antoine-444/aqua_rat_dataset huggingface dataset:
Question: A solid yellow stripe is to be painted in the middle of a certain highway. If 1 gallon of paint covers an area of q square feet of highway, how many gallons of paint will be needed to paint a stripe of t inches wide on a stretch of highway m miles long? (1 mile = 5,280 feet and 1 foot = 12 inches)
Choices:
(5,280 mt) / 12 q
(5,280 pmt) /12
(5,280)(12m) / pt
(5,280)(12p) / mt
Answer: A
Question: Two twins sisters Sita and Geeta were standing back to back and suddenly they started running in opposite direction for 4 miles and then turn to left and run for another 3 miles.
what is the distance between the the two twins when they stop ?
Choices:
10 miles
9 miles
12 miles
13 miles
Answer: A
Question: In the biology lab of "Jefferson" High School there are 0.037*10^5 germs, equally divided among 148000*10^(-3) Petri dishes. How many germs live happily in a single dish?
Choices:
25
35
40
55
Answer: A
Question: The bankerâ€™s gain on a sum due 3 years hence at 12% per annum is Rs. 180. The bankerâ€™s discount is
Choices:
Rs.840
Rs.1020
Rs.680
None
Answer: C
Question: A man can row upstream at 25 kmph and downstream at 35 kmph, and then find the speed of the man in still water?
Choices:
27
30
288
291
Answer: B
Question: An entrepreneurship competition requires registering teams to have 3 team members, at least one of which must be a technology co-founder. If all team members must come from the auditorium during the meet and greet event which has 4 technologists and 9 businessmen, how many possible team submissions are possible?
Choices:
100
162
198
202
Answer: C
Question: If the cost price of 65 chocolates is equal to the selling price of 50 chocolates, the gain percent is :
Choices:
10%
20%
30%
33%
Answer: C
Question: A certain amount earns simple interest of Rs. 1750 after 7 years. Had the interest been 2% more, how much more interest would it have earned?
Choices:
2:9
2:3
2:2
2:1
Answer: B
Question: If 0 < Z < Y, Z is an odd number and Y is a prime number, which of the following can be the value of Z + Y ?
Choices:
13.
17.
10.
15.
Answer: C
Question: on dividing a N by 9,remainder is 8. the quotient obtained when divided by 11,leaves remainder 9. now the quotient when divided by 13,leaves remainder 8. find the remainder when when the N is divided by 1287
Choices:
881
891
904
987
Answer: A
Question: If the current in a circuit equals 0 A, it is likely that the
Choices:
37
36
28
22
Answer: C
Question: I have a basket of 500 apples.
I want to divide them equally into 20 places.
How long will it take to divide if for each 25 apples counted i spent 5 minutes ?
Choices:
100
60
5
20
Answer: A
Question: The number of permutations of the letters of the word 'MESMERISE' ?
Choices:
9!/(2!)2 3!
9!/(2!)2 6!
9!/(9!)2 3!
9!/(2!)3 3!
Answer: A
Question: A carton contains 25 bulbs, 8 of which are defective. What is the probability that if a sample of 4 bulbs is chosen, exactly 2 of them will be defective ?
Choices:
(4C2) x (8/25) x (7/24) x (17/23) x (16/22)
(8/26) x (8/24) x (17/33) x (16/22)
None of these
Cannot be determined
Answer: A
Question: How many times in a day, the hands of a clock are shows opposite directions ?
Choices:
20
21
23
22
Answer: D
Question: If 2994 Ã· 14.5 = 171, then 29.94 Ã· 1.45 = ?
Choices:
17.1
17.5
17.7
17.2
Answer: A
Question: Solve(0.76 × 0.76 × 0.76 − 0.008)/(0.76 × 0.76 + 0.76 × 0.2 + 0.04)
Choices:
0.56
0.45
0.67
0.71
Answer: A
Question: The perimeter of a rectangular yard is completely surrounded by a fence that measures 36 meters. What is the length of the yard if the area of the yard is 40 meters squared?
Choices:
10
8
14
16
Answer: B
Question: A train 110 m long is running with a speed of 56 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:
6.4
7
8
9
Answer: A
Question: If A : B= 1 : 4 and B : C = 2 : 3, then A : B : C is:
Choices:
8:6:9
2:5:7
6:4:7
2:8:12
Answer: D
Question: A person starting with Rs.64 and making 6 bets, wins three times and loses 3times, the wins and loses occurring in random order. The chance for a win is equal to the chance for a loss. If each wager is for half the money remaining at the time of the bet, then the final result is?
Choices:
Rs.37
Rs.45
Rs.47
Rs.50
Answer: A
Question: If 2ab - 5c = 2a(b - c), which of the following must be true?
Choices:
a=1/2 and b=2
b=1 and c=0
a=1 or b=0
a=5/2 or c=0
Answer: D
Question: The C.P of 15 books is equal to the S.P of 18 books. Find his gain% or loss%?
Choices:
16 2/3% loss
18 2/3% loss
16 2/9% loss
26 2/3% loss
Answer: A
Question: A woman buys two articles for Rs.1980 each and he gains 10% on the first and loses 10% on the next. Find his total gain or loss percent?
Choices:
1%
-1%
-10%
11%
Answer: A
Question: If 2/a + 3/a + 7/a is an integer, which of the following must also be an integer?
Choices:
12/a
6/a
9/a
15/a
Answer: A
Question: The average of 30 results is 20 and the average of other 20 results is 30 . what is the average of all the results?
Choices:
24
48
50
None
Answer: A
Question: What will come in place of the x in the following Number series? 2, 7, 10, 22, 18, 37, 26, x
Choices:
32
35
42
52
Answer: D
Question: Fresh dates contain 90% water while dry dates contain 28% water . How many kg of dry dates can be obtained from 36kg of fresh dates ?
Choices:
5Kg
12 Kg
16Kg
26Kg
Answer: A
Question: Can you find the smallest non fractional number such that
If the number gets divided by 13 , we get the remainder of 1;
If the number gets divided by 14 , we get the remainder of 2
If the number gets divided by 15 , we get the remainder of 3;
If the number gets divided by 16 , we get the remainder of 4.
Choices:
30238
58020
44141
72033
Answer: A
Question: The difference between the place values of 7 and 3 in the number 527435 is
Choices:
5
45
6970
None
Answer: C
Question: In a group of 160 people, 90 have an age of more 30 years, and the others have an age of less than 20 years. If a person is selected at random from this group, what is the probability the person's age is less than 20?
Choices:
0.44
0.65
0.75
0.85
Answer: A
Question: Find the missing couple of letters in the following series:
AZ, GT, MN, ? , YB
Choices:
SM
SO
SH
SP
Answer: C
Question: The market value of a 10.5% stock, in which an income of Rs. 756 is derived by investing Rs. 7500, brokerage being 1/4%, is:
Choices:
103.92
114.75
124
124.75
Answer: A
Question: A man two flats for $675958 each. On one he gains 13% while on the other he loses 13%. How much does he gain or lose in the whole transaction?
Choices:
1.69%
3.12%
4.65%
5.12%
Answer: A
Question: Calculate the HCF of 69, 561, 963
Choices:
5
22
3
1
Answer: C
Question: A group of n students can be divided into equal groups of 4 with 1 student left over or equal groups of 5 with 1 students left over. What is the sum of the two smallest possible values of n?
Choices:
62
49
53
86
Answer: A
Question: The arithmetic mean of the 7 consecutive integers starting with 's' is 'a'. What is the arithmetic mean of 9 consecutive integers that start with s + 3?
Choices:
22 + a
2s
2a + 2
3 + a
Answer: D
Question: A pupil's marks were wrongly entered as 73 instead of 65. Due to the average marks for the class got increased by half. The number of pupils in the class is?
Choices:
82
16
27
29
Answer: B
Question: Tammy climbed a mountain in two days. She spent a total of 14 hours climbing the mountain. On the second day, she walked at an average speed that was half a kilometer per hour faster, but 2 hours less than what she walked on the first day. If the total distance she climbed during the two days is 52 kilometers, how many R kilometers per hour did Tammy walk on the second day?
Choices:
3.5
4
4.5
6
Answer: B
Question: The three sides of an acute angled triangle (all in cms) are 12, 19 and h. How many integer values can h take?
Choices:
22
15
8
7
Answer: C
Question: A boat takes 3 hours to travel from place M to N down stream and back from N to M upstream. If the speed of the boat instill water is 4 km/hr, what is the distance between the two places?
Choices:
12 km
6 km
Data inadequate
None of these
Answer: C
Question: The average speed of a car is 1 4/5 times the avg speed of a bike. A tractor covers 575km in 23hrs. How much distance will the car cover in 4hrs if the speed of the bike is twice speed of the tractor?
Choices:
320 km
360 km
420 km
460 km
Answer: B
Question: The present ratio of students to teachers at a certain school is 30 to 1. If the student enrollment were to increase by 50 students and the number of teachers were to increase by 5, the ratio of students to teachers would then be 25 to 1. What is the present number of teachers?
Choices:
8
10
12
15
Answer: D
Question: A alone can finish a work in 10 days which B alone can finish in 15 days. If they work together and finish it, then out of a total wages of Rs.3300, A will get:
Choices:
Rs.1500
Rs. 1980
Rs.2000
None of these
Answer: B
Question: Youseff lives x blocks from his office. It takes him 1 minute per block to walk to work and 20 seconds per block to ride his bike to work. It is takes him exactly 12 minutes more to walk to work than to ride his bike to work, then x equals?
Choices:
7
10
15
18
Answer: D
Question: Find the missing figures: 0.75% of ? = 0.06
Choices:
6
8
10
12
Answer: B
Question: How many seconds will a 500 meter 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
30 sec
40 sec
50 sec
Answer: B
Question: Two clocks begin to strike 12 together. One strikes in 33 seconds and the other in 22 secs. What is the interval between the 6th
stroke of the first and the 8th
stroke of the second?
Choices:
11 secs
10 secs
13 secs
14 secs
Answer: A
Question: A courier charges for packages to a certain destination are 65 cents for the first 250 grams and 10 cents for each additional 100 grams or part thereof. What could be the weight in grams of a package for which the charge is $1.85?
Choices:
1420
1120
970
740
Answer: A
Question: The sector of a circle has radius of 35 cm and central angle 135o. Find its perimeter?
Choices:
92.2 cm
152.5 cm
29.2 cm
98.2 cm
Answer: B
Question: The ratio of the ages of Mini and Minakshi is 4 : 3. The sum of their ages is 28 years. The ratio of their ages after 5 years will be
Choices:
22 : 17
5 : 4
4 : 5
8 : 11
Answer: A
Question: If x = |-x| , then which one of the following statements could be true?
I. x = 0
II. x < 0
III. x > 0
Choices:
I only
C) III only
I and II
I and II and III
Answer: D
Question: Today Katherine, who is 40 years old, and her daughter, who is 10 years old, celebrate their birthdays. How many years will pass before Katherine’s age is twice her daughter’s age?
Choices:
20
23
24
25
Answer: A
Question: A Coach is filling out the starting lineup for his indoor soccer team. There are 10 boys on the team, and he must assign 6 starters to the following positions: 1 goalkeeper, 2 on defence, 2 in midfield, and 1 forward. Only 2 of the boys can play goalkeeper, and they cannot play any other positions. The other boys can each play any of the other positions. How many different groupings are possible?
Choices:
210
2580
3360
151200
Answer: C
Question: In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?
Choices:
6
6.5
7
7.5
Answer: A
Question: A can do a piece of work in 4 days. B can do it in 5 days. With the assistance of C they completed the work in 2 days. Find in how many days can C alone do it?
Choices:
20 days
67 days
17 days
18 days
Answer: A
Question: The ratio of investments of two partners A and B is 7:5 and the ratio of their profits is 7:10. If A invested the money for 5 months, find for how much time did B invest the money ?
Choices:
11 months
16 months
10 months
12 months
Answer: C
Question: Ramu bought an old car for Rs. 42000. He spent Rs. 15000 on repairs and sold it for Rs. 64900. What is his profit percent?
Choices:
13.8
18
99
88
Answer: A
Question: Two pipes A and B can separately fill a tank in 8 and 10 minutes respectively. A third pipe C can drain off 15 liters of water per minute. If all the pipes are opened, the tank can be filled in 10 minutes. What is the capacity of the tank?
Choices:
160 liters
740 liters
560 liters
120 liters
Answer: D
Question: John want to buy a $100 Trouser at the store, but he think it’s too expensive. Finally, it goes on sale for $60. What is the percent decrease?
Choices:
30%
40%
50%
60%
Answer: B
Question: A number when divided by 221 gives a remainder 43, what remainder will be obtained by dividing the same number 17?
Choices:
6
9
2
3
Answer: B
Question: The sum of 3 hours 45 minutes and 2 hours 55 minutes is approximately what percent of a day?
Choices:
16%
24%
28%
72%
Answer: C
Question: Current ages of Rahim and Thomas are in the ratio of 5 : 4 correspondingly. 0.3 decades hence, the ratio of their ages will become 11 : 9 correspondingly, What is Thomas’s current age in years?
Choices:
24 years
34 years
64 years
84 years
Answer: A
Question: Three years ago the average age of a class of six members was 21 years. A boy have been added, the average age of the class is the same today. What is the age of the boy?
Choices:
B)2
C)3
D)4
E)5
Answer: B
Question: A number of 55 marbles is to be divided and contain with boxes. If each box is to contain 3, 4, or 5 marbles, what is the largest possible number of boxes?
Choices:
12
15
16
19
Answer: D
Question: The average runs scored by a batsman in 20 matches is 40. In the next 30 matches the batsman scored an average of 20 runs. Find his average in all the 50 matches?
Choices:
46
28
13
12
Answer: B
Question: What is the least value of p, so that 123p578 is divisible by 11
Choices:
8
6
5
4
Answer: A
Question: A firm has 4 senior partners and 6 junior partners. How many different groups F of 3 partners can be formed in which at least one member of the group is a senior partner. (2 groups are considered different if at least one group member is different)
Choices:
100
120
288
600
Answer: A
Question: In how many ways can you sit 6 people on a bench if 3 of them must sit together?
Choices:
144
400
320
420
Answer: A
Question: A train 300 m long can cross an electric pole in 20 sec and then find the speed of the train?
Choices:
67
54
26
27
Answer: B
Question: By selling an article at Rs.600, a profit of 25% is made. Find its cost price?
Choices:
267
287
480
811
Answer: C
Question: A 100-litre mixture of milk and water contains 36 litres of milk. 'x' litres of this mixture is removed and replaced with an equal quantum of water. If the process is repeated once, then the concentration of the milk stands reduced at 25%. What is the value of x?
Choices:
16.67 litres
17.67 litres
16.5 litres
16 litres
Answer: A
Question: he difference between the compound and simple interest on a certain sum for 2 years at the rate of 8% per annum is Rs.80,What is the sum?
Choices:
27789
27889
12,500
27081
Answer: C
Question: If three numbers are added in pairs, the sums equal 10,19 and 21. Find the numbers?
Choices:
6, 4, 15
2, 4, 8
15, 20, 25
None
Answer: A
Question: Two kinds of Vodka are mixed in the ratio 1:2 and 2:1 and they are sold fetching the profit 10% and 20% respectively. If the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4/3 and 5/3 times respectively, then the mixture will fetch the profit of
Choices:
20%
21%
23%
Cannot be determined
Answer: A
Question: A certain list consists of 21 different numbers. If n is in the list and n is 4 times the average (arithmetic mean) of the other 20 numbers in the list, then n is what fraction of the sum of the 21 numbers in the list?
Choices:
1/6
1/5
4/21
5/21
Answer: A
Question: Calculate the time it will take for a train that is 220 meter long to pass a bridge of 120 meter length, if the speed of the train is Ckm/hour ?
Choices:
16.32 seconds
13.32 seconds
15.32 seconds
17.32 seconds
Answer: A
Question: A team of eight entered for a shooting competition. The best marks man scored 82 points. If he had scored 92 points, the average scores for. The team would have been 83. How many points altogether did the team score?
Choices:
672
654
642
721
Answer: B
Question: An aeroplane covers a certain distance of 530 Kmph in 5 hours. to cover the same distance in 3 2/3 hours, it Must travel at a speed of
Choices:
540
640
722
250
Answer: C
Question: 10 play kabadi, 15 play kho kho only, 5 play both gmaes. Then how many in total?
Choices:
25
38
40
45
Answer: A
Question: A train 100 meters long completely crosses a 300 meters long bridge in 24 seconds. What is the speed of the train is?
Choices:
60 kmph
34 kmph
43 kmph
40 kmph
Answer: A
Question: The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is:
Choices:
94
184
364
286
Answer: C
Question: Tom and Jerry are running on the same road towards each other. If Tom is running at a speed of 2.5 meters per second and Jerry is running 36% slower, how much time R will it take them to meet if the initial distance between the two is 50 meters and Tom started running 20 seconds before Jerry did?
Choices:
two minutes.
44 seconds.
20 seconds.
12 seconds.
Answer: C
Question: In a bag, there are four 6-sided dice (numbered 1 to 6), three 12-sided dice (numbered 1 to 12), and two 20-sided dice (numbered 1 to 20). If four of these dice are selected at random from the bag, and then the four are rolled and we find the sum of numbers showing on the four dice, how many different possible totals are there for this sum?
Choices:
61
424
840
960
Answer: A
Question: If a motorist had driven 1 hour longer on a certain day and at an average rate of 5 miles per hour faster, he would have covered 70 more miles than he actually did. How many more miles would he have covered than he actually did if he had driven 1 hours longer and at an average rate of 10 miles per hour faster on that day?
Choices:
120
130
150
160
Answer: B
Question: The average marks of a class of 20 students is 40 and that of another class of 50 students is 60. Find the average marks of all the students?
Choices:
54.28
34.28
64.28
74.28
Answer: A
Question: The value of x + x(xx) when x = 2 is
Choices:
2
8
10
9
Answer: C
Question: 897.7 – 573.07 – 95.007 = ?
Choices:
229.623
233.523
414.637
None of these
Answer: A
Question: A man can swim in still water at 6 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
Choices:
2
1.2
1.5
1.1
Answer: A
Question: The average of 9 results is 50. The average of first four results is 52 and average of last four results is 49 . what is the fifth result?
Choices:
46
26
11
99
Answer: A
Question: Find the value of 5 + 2 â€¢ (8 â€“ 3)
Choices:
13
17
24
15
Answer: D
Question: .3+33+333+3.33=?
Choices:
369.63
702.33
702
None of them
Answer: A
Question: An industrial loom weaves 0.128 metres of cloth every second. Approximately, how many seconds will it take for the loom to weave 25 metres of cloth?
Choices:
204
195
178
133
Answer: B
Question: Walking 5/4 of his usual rate, a boy reaches his school 4 min early. Find his usual time to reach the school?
Choices:
99
27
28
20
Answer: D
Question: Find the odd man out. 1050, 510, 242, 106, 46, 16, 3
Choices:
106
510
1050
None of these
Answer: A
Question: If (200)(900) = (180)(10^x), what is the value of x?
Choices:
4
3
2
1
Answer: B
Question: A man can row upstream at 15 kmph and downstream at 35 kmph, and then find the speed of the man in still water?
Choices:
86
30
78
25
Answer: D
Question: Of the mutual funds on a “select list,” 1/3 have 5-star ratings, and 1/3 of the remaining funds have 4-star ratings. If the remaining 300 funds on the list have 3-star ratings, how many funds are on the list?
Choices:
750
1,000
1,200
900
Answer: D
Question: What is the sum of all the multiples of 10 between 0 and 99?
Choices:
620
450
340
440
Answer: B
Question: Mohan purchased 15 kgs of rice at the rate of Rs.26 per kg and 15 kgs of pulses at the rate of Rs.26 per kg. Whaat is the total amount that he paid to the shopkeeper?
Choices:
A)Rs.780
C)Rs.700
D)Rs.595
None of these
Answer: A
Question: Jim and Renee will play one game of Rock, Paper, Scissors. In this game, each will select and show a hand sign for one of the three items. Rock beats Scissors, Scissors beat Paper, and Paper beats Rock. Assuming that both Jim and Renee have an equal chance of choosing any one of the hand signs, what is the probability of a tie?
Choices:
2/3
1/2
5/12
3/9
Answer: D
Question: If 5^21 x 8^7 = 10^n what is the value of n?
Choices:
24
21
28
20
Answer: B
Question: The difference between two integers is 5. Their product is 500. Find the numbers.
Choices:
20, 25
30, 25
21, 26
none
Answer: A
Question: The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 10 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each?
Choices:
s.9060
s.4527
s.4530
s.4521
Answer: A
Question: A train 280 m long, running with a speed of 63 km/hr will pass a tree in?
Choices:
16 sec
87 sec
99 sec
96 sec
Answer: A
Question: What is the difference between the place value of 2 in the numeral 7229?
Choices:
160
180
190
210
Answer: B
Question: The total of 324 of 20 paise and 25 paise make a sum of Rs. 71. The no of 20 paise coins is :
Choices:
100
150
200
250
Answer: C
Question: Solve the equation for x : 21(x + y) + 5 = 21(-x + y) + 47
Choices:
-1
0
2
1
Answer: D
Question: A sum of money becomes 7/6 of itself in 4 years at a certain rate of simple interest. The rate per annum is?
Choices:
25/6
5 5/2
5 5/8
5 5/1
Answer: A
Question: A technology company made a $5 million profit on its first $15 million in sales and a $12 million profit on its next $30 million in sales. By what percent did the ratio of profit to sales increase from the first $15 million in sales to the next $30 million in sales?
Choices:
20%
30%
40%
50%
Answer: A
Question: J is 25% less than P and 20% less than T. T is e% less than P. What is the value of e?
Choices:
90
6.75
6.25
2
Answer: C
Question: A boy has nine trousers and 12 shirts. In how many different ways can he select a trouser and a shirt?
Choices:
12
9
108
101
Answer: C
Question: The smallest number when increased by " 1 " is exactly divisible by 12, 18, 24, 32 and 40 is:
Choices:
1439
1440
1450
1448
Answer: A
Question: A clock is started at noon. By 10 minutes past 3, the hour hand has turned through how many degrees?
Choices:
95Â°
105Â°
110Â°
115Â°
Answer: A
Question: A started a business with an investment of Rs. 70000 and after 6 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 52000, then the share of B is?
Choices:
24000
23877
23789
28222
Answer: A
Question: The average Weight of 15 students in a class is increased by 3 Kg. when a student who weights 48 Kg. is replaced by a new student. Find the weight of new student?
Choices:
83
88
93
97
Answer: C
Question: A dog takes 5 leaps for every 7 leaps of a hare. If one leap of the dog is equal to 3 leaps of the hare, the ratio of the speed of the dog to that of the hare is :
Choices:
15 : 7
20 : 7
7 :15
14 : 7
Answer: A
Question: In an examination, 35% candidates failed in one subject and 40% failed in another subject while 15% failed in both the subjects. If 2500 candidates appeared at the end of the examination how many passed in either subject but not in both?
Choices:
1020
1175
1243
1125
Answer: D
Question: If a positive integer n has 211 factors,then how many prime factors does n have?
Choices:
2
cannot be determined
4
1
Answer: D
Question: How many cubes of 10 cm edge can be put in a cubical box of 1 m edge.
Choices:
1000 cubes
100 cubes
50 cubes
70 cubes
Answer: A
Question: A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place?
Choices:
2.88
2.89
2.83
2.81
Answer: A
Question: Stuart bought a sweater on sale for 30% off the original price and another 25% off the discounted price. If the original price of the sweater was $30, what was the final price of the sweater?
Choices:
$18.67
$19.00
$12.76
$15.75
Answer: D
Question: workers in a notebook factory stores the notebooks in two different sized boxes. the bigger box contains 18 notebooks while the smaller box contains 10 notebooks. If the workers were to store 89 notebooks in total, what is the least number of notebook that will remain unboxed?
Choices:
14
12
17
11
Answer: C
Question: In what time will a train 320 m long cross an electric pole, it its speed be 144 km/hr?
Choices:
8.0 sec
3.5 sec
2.9 sec
9.5 sec
Answer: A
Question: Three small cruise ships, each carrying 5 passengers, will dock tomorrow. One ship will dock at Port A, another at Port B, and the third at Port C. At Port A, two passengers will be selected at random and each winner will receive one gift certificate worth $50. At Port B, one passenger will be selected at random to receive a gift certificate worth $35, and at Port C, one passenger will be selected at random to receive a gift certificate worth $25. How many different ways can the gift certificates be given out?
Choices:
1200
1300
1400
1500
Answer: D
Question: A grandpa called all his grandsons and decided to give them a total of $100 to spend in their vacations. He decided that the elder ones must receive more. So he planned to give a sum to the youngest one and then increase $2 with every elder one.
Can you calculate how much he gave to the youngest one if he gave all and only $100 to them in total?
Choices:
$15
$21
$16
$22
Answer: C
Question: 7, 10, 8, 11, 9, 12, ?
Choices:
8
11
10
15
Answer: C
Question: Two cyclists start from the same place to ride in the same direction. A starts at noon at 8 kmph and B at 1.30 pm at 10 kmph. How far will A have ridden before he is over taken by B ?Find also at what times A and B will be 5 km apart.
Choices:
5pm and 10pm
4pm and 8 pm
5pm and 8 pm
None of these
Answer: A
Question: A train crosses a platform of 120 m in 15 sec, same train crosses another platform of length 180 m in 18 sec. then find the length of the train?
Choices:
180m
272m
278m
267m
Answer: A
Question: If w/x = 1/6 and w/y = 1/5, then (x + y)/y =
Choices:
6/5
7/5
11/5
9/5
Answer: C
Question: If the number 517*324 is completely divisible by 5, then the smallest whole number in the place of * will be:
Choices:
3
2
4
5
Answer: A
Question: A boat having a length 4 m and breadth 2 m is floating on a lake. The boat sinks by 1cm when a man gets on it. The mass of the man is:
Choices:
60 kg
72 kg
80 kg
None of these
Answer: C
Question: Sonika deposited Rs.9000 which amounted to Rs.10200 after 3 years at simple interest. Had the interest been 2% more. She would get how much?
Choices:
2277
2999
10700
10740
Answer: D
Question: If the height of a cone is increased by 130% then its volume is increased by?
Choices:
777
998
729
130
Answer: D
Question: If 5* nP3 = 4* (n+1)P3, find n?
Choices:
11
12
14
None
Answer: C
Question: Each digit in the two-digit number G is halved to form a new two-digit number H. Which of the following numbers could be the sum of G and H?
Choices:
150
137
132
89
Answer: C
Question: The price of a T.V. set worth Rs. 20000 is to be paid in 20 installments of Rs. 1000 each. If the rate of interest be 6% per annum, and the first installment be paid at the time of purchase, then the value of the last installment covering the interest as well will be?
Choices:
28088
27098
19000
2799
Answer: C
Question: A merchant marks his goods up by 50% and then offers a discount of 10% on the marked price. What % profit does the merchant make after the discount?
Choices:
25%
69%
35%
19%
Answer: C
Question: In a certain school, the ratio of boys to girls is 5 to 13. If there are 160 more girls than boys, how many boys are there?
Choices:
100
45
72
117
Answer: A
Question: If p and q are both odd prime numbers andp < q, then how many different positive integer factors does2pqhave?
Choices:
4
6
8
12
Answer: C
Question: If a no. when divided by 44, gives 432 as quotient and 0 as remainder. What will be the remainder when dividing thesame no. by 31
Choices:
3
5
7
8
Answer: B
Question: If the cost price of 35 chocolates is equal to the selling price of 21 chocolates, the gain percent is :
Choices:
66.66 %
66 %
55%
66.33%
Answer: A
Question: A coin is tossed 6 times. What is the probability that the number of Heads is equal to the number of Tails?
Choices:
5/16
7/16
5/12
6/17
Answer: A
Question: A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that all the four bulbs are defective?
Choices:
1/129
1/121
1/128
1/126
Answer: D
Question: (1000)7÷(10)19=?
Choices:
100
1000
10000
None of these
Answer: A
Question: In a class of 30 students in an examination in maths 3 students scored 95 marks each, 3 get zero each and the average of the rest was 45. What is the average of the whole class?
Choices:
B)45.6
C)44
D)48.5
E)49
Answer: C
Question: A certain auto manufacturer sold 4% fewer vehicles in 2007 than in 2006. If the manufacturer sold 2.1 million vehicles in 2006, how many vehicles, to the nearest 10,000, did the manufacturer sell in 2007?
Choices:
2,000,000
2,020,000
2,040,000
2,300,000
Answer: B
Question: Suppose that f(x) is a function such that for every real number x,i)f(x)+f(1-x) = 11 and (ii) f(1+x) = 3+f(x). Then f(x)+f(-x)
must equal
Choices:
8
10
11
12
Answer: A
Question: In the xy-plane, a triangle has vertices (0,0), (4,0) and (4,9). If a point (a,b) is selected at random from the triangular region, What is the probability that a-b>0?
Choices:
1/3
1/2
2/9
4/5
Answer: C
Question: The average of 10 numbers is calculated as 15. It is discovered later on that while calculating the average, one number namely 36 was wrongly read as 26. The correct average is?
Choices:
12
16
18
20
Answer: B
Question: In a group of 6 boys and 4 girls, four children are to be selected. In how many ways can they selected that at least one boy should be there?
Choices:
194
205
209
140
Answer: C
Question: If 3 people can do 3 times of a particular work in 3 days, then how many days would it take 5 people to do 5 times of that particular work?
Choices:
2
3
5
8
Answer: B
Question: A certain quantity of 80% solution is replaced with 25% solution such that the new concentration is 35%. What is the fraction of the solution that was replaced?
Choices:
1/3
1/2
2/3
9/11
Answer: D
Question: In the faculty of Reverse-Engineering, 300 second year students study numeric methods, 600 second year students study automatic control of airborne vehicles and 200 second year students study them both. How many students are there in the faculty if the second year students are approximately 70% of the total?
Choices:
800
900
950
1000
Answer: D
Question: Length of a rectangular plot is 40 mtr more than its breadth. If the cost of fencin g the plot at 26.50 per meter is Rs. 5300, what is the length of the plot in mtr?
Choices:
60 m
58 m
70 m
80 m
Answer: C
Question: Which of the following is the lowest positive integer that is divisible by the first 6 positive integer multiples of 3?
Choices:
100
120
150
180
Answer: D
Question: Darla decides to mix lemonade with limeade to make a new drink called citrusade. The lemonade is 50% water, 30% lemon juice, and 20% sugar. The limeade is 40% water, 28% lime juice, and 32% sugar. If the citrusade is more than 45% water and more than 24% sugar, which of the following could be the ratio of lemonade to limeade?
Choices:
7 : 3
3 : 2
4 : 5
3 : 4
Answer: B
Question: 9.99 x 9.9 x 9 ÷ 9.9 ÷ 0.3 = ?
Choices:
299
310
3.33
365
Answer: C
Question: A person can row at 9 kmph and still water. He takes 4 1/2 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 1 kmph?
Choices:
27
29
24
20
Answer: D
Question: The sum of digits of a two digit number is 13,The difference between the digits is 5. Find the number
Choices:
94
83
72
None
Answer: A
Question: Which number is the odd one out?
159
248
840
357
591
582
Choices:
240
840
360
160
Answer: B
Question: Find the number of square tiles to cover the floor of a room measuring 4 m * 9 m leaving 0.25 m space around the room. A side of square tile is given to be 25 cms?
Choices:
476
268
208
276
Answer: A
Question: Two trains started at the same time, one from A to B and the other from B to A . If they arrived at B and A respectively 4 hours and 9 hours after they passed each other the ratio of the speeds of the two trains was
Choices:
3:2
4:3
5:4
1:2
Answer: A
Question: At present, the ratio between the ages of Arun and Deepak is 4:8. After 6 years, Arun's age will be 26 years. What is the age of Deepak at present?
Choices:
15 years
18 years
40 years
19 years
Answer: C
Question: A new sales clerk in a department store has been assigned to mark sale items with red tags, and she has marked 30% of the store items for sale. However, 20% of the items that are supposed to be marked with their regular prices are now marked for sale, and 55% of the items that are supposed to be marked for sale are marked with regular prices. What percent of the items that are marked for sale are supposed to be marked with regular prices?
Choices:
35%
40%
45%
50%
Answer: B
Question: A, B, C subscribe Rs. 50,000 for a business. If A subscribes Rs. 4000 more than B and B Rs. 5000 more than C, out of a total profit of Rs. 38,000, what will be the amount A receives?
Choices:
15960
14900
14300
14000
Answer: A
Question: Ms.James invested in Fund T and Fund B. The total amount she invested, in both funds combined, was $100,000. In one year, Fund T paid 23% and Fund B paid 17%. The interest earned in Fund B was exactly $200 greater than the interest earned in Fund T. How much did Ms. Morris invest in Fund T?
Choices:
$36,000
$40,000
$42,000
$45,000
Answer: C
Question: What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 16%?
Choices:
26%
13 1/30%
12%
13%
Answer: A
Question: In a partnership between A, B and C. A's capital is Rs.5000. If his share of a profit of Rs.800 is Rs.200 and C's share is Rs.130, what is B's capital?
Choices:
Rs.6250
Rs.10250
Rs.11750
Rs.12750
Answer: C
Question: The average age of husband, wife and their child 3 years ago was 33 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is
Choices:
40 years
50 years
58 years
None
Answer: C
Question: A sum of Rs. 2900 amounts to Rs. 3422 in 3 years. Had the rate of interest be 2% higher then what would the sum amount in the same time period?
Choices:
Rs. 3683
Rs. 3596
Data inadequate
None of these
Answer: B
Question: J is faster than P. J and P each walk 24 km. Sum of the speeds of J and P is 7 kmph. Sum of time taken by them is 14 hours. Then J speed is equal to
Choices:
14
6
8
16
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 140 of the workers of that company are men, how many of the workers are women?
Choices:
85
105
120
210
Answer: A
Question: An aptitude test contains 4 questions from verbal reasoning, 5 questions from simple mathematics and 6 questions testing knowledge of English. Three questions are selected at random from the list of questions. The probability that all of them are from simple mathematics section, is:
Choices:
2/91
3/22
2/77
None of these
Answer: A
Question: In a group of 100 cars, 49 cars do not have air conditioning. If at least 51 cars have racing stripes, what is the greatest number of cars that could have air conditioning but not racing stripes?
Choices:
49
48
51
53
Answer: A
Question: A train moves past a telegraph post and a bridge 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train ?
Choices:
70 km/hr
79 km/hr
79.2 km/hr
79.5 km/hr
Answer: C
Question: 765 chairs are to be arranged in a column in such a way that the number of chairs in each column should be equal to the columns. How many chairs will be excluded to make this arrangement possible?
Choices:
36
19
27
None of these
Answer: A
Question: A certain car traveled twice as many miles from Town A to Town B as it did from Town B to Town C. From Town A to Town B, the car averaged 20 miles per gallon, and from Town B to Town C, the car averaged 25 miles per gallon. What is the average miles per gallon that the car achieved on its trip from Town A through Town B to Town C?
Choices:
18
21.4
16
10
Answer: B
Question: A can do a piece of work in 7 days of 9 hours each and B can do it in 6 days of 7 bours each. How long will they take to do it, working together 8 hours a day?
Choices:
2 days
7 days
1 day
3 days
Answer: D
Question: In a party there are 5 couples. Out of them 5 people are chosen at random. Find the probability that there are at the least two couples?
Choices:
5/21
5/29
9/21
5/61
Answer: A
Question: In what time will a train 100 meters long cross an electric pole, if its speed is 144 km/hr
Choices:
4.5 seconds
3 seconds
2.5 seconds
None of these
Answer: C
Question: Find the odd man out. 3576, 1784, 888, 440, 216, 105, 48
Choices:
888
216
105
48
Answer: C
Question: In how many different ways can 3 identical gold shirts and 3 identical sliver shirts be distributed among 6 children such that each child receives a shirt?
Choices:
400
20
96416
62
Answer: B
Question: If 5^z is a factor of 160!, which of the following could be the value of z?
Choices:
32
51
39
60
Answer: C
Question: In the xy-plane, the line y = k is the perpendicular bisector of the line segment PQ and the line x = h is the perpendicular bisector of the line segment RQ. If the coordinates of the point R are (-h, -k), then what are the coordinates of the point P?
Choices:
(-3h, -3k)
(2h, 2k)
(3h, 3k)
(5h, 5k)
Answer: C
Question: Two cars A and B start from Boston and New York respectively simultaneously and travel towards each other at constant speeds along the same route. After meeting at a point between Boston and New York the two cars A and B proceed to their respective destinations of New York and Boston. Car A reaches New York 20 minutes after the two cars have met and Car B reaches Boston 90 minutes after they have met. How long did Car A take to cover the distance between Boston and New York?
Choices:
1 hour 10 minutes
2 hours 30 minutes
1 hour 20 minutes
2 hours 10 minutes
Answer: C
Question: A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
Choices:
240
77
26
22
Answer: A
Question: A owner of a mart earns an income of Re 1 on the first day of his business. On every subsequent day, he earns an income which is just double of that made on the previous day. On the 10th day of business, he earns an income of:
Choices:
18
22
20
30
Answer: A
Question: What is the value of âˆš64% ?
Choices:
80%
40%
90%
26%
Answer: A
Question: Three hundred multiples of seven are chosen at random, and 300 multiples of eight are chosen at random. Approximately what percentage of the 600 selected numbers are odd?
Choices:
36.67%
25%
46.67%
56.67%
Answer: B
Question: The calendar of the year 2080 can be used again in the year?
Choices:
1955
1945
1935
2108
Answer: D
Question: The ratio of three numbers is 1:2:4 and the sum of their squares is 1701. The sum of the numbers is?
Choices:
B)12
C)15
D)14
E)9
Answer: D
Question: What is the remainder when the number Y=14^2 * 15^8 is divided by 5?
Choices:
0
2
4
5
Answer: A
Question: The number of six digit numbers that can be formed from the digits 1, 2, 3, 4, 5, 6 and 7 so that digits do not repeat and the terminal digits are even is
Choices:
72
288
720
None of these
Answer: C
Question: If x is 20 percent greater than 40, then x =
Choices:
48
86
105.6
108
Answer: A
Question: If the perimeter of a rectangular house is 1400 m, its length when its breadth is 300 m is?
Choices:
400
500
600
700
Answer: A
Question: There are 6 boxes numbered 1, 2,…,.6. Each box is to be filled up either with a red or a green ball in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered. The total number of ways in which this can be done is
Choices:
21
45
27
25
Answer: A
Question: A circular logo is enlarged to fit the lid of a jar. The new diameter is 30 per cent larger than the original. By what percentage has the area of the logo increased?
Choices:
80
69
125
250
Answer: B
Question: In Town X, 64 percent of the population are employed, and 35 percent of the population are employed males. What percent of the employed people in Town X are females?
Choices:
25%
32%
45%
52%
Answer: C
Question: A train 60 m long is running with a speed of 54 km per hour. In what time will it pass a telegraph post?
Choices:
10 s
7 s
4 s
None of these
Answer: C
Question: Four different objects 1,2,3,4 are distributed at random in four places marked 1,2,3,4. What is probability that none of the objects occupy the place corresponding to it's number?
Choices:
3/8
1/2
5/8
1/3
Answer: A
Question: A train 110 m long is running with a speed of 90 km/h. In how many seconds will the train pass a man who is running at 9 km/h in the direction opposite to that in which the train is going?
Choices:
4
5
6
7
Answer: A
Question: The letters C,K,L and U are rearranged to form the word 'Luck'. Find its probability.
Choices:
1/235
1/24
1/76
1/53
Answer: B
Question: Car A leaves the airport at 8:00 am and travels at a constant rate of 40 km per hour. Car B leaves the airport at 8:15 am and travels in the same direction along the same highway at a constant rate of 46 km per hour. At what time will Car B be 11 km ahead of Car A?
Choices:
11:00 am
11:15 am
11:45 am
12:15 pm
Answer: C
Question: One skirt requires 3.75 yards of cloth. How many skirts you can make from 45 yards
Choices:
10 skirts
11 skirts
12 skirts
13 skirts
Answer: C
Question: Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?
Choices:
2 : 3 : 4
6 : 8 : 9
7 : 8 : 9
None of these
Answer: A
Question: The average ages of three persons is 27 years. Their ages are in the proportion of 1:3:5. What is the age in years of the youngest one among them ?
Choices:
77
55
09
41
Answer: C
Question: The largest number of six digits
Choices:
222222
333333
888888
999999
Answer: D
Question: If the cost price is 94% of sp then what is the profit %
Choices:
6%
5.7%
6.50%
6.25%
Answer: D
Question: The average of five numbers is 100. If one number is excluded, the average becomes 110. The excluded number is?
Choices:
6
58
60
96
Answer: C
Question: If the average (arithmetic mean) of 5b,6b+4,7b,8b-4 and 2b is 140, what is the value of b?
Choices:
22
25
30
48
Answer: B
Question: A, B and C are partners in a business. Their capitals are respectively, Rs.5000, Rs.6000 and Rs.4000. A gets 30% of the total profit for managing the business. The remaining profit is divided among three in the ratio of their capitals. In the end of the year, the profit of A is Rs.200 more than the sum of the profits of B and C. Find the total profit?
Choices:
277
29889
3000
22341
Answer: C
Question: A perfect square is defined as the square of an integer and a perfect cube is defined as the cube of an integer. How many positive integers n are there such that n is less than 5,000 and at the same time n is a perfect square and a perfect cube?
Choices:
3
4
5
6
Answer: B
Question: Today John, who is 38 years old, and his daughter, who is 13 years old, celebrate their birthdays. How many years will pass before John’s age is twice his daughter’s age?
Choices:
14
15
16
12
Answer: D
Question: If n is an integer and 101n^2 is less than or equal to 12100, what is the greatest possible value of n?
Choices:
8
9
10
11
Answer: C
Question: The perimeter of a rectangular yard is completely surrounded by a fence that measures 14 meters. What is the length of the yard if the area of the yard is 6 meters squared?
Choices:
6
2
4
3
Answer: A
Question: A man can row his boat with the stream at 6 km/h and against the stream in 4 km/h. The man's rate is?
Choices:
9 kmph
2 kmph
4 kmph
1 kmph
Answer: D
Question: Set X consists of all two-digit primes and set Y consists of all positive odd multiples of 7 less than 100. If the two sets are combined into one, what will be the range of the new set?
Choices:
89
90
92
95
Answer: B
Question: 75 apples on a scale weigh 18.035 kg. When 5 apples are removed from the scale, the average weight of the 70 apples is 240 grams. What is the average weight (in grams) of the 5 apples which were removed?
Choices:
243
245
247
249
Answer: C
Question: The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero ?
Choices:
0
-1
-2
2
Answer: A
Question: The speed of a boat in upstream is 40 kmph and the speed of the boat downstream is 100 kmph. Find the speed of the boat in still water and the speed of the stream?
Choices:
17 kmph
30 kmph
17 kmph
29 kmph
Answer: B
Question: The denominator of a fraction is 3 less than twice the numerator. If the numerator and denominator are both increased by 1, the fraction becomes 3/5. Find the fraction?
Choices:
B)13/19
C)4/7
D)11/19
of these
Answer: C
Question: A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is:
Choices:
698
654
847
976
Answer: B
Question: The average of first 13 natural numbers is?
Choices:
5.5
7
9
10
Answer: B
Question: Four of the five parts numbered (a), (b), (c), (d) and (e) are exactly equal. Which of the parts is not equal to the other four? The number of that part is the answer.
Choices:
120% of 1200
38 × 12 – 39 × 8
1648 – 938 – 566
6 1⁄2 of 140 – 2.5 × 306.4
Answer: A
Question: A starts business with a capital of Rs.1200 B and C join with some investments after 3 and 6 months respectively. If the end of a year, the profit is divided in the ratio 2:3:5 respectively. What is B's investment in the business?
Choices:
Rs654
Rs 400
Rs1500
Rs. 2400
Answer: D
Question: In what ratio should a variety of Rice costing Rs. 7 per kg be mixed with another variety of Rice costing Rs. 14.50 per kg to obtain a mixture costing Rs. 9.75 per kg?
Choices:
19 :11
11 :19
12 :18
11 :20
Answer: A
Question: The sum of two numbers is 84, and one of them is 12 more than the other. What are the two numbers?
Choices:
36-48
60-24
42-42
21-63
Answer: A
Question: In a group of buffaloes and ducks, the number of legs are 24 more than twice the number of heads. What is the number of buffaloes in the group?
Choices:
12
18
10
6
Answer: A
Question: AB + CD = WWW, where AB and CD are two-digit numbers and WWW is a three digit number; A, B, C, and D are distinct positive integers. In the addition problem above, what is the value of C?
Choices:
3
7
9
Cannot be determined
Answer: C
Question: A batsman makes a score of 87 runs in the 17th inning and thus increases his average by 4. Find his average after 17th inning.
Choices:
39
23
45
None of the above
Answer: B
Question: Sujit incurred a loss of 45% on selling an article for Rs.3520/-. What was the cost price of the article?
Choices:
Rs.5080/-
Rs.6400/-
Rs.6750/-
None of these
Answer: B
Question: What is the prime factors’ number of 12?
Choices:
3
4
5
6
Answer: A
Question: The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is
Choices:
152500 m^2
152600 m^2
152800 m^2
151000 m^2
Answer: D
Question: A sum of Rs.4300 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:
Rs.3120
Rs.3320
Rs.2795
None of these
Answer: C
Question: In a camp, there is a meal for 110 men or 200 children. If 140 children have taken the meal, how many men will be catered to with remaining meal?
Choices:
30
35
33
36
Answer: C
Question: The average weight of 45 students in a class is 52 kg. 5 of them whose average weight is 48 kg leave the class and other 5 students whose average weight is 54 kg join the class. What is the new average weight (in kg) of the class ?
Choices:
52 2⁄3
52 1⁄3
43.42
None of these
Answer: A