, 4, 5, 10, 14}
{3, 5, 5, 10, 17}
{1, 5, 7, 10, 18}
{5, 6, 7, 10, 12}
Answer: A
Question: At a certain paint store forest green is made by mixing 4 parts blue paint with 3 parts yellow paint.Verdant green is made by mixing 4 parts yellow paint with 3 parts blue paint.How many liters of yellow paint must be added to 35 liters of forest green to change it to Verdant green?
Choices:
2/3
4/3
35/3
10/3
Answer: C
Question: Which of these numbers is not divisible by 3?
Choices:
342
552
1111
672
Answer: C
Question: If (t-8) is a factor of t^2-kt-40, then k=
Choices:
1
2
6
14
Answer: A
Question: A man buys a cycle for Rs. 1750 and sells it at a loss of 8%. What is the selling price of the cycle?
Choices:
s. 1610
s. 1190
s. 1202
s. 1092
Answer: A
Question: A train passes a station platform in 42 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:
166
240
157
330
Answer: D
Question: The value of Underrot 72pi/9 + Underrot 4 is most nearly equal to which of the following integers? (Please refer to the picture below for the exact version of the question)
Choices:
27
18
19
21
Answer: A
Question: A boy swims downstream 91 km and upstream 21 km taking 7 hours each time, what is the speed of the boy in still water?
Choices:
7
8
9
10
Answer: B
Question: Pipes A and B can fill a tank in 5 hours and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in.
Choices:
3 9/17
3 7/5
3 7/17
None of these
Answer: A
Question: If 1/(6 + 3/x) = 1, then x =
Choices:
-3/5
1/3
-1/3
-3
Answer: A
Question: How many 7-letter words can be formed using the letters of the English alphabet that contain 2 different vowels and 5 different consonants?
Choices:
4!*5c3 *21c2
5!*5c2 *21c2
7!*5c2 *21c5
6!*5c2 *21c2
Answer: C
Question: A box contains 90 nuts each of 100 gms and 100 bolts each of 150 gms. If the entire box weighs 35.5 kg., then the weight of the empty box is
Choices:
9.5
10
11.5
12
Answer: C
Question: January 1, 2007 was Monday. What day of the week lies on Jan. 1, 2008 ?
Choices:
Tuesday
wednesday
Sunday
None of these
Answer: A
Question: a is the hundreds digit of the three digit integer x, b is the tens digit of x, and c is the units digit of x. 4a = 2b = c, and a > 0.
What is the difference between the two greatest possible values of x?
Tip: Dont stop till you have exhausted all answer choices to arrive at the correct one.
Choices:
124
394
421
842
Answer: A
Question: If (c - a)/(c - b) = 1, then (5b - 2a)/(c - a) =
Choices:
1
1.5
2
6
Answer: D
Question: Michael cashed a check for $1,300 and received only $10 and $50 bills in return. During the course of a day, he used 15 bills and then lost the rest of the money. If the number of $10 bills used was either one more or one less than the number of $50 bills used, what is the minimum possible amount of money that was lost?
Choices:
$830
$770
$730
$700
Answer: A
Question: A baseball team won 55 percent of the first 80 games it played. How many of the remaining 82 games will the team have to win in order to have won exactly 50 percent of all the games it played?
Choices:
45
50
55
37
Answer: D
Question: If there are 9 horizontal lines and 9 vertical lines in a chess board, how many rectangles can be formed in the chess board?
Choices:
1243
1564
1296
1234
Answer: C
Question: In the coordinate plane, Line A has a slope of -2 and an x-intercept of 2. Line B has a slope of 5 and a y-intercept of -10. If the two lines intersect at the point (a,b), what is the sum a+b?
Choices:
1
2
3
4
Answer: B
Question: A train 100 m long crosses a platform 125 m long in 15 sec; find the speed of the train?
Choices:
28
54
27
21
Answer: B
Question: How many numbers between 190 and 580 are divisible by 4,5 and 6?
Choices:
6
8
9
10
Answer: A
Question: A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined then after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed among A, B and C?
Choices:
3 : 5 : 5
6 : 10 : 5
Data inadequate
None
Answer: B
Question: During a trip on an expressway, Don drove a total of x miles. His average speed on a certain 5-mile section of the expressway was 20 miles per hour, and his average speed for the remainder of the trip was 60 miles per hour. His travel time for the x-mile trip was what percent greater than it would have been if he had traveled at a constant rate of 60 miles per hour for the entire trip?
Choices:
50%
x/12%
300/x%
500/x%
Answer: C
Question: The equation x = 2y^2 + 5y - 16, describes a parabola in the xy coordinate plane. If line l, with slope of 3, intersects the parabola in the upper-left quadrant at x = -5, the equation for l is
Choices:
y + 3x - 1 = 0
-3x + y - 16.5 = 0
-2x - y - 7 = 0
-3x + y + 13.5 = 0
Answer: A
Question: If four coins are tossed, the probability of getting heads only?
Choices:
2
1/16
2/16
3/16
Answer: B
Question: Rs.1040 is divided amongst A, B, C so that 2 times A's share, 3 times B's share and 4 times C's share are all equal. Find A's share?
Choices:
150
817
480
616
Answer: C
Question: A train starts full of passengers at the first station it drops 1/3 of the passengers and takes 280 more at the second station it drops one half the new total and takes twelve more. On arriving at the third station it is found to have 250 passengers. Find the no of passengers in the beginning?
Choices:
180
192
144
294
Answer: D
Question: A bag contains 5 green balls and 9 white balls. If two balls are drawn simultaneously, what is the probability that both balls are the same colour?
Choices:
17/42
23/42
46/91
51/91
Answer: C
Question: In the xy-coordinate plane, the graph of y = -x^2 + 9 intersects line L at (p,5) and (t,7). What is the least possible value of the slope of line L?
Choices:
2
-2
1
-10
Answer: C
Question: A wheel of a car of radius 21 cms is rotating at 800 RPM. What is the speed of the car in km/hr?
Choices:
47.52 km/hr
7.92 km/hr
39.6 km/hr
63.36 km/hr
Answer: D
Question: {330, 380, 350, n}
Which of the following could be the median of the 4 integers listed above?
I. 340
II. 360
III. 380
Choices:
II only
I and II only
II and III only
I, II, and III
Answer: B
Question: A certain team has 11 members, including Joey. A three-member relay team will be selected as follows: one of the 11 members is to be chosen at random to run first, one of the remaining 10 members is to be chosen at random to run second, and one of the remaining 9 members is to be chosen at random to run third. What is the probability that Joey will be chosen to run second or third?
Choices:
1/132
2/11
1/12
1/6
Answer: B
Question: A sum of Rs.5000 is invested at a compound interest for three years, the rate of interest being 10% p.a., 20% p.a. and 25% p.a. for the 1st, 2nd and the 3rd years respectively. Find the interest received at the end of the three years.
Choices:
B)3250
C)8383
D)8383
E)3284
Answer: A
Question: s(n) is a n-digit number formed by attaching the first n perfect squares, in order, into one integer. For example, s(1) = 1, s(2) = 14, s(3) = 149, s(4) = 14916, s(5) = 1491625, etc. How many digits T are in s(99)?
Choices:
T=353
T=354
T=356
357
Answer: A
Question: A, B, and C working alone can finish constructing a house in 6, 9, and 12 hours respectively. A starts alone and works for 1 hour. He is then joined by B and they work together for 1 hour. Finally C joins them and they all work together to finish the work. If they start working at 9 am, at what time will they finish?
Choices:
11:49 am
12:11 pm
12:32 pm
12:43 pm
Answer: C
Question: It costs $5 for the first 1/3 hour to use the laundry machine at the Laundromat. After the first ¼ hour it costs $12 per hour. If a certain customer uses the laundry machine for 2 hours and 30 minutes, how much will it cost him?
Choices:
$29.
$31.
$33.
$35.
Answer: B
Question: The C.P of 10 pens is equal to the S.P of 13 pens. Find his gain % or loss%?
Choices:
loss 16 6/3%
loss 23.08%
loss 18 2/3%
loss 16 25%
Answer: B
Question: A boat moves upstream at the rate of 1 km in 40 minutes and down stream 1 km in 12 minutes. Then the speed of the current is :
Choices:
2 kmph
1.75 kmph
2.5 kmph
3.5 kmph
Answer: B
Question: For all real numbers v, an operation is defined by the equation v* = v - v/3. If (v*)* = 12, then v=
Choices:
18
21
24
27
Answer: D
Question: Lucia's sells kale at x dollar per pound for the first 20 pounds and .8x for every subsequent pound. Amby's price is x per pound for the first 14 pounds and .9x for subsequent pounds. What is the minimum number of pounds over 15 for which Lucia's becomes an equal or better deal?
Choices:
26
25
27
28
Answer: A
Question: The average weight of 8 students decreases by 5 kg when one of them weighing 86 kg is replaced by a new student. The weight of the student is
Choices:
46 kg
70 kg
72 kg
None of these
Answer: A
Question: If x = -1/8 and y = -1/2, what is the value of the expression -2x – y^2?
Choices:
-1
0
3/2
7/4
Answer: B
Question: To celebrate a colleague's retirement, the T coworkers in an office agreed to share equally the cost of a catered lunch. If the lunch costs a total of L dollars and S of the coworkers fail to pay their share, which of the following represents the additional amount, in dollars, that each of the remaining coworkers would have to contribute so that the cost of the lunch is completely paid?
Choices:
L/(T-S)
SL/(T-S)
SL/T(T-S)
L(T-S)/T
Answer: C
Question: 18 times a positive integer is more than its square by 80, then the positive integer is
Choices:
10
11
12
14
Answer: A
Question: At 1:00 pm, there were 10.0 grams of bacteria. The bacteria increased to x grams at 4:00 pm, and 25.6 grams at 7:00 pm. If the amount of bacteria present increased by the same fraction during each of the 3-hour periods, how many grams of bacteria were present at 4:00 pm?
Choices:
15.4
15.7
16.0
16.3
Answer: C
Question: The size of the wooden block is 5 x 10 x 20 cm .How many such blocks will be required to construct a solid wooden cube of minimum size?
Choices:
8
12
16
18
Answer: A
Question: If the number 653 xy is divisible by 90, then (x + y) = ?
Choices:
3
4
6
5
Answer: B
Question: What will come in place of the x in the following Number series? 12, 38, 116, 350, 1052,3158, x
Choices:
5464
9476
7554
3158
Answer: B
Question: A and B enter into partnership with capitals in the ratio 3 : 4. At the end of 10 months A withdraws,and the profits now are divided in the ratio of 3 : 2. Find how long B remained in the business?
Choices:
5 months
6 months
7 months
None of these
Answer: A
Question: An air conditioner can coo the hall in 40 miutes while another takes 45 minutes to cool under similar conditions. if both air conditioners are switched on at same instance then how long will it take to cool the room?
Choices:
about 22 minutes
about 30 minutes
about 25 minutes
about 15 minutes
Answer: A
Question: A rope of which a calf is tied is increased from 12 m to 25 m, how much additional grassy ground shall it graze?
Choices:
1219
1511.7
1212
1312
Answer: B
Question: The average temperature of the town in the first four days of a month was 56 degrees. The average for the second, third, fourth and fifth days was 60 degrees. If the temperatures of the first and fifth days were in the ratio 7 : 8, then what is the temperature on the fifth day ?
Choices:
64 degrees
65 degrees
128 degrees
67 degrees
Answer: C
Question: There was two trains from calcutta to kanyakumari one train is fast service travels with a speed 75km per hour another travels with a speed of 44km per hour the time taken to reach from calcutta to kanyakumari is 4hours less than the first train...find the distance b/w calcatta to kanyakumari
Choices:
425.8 km
435.8 km
445.8 km
455.8 km
Answer: A
Question: The arithmetic mean and standard deviation of a certain normal distribution are 16.2 and 2.3, respectively. What value is exactly 2 standard deviations less than the mean?
Choices:
11
11.6
12
12.5
Answer: B
Question: If 4a = 16b and 9b = 11c, Find a:b:c?
Choices:
44:11:9
7:13:52
7:13:54
None of these
Answer: A
Question: A wooden cube whose edge length is 8 inches is composed of smaller cubes with edge lengths of one inch. The outside surface of the large cube is painted red and then it is split up into its smaller cubes. If one cube is randomly selected from the small cubes, what is the probability that the cube will have at least one red face?
Choices:
50.4%
54.2%
57.8%
61.3%
Answer: C
Question: The speed of the boat in still water in 12 kmph. It can travel downstream through 39 kms in 3 hrs. In what time would it cover the same distance upstream?
Choices:
3.5 hours
4 hours
5 hours
6 hours
Answer: A
Question: Two pipes P and Q can fill a cistern in 12 and 15 minutes respectively. Both are opened together, but at the end of 3 minutes the first is turned off. How much longer will the cistern take to fill?
Choices:
11 1/4
11 1/5
11 1/3
11 2/3
Answer: A
Question: If a man lost 4% by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44%?
Choices:
8
7
4
2
Answer: A
Question: The length and breadth of a rectangle is increased by 10% and 25% respectively. What is the increase in the area?
Choices:
37.5%
47.5%
57.5%
67.5%
Answer: A
Question: If a certain sample of data has a mean of 20.0 and a standard deviation of 5.0, which of the following values is more than 2.5 standard deviations from the mean?
Choices:
13.5
17.0
23.5
26.5
Answer: A
Question: A store’s selling price of $2240 for a certain computer would yield a profit of 40 percent of the store’s cost for the computer. What selling price would yield a profit of 50 percent of the computer’s cost?
Choices:
$2400
$2650
$2732
$2800
Answer: A
Question: The sum of 2 consecutive numbers is definitely:
Choices:
is odd
Divisible by 3.
Divisible by 4.
Divisible by 5.
Answer: A
Question: A train leaves station X at 5 a.m. and reaches station Y at 9 a.m. Another train leaves station Y at 7 a.m. and reaches station X at 10 : 30 a.m. At what time do the two trains cross each other ?
Choices:
7 : 56 am
8 : 36 am
8 : 56 am
None of these
Answer: A
Question: An article is bought for Rs.575 and sold for Rs.900, find the gain percent?
Choices:
63 1/3%
33 1/3%
93 1/3%
56.5%
Answer: D
Question: There are 100 boys in a hostel. Each plays either cricket or softball or both. If 60% play cricket and 50% play softball, how many play both?
Choices:
50
10
100
60
Answer: B
Question: How many 5 letter combinations can be made from the letters of the word VERMONT if the first letter has to be a consonant and the last letter has to be a consonant, and each letter can be used only once?
Choices:
42
1500
600
720
Answer: B
Question: A batsman scored 120 runs which included 3 boundaries and 8sixes. What % of his total score did he make by running between the wickets
Choices:
50%
60%
80%
90%
Answer: A
Question: Hyderabad Chennai Mumbai Delhi Bangalore Trivandram ;
Hyderabad
Chennai
Mumbai
Delhi
Bangalore
Trivandram
In the table above, what is the least number of table entries that are needed to show the mileage between each city and each of the other five cities?
Choices:
18
14
15
16
Answer: C
Question: The average age of a group of 20 students was 20. The average age increased by 2 years when two new students joined the group. What is the average age of the two new students who joined the group?
Choices:
30 years
42 years
32 years
None of these
Answer: B
Question: A train traveled the first d miles of its journey it an average speed of 40 miles per hour, the next d miles of its journey at an average speed of y miles per hour, and the final d miles of its journey at an average speed of 160 miles per hour. If the train’s average speed over the total distance was 96 miles per hour, what is the value of y?
Choices:
84
100
120
135
Answer: B
Question: When ticket sales began, Pat was the mth customer in line for a ticket, and customers purchased their tickets at the rate of x customers per minute. Of the following, which best approximates the time, in minutes, that Pat had to wait in line from the moment ticket sales began?
Choices:
m + x –1
(m-1)/x
x/(m-1)
m/(x-1)
Answer: B
Question: Which of the following coordinates are on the line segment connecting (5, 6) and (21, 18)?
Choices:
(9, 9)
(13, 13)
(12, 13)
(16, 15)
Answer: A
Question: Of the 800 employees of Company X, 70 percent have been with the company for at least ten years. If y of theselong-termmembers were to retire and no other employee changes were to occur, what value of y would reduce the percent oflong-termemployees in the company to 40 percent ?
Choices:
160
400
80
56
Answer: B
Question: If a = 4p, where p is a prime number greater than 2, how many different positive even divisors does a have, including a ?
Choices:
Three
Four
Six
Eight
Answer: B
Question: Mr. Jones sold two pipes at $1.20 each. Based on the cost, his profit one was 20% and his loss on the other was 20%. On the sale of the pipes, he:
Choices:
broke even
gained 4 cents
lost 10 cents
gained 10 cents
Answer: A
Question: Six points are marked on a straight line and five points are marked on another line which is parallel to the first line. How many straight lines, including the first two, can be formed with these points?
Choices:
33
55
30
32
Answer: D
Question: The product of two numbers is 4107. If the H.C.F. of these numbers is 37, then the greater number is:
Explanation:
Choices:
107
111
117
121
Answer: B
Question: John and Lewis leave City A for City B simultaneously at 6 A.M in the morning driving in two cars at speeds of 40 mph and 60 mph respectively. As soon as Lewis reaches City B, he returns back to City A along the same route and meets John on the way back. If the distance between the two cities is 240 miles, how far from City A did John and Lewis meet?
Choices:
160 miles
140 miles
170 miles
200 miles
Answer: A
Question: Rahul's Mathematics test had 85 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:
6
7
8
11
Answer: D
Question: For an employee to qualify for early retirement at a certain company, the sum of the employee’s age and years of service must be at least 74, If Sue was K years old when she was hired by the company, what is the minimum age at which she could possibly qualify for early retirement?
Choices:
2K+37
(74+K)/2
(74-K)/2
2(74-K)
Answer: B
Question: Find the number, difference between number and its 3/5 is 50.
Choices:
125
120
140
145
Answer: A
Question: Every Monday, Marina eats one croissant and every Tuesday she eats two croissants. On each subsequent day of the week, she eats a number of croissants equal to the sum of the croissants eaten on the two previous days, with the exception that if she eats more than four croissants on any particular day, the next day she will eat only one croissant. At the end of the week (which runs from Monday through Sunday), the cycle resets, and Marina goes back to eating one croissant on Monday, two on Tuesday, and so forth. If a particular month begins on a Tuesday, how many croissants will Marina eat on the 24th of that month?
Choices:
2
3
5
6
Answer: C
Question: If x and y are integers and xy = 660, x or y must be divisible by which of the following numbers?
Choices:
6
11
20
30
Answer: B
Question: A leak in the bottom of a tank can empty the tank in 6 hrs. An pipe fills water atthe rate of 4 ltrs/min. When the tank is full in inlet is opened and due to the leak the tank is empties in 8 hrs. The capacity of the tank is?
Choices:
4546
4556
4675
5760
Answer: D
Question: How long will it take a sum of money invested at 20% p.a. S.I. to increase double the value?
Choices:
8 years.
15 years.
13 years.
10 years.
Answer: D
Question: One tap can fill a water tank four times as fast as another tap. If together the two taps can fill the water tank in 30 minutes then the slower tap alone will be able to fill the water tank in _______ .
Choices:
150 min
170 min
190 min
250 min
Answer: A
Question: The speed of a train is 102 kmph. What is the distance covered by it in 30 minutes?
Choices:
51 kmph
41 kmph
61 kmph
21 kmph
Answer: A
Question: How much simple interest per annum can I negotiate with my Bank so My Family can pay back in 40 years at most double of the money we will borrow.
Choices:
5
2.5
4.5
2
Answer: B
Question: A certain pilot flew 400 miles to City K at an average speed of 550 miles per hour with the wind and made the trip back at an average speed of 250 miles per hour against the wind. Which of the following is closest to the pilot’s average speed, in miles per hour, for the round-trip?
Choices:
290
300
310
340
Answer: D
Question: It is required to fix a pipe such that water flowing through it at a speed of 7 metres per minute fills a tank of capacity 1760 cubic metres in 10 minutes. The inner radius of the pipe should be :
Choices:
2 m
1⁄2 m
2√2 m
None of these
Answer: C
Question: If x and y are positive integers and 18x=12y what is the least possible value of xy?
Choices:
28
36
84
252
Answer: B
Question: Let q represent the integer length of a side of a triangle. If r represents the number of distinct values for q such that we can create a triangle with lengths q, 12, and 19, what is the value of r?
Choices:
22
23
25
31
Answer: B
Question: This topic is locked. If you want to discuss this question please re-post it in the respective forum.
The sum of the first 54 positive even integers is 2550. What is the sum of the even integers from 94 to 200 inclusive?
Choices:
7,938
10,100
15,500
20,100
Answer: A
Question: II - IV + IX = 200
VI + I - V= 100
II - VI + VII = 150
Then,
VII + II + III = ?
Choices:
220
150
230
450
Answer: D
Question: Benny goes to the market for buying some apples to be distributed between her nine kids equally.She takes 360 dollars with her .The cost of each apple is 4 dollars .How many apples does she buy to share them equally between her twelve kids?
Choices:
7.5
3.5
7.2
10
Answer: A
Question: Three numbers are in the ratio 1 : 2 : 3 and their H.C.F is 6. The numbers are
Choices:
12, 24, 38
12, 24, 362
6, 12, 18
12, 24, 321
Answer: C
Question: The C.P of 40 pens is equal to the S.P of 60 pens. Find his gain % or loss%
Choices:
32 1/3
33 1/3
25 1/3
33 2/3
Answer: B
Question: A person buys an article at $380. At what price should he sell the article so as to make a profit of 25%?
Choices:
449
475
740
460
Answer: B
Question: In a school of 320 students, 85 students are in the band, 200 students are on sports teams, and 60 students participate in both activities. How many students are involved in either band or sports?
Choices:
225
230
240
245
Answer: A
Question: A box contains three pairs of blue gloves and two pairs of green gloves. Each pair consists of a left-hand glove and a right-hand glove. Each of the gloves is separate from its mate and thoroughly mixed together with the others in the box. If three gloves are randomly selected from the box, what is the probability that a matched set (i.e., a left- and right-hand glove of the same color) will be among the three gloves selected?
Choices:
23/60
7/12
41/60
5/6
Answer: C
Question: If all the numbers between 11 and 100 are written on a piece of paper. How many times will the number 4 be used?
Choices:
87
68
26
21
Answer: A
Question: A dessert recipe calls for 50% melted chocolate and 50% raspberry puree to make a particular sauce. A chef accidentally makes 15 cups of the sauce with 40% melted chocolate and 60% raspberry puree instead. How many cups of the sauce does he need to remove and replace with pure melted chocolate to make the sauce the proper 50% of each?
Choices:
2.5
3
4.5
5
Answer: A
Question: Find the value for m?
19(m + n) + 17 = 19(-m + n) - 21
Choices:
-1
1
2
3
Answer: A
Question: In the interior of a forest, a certain number of apes equal to the square of one-eighth of the total number are playing and having great fun. The remaining sixteen apes are on a hill and the echo of their shrieks by the adjoining hills frightens them. They came and join the apes in the forest and play with enthusiasm. What is the total number of apes?
Choices:
32
64
80
16 or 48
Answer: A
Question: Ten percent of the women in a college class are science majors, and the non-science majors make up 60% of the class. What percentage of the men are science majors if 40% of the class are men?
Choices:
55%
65%
75%
85%
Answer: D
Question: The incomes and expenditures of P, Q, R are in the ratio of 6 : 8 : 11 and 5 : 8 : 12 respectively. If P saves 1/4th of his income, what is the ratio of the savings of P, Q and R ?
Choices:
15 : 8 : 2
7 : 15 : 10
12 : 9 : 17
None of these
Answer: A
Question: Evaluate : 1024 x 237 + 976 x 237
Choices:
568000
378000
474000
None of them
Answer: C
Question: A tradesman by means of his false balance defrauds to the extent of 30%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
Choices:
58%
44%
69%
43%
Answer: C
Question: If the cost price of 12 articles is same as the selling price of 25 articles. Find the gain or loss percentage?
Choices:
30% Loss
40% Gain
40% Loss
52% Loss
Answer: D
Question: In a sample of high school students, 20 percent are sophomores, and 65 percent are not freshmen. What percentage of the high school students are juniors or seniors?
Choices:
25
35
45
55
Answer: C
Question: How long does a train 110 m long running at the speed of 72 km/hr takes to cross a bridge 132 m length?
Choices:
12.1
12.9
12.3
12.2
Answer: A
Question: How many days per calendar year is the month a factor of the day
Choices:
1
45
90
101
Answer: B
Question: The average marks scored by Ganesh in English, Science, Mathematics and History is less than 14 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:
56
60
Data inadequate
None of these
Answer: A
Question: A train 150 metres long is moving at a speed of 25 kmph. It will cross a man coming from the opposite direction at a speed of 2 km per hour in :
Choices:
20 sec
36 sec
38 sec
40 sec
Answer: A
Question: If 12 men do a work in 80 days, in how many days will 16 men do it?
Choices:
60
50
40
20
Answer: A
Question: The average age of 36 students in a group is 14 years. When teacher's age is included to it, the average increases by one. Find out the teacher's age in years?
Choices:
51 years
53 years
50 years
52 years
Answer: A
Question: If x and y are positive integers and y ≠ 1, then xy(y −1) is
Choices:
Always even
Odd only when x is odd
Even only when y is even
Odd only when xy is odd
Answer: A
Question: n is an integer chosen at random from the set
{1, 5 , 9, 11 }
p is chosen at random from the set
{2, 6, 10, 14, 18}
What is the probability that n + p = 15 ?
Choices:
0.2
0.15
0.3
0.4
Answer: B
Question: An empty fuel tank with a capacity of 200 gallons was filled partially with fuel A and then to capacity with fuel B. Fuel A contains 12% ethanol by volume and fuel B contains 16% ethanol by volume. If the full fuel tank contains 18 gallons of ethanol, how many gallons of fuel A were added?
Choices:
150
100
80
350
Answer: D
Question: If 36 men can do a piece of work in 25 hours, in how mwny hours will15 men do it?
Choices:
38
60
88
22
Answer: B
Question: Find the remainder when 3^27 is divided by 5?
Choices:
2
4
1
5
Answer: A
Question: If 9a - b = 10b + 80 = -12b - 2a, what is the value of 2a + 22b?
Choices:
-2
- 80
2
4
Answer: B
Question: Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm.
Choices:
234
285
342
213
Answer: B
Question: A trader sells two brands of petrol; one is Extra Premium and other one is speed. He mixes 12 litres Extra Premium with 3 litres of speed and by selling this mixture at the price of Extra Premium he gets the profit of 9.09. If the price of Extra Premium Rs. 48 per litre, then the price of Speed is:
Choices:
Rs. 42 per litre
Rs. 28 per litre
Rs. 28 per litre
None of These
Answer: B
Question: A man swims downstream 72 km and upstream 45 km taking 9 hours each time; what is the speed of the current?
Choices:
1.5 kmph
13 kmph
6.5 kmph
7.5 kmph
Answer: A
Question: a man have 8 t-shirt and some pant.he can dress in 72 ways.then tell me the no. of pant that man have.
Choices:
9
10
11
12
Answer: A
Question: If the operation € is defined for all x and y by the equation x € y = 2*x*y, then 6 € (4 € 5) =
Choices:
480
160
240
360
Answer: A
Question: The line r ≡ 3x + ny − 7 = 0 passes through the point A = (3, 2) and is parallel to the line s ≡ mx + 2y − 13 = 0. Calculate the values of m and n.
Choices:
-6,-1
3,2
6,1
7,2
Answer: A
Question: Present ages of Abi and Suji are in the ratio of 5:4 respectively. Three years hence, the ratio of their ages will become 11:9 respectively. What is Suji's present age in years?
Choices:
21
22
23
24
Answer: D
Question: A man whose speed is 4.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey?
Choices:
4 kmph
8 kmph
3 kmph
9 kmph
Answer: A
Question: 1 quarter Kg of potatoes cost 60 paise. Calculate the cost of 200 grams
Choices:
48 paise
96 paise
66 paise
55 paise
Answer: A
Question: In how many ways can you line up 7 apples in a row if one of them cannot be in the middle or at the either end?
Choices:
52
2,880
98
2,560
Answer: B
Question: A trader owes a merchant Rs. 10,028 due 1 year hence. The trader wants to settle the account after 3 months. If the rate of interest is 12% per annum,how much cash should he pay ?
Choices:
Rs. 9200
Rs. 9600
Rs. 9560
None of these
Answer: A
Question: The "prime sum" of an integer n greater than 1 is the sum of all the prime factors of n, including repetitions. For example , the prime sum of 12 is 7, since 12 = 2 x 2 x 3 and 2 +2 + 3 = 7. For which of the following integers is the prime sum greater than 35 ?
Choices:
512
620
700
750
Answer: B
Question: A and B are two stations 390 km apart. A train starts from A at 10 a.m. and travels towards B at 65 kmph. Another train starts from B at 11 a.m. and travels towards A at 35 kmph. At what time do they meet?
Choices:
2.15 p.m
4.15 p.m
3.15 p.m
12.15 p.m
Answer: A
Question: The number of ways in which six boys and six girls can be seated in a row for a photograph so that no two girls sit together is ?
Choices:
6! * ⁷P₆
9! * ⁷P₆
6! * ⁷9₆
7! * ⁷P₆
Answer: A
Question: Solve below question 2x + 1 = -15
Choices:
-8
9
8
-7
Answer: A
Question: If Sam shares his books in the ratio of 1/8 : 1/9 : 1/10 : 1/11 between his four friends A, B, C and D, then find the total number of books Sam should have?
Choices:
1692
1591
1691
16911
Answer: D
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
2781
2778
1781
Answer: A
Question: The product of two numbers is 120 and the sum of their squares is 289. The sum of the number is?
Choices:
23
27
31
35
Answer: A
Question: Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively . If they cross each other in 23 seconds, what is the ratio of their speeds?
Choices:
3 : 1
1 : 3
3 : 2
2 : 3
Answer: C
Question: Sentence B can only be a concluding sentence; we find in the answer choice–b, a sequence of the sentences logically leading to the concluding sentence
Choices:
88
171
19
111
Answer: A
Question: 35% of the people read newspaper X, 55% read newspaper Y and 15% read both the papers.What percentage of the people read neither newspaper ?
Choices:
10%
15%
30%
25%
Answer: D
Question: 5100−(102÷20.4)=?
Choices:
5150
5250
6150
5095
Answer: D
Question: Two trains 130 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
Choices:
10.7
10.3
10.44
10.8
Answer: C
Question: A car traveling at a certain constant speed takes 2 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 900 kilometers per hour. At what speed, in kilometers per hour, is the car traveling?
Choices:
600
672.5
673
773.5
Answer: A
Question: In a sequence of 11 numbers, each term, except for the first one, is 11^11 less than the previous term. If the greatest term in the sequence is 11^12, what is the smallest term in the sequence?
Thus, A12 = A1+12-1d
Where d is the difference between each pairs of consecutive terms. Since each term is 1211 less than the previous term, d=-1211Click individual answer choices for specific explanations.
From what I undersltand the formula for an arithmetic sequence represents
some-number-in-the-sequence= first-number-in-sequence +the-place-of-that-number - 1x the-difference-of-each-#-in-the-sequence
Choices:
0
11^11
11·12^11
12^12
Answer: B
Question: At a certain restaurant, the ratio of the number of cooks to the number of waiters is 3 to 10. When 12 more waiters are hired, the ratio of the number of cooks to the number of waiters changes to 3 to 13. How many cooks does the restaurant have?
Choices:
6
9
12
15
Answer: C
Question: How many 5 letter words ( with or without meaning) can be formed using all the following 5 letters P,U,R,S,and T so that letter P is to the left of letter R?
Choices:
60
90
120
75
Answer: A
Question: If the product 4864*9 P 2 is divisible by 12, the value of p?
Choices:
1
6
7
9
Answer: A
Question: In a certain company, a third of the workers do not have a retirement plan. 20% of the workers who do not have a retirement plan are women, and 40% of the workers who do have a retirement plan are men. If 144 of the workers of that company are men, how many of the workers are women?
Choices:
95
105
120
126
Answer: D
Question: The average (arithmetic mean) of eight numbers is 44.1. If the sum of half of these numbers is 156.4, what is the average of the other half?
Choices:
24.2
49.1
72.1
96.8
Answer: B
Question: What is the median from the below series 90, 92, 93, 88, 95, 88, 97, 87, and 98
Choices:
85
92
97
100
Answer: B
Question: 12 men can complete any work in 36 days. 18 women can complete the same piece of work in 60 days. 8 men and 20 women work together for 20 days. If only the women were to complete the remaining work in 4 days, then how many women would be required?
Choices:
74
68
75
70
Answer: A
Question: A train 110 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
Choices:
6 sec
3 sec.
1 sec.
8 sec.
Answer: A
Question: An electric motor makes 3,000 revolutions per minutes. How many degrees does it rotate in one second?
Choices:
43.000 degrees / second
52.000 degrees / second
18.000 degrees / second
29.000 degrees / second
Answer: C
Question: A car traveled the first quarter of a certain distance at five times the speed it traveled the remaining distance. What proportion of the total time traveled, was the time taken to travel the first quarter of the distance?
Choices:
1/15
1/16
1/17
1/18
Answer: B
Question: Jerry received a 10% raise each month for two consecutive months. What was his starting salary if after the two raises his salary is $1452?
Choices:
$1,200
$1,331
$1,380
$1,403
Answer: A
Question: A train 200 meters long completely crosses a 300 meters long bridge in 45 seconds. What is the speed of the train is?
Choices:
28
40
27
21
Answer: B
Question: 30 men can do a work in 40 days. When should 20 men leave the work so that the entire work is completed in 40 days after they leave the work?
Choices:
10
19
187
12
Answer: A
Question: A baseball player just signed a new contract in which he will earn a 12% raise in base pay over last year. Last year he earned no performance bonus, but this year he will have the opportunity to earn up to $50,000 in extra pay through performance. If he earns the full performance bonus, his salary will effectively have been raised by 12.5% from the last year. Assuming he earns the full performance bonus, what will his new salary be?
Choices:
10,550,000
11,250,000
11,450,000
12,250,000
Answer: B
Question: At the end of three years what will be the compound interest at the rate of 10% p.a. on an amount of Rs.20000?
Choices:
6620
6520
6629
6609
Answer: A
Question: The average of 6 observations is 12. A new observation is included and the new average is decreased by 1. The seventh observation is?
Choices:
3
5
6
7
Answer: B
Question: Company A has 13 employees, 8 of whom belong to the union. If 5 people work any one shift, and the union contract specifies that at least 3 union members work each shift, then how many different combinations of employees might work any given shift?
Choices:
231
336
350
406
Answer: B
Question: The sum of the squares of three numbers is 138, while the sum of their products taken two at a time is 131. Their sum is:
Choices:
20
40
50
None of these
Answer: A
Question: A cylindrical water tower with radius 28 m and height 10 m is 3/4 full at noon. Every minute, .08π m3 is drawn from tank, while .03π m3 is added. Additionally, starting at 1pm and continuing each hour on the hour, there is a periodic drain of 4π m3. From noon, how many hours will it take to drain the entire tank?
Choices:
820 6/7
821
821 3/7
840
Answer: D
Question: Which of the following numbers has four distinct prime factors?
Choices:
231
308
320
390
Answer: D
Question: A new apartment complex purchased 60 toilets and 20 shower heads. If the price of a toilet is three times the price of a shower head, what percent of the total cost was the cost of all the shower heads?
Choices:
10%
11%
13%
15%
Answer: A
Question: For the symbol, m”n=n^2−m for all values of m and n. What is the value of 4”2?
Choices:
3
2
1
0
Answer: D
Question: If 7 spiders make 7 webs in 7 days, then how many days are needed for 1 spider to make 1 web?
Choices:
7
3
14
15
Answer: A
Question: In a party every person shakes hands with every other person. If there were a total of 190 handshakes in the party then what is the number of persons present in the party ?
Choices:
16
17
18
20
Answer: D
Question: A man swims downstream 30 km and upstream 18 km taking 3 hours each time, what is the speed of the man in still water?
Choices:
8
5
6
3
Answer: A
Question: A trader marks his articles 20% more than the cost price. If he allows 20% discount, then find his gain or loss percent?
Choices:
8%
5%
2%
4%
Answer: D
Question: The difference between the place values of two threes in the numerical 40378273 is
Choices:
299997
297
0
None of them
Answer: A