antoine-444/aqua_rat_dataset huggingface dataset:
Question: y = 2x^2 + bx + 256 cuts the x axis at (h, 0) and (k, 0). If h and k are integers, what is the least value of b?
Choices:
-124.5
-128.5
-132.5
132.5
Answer: B
Question: Alice leaves her home and walks toward Bob's house. One hour later, Bob leaves his home and walks toward Alice's house. The distance between their homes is 41 kilometers, Alice's walking speed is 5 km/h, and Bob's walking speed is 4 km/h. How many kilometers will Alice walk before she meets Bob?
Choices:
25
27
38
30
Answer: A
Question: Which of the following fractions, if written as a decimal, would have a 2 in the thousandths place ?
Choices:
3/11
1/8
4/7
1/6
Answer: A
Question: A sheet of paper has statements numbered from 1 to 40. For all values of n from 1 to 40, statement n says: ‘Exactly n of the statements on this sheet are false.’ Which statements are true and which are false?
Choices:
The odd numbered statements are true and the even numbered statements are false.
All the statements are false.
The 39th statement is true and the rest are false
The 69th statement is true and the rest are false
Answer: A
Question: A train covers a certain distance at a speed of 200kmph in 4 hours. To cover the same distance in 2 hours, it must travel at a speed of
Choices:
400 km/hr
450 km/hr
470 km/hr
580 km/hr
Answer: A
Question: There are two circles of different radii. The are of a square is 784 sq cm and its side is twice the radius of the larger circle. The radius of the larger circle is seven - third that of the smaller circle. Find the circumference of the smaller circle.
Choices:
277
12
989
221
Answer: B
Question: There are 13 which, 15 black, 16 red hats on a table. In one step, you may chose two hats of different colors and replace each one by a hat of the third color. After how many steps this can be reached?
Choices:
7
3
9
1
Answer: B
Question: A row of ants comprised of 102 ants. A man walked upon it and all except 42 were crushed beneath his foot.
How many ants are left alive?
Choices:
42
43
44
45
Answer: A
Question: John purchased a grinder and a mobile for Rs. 15000 &Rs. 8000 respectively. He sold the grinder at a loss of 4% and the mobile phone at a profit of 10%. Overall how much he make aprofit.
Choices:
Rs. 120
Rs. 200
Rs. 250
Rs. 290
Answer: B
Question: If x > 2000, then the value of (x)/(2x+1) is closest to?
Choices:
1/3
10/21
1/2
3/2
Answer: C
Question: If the cost price is 91% of sp then what is the profit %
Choices:
9.89%
9.00%
8.00%
9.27%
Answer: A
Question: In a race of 2.4 Kms. A beats B by 400 m or 20 sec. What is A’s time over the course?
Choices:
1 min
1 min 10 sec
1min 40 sec
1min 50 sec
Answer: C
Question: On a certain road, 40% of the motorists exceed the posted speed limit and receive speeding tickets, but 20% of the motorists who exceed the posted speed limit do not receive speeding tickets. What percent of the motorists on that road exceed the posted speed limit?
Choices:
12.5%
15%
22%
50%
Answer: D
Question: Tanks C and B are each in the shape of a right circular cylinder. The interior of tank C has a height of 10 meters and a circumference of 8 meters, and the interior of tank B has a height of 8 meters and a circumference of 10 meters. The capacity of tank C is what percent of the capacity of tank B?
Choices:
80%
100%
120%
125%
Answer: A
Question: A college has raised 75% of the amount it needs for a new building by receiving an average donation of Rs. 600 from the people already solicited. The people already solicited represent 60% of the people, the college will ask for donations. If the college is to raise exactly the amount needed for the new building, what should be the average donation from the remaining people be solicited?
Choices:
300
400
500
None
Answer: A
Question: Train A left Centerville Station, heading toward Dale City Station, at 3: 00 p.m. Train B left Dale City Station, heading toward Centerville Station, at 3: 20 p.m. on the same day. The trains rode on straight tracks that were parallel to each other. If Train A traveled at a constant speed of 30 miles per hour and Train B traveled at a constant speed of 10 miles per hour, and the distance between the Centerville Station and Dale City Station is 90 miles, when did the trains pass each other?
Choices:
5: 00 p.m.
5: 20 p.m.
5: 35 p.m
6: 00 p.m
Answer: B
Question: A rectangular field 30 m long and 20 m broad. How much deep it should be dug so that from the earth taken out, a platform can be formed which is 8 m long, 5.5 m broad and 1.5 m high where as the earth taken out is increase by 10/5?
Choices:
10 cm
83 cm
20 cm
30 cm
Answer: A
Question: A thief goes away with a SANTRO car at a speed of 40 kmph. The theft has been discovered after half an hour and the owner sets off in a bike at 50 kmph when will the owner over take the thief from the start?
Choices:
2 hours
8 hours
3 hours
3 hours
Answer: A
Question: Find the mean proportional of the following pairs of numbers 6 and 24.
Choices:
28
29
23
12
Answer: A
Question: A person goes to his office at 1/3rd of the speed at which he returns from his office. If the avg speed during the whole trip is 12m/h. what is the speedof the person while he was going to his office?
Choices:
8km/h
14km/h
16km/h
17km/h
Answer: A
Question: 5 men and 3 boys working together can do four times as much work as a man and a boy. Working capacity of man and boy is in the ratio
Choices:
1:1
2:1
2:3
None of these
Answer: A
Question: Carol and Jordan draw rectangles of equal area. If Carol's rectangle measures 5 inches by 24 inches and Jordan's rectangle is 3 inches long, how wide is Jordan's rectangle, in inches?
Choices:
43
42
40
18
Answer: C
Question: Three cubes of metal whose edges are 9, 12 and 15 cm respectively, are melted and one new cube is made. Find the edge of the new cube?
Choices:
88
71
18
77
Answer: C
Question: Two planes take off from neighboring runways at the same time. The British Airways Jet heads directly East at 300 Km/Hr, while the American Airlines Jet takes off heading directly west at 250km/hr. At this speed, how long before the two planes are 2,000 Km away from each other?
Choices:
3.75 hours
3.0 hours
3.5 hours
3.63 Hours
Answer: D
Question: If the sum of a number and its square is 210, What is the number?
Choices:
14
25
87
171
Answer: A
Question: During a clearance sale, a retailer discounted the original price of its TVs by 30% for the first two weeks of the month, then for the remainder of the month further reduced the price by taking 20% off the sale price. For those who purchased TVs during the last week of the month, what percent of the original price did they have to pay?
Choices:
45%
56%
60%
62.5%
Answer: B
Question: 80 370 860 ? 2440 3530
Choices:
840
750
860
1550
Answer: D
Question: In how many ways a committee consisting of 3 men and 2 women can be formed from 4 men and 9 women?
Choices:
A)144
C)20
D)18
E)21
Answer: A
Question: Average of first five multiples of 10 is
Choices:
11
30
15
17
Answer: B
Question: Of the land owned by a farmer, 90 percent was cleared for planting. Of the cleared land, 60 percent was planted with grapes and 30 percent of the cleared land was planted with potato. If the remaining 360 acres of cleared land was planted with tomato, how many acres did the farmer own?
Choices:
3450
4000
3750
3800
Answer: B
Question: There are 2 friends Peter and Paul. Peter age is twice as old as Paul when peter was as old as Paul is now. Sum of the present ages of Peter and Paul is 35.What is the present age of Peter?
Choices:
15
20
25
30
Answer: B
Question: Eight people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased by:
Choices:
1/7
1/9
7/8
1/5
Answer: A
Question: The sequence x1, x2, x3,..., is such that Xn = 1/n - (1/(n+1)). What is the sum of the first 200 terms of the sequence?
Choices:
99/100
100/101
1/10000
200/201
Answer: D
Question: In a mixture of 60 litres the ratio of milk to water is 5:1. Additional 20 litres of water is added to the mixture. Find the ratio of milk to water in the resulting mixture.
Choices:
5:3
1:4
3:2
3:1
Answer: A
Question: A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled?
Choices:
8.9 hrs
2.9 hrs
7.2 hrs
8.6 hrs
Answer: C
Question: If (10^67) – 63 is written as a base 10 integer, which of the following options is the sum of the digits in that integer?
Choices:
495
590
595
695
Answer: C
Question: A relay has a series of 5 circuits in a line. The even-numbered circuits are control circuits; the odd are buffer circuits. If both a control circuit and the buffer circuit immediately following it both fail in that order, then the relay fails. The probability of circuit one failing is 1/8; circuit two, 3/8; circuit three, 3/10; circuit four, 3/4; and circuit five, 2/5 .What is the probability that the relay fails?
Choices:
3/10
35/80
303/800
497/800
Answer: C
Question: Effective annual rate of interest corresponding to nominal rate of 6% per annum compounded half yearly will be
Choices:
6.09%
6.12%
6.14%
None of these
Answer: A
Question: If the average (arithmetic mean) of x + 1, x + 4, and x + 7 is 0, then x =
Choices:
–4
–2
–1
0
Answer: A
Question: Find the average of first 20 natural numbers.
Choices:
B)20.5
C)10.5
D)15.5
E)21.9
Answer: B
Question: Difference between the length and breadth of a rectangle is 23 m. Ifits perimeter is 206 m, then its area is??
Choices:
1520 m^2
2520 m^2
2600 m^2
3420 m^2
Answer: B
Question: A man can row upstream at 12kmph and downstream at 14kmph. Find man's rate in still water ?
Choices:
15km/hr
13km/hr
20km/hr
7.5km/hr
Answer: B
Question: The forth proportional to 5,10,20 is?
Choices:
40
45
80
35
Answer: A
Question: 6 private companies bought a share of 2 million dollars. If the all companies have to pay the same amount and none of them have bills smaller than $1, how much money would they have to pay?
Options:
Choices:
$2,000,001
$2,000,004
$2,000,007
$2,000,009
Answer: B
Question: The average (arithmetic mean) of four numbers is 4x + 6. If one of the numbers is x, what is the average of the other three numbers?
Choices:
3x + 3
5x + 8
5x + 4
15x + 12
Answer: B
Question: Tavid has d books, which is 3 times as many as Jeff and 1/2 as many as Paula. How many books do the three of them have altogether, in terms of d?
Choices:
7/3*d
10/3*d
7/2*d
9/2*d
Answer: B
Question: A man purchased 3 blankets @ Rs.100 each, 1 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets?
Choices:
1050
1550
5102
5000
Answer: A
Question: The side of a square is increased by 30% then how much % does its area increases?
Choices:
69
50.75
42.75
52.75
Answer: A
Question: Some pens are divided among A, B, C and D. A gets twice the number of pens that B gets. C gets the same number of pens as D gets. If A gets 25 pens more than D and the ratio of the number of pens that B and C get is 2 : 3, then find the number of pens that D gets ?
Choices:
76 pens
75 pens
87 pens
12 pens
Answer: B
Question: A train 160 metres long passes a standing man in 18 seconds. The speed of the train is
Choices:
45 kmph
32 kmph
42 kmph
None of these
Answer: B
Question: How many multiples of 2 are there between 1 and 54, exclusive?
Choices:
22
24
26
28
Answer: C
Question: find the terms which do not contain 7 between 1000 and 9999
Choices:
3168
3170
3172
3174
Answer: A
Question: Find the value for x from below equation: x/3=-2?
Choices:
-6
-3
4
-5
Answer: A
Question: How many seconds will a 500 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Choices:
10 sec
5 sec
30 sec
60 sec
Answer: C
Question: The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and 15 as remainder. What is the smaller number?
Choices:
270
295
360
365
Answer: A
Question: How many odd integers Q between 200 and 600 are there such that their tens digit is even?
Choices:
25
100
150
200
Answer: B
Question: A can copy 50 papers in 10 hrs, while A & B can copy 70 papers in 10 hrs. How many hours are required for B to copy 26 papers?
Choices:
12 hours
13 hours
14 hours
18 hours
Answer: B
Question: The three digits of a number add up to 23. The number is divisible by 5. The leftmost digit is double the middle digit. What is the product of the three digits?
Choices:
720
360
380
425
Answer: B
Question: 34 people attend a party. 4 men are single and the rest are there with their wives. There are no children in the party. In all 22 women are present. Then the number of married men at the party is ?
Choices:
6
7
8
9
Answer: C
Question: A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2460?
Choices:
750
261
787
17`
Answer: A
Question: John bought 2 shares and sold them for $96 each. If he had a profit of 20% on the sale of one of the shares but a loss of 20% on the sale of the other share, then on the sale of both shares John had
Choices:
a profit of $8
a loss of $8
a loss of $10
neither a profit nor a loss
Answer: B
Question: A student chose a number, multiplied it by 2, then subtracted 180 from the result and got 104. What was the number he chose?
Choices:
100
120
142
200
Answer: C
Question: Bhanu spends 30% of his income on petrol on scooter 20% of the remaining on house rent and the balance on food. If he spends Rs.300 on petrol then what is the expenditure on house rent?
Choices:
140
128
797
123
Answer: A
Question: The average of 5 quantities is 12. The average of 3 of them is 4. What is the average of remaining 2 numbers?
Choices:
24
8
9.5
None of these
Answer: A
Question: For every positive integer n, the nth term of a sequence is the total sum of three consecutive integers starting at n. What is the total sum of terms 1 through 50 of this series?
Choices:
3975
4375
4525
4775
Answer: A
Question: Harry started a 6-mile hike with a full 7-cup canteen of water and finished the hike in 2 hours with 1 cup of water remaining in the canteen. If the canteen leaked at the rate of 1 cup per hour and Harry drank 1 cups of water during the last mile, how many cups did he drink per mile during the first 5 miles of the hike?
Choices:
2/3
1/3
3/5
4/5
Answer: D
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:
17568
17576
13454
18776
Answer: B
Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. Find the length of the train.
Choices:
150 meter
278 meter
208 meter
277 meter
Answer: A
Question: If the sum of n consecutive positive integers is 33, what of the following could be the value of n?
I. 3
II. 6
III. 11
Choices:
II only
III only
I and II
I, II and III
Answer: C
Question: A trained covered x km at 40 kmph and another 2x km at 20 kmph. Find the average speed of the train in covering the entire 3x km.
Choices:
99
24
77
898
Answer: B
Question: Look at this series: 53, 53, 40, 40, 27, 27, ... What number should come next?
Choices:
15
14
18
17
Answer: B
Question: A certain school principal must choose 5 students to attend a field trip out of a group of 10 students. In addition, out of the 5 chosen students, the principal must select a note-taker and a treasurer. How many different ways are there for the principal to select the 5 students and then select the treasurer and the note-taker?
Choices:
2,520
5,040
6,020
10,080
Answer: B
Question: What is the remainder when 3990990900032 is divided by 32 ?
Choices:
0
4
2
3
Answer: A
Question: From the below series find the remainder?
1201 × 1203 ×1205 × 1207 is divided by 6
Choices:
3
8
4
9
Answer: A
Question: Using all the letters of the word "NOKIA", how many words can be formed, which begin with N and end with A?
Choices:
6
9
3
1
Answer: A
Question: The price of a jacket is reduced by 25%. During a special sale the price of the jacket is reduced another 30%. By approximately what percent must the price of the jacket now be increased in order to restore it to its original amount?
Choices:
125
122.2
105.5
65
Answer: B
Question: If x dollars is invested at 10 percent for one year and y dollars is invested at 8 percent for one year, the annual income from the 10 percent investment will exceed the annual income from the 8 percent investment by $38. If $2,000 is the total amount invested, how much is invested at 8 percent?
Choices:
$800
$900
$1100
$1200
Answer: B
Question: a is a positive integer and multiple of 2; p = 4^a, what is the remainder when p is divided by 10?
Choices:
6
4
0
It Cannot Be Determined
Answer: A
Question: A room 8 m 47 cm long and 7m 77 cm broad is to be paved with square tiles. Find the least number of square tiles required to cover the floor.
Choices:
13440
13647
13431
13675
Answer: C
Question: A large delicatessen purchased Q pounds of cheese for c dollars per pound. If d pounds of the cheese had to be discarded due to spoilage and the delicatessen sold the rest for s dollars per pound, which of the following represents the gross profit on the sale of the purchase? (gross profitequalssales revenueminusproduct cost)
Choices:
s(p − d) − pc
c(p − d) − ds
d(s − c) − pc
pc − ds
Answer: D
Question: What is the sum of all the composite numbers up to 12?
Choices:
20
36
40
49
Answer: D
Question: If n is the product of 3 consecutive integers, which of the following must be true about n?
I. n is a multiple of 2
II. n is a multiple of 3
III. n is a multiple of 4
Choices:
II only
III only
I and II
II and III
Answer: C
Question: How many positive even integers less than 100 contain digits 7 or 9?
Choices:
17
18
19
10
Answer: D
Question: 36 men can complete a piece of work in 18 days. In how many days will 72 men complete the same work ?
Choices:
17
18
9
11
Answer: C
Question: If x is a positive integer, which of the following must be odd?
Choices:
x^2+x
x^2+x+7
x^2−1
3x^2−3
Answer: B
Question: The length of the bridge, which a train 110 meters long and travelling at 45 km/hr can cross in 30 seconds, is?
Choices:
265
245
776
232
Answer: A
Question: A bag contains 8 red, 6 blue and 4 green balls. If 2 ballsare picked at random, what is the probability that both are red?
Choices:
2/23
5/26
7/30
3/23
Answer: C
Question: A train 150 m long passes a km stone in 15 seconds and another train of the same length travelling in opposite direction in 8 seconds.The speed of the second train is
Choices:
66 kmph
72 kmph
99 kmph
89 kmph
Answer: C
Question: A committee has 4 men and 6 women. What are the number of ways of selecting 2 men and 3 women from the given committee?
Choices:
120
200
240
300
Answer: A
Question: The sides of a cube are in the ratio of 1:2 the ratio of their volumes is ?
Choices:
1:4
1:8
2:1
2:4
Answer: B
Question: A alone can do a work in 12 days. A and B together finished work and got rs.54 and rs.18 respectively. In how many days was the work finished?
Choices:
14
9
10
8
Answer: B
Question: A cashier mentally reversed the digits of one customer's correct amount of change and thus gave the customer an incorrect amount of change. If the cash register contained 27 cents more than it should have as a result of this error, which of the following could have been the correct amount of change in cents?
Choices:
45
54
65
41
Answer: D
Question: A batsman scored 130 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets?
Choices:
45 %
53(11/13) %
44(5/11) %
None of these
Answer: B
Question: The L.C.M of two numbers is 48. The numbers are in the ratio 4:3. The sum of numbers is:
Choices:
28
40
50
60
Answer: A
Question: A salesman sold twice as much pears in the afternoon than in the morning. If he sold 360 kilograms of pears that day, how many kilograms did he sell in the morning and how many in the afternoon?
Choices:
190
100
240
280
Answer: C
Question: A motorcycle importer is planning on increasing the price of a certain model by $1000. At this new price 8 fewer motorcycles will be sold per month, but the total revenues will increase by $26,000 to $594,000. What is the number of motorcycles the manufacturer will sell at this new price?
Choices:
62
65
63
64
Answer: C
Question: Convert the following unit:
2.5 hectares in ares
Choices:
210 ares.
220 ares.
250 ares.
240 ares.
Answer: C
Question: A teacher will pick a group of 4 students from a group of 9 students that includes Bart Lisa and john. If one of all the possible four-student groups is picked at random, what is the probability of picking a group that includes john Bart and Lisa?
Choices:
3/14
1/4
1/21
3/7
Answer: C
Question: At what price must an article costing Rs.47.50 be marked in order that after deducting 5% from the list price. It may be sold at a profit of 25% on the cost price?
Choices:
62.5
62.9
62.1
62.2
Answer: A
Question: Which of the following must be an integer if the integer x is divisible by both 15 and 21?
Choices:
x/189
x/126
x/105
x/81
Answer: C
Question: If you cut a 20ft piece of wood into two pieces making one piece 6ft longer than the other. What size is the smaller piece?
Choices:
7ft
8ft
10ft
12ft
Answer: A
Question: If 2a = 3b and ab ≠0, what is the ratio of a/3 to b/2?
Choices:
8/27
1
9/4
81/64
Answer: B
Question: If 12 men and 16 boys can do a piece of work in 5 days; 13 men and 24 boys can do it in 4 days, then the ratio of the daily work done by a man to that of a boy is?
Choices:
2:1
2:2
2:6
2:3
Answer: A
Question: The mean of (54,821)^2 and (54,823)^2 =
Choices:
(54,821.5)^2
(54,820.5)^2
(54,821)^2 + 1
(54,822)^2 + 1
Answer: D
Question: What number should replace the question mark?
105, 87, 70, 52, 35,?
Choices:
37
70
17
83
Answer: C
Question: A train, 800 meter long is running with a speed of 78 km/hr. It crosses a tunnel in 1 minute. What is the length of the tunnel ?
Choices:
555 meter
500 meter
458 meter
None of these
Answer: B
Question: What is the unit’s digit of 7^6
Choices:
3
5
7
9
Answer: D
Question: In how many different ways can 3 identical green boots and 3 identical red boots be distributed among 6 people such that each person receives a pair of boots?
Choices:
4059659
2169
20
7291
Answer: C
Question: How long does a train 110 m long travelling at 60 kmph takes to cross a bridge of 200 m in length?
Choices:
18.6 sec
12.4 sec
16.8 sec
11.8 sec
Answer: A
Question: 8 is 6% of a, and 6 is 8% of b. c equals b/a. What is the value of c?
Choices:
8/15
9/16
12/25
16/27
Answer: B
Question: In a certain state, gasoline stations compute the price per gallon p, in dollars, charged at the pump by adding a 6 percent sales tax to the dealer's price per gallon d, in dollars, and then adding a gasoline tax of $0.18 per gallon. Which of the following gives the dealer's price per gallon d in terms of the price per gallon p charged at the pump?
Choices:
d= (p-0.18)/1.06
d = (p-0.06)/1.18
d = p-0.24
d = p/1.24
Answer: A
Question: By selling 50 meters of cloth. I gain the selling price of 15 meters. Find the gain percent?
Choices:
42 8/7%
72 6/7%
42 6/7%
42 6/1%
Answer: C
Question: If the product of the integers from 1 to n is divisible by 1029, what is the least possible value of n?
Choices:
14
21
28
35
Answer: B
Question: If b, x, y, and z are positive integers and (x)×(y)×(z)=b^2, which of the following could be the values of x, y, and z?
Choices:
9, 25, 24
2, 81, 32
2, 9, 16
8, 16, 36
Answer: B
Question: A certain store sells all maps at one price and all books at another price. On Monday the store sold 9 maps and 6 books for a total of $20.00, and on Tuesday the store sold 9 maps and 8 books for a total of $30.00. At this store, how much less does a map sell for than a book?
Choices:
$0.50
$0.75
$3.9
$l.25
Answer: C
Question: The compound interest on Rs.2,000 at 10% per annum for 3 years payable half yearly is
Choices:
Rs.630
Rs.660
Rs.680
Rs.690
Answer: C
Question: A boat can move upstream at 35 kmph and downstream at 65 kmph, then the speed of the current is?
Choices:
15
9
12
10
Answer: A
Question: Find the missing number in the given sequence : 1,4,7,?,13,16,?
Choices:
10 & 19
9 & 18
11 & 20
12 & 21
Answer: A
Question: In a manufacturing plant, it takes 36 machines 4 hours of continuous work to fill 4 standard orders. At this rate, how many hours of continuous work by 72 machines are required to fill 12 standard orders?
Choices:
6
8
9
12
Answer: A
Question: N is one of the numbers below. N is such that when multiplied by 0.75 gives 1. Which number is equal to N?
Choices:
1 1/3
5/3
3/2
2/3
Answer: A
Question: A cylinder of height h is 8/9 of water. When all of the water is poured into an empty cylinder whose radius is 25 percent larger than that of the original cylinder, the new cylinder is 3/5 full. The height of the new cylinder is what percent of h?
Choices:
50%
68%
80%
100%
Answer: B
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:
16 m
245 m
19 m
27 m
Answer: B
Question: At a certain health club, 30 percent of the members use both the pool and sauna, but 35 percent of the members who use the pool do not use the sauna. What percent of the members of the health club use the pool?
Choices:
51 23/27%
50%
62 1/2%
75%
Answer: A
Question: 15 binders can bind 1400 books in 21 days. How many binders will be required to bind 1600 books in 20 days?
Choices:
18
24
28
None of these
Answer: A
Question: The difference between a two-digit number and the number after interchanging the position of the two digits is 54. What is the difference between the two digits of the number?
Choices:
6
3
Cannot be determined
None of these
Answer: A
Question: On dividing number by 357, we get 39 as remainder. On dividing the same number by 17, what will be the remainder?
Choices:
3
5
11
13
Answer: B
Question: In a two-digit number, if it is known that its unit's digit exceeds its ten's digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is:
Choices:
24
26
82
72
Answer: A
Question: A box contains 4 red chips and 3 blue chips. If two chips are selected at random without replacement, what is the probability that the chips are different colors?
Choices:
12/21
7/12
2/3
7/10
Answer: A
Question: 894.7 – 573.07 – 95.007 = ?
Choices:
226.623
233.523
414.637
None of these
Answer: A
Question: A train when moves at an average speed of 60 kmph, reaches its destination on time. When its average speed becomes 45 kmph, then it reaches its destination 30 minutes late. Find the length of journey.
Choices:
76 km
85 km
90 km
None of these
Answer: C
Question: A certain sum of money is divided among A, B and C so that for each Rs. A has, B has 65 paisa and C 40 paisa. If C's share is Rs.40, find the sum of money?
Choices:
276
727
205
628
Answer: C
Question: In what time will a railway train 60 m long moving at the rate of 36 kmph pass a telegraph post on its way?
Choices:
7 sec
2 sec
6 sec
9 sec
Answer: C
Question: Camel and carriage for Rs. 5000. He SP the camel at a gain of 20% and the carriage at a loss of 10%. If he gains 3% on the whole, then find the CP of the camel?
Choices:
Rs.2166.67
Rs.2270.72
Rs.2145
Rs.2165
Answer: A
Question: The roots of the equation axpower2 + bx + c =0 will be reciprocal if:
Choices:
a-bc
c=a
c=b
c=ab
Answer: B
Question: a plane travelled k miles in 1st 96 miles of flight time.if it completed remaining 300 miles of the trip in 1 minute what is its average speed in miles/hr for entire trip ?
Choices:
396/60+k
386/60+k
366/60+k
356/60+k
Answer: A
Question: How many keystrokes are needed to type numbers from 1 to 500?
Choices:
1000
1500
1529
1392
Answer: D
Question: An archer is shooting arrows from various distances. She shoots at a target from 60 yards, 70 yards, and 80 yards. The probability that she hits within the bullseye from 60 yards is 2/3, the probability that she hits within the bullseye from 70 yards is 3/5, and the probability that she hits within the bullseye from 80 yards is 1/2. What is the probability that she hits the bullseye at least once in three shots, one from each distance listed.
Choices:
29/30
49/50
9/10
14/15
Answer: D
Question: In a function they are distributing noble prize. In how many ways can 2 prizes be distributed among 5 boys when a boy gets any no. of prizes?
Choices:
25
64
70
80
Answer: A
Question: The speed of a boat in upstream is 40 kmph and the speed of the boat downstream is 80 kmph. Find the speed of the boat in still water and the speed of the stream?
Choices:
20 kmph
65 kmph
55 kmph
14 kmph
Answer: A
Question: There are 12 intermediate stations between two places A and B. Find the number of ways in which a train can be made to stop at 4 of these intermediate stations so that no two stopping stations are consecutive?
Choices:
112
126
140
None of these
Answer: B
Question: If,
1 * 3 * 5 = 16
3 * 5 * 7 = 38
Then find,
5 * 6 * 9 =?
Choices:
59
72
80
77
Answer: A
Question: Some numbers are very mysterious. They are all integers. They have more than one digit. If you multiply them with 2 their digits may shift ,but no new digit will include or no digit will disappear. Example: 12 is not such a number. Because if you multiply 2 with 12, it will become 24. And 24 includes a new digit 4 ,and fails to obtain the previous digit 1. Can you find one of them?
Choices:
142587
144487
142667
142577
Answer: A
Question: Find the lowest common multiple of 25, 35 and 50.
Choices:
350
510
320
280
Answer: A
Question: Two pipes A and B can fill a tank in 36 hours and 45 hours respectively. If both the pipes are opened simultaneously, how much time will be taken to fill the tank?
Choices:
20 hours
10 hours
12 hours
8 hours
Answer: A
Question: A shopkeeper sold an article offering a discount of 5% and earned a profit of 23.5%. What would have been the percentage of profit earned if no discount was offered?
Choices:
37%
30%
80%
33%
Answer: B
Question: Two mechanics were working on your car. One can complete the given job in 5 hours, but the new guy takes eight hours. They worked together for the first two hours, but then the first guy left to help another mechanic on a different job. How long will it take the new guy to finish your car?
Choices:
4/3
14/5
10/3
17/5
Answer: B
Question: An optometrist charges $150 per pair for soft contact lenses and $85 per pair for hard contact lenses. Last week she sold 5 more pairs of soft lenses than hard lenses. If her total sales for pairs of contact lenses last week were $1,455, what was the total number of pairs of contact lenses that she sold?
Choices:
11
15
17
19
Answer: A
Question: In how many years will a sum of money be doubled given that the annual interest on it is 10%?
Choices:
14
13
15
10
Answer: D
Question: What would be the compound interest on an amount of Rs.5500 at the rate of 5 p.c. per annum after 2 years?
Choices:
573.85
563.75
420.5
550
Answer: B
Question: The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 78 kmph, find the speed of the stream?
Choices:
19
14
18
26
Answer: D
Question: Eight percent of the programmers in a startup company weigh 200 pounds or more. Twenty-five percent of the programmers that are under 200 pounds in that same company weigh 100 pounds or less. What percent of the programmers in the startup company weigh between 100 and 200 pounds?
Choices:
20%
25%
69%
75%
Answer: C
Question: The area of a triangle will be when a = 1m, b = 2m, c = 5m, a, b, c being lengths of respective sides?
Choices:
7
5
3
4
Answer: D
Question: A water tank is one-fifth full. Pipe A can fill a tank in 10 minutes and pipe B can empty it in 6 minutes. If both the pipes are open, how many minutes will it take to empty or fill the tank completely?
Choices:
3
9
12
15
Answer: A
Question: The price of 3 pants and 6 t-shirts is Rs. 2250. With the same money one can buy 1 pant and 12 t-shirts. If one wants to buy 8 t-shirts, how much shall she have to pay ?
Choices:
1100
1000
1200
800
Answer: C
Question: When the price of an article was reduced by 30% its sale increased by 80%. What was the net effect on the sale?
Choices:
26% increase
60% increase
66% increase
66% decrease
Answer: A
Question: The average expenditure of a labourer for 10 months was 85 and he fell into debt. In the next 4 months by reducing his monthly expenses to 60 he not only cleared off his debt but also saved 30. His monthly income is
Choices:
100
112
110
None of the above
Answer: B
Question: The price of a book is increased from $300 to $480. What is the % of increase in its price?
Choices:
20%
40%
50%
60%
Answer: D
Question: How many terms are there in 2, 4, 8, 16,..., 512?
Choices:
11
12
9
8
Answer: C
Question: The speed of a bus increases by 2 km after every one hour. If the distance travelling in the first one hour was 35 km. what was the total distance travelled in 12 hours?
Choices:
552
376
287
166
Answer: A
Question: The volumes of two cones are in the ratio 1 : 10 and the radii of the cones are in the ratio of 1 : 2. What is the length of the wire?
Choices:
2:5
2:3
2:4
2:9
Answer: A
Question: Trail mix consists of Chex cereal, M&M's, raisins, and assorted nuts. If one serving consists of 4 cups Chex cereal, 3 cups M&M's, 2 cups rains, and 4 cups assorted nuts, and the ratio of the Chex is doubled to to the M&M's, what is the ratio of Chex to the rest of the dish?
Choices:
15: 9
7: 17
19: 23
Not enough information given for the answer
Answer: D
Question: In a group of 6 boys&4 girls 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 1girl?
Choices:
130
150
195
213
Answer: C
Question: When positive integer r 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: A tap can fill a tank in 8 hours. After half the tank is filled three more similar taps are opened. What is the total time taken to fill the tank completely?
Choices:
6 hrs
8 hrs
7.5 hrs
4 hrs
Answer: D
Question: Torry has submitted 2/5 of his homework assignments, and he received an average grade of 75 for those assignments. If he wishes to receive an average grade of 105 for all his homework assignments, the average grade for Torry's remaining homework assignments must be what percent greater than the average grade for the assignments he has already submitted?
Choices:
20%
25%
66 2/3%
40%
Answer: C
Question: A block of wood has dimensions 10cm x 10cm x 50cm. The block is painted red and then cut evenly at the 25 cm mark, parallel to the sides, to form two rectangular solids of equal volume. What percentage of the surface area of each of the new solids is not painted red?
Choices:
8.3%
11.6%
14.2%
17.5%
Answer: A
Question: A board 7ft. 9 inches long is divided into 3 equal parts . What is the length of each part?
Choices:
2 FT 7 IN
2 FT 6 IN
3 FT 7 IN
3 FT 6 IN
Answer: A
Question: In an office, 20 percent of the workers have at least 5 years of service, and a total of 16 workers have at least 10 years of service. If 90 percent of the workers have fewer than 10 years of service, how many of the workers have at least 5 but fewer than 10 years of service?
Choices:
32
50
144
160
Answer: A
Question: a and b are positive integers less than or equal to 8. If a and b are assembled into the six-digit number ababab, which of the following must be a factor of ababab?
Choices:
4
5
6
none of the above
Answer: A
Question: A right triangle has sides of a, b, and 9, respectively, where a and b are both integers. What is the value of (a + b)?
Choices:
49
96
81
72
Answer: C
Question: In what time will a railway train 60 m long moving at the rate of 36 kmph pass a telegraph post on its way?
Choices:
8 sec
5 sec
6 sec
11 sec
Answer: C
Question: In the graduating class of a certain college, 48 percent of the students are male and 52 percent are female. In this class 40 percent of the male and 30 percent of the female students are 25 years old or older. If one student in the class is randomly selected, approximately what is the probability that he or she will be less than 25 years old?
Choices:
B)0.6
C)0.45
D)0.3
E)0.25
Answer: A
Question: How many integers V are prime numbers in the range 200 < V < 220?
Choices:
1
3
4
5
Answer: A
Question: Carol spends 1/3 of her savings on a stereo and 1/3 less than she spent on the stereo for a television. What fraction of her savings did she spend on the stereo and television?
Choices:
2/7
5/9
1/2
7/12
Answer: B
Question: A certain country is divided into 6 provinces. Each province consists entirely of Progressives and Traditionalists. If each province contains the same number of Traditionalists and the number of Traditionalists in any given province is 1/9 the total number of Progressives in the entire country, what fraction of the country is Traditionalist?
Choices:
1/3
1/2
2/3
3/5
Answer: D
Question: How long does a train 100 m long traveling at 60 kmph takes to cross a bridge of 170 m in length?
Choices:
16.8 sec
15.2 sec
1.68 sec
16.2 sec
Answer: D
Question: Find √? /13 = 4 ?
Choices:
5776
304
2704
None
Answer: C
Question: As part of her MBA program, Karen applied for three different Spring Break outreach projects, each of which selects its students by a random lottery of its applicants. If the probability of her being accepted to each individual project is 50%, what is the probability that Karen will be accepted to at least one project?
Choices:
3/4
5/8
7/8
15/16
Answer: C
Question: At the end of the day, February 14th, a florist had 120 roses left in his shop, all of which were red, white or pink in color and either long or short-stemmed. A third of the roses were short-stemmed, 15 of which were white and 15 of which were pink. The percentage of pink roses that were short-stemmed equaled the percentage of red roses that were short-stemmed. If none of the long-stemmed roses were white, what percentage of the long-stemmed roses were red?
Choices:
25%
62.5%
75%
80%
Answer: B
Question: Prizes totaling $24,000 were awarded unequally between 3 contestants. Which of the following choices could be the highest prize?
Choices:
(b) $7,000
(c) $15,000
(d) $25,000
(e) $65,000
Answer: B
Question: 385, 462, 572, 396, 429, 671, 264
Choices:
429
671
264
None of these
Answer: A
Question: A sum of money becomes double itself in 8 years at simple interest. How many times will it become 24 years at the same rate?
Choices:
4
6
8
12
Answer: B
Question: What is the difference between the place values of two sevens in the numeral 54179759 ?
Choices:
99990
99980
69300
None of these
Answer: C
Question: Out of a total of 1,000 employees at a certain corporation, 52 percent are female and 40 percent of these females work in research. If 40 percent of the total number of employees work in research, how many male employees do NOT work in research?
Choices:
480
392
288
88
Answer: C
Question: What is the greatest power that 9 can be raised to so that the resulting number is a factor of 18!?
Choices:
2
4
5
6
Answer: A
Question: A train 145 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?
Choices:
57.2 km/hr
17 km/hr
18 km/hr
12 km/hr
Answer: A
Question: If p, q and r are positive integers greater than 1, and p and q are factors of r, which of the following must be the factor of r^(pq)?
I. p+q
II. q^p
III. p^2 * q^2
Choices:
II only
III only
I and II
II and III
Answer: D
Question: What is the volume of an tetrahedron with edge length of 1?
Choices:
0.76678113
0.11785113
2.11785113
0.11786667
Answer: B
Question: A can contains a mixture of liquids A and B is the ratio 7:5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7:9. How many liter T of liquid A was contained by the can initially?
Choices:
20
21
25
27
Answer: B
Question: If x^2=x+2, then x^3=?
Choices:
3x+2
2x+1
2x-3
3x+4
Answer: A
Question: In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit
Choices:
70%
90%
100%
None of above
Answer: A
Question: A tank is filled in TEN hours by three pipes A, B and C. Pipe A is twice as fast as pipe B, and B is twice as fast as C. How much time will pipe B alone take to fill the tank?
Choices:
28 hours
35 hours
66 hours
47 hours
Answer: B
Question: A courtyard is 25 meter long and 16 meter board is to be paved with bricks of dimensions 20 cm by 10 cm. The total number of bricks required is :
Choices:
18000
20000
22000
None of these
Answer: B
Question: In what time will a railway train 40 m long moving at the rate of 36 kmph pass a telegraph post on its way?
Choices:
5
9
4
7
Answer: C
Question: In the coordinate plane a slope of the line K is 0.5 times the y-intercept of the line K. What is the x-intercept of the line K?
Choices:
4
-2
1/2
-2
Answer: D
Question: There are between 70 and 80 cards in a collection of cards. If they are counted out 3 at a time, there are 2 left over, but if they are counted out 4 at a time, there is 1 left over. How many cards are in the collection?
Choices:
73
76
77
79
Answer: C
Question: From below option 49 is divisible by which one?
Choices:
B)3
C)4
D)5
E)7
Answer: D
Question: A sum of Rs.4800 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:
3120
2177
1987
1268
Answer: A
Question: Sum of two numbers is 30. Two times of the first exceeds by 5 from the three times of the other. Then the numbers will be?
Choices:
B)9
C)11
D)13
E)15
Answer: B
Question: On her annual road trip to visit her family in Seal Beach, California, Traci stopped to rest after she traveled 1⁄2 of the total distance and again after she traveled 1⁄4 of the distance remaining between her first stop and her destination. She then drove the remaining 200 miles and arrived safely at her destination. What was the total distance, in miles, from Traci’s starting point to Seal Beach?
Choices:
300
800
400
550
Answer: B
Question: (3108 + 6160) / 28
Choices:
350
331
310
None of these
Answer: B
Question: A pipe takes a hours to fill the tank. But because of a leakage it took 3 times of its original time. Find the time taken by the leakage to empty the tank
Choices:
60 min
90 min
80 min
70 min
Answer: B
Question: If 12 men can reap 120 acres of land in 36 days, how many acres of land can 54 men reap in 54 days?
Choices:
766
810
868
812
Answer: B
Question: A and B together can complete work in 4 days. A alone starts working and leaves it after working for 3 days completing only half of the work. In how many days it can be completed if the remaining job is undertaken by B?
Choices:
8
5
6
7
Answer: C
Question: A container holding 12 ounces of a solution that is 1 part alcohol to 2 parts water is added to a container holding 9 ounces of a solution that is 1 part alcohol to 2 parts water. What is the ratio of alcohol to water in the resulting solution?
Choices:
1:2
3: 5
4:7
7:3
Answer: A
Question: In a class, 30% of the students speaks truth, 20% speaks lie and 10% speaks both. If a student is selected at random, what is the probability that he has speak truth or lie?
Choices:
2/3
3/5
2/5
2/7
Answer: C
Question: If a certain sample of data has a mean of 21.0 and a standard deviation of 3.0, 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: Pipes A and B can fill a tank in 5 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 9/77 hrs
3 9/17 hrs
3 9/57 hrs
3 9/27 hrs
Answer: B
Question: What is the remainder when 1024*1047*1050*1053 is divided by 33?
Choices:
3
30
21
18
Answer: A
Question: Q and R are two-digit positive integers that have the same digits but in reverse order. If the positive difference between Q and R is less than 20, what is the greatest possible value of Q minus R?
Choices:
16
17
18
19
Answer: C
Question: Ram and shyam start a two-length swimming race at the same moment but from opposite ends of the pool. They swim in lanes at uniform speeds, but Hardy is faster than Andy. They 1st pass at a point 18.5m from the deep end and having completed one length each 1 is allowed to rest on the edge for exactly 45 sec. After setting off on the return length, the swimmers pass for the 2nd time just 10.5m from the shallow end. How long is the pool?
Choices:
60
55
50
45
Answer: D
Question: Which of the following CANNOT be the least common multiple of two positive integers x and y
Choices:
x
y
xy - y
x + y
Answer: C
Question: The integer x is divisible by both 9 and 36. Which of the following must be an integer?
Choices:
x/36
x/25
x/46
x/24
Answer: A
Question: The expression (11.98 x 11.98 + 11.98 x x + 0.02 x 0.02) will be a perfect square for x equal to:
Choices:
0.2
0.04
0.4
none
Answer: B
Question: In a certain neighborhood, there are half as many beige houses as white houses, and 8 times as many white houses as brown houses. What is the ratio of the number of brown houses to the number of beige houses?
Choices:
1:6
5:1
2:3
1:4
Answer: D
Question: The perimeter of a rectangular yard is completely surrounded by a fence that measures 18 meters. What is the length of the yard if the area of the yard is 20 meters squared?
Choices:
2
7
5
1
Answer: C
Question: On a map, 1 inch represents 28 miles. How many inches would be necessary to represent a distance of 383.6 miles?
Choices:
7.4
13.7
21.2
28.7
Answer: B
Question: If -3 < x < 7 and -6 < y < 3, which of the following specifies all the possible values of xy?
Choices:
-42 < xy < 18
-28 < xy < 18
-24 < xy < 21
-24 < xy < 24
Answer: A
Question: If the area of circle is 616 sq cm then its circumference?
Choices:
55
88
21
11
Answer: B
Question: A rectangular plot measuring 30 meters by 50 meters is to be enclosed by wire fencing. If the poles of the fence are kept 5 meters apart. How many poles will be needed?
Choices:
66m
26m
56m
32m
Answer: D
Question: Company X provides bottled water to its employees in 5 liter bottles, $5 each. At least how many 5L bottles must Company X buy monthly, so that new contract with $40 fixed monthly rate and $2 for 20L bottle each paid off? (Assume that no other costs apply)
Choices:
9
12
20
25
Answer: A
Question: Health insurance Plan V requires the insured to pay $1000 or 50% of total cost, whichever is lower. Plan B requires the insured to pay the initial $300, but then pays 80% of the cost over $300. Which of the following is a cost level for which both insurance plans pay out the same amount?
Choices:
$1000
$3800
$5300
$6200
Answer: A
Question: Two trains are running in opposite directions with the same speed. If the length of each train is 300 m and they cross each other in 12 sec, then the speed of each train is?
Choices:
77
36
1908
21
Answer: C
Question: 1+2+2^2+2^3+2^4=？
Choices:
2^6+1
2^5-1
2^5+1
2^5-2
Answer: B
Question: The true discount on a bill due 9 months hence at 16% per annum is Rs. 189. The amount of the bill is :
Choices:
B. Rs. 1764
C. Rs. 1575
D. Rs. 2268
None of these
Answer: A
Question: Each shelf of a bookcase contains 24 books. If the librarian took out 42 books and rearranged the remaining books so that all shelves but the last one contained 16 books and the last shelf contained 22 books, how many shelves does the bookcase have?
Choices:
5
6
8
9
Answer: B
Question: A cuboidal block 6cm x 9cm x 12cm is cut up into an exact number of equal cubes.The least possible number of equal cubes will be
Choices:
9
24
30
35
Answer: B
Question: Machine A and machine B are each used to manufacture 770 sprockets. It takes machine A 10 hours longer to produce 770 sprockets than machine B. Machine B produces 10% more sprockets per hour than machine A. How many sprockets per hour does machineAproduce?
Choices:
6.6
60
100
7.7
Answer: D