antoine-444/aqua_rat_dataset huggingface dataset:
Question: 50 men can complete a work in 65 days.Five days after started the work, 20 men left the group. In how many days can the remaining work be completed?
Choices:
140 days.
120 days.
100 days.
110 days.
Answer: C
Question: The odds in favour of an events are 3:5. The probability of occurrence of the event is
Choices:
3/8
1/3
2/5
6/7
Answer: A
Question: Two pipes A and B can fill a tank in 15 min and 20 min respectively. Both the pipes are opened together but after 4 min, pipe A is turned off. What is the total time required to fill the tank?
Choices:
14 min 60 sec
14 min 47 sec
14 min 40 sec
13 min 40 sec
Answer: C
Question: There are two boxes,one containing 39 red balls & the other containing 26 green balls.you are allowed to move the balls b/w the boxes so that when you choose a box random & a ball at random from the chosen box,the probability of getting a red ball is maximized.this maximum probability is
Choices:
0.8
0.5
0.7
0.2
Answer: A
Question: A train of 25 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.0 km long?
Choices:
2.5
5
7
9
Answer: A
Question: When positive integer W is divided by 6 the remainder is 3. Which of the following CANNOT be an even integer?
Choices:
b. k -11
c. 4k + 2
d. (k-3)/3 +2
e. W/3
Answer: D
Question: Find the amount on Rs.8000 in 9 months at 20% per annum, if the interest being compounded quarterly?
Choices:
9261
9229
9285
2788
Answer: A
Question: If 0 < A < Y, A is an odd number and Y is a prime number, which of the following can be the value of A + Y ?
Choices:
13.
17.
10.
7.
Answer: C
Question: One vessel contains a mixture of 5 parts pure wine and 3 parts soda, whereas the other vessel contains a mixture of 7 parts pure wine and 5 parts soda. Compare the strength of the wine.
Choices:
7 : 8
15 : 14
14 : 5
None of these
Answer: B
Question: Employees at a company will vote for an executive team of five people from eight qualified candidates. The executive team consists of a president, a treasurer, and three warrant officers. If an executive team is considered different if any of the same people hold different offices, then how many possible executive teams S could be selected from the eight candidates?
Choices:
120
210
1120
6720
Answer: C
Question: Find the least number of five digits which is exactly divisible by 12, 15 and 18?
Choices:
10080
10025
11080
12000
Answer: A
Question: A waiter's salary consists of his salary and tips. During one week his tips were 5/2 of his salary. What fraction of his income came from tips ?
Choices:
5/4
5/8
5/7
6/9
Answer: C
Question: A can do a work in 40days, B in 60days. A alone start the work after 10days he left work. In how many days B can finish the work?
Choices:
15days
30days
45days
50days
Answer: C
Question: When N is divided by 10 the remainder is 1 and when N is divided by 3 the remainder is 2. What is the remainder K when N is divided by 30?
Choices:
(b) 7
(c) 11
(d) 13
(e) 17
Answer: B
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 60 of this series?
Choices:
5670
5990
6240
6550
Answer: A
Question: Which of the following is closer to (6!+4!)*(6!-4!)?
Choices:
647280
587920
658230
954120
Answer: A
Question: |5 - 2| - |6 - 9| = ?
Choices:
2
1
0
4
Answer: C
Question: In business, A and C invested amounts in the ratio 3:2, whereas the ratio between amounts invested by A and B was 3:4, If Rs 30,000 was their profit, how much amount did B receive.
Choices:
62896
6666
8974
5626
Answer: B
Question: A wheel rotates 10 times every minute and moves 20 cm during each rotation. How many ems does the wheel move in 1 hour?
Choices:
14000
23000
120000
None of these
Answer: C
Question: There are 100 freshmen at a particular college, all of whom must take at least one of the three core classes: Art, Biology, and Calculus. Of these freshmen, 13 take only Biology, 10 take only Calculus, 5 take all three classes, and 20 take Art and exactly one of the other two core classes. If the number of freshmen who take only Art is 3 times the number of freshmen who take every core class except Art, how many freshmen take Art?
Choices:
64
36
48
61
Answer: A
Question: Find the value of x from logx 100 = 2
Choices:
10
13
14
15
Answer: A
Question: The bankerâ€™s discount of a certain sum of money is Rs. 90 and the true discount on the same sum for the same time is Rs. 60. The sum due is
Choices:
180
360
450
None
Answer: A
Question: A boat ma goes 2km against the current of the stream in 1 hr and goes 1 km along the current in 10 min. how long will it take to go 4 km in stationary water
Choices:
1hr
1hr 15 min
1hr 30 min
4 hr
Answer: A
Question: A shopkeeper increases the price of an article by X% and then decreases it by X%. As a result the price of the article is reduced by $180. After one more such change the price is further reduced by $153 Find the original price of the article.
Choices:
$1200
$1400
$1000
$1500
Answer: A
Question: A question paper has 2 parts, A & B, each containing 7 questions. If a student has to choose 5 from part A & 4 from part B, in how many ways can he choose the questions?
Choices:
1200
1235
1354
735
Answer: D
Question: If x = 3 and y = −2, what is the value of (x − 2y)^y?
Choices:
0.02
0.25
4
8
Answer: A
Question: How many different positive integers are factors of 324 ?
Choices:
16
25
36
49
Answer: C
Question: The average monthly salary of the employees of a firm is Rs.60 out of the employees 12 officers get an average of Rs.400 per month and the rest an average of Rs. 56 per month , Find the number of emp
Choices:
1032
2882
2788
2772
Answer: A
Question: The average weight of a group of persons increased from 48 kg to 51 kg, when two persons weighing 78 kg and 93 kg join the group. Find the initial number of members in the group?
Choices:
22
23
24
None of these
Answer: B
Question: Club X has more than 30 but fewer than 60 members. Sometimes the members sit at tables with 3 members at one table and 4 members at each of the other tables, and sometimes they sit at tables with 3 members at one table and 5 members at each of the other tables. If they sit at tables with 6 members at each table except one and fewer than 6 members at that one table, how many members will be at the table that has fewer than 6 members?
Choices:
1
3
4
5
Answer: A
Question: An old priest fell on a bottom of the well of a church.
The well is 19 inches deep.
At day time, the old priest climbs 5-inches but when at dark he slip back 4 inches.
In how many days priest will come out of the well ?
Choices:
15-days
11-days
19-days
10-days
Answer: A
Question: Two trains, one from P to Q and the other from Q to P, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is
Choices:
4:3
2:4
4:2
2:5
Answer: A
Question: If C is the temperature in degrees Celsins and F is the temperature in degrees Fahrenheit, then the relationship between temperatures on the two scales is expressed by the equation 9C=5(F-32). The temperature required to boil liquid A and liquid B differed by 35 degrees on the Fahrenheit scale, by how many degrees did the temperature extremes differ on the Celsius scale?
Choices:
a) 17
c) 25
d) 45
e) 81
Answer: A
Question: Ronald and Elan are working on an assignment. Ronald takes 6 hours to type 32 pages on a computer, while Elan takes 5 hours to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?
Choices:
6 hours
4 hours
8 hours
10 hours
Answer: C
Question: A copy machine, working at a constant rate, makes 30 copies per minute. A second copy machine, working at a constant rate, makes 55 copies per minute. Working together at their respective rates, how many copies do the two machines make in half an hour ?
Choices:
2,700
4,500
2,550
324,000
Answer: C
Question: Find the value of x. (47% of 1442 - 36% of 1412) + 63 = x?
Choices:
2
3
5
6
Answer: B
Question: How much 60% of 50 is greater than 40% of 30?
Choices:
18
66
55
71
Answer: A
Question: A marching band of 240 musicians are to march in a rectangular formation with s rows of exactly t musicians each. There can be no less than 8 musicians per row and no more than 30 musicians per row. How many different rectangular formations Z are possible?
Choices:
Z=4
Z=5
Z=6
Z=8
Answer: D
Question: A 80 gallon solution of salt and water is 10% salt. How many gallons of water must be added to the solution in order to decrease the salt to 8% of the volume?
Choices:
20
13
14
16
Answer: A
Question: Find the amount on Rs.5000 in 2 years, the rate of interest being 4% per first year and 5% for the second year?
Choices:
5498
5460
5179
5418
Answer: B
Question: The sum of four consecutive even numbers is 84. What would be the largest number?
Choices:
88
24
123
12
Answer: B
Question: If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number?
Choices:
5:5
5:3
5:2
5:1
Answer: B
Question: Out of seven numbers, average of first six number is 40 and average of last six number is 35. the first number is 55. What is the difference between first and last number?
Choices:
30
41
59
None
Answer: A
Question: Four staff members at a certain company worked on a project. The amounts of time that the four staff members worked on the project were in the ratio 2 to 3 to 4 to 5. If one of the four staff members worked on the project for 60 hours, which of the following CANNOT be the total number of hours that the four staff members worked on the project?
Choices:
210
280
420
240
Answer: D
Question: The lunch menu at a certain restaurant contains 4 different entrees and 5 different side dishes. If a meal consists of 1 entree and 2 different side dishes, how many different meal combinations W could be chosen from this menu?
Choices:
20
40
80
100
Answer: B
Question: When we multiply a certain two digit number by the
sum of its digits 405 is achieved. If we multiply the
number written in reverse order of the same digits
by the sum of the digits,we get 486.Find the number?
Choices:
45
50
55
60
Answer: A
Question: Find the value of (85 + 32/113) × 113
Choices:
9244
9636
9623
9637
Answer: D
Question: For an agricultural experiment, 500 seeds were planted in one plot and 200 were planted in a second plot. If exactly 30 percent of the seeds in the first plot germinated and exactly 50 percent of the seeds in the second plot germinated, what percent of the total number of seeds germinated?
Choices:
35.7%
32%
30.8%
60%
Answer: A
Question: There are 2 sections A and B in a class, consisting of 40 and 30 students respectively. If the average weight of section A is 50kg and that of section B is 60kg, Find the average of the whole class?
Choices:
49.32kg
61.67kg
69.15kg
54.28kg
Answer: D
Question: In a jar there are balls in different colors: blue, red, green and yellow.
The probability of drawing a blue ball is 1/8.
The probability of drawing a red ball is 1/5.
The probability of drawing a green ball is 1/7.
If a jar cannot contain more than 500 balls, how many yellow balls are in the Jar?
Choices:
124.
133.
140.
149.
Answer: D
Question: If x - 5 > 2 and x + 3 < 7, the value of x must be between which of the following pairs of numbers?
Choices:
-3 and 4
2 and 7
3 and 4
3 and 10
Answer: C
Question: The average weight of a group of persons increased from 48 kg to 51 kg, when two persons weighing 88 kg and 93 kg join the group. Find the initial number of members in the group?
Choices:
24
25
26
27
Answer: C
Question: If 20 toys cost Rs, 234, what do 35 toys cost?
Choices:
409.5
546.5
654.5
None of them
Answer: A
Question: Nicole cycles at a constant rate of 15 kilometers per hour, and is passed by Jessica, who cycles at a constant rate of 30 kilometers per hour. If Jessica cycles at her constant rate for x minutes after passing Nicole, then stops to wait for her, how many minutes will Jessica have to wait for Nicole to catch up to her?
Choices:
x/2
x
3x/2
2x
Answer: B
Question: A bakery currently has 7 pies and 4 cakes in its inventory. The bakery’s owner has decided to display 5 of these items in the bakery’s front window. If the items are randomly selected, what is the probability that the display will have exactly 3 pies?
Choices:
5/11
14/33
29/77
36/77
Answer: A
Question: In the rectangular coordinate system, if the line x = 6y + 5 passes through points (m,n) and (m + 2,n + p), what is the value of p?
Choices:
1/3
1/4
1/5
1/6
Answer: A
Question: I remember during the school days , the teacher asked the class "can you tell me the sum of the first 50 odd numbers ?".
I ran quickly to the teacher and told her "the answer is 2500". The teacher replied "lucky guess".
She then asked me "can you tell me the sum of first 70 odd numbers ?".
I wait for approx 10 seconds and replied with the correct answer.
How can i answer so quickly and whats the correct answer ?
Choices:
0152
3581
4900
9126
Answer: C
Question: Mary, Peter, and Lucy were picking chestnuts. Mary picked three times as much as much chestnuts than Peter. Lucy picked 5 kg more than Peter. Together the three of them picked 30 kg of chestnuts. How many kilograms of chestnuts did Mary, Peter, and Lucy pick respectively?
Choices:
15, 10, and 5
15, 5, and 10
10, 5, and 15
5, 10, and 15
Answer: B
Question: If there are 20 apples and the apples have to be shared equally among 3 babies. What number of apples are to be added?
Choices:
1
3
4
5
Answer: A
Question: The Natural Woman, a women's health food store, offers its own blends of trail mix. If the store uses 3 different ingredients, how many bins will it need to hold every possible blend, assuming that each blend must have at least three ingredients? (Also assume that each bin can hold one and only one blend.)
Choices:
4
7
11
10
Answer: A
Question: A family consists of grandparents, parents and three grandchildren. The average age of the grandparents is 67 years, that of the parents is 35 years and that of the grandchildren is 6 years. What is the average age of the family?
Choices:
31 5/7 years
31 9/7 years
38 5/7 years
31 5/4 years
Answer: A
Question: H.C.F of 3240, 3600 and a third number is 36 and their L.C.M is 24 * 35 * 52 * 72. The third number is?
Choices:
22 * 35 * 72
22 * 35 * 72
22 * 35 * 71
22 * 35 * 73
Answer: A
Question: For any numbers a and b, a#b = ab(3 − b). If a and a#b both represent positive numbers, which of the following could be a value of b?
Choices:
−2
2
4
7
Answer: B
Question: A train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
Choices:
150
167
197
161
Answer: A
Question: Select a card from pack of 52 playing cards, 2cards are drawn together at random. Find the probability of both the cards being king ?
Choices:
2/121
1/221
2/213
3/412
Answer: B
Question: Twelve coins are tossed simultaneously. In how many of the outcomes will the third coin turn up a head?
Choices:
2^11
3 * 2^8
3 * 2^9
3 * 2^10
Answer: A
Question: The instructions state that Cheryl needs 4/19 square yards of one type of material and 2/13 square yards of another type of material for a project. She buys exactly that amount. After finishing the project, however, she has 4/26 square yards left that she did not use. What is the total amount of square yards of material Cheryl used?
Choices:
4/19
2/3
1 1/9
2 1/9
Answer: A
Question: In how many different number of ways 2 boys and 2 girls can sit on a bench?
Choices:
730
740
750
24
Answer: D
Question: A takes twice as much time as B or thrice as much time to finish a piece of work. Working together, they can finish the work in 2 ays, can do the work alone in
Choices:
11 days
15 days
12 days
18 days
Answer: C
Question: Two mixtures of A and B have A and B in the ratio 3:2 and 3:4. In what proportion should these two mixtures be mixed to get a new mixture in which the ration of A to B is 5:4?
Choices:
5:4
20:7
10:9
14:11
Answer: B
Question: Cream costs twice as much as skim milk. A certain brand of milk is 2/5 cream and 3/5 skim milk. What fraction of the cost of this brand is due to the cream?
Choices:
3/7
4/7
3/5
2/5
Answer: B
Question: An art gallery has only paintings and sculptures. Currently, 1/3 of the pieces of art are displayed, and 1/6 of the pieces on display are sculptures. If 1/3 of the pieces not on display are paintings, and 1000 sculptures are not on display, how many pieces of art does the gallery have?
Choices:
2250
540
640
720
Answer: A
Question: A 3-digit number 4a3 is added to another 3-digit number 984 to give a 4-digit number 13b7, which is divisible by 11. Then, (a + b) = ?
Choices:
10
23
43
66
Answer: A
Question: Riya covers journey from kavali to nellore by car at average speed of 50 Km/hr. She returns back by scooty with an average speed of 50 Km/hr. Find her average speed during the whole journey?
Choices:
50Km/hr
80Km/hr
90Km/hr
100km/hr
Answer: A
Question: The average age of a group of 5 members is 20 years. Two years later, a new member joins the group. The average age of the group becomes 22.5 years. What is the age of the new member ?
Choices:
21 years
22 years
25 years
24 years
Answer: C
Question: Water consists of hydrogen and oxygen, and the approximate ratio, by mass, of hydrogen to oxygen is 2:16. Approximately how many grams of oxygen are there in 117 grams of water?
Choices:
104
112
128
142
Answer: A
Question: Chunilal invests 65% in machinery 20% in raw material ands till has 1,305 cash with him. Find his total investment.
Choices:
7,225
8,500
7,395
None of these
Answer: C
Question: The largest 4 digit number exactly divisible by 44 is?
Choices:
9988
9944
9954
9960
Answer: A
Question: What is the remainder when the number 14^2 * 15^8 is divided by 5?
Choices:
0
2
4
5
Answer: A
Question: Find compound interest on $ 10000 at 15% per annum for 2 years 4 months, compounded annually.
Choices:
3886.25
3186.25
3386.25
3586.25
Answer: A
Question: The ratio between x and y is 8/5; x is increased by 10 and y is multiplied by 10 , what is the ratio between the new values of x and y?
Choices:
5/8
1
10
It Cannot Be Determined
Answer: D
Question: The lenght of a room is 5.5 m and width is 4 m. Find the cost of paving the floor by slabs at the rate of Rs. 750 per sq. metre.
Choices:
s. 15,600
s. 16,500
s. 17,600
s. 17,900
Answer: B
Question: How long does a train 100 m long running at the speed of 65 km/hr takes to cross a bridge 145 m length?
Choices:
13.6 sec
17.9 sec
61.9 sec
47.98 sec
Answer: A
Question: The slant height of a cone is 12 cm and radius of the base is 4cm, find the curved surface of the cone.
Choices:
40 π cm2
48 π cm2
43 π cm2
41 π cm2
Answer: B
Question: If P(A) = 4/5 and P (B) = 2/5, find P (A n B) if A and B are independent events.
Choices:
3/25
8/25
2/13
3/17
Answer: B
Question: Sum of three nos is 98. The ratio between 1 and 2 is 2:3. The ratio between 2 and 3 is 5:8 .
Find the second no?
Choices:
20
30
40
50
Answer: B
Question: Kaushalya can do a work in 20 days, while kaikeyi can do the same work in 25 days. They started the work jointly.Few days later Sumitra also joined them and thus all of them completed the whole work in 10 days. All of them were paid total Rs.700. What is the Share of Sumitra?
Choices:
Rs.185
Rs.70
can't be determined
None of these
Answer: B
Question: Three unbiased coins are tossed. What is the probability of getting 2 Heads and 2 Tail?
Choices:
5/8
3/8
7/8
1/8
Answer: A
Question: A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the third pipe. The time required by the first pipe is?
Choices:
12
15
13
16
Answer: B
Question: A train passes a station platform in 36 seconds and a man standing on the platform in 23 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Choices:
195 m
167 m
887 m
265 m
Answer: A
Question: A man purchased a watch for Rs.400 and sold it at a gain of 20% of the selling price. The selling price of the watch is:
Choices:
480
178
277
1981
Answer: A
Question: A train passes a station platform in 40 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Choices:
240 m
260 m
300 m
380 m
Answer: C
Question: A family consists of two grandparents, two parents and four grandchildren. The average age of the grandparents is 70 years, that of the parents is 40 years and that of the grandchildren is 6 years. What is the average age of family?
Choices:
8/4years
C)30
D)33
E)35
Answer: A
Question: Two goods train each 500 m long, are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one.
Choices:
24 sec
48 sec
60 sec
65 sec
Answer: A
Question: A chair is bought for Rs.400/- and sold at Rs.500/- find gain or loss percentage
Choices:
20% gain
25% gain
30% gain
35% gain
Answer: B
Question: A man purchased 3 blankets @ Rs.100 each, 5 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:
278
211
450
476
Answer: C
Question: If √(3 + ³√x) = 2, then x is equal to :
Choices:
1
4
8
12
Answer: A
Question: A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 27 times, A has killed:
Choices:
72 birds
30 birds
80 birds
20 birds
Answer: B
Question: The least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 8 is:
Choices:
540
591
567
548
Answer: D
Question: When y is divided by 288, the remainder is 45. What is the remainder when the same y is divided by 24?
Choices:
21
23
25
26
Answer: A
Question: Which of the following is not a prime number ?
Choices:
502
509
521
523
Answer: A
Question: Best friends Sprite and Icey have are playing a game of marbles. They invite 10 of their friends to play with them. There are 36 marbles in the bag. If all 12 people are playing, how many marbles does each person get?
Choices:
3
5
6
7
Answer: A
Question: Of the families in City X in 1904, 50 percent owned a personal computer. The number of families in City X owning a computer in 1908 was 30 percent greater than it was in 1904, and the total number of families in City X was 5 percent greater in 1908 than it was in 1904. what percent of the families in City X owned a personal computer in 1908?
Choices:
61.90%
56.20%
70.45%
74.41%
Answer: A
Question: A father was twelve times as old as his son twenty years back. Now he is twice as old as his son. What are their present ages?
Choices:
Father 44 and Son 22
Father 38 and Son 44
Father 55 and Son 22
None of these
Answer: A
Question: The difference between a 4-digit number and the number formed by reversing its digit is not a multiple of
Choices:
27
243
81
11
Answer: D
Question: John found that the average of 15 no.'s is 40. If 10 is added to each number then the mean of number is?
Choices:
50
65
72
78
Answer: A
Question: Of the 200 students at University XYZ majoring in one or more of the engineering disciplines, 110 are majoring in electrical and 150 are majoring in mechanical. If at least 30 of the students are not majoring in either electrical or mechanical, then the number of students majoring in both electrical and mechanical could be any number from
Choices:
70 to 100
110 to 130
130 to 150
150 to 170
Answer: D
Question: If the selling price of 100 articles is equal to the cost price of 63 articles, then the loss or gain percent is:
Choices:
36%
35%
40%
37%
Answer: D
Question: Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
Choices:
25
50
10
82
Answer: C
Question: During the break of a football match, the coach will make 3 substitutions. If the team consists of 12 players among which there are 2 forwards, what is the probability that none of the forwards will be substituted?
Choices:
21/55
28/55
28/44
36/55
Answer: A
Question: 529 is a perfect square. When x is added to the square root of 529, the result is also a perfect square. What is x?
Choices:
2
3
4
5
Answer: A
Question: Braun invested a certain sum of money at 8% p.a. simple interest for 'n' years. At the end of 'n' years, Braun got back 3 times his original investment. What is the value of n?
Choices:
25 years
12 years 6 months
37 years 6 months
40 years
Answer: A
Question: Which of the following can be a perimeter r of a triangle inscribed in a circle of radius 1?
I. 0.001
II. 0.010
III. 0.100
Choices:
III only
II and III only
I, II, and III
Not I, II, or III
Answer: C
Question: In what time will a train 100 m long cross an electric pole, it its speed be 144 km/hr?
Choices:
2.5
2.4
2.8
2.1
Answer: A
Question: A tradesman by means of his false balance defrauds to the extent of 60%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
Choices:
156%
134%
146%
183%
Answer: A
Question: What will come in place of the x in the following Number series? 73205, 6655, 605, 55, x
Choices:
73205
86543
98765
86545
Answer: A
Question: If 120/x is an integer and 108/x is an integer, which of the following must be true?
I. 9/x is an integer
II. 12/x is an integer
III. 36/x is an integer
Choices:
I only
I and II only
II and III only
I, II and III
Answer: A
Question: Let N be the greatest number that divides 1305, 4665 and 6905, leaving the same remainder in each case. Then sum of the digits in N is:
Choices:
4
6
7
8
Answer: A
Question: A contest will consist of n questions, each of which is to be answered eithertrueorfalse. anyone who answers all n questions correctly will be a winner. what is the least value of n for which the probability is less than 1/100000 that a person who randomly guesses the answer to each question will be a winner?
Choices:
10
50
100
1000
Answer: D
Question: A and B have less than 6 diamonds each.What is the probability that the sum of diamonds they have is more than 3 but less than 7?
Choices:
9/25
4/9
2/3
3/2
Answer: B
Question: Sally has five red cards numbered 1 through 5 and four blue cards numbered 3 through 6. She stacks the cards so that the colors alternate and so that the number on each red card divides evenly into the number on each neighboring blue card. What is the sum of the numbers on the middle three cards?
Choices:
9
10
11
12
Answer: D
Question: Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 1.9 km respectively. The time taken by the slower train to cross the faster train in seconds is?
Choices:
72
48
96
22
Answer: A
Question: What amount does Kiran get if he invests Rs.8000 at 10% p.a. compound interest for two years, compounding done annually?
Choices:
Rs.19828.80
Rs.19878.80
Rs.19825.80
Rs.19828.90
Answer: A
Question: What will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 55?
Choices:
3740
7290
6928
3729
Answer: A
Question: if length of a rectangle is equal to side of a square and breadth of rectangle is half of length.if area of square is 36 sq.m.calculate the area of rectangle?
Choices:
18
27
32
25
Answer: A
Question: Bottle R contains 250 capsules and costs $5.25. Bottle T contains 130 capsules and costs $2.99. What is the difference between the cost per capsule for bottle R and the cost per capsule for bottle T?
Choices:
$0.12
$0.05
$0.03
$0.002
Answer: D
Question: A tea expert claims that he can easily find out whether milk or tea leaves were added first to water just by tasting the cup of tea. In order to check this claims 16 cups of tea are prepared, 8 in one way and 8 in other. Find the different possible ways of presenting these 16 cups to the expert.
Choices:
12870
13000
13400
None
Answer: A
Question: Statement: Unemployment allowance should be given to all unemployed Indian youth above 18 yrs of age. Assumptions: 1) There are unemployed youth in India who needs monetary support. 2) The government has sufficient funds to provide allowance to all unemployed youth.
Choices:
Only assumption I is implicit
Either I or II is implicit
Neither I nor II is implicit
Both I and II are implicit
Answer: A
Question: A fruit seller sells mangoes at the rate of Rs.6 per kg and thereby loses 15%. At what price per kg, he should have sold them to make a profit of 5%
Choices:
Rs 7.41
Rs 10.41
Rs 11.81
None of these
Answer: A
Question: Sandy gets 3 marks for each correct sum and loses 2 marks for each incorrect sum. Sandy attempts 30 sums and obtains 45 marks. How many sums did Sandy get correct?
Choices:
21
24
27
28
Answer: A
Question: What ratio must a shopkeepermix Peas and Soybean of Rs.16 and Rs. 25/kg, As to obtain a mixture of Rs.22?
Choices:
9 : 8
1 : 2
13 : 11
14 : 8
Answer: B
Question: Jolene entered an 18-month investment contract that guarantees to pay 2 percent interest at the end of 4 months, another 3 percent interest at the end of 12 months, and 4 percent interest at the end of the 18 month contract. If each interest payment is reinvested in the contract, and Jolene invested $10,000 initially, what will be the total amount of interest paid during the 18-month contract?
Choices:
$726.24
$900.00
$920.24
$926.24
Answer: C
Question: (3+√3+√5)^2-(√3+√5)^2=?
Choices:
9+6√3+6√5
1-√3+√5
1+√3-√5
√3+√5
Answer: A
Question: Mohan went to a shop and bought things worth Rs. 100, out of which 90 Paise went on sales tax on taxable purchases. If the tax rate was 9%, then what was the cost of the tax free items?
Choices:
89.1
79.1
80.1
85.1
Answer: A
Question: Reeya obtained 65, 67, 76, 82 and 85 out of 100 in different subjects, What will be the average
Choices:
75
80
85
60
Answer: A
Question: On a map, 1 centimeter represents 25 kilometers. Two cities 425 kilometers apart would be separated on the map by how many centimeters?
Choices:
17
19
310
280
Answer: A
Question: Three numbers are in the ratio 5 : 6 : 8. The sum of its longest and smallest numbers equals the sum of the third number and 49. Find the third number?
Choices:
B)75
C)48
D)42
E)63
Answer: C
Question: The total of 336 of 20 paise and 25 paise make a sum of Rs. 71. The no of 20 paise coins is
Choices:
277
278
260
288
Answer: C
Question: A train running at the speed of 60 km/hr crosses a pole in 18 seconds. What is the length of the train?
Choices:
180 metres
324 metres
300 metres
180 metres
Answer: C
Question: In a game of billiards, A can give B 30 points in 80 and he can give C 40 points in 80. How many points can B give C in a game of 100?
Choices:
24
25
20
28
Answer: C
Question: Two trains, each 100 m long, moving in opposite directions, cross other in 8 sec. If one is moving twice as fast the other, then the speed of the faster train is?
Choices:
18 km/hr
60 km/hr
16 km/hr
11 km/hr
Answer: B
Question: An urn contains 8 black and 2 white balls. Two balls are drawn from the urn one after the other
without replacement. What is the probability that both drawn balls are black?
Choices:
28/45
2/5
3/5
2/7
Answer: A
Question: If × stands for 'addition', ÷ stands for 'subtraction', + stands for 'multiplication' and-stands for 'division', then 20 × 8 ÷ 8 - 4 + 2 = ?
Choices:
77
24
23
21
Answer: B
Question: In March, Kurt ran an average of 1.5 miles an hour. If by June he had increased his pace by 10 seconds per mile, then which of the following expresses the number of hours it would take Kurt to complete one mile in June?
Choices:
2410/60^2
2390/60^2
3586/60
60^2/3590
Answer: B
Question: Which fraction should be added to:
1/(2 Ã— 3) + 1/(3 Ã— 4) + 1/(4 Ã— 5) + ....... + 1/(31 Ã— 32)
so that the result is equal to 1?
Choices:
13/32
15/32
17/32
19/32
Answer: C
Question: In a renowned city, the average birth rate is 4 people every two seconds and the death rate is 2 people every two seconds. Estimate the size of the population net increase that occurs in one day.
Choices:
86,400
468,830
338,200
259,200
Answer: A
Question: In what time will a train 200 m long cross an electric pole, it its speed be 216 km/hr?
Choices:
2.8 sec
8.5 sec
3.3 sec
4.5 sec
Answer: C
Question: A certain debt will be paid in 52 installments from January 1 to December 31 of a certain year. Each of the first 25 payments is to be $500; each of the remaining payments is to be $100 more than each of the first 25 payments. What is the average (arithmetic mean) payment that will be made on the debt for the year?
Choices:
450
552
600
400
Answer: B
Question: In the first week of the Year, Rancy saved $1. In each of the next 51 weeks, she saved $1 more than she had saved in the previous week. What was the total amount that Rancy saved during the 52 weeks?
Choices:
$1,352
$1,378
$2,652
$2,756
Answer: B
Question: A truck covers a distance of 200 metres in 1 minute whereas a bus covers a distance of 100kms in 50minutes. The ratio of their speeds is?
Choices:
1:5
ratio 1:10
9:13
7:15
Answer: B
Question: A circular logo is enlarged to fit the lid of a jar. The new diameter is 10 per cent larger than the original. By what percentage has the area of the logo increased?
Choices:
80
100
125
21
Answer: D
Question: Two pipes P and Q can fill a cistern in 12 and 13 minutes respectively. Both are opened together, but at the end of 3 minutes the first is turned off. How much longer will the cistern take to fill?
Choices:
1/4
2/4
1/4
3/4
Answer: D
Question: Find the compound interest accrued on an amount of Rs.14,800 at 13.5% p.a at the end of two years. (Round off your answer to nearest integer?
Choices:
Rs.4290
Rs.4566
Rs.4266
Rs.4208
Answer: C
Question: Which one of the following is the common factor of (4743 + 4343) and (4747 + 4347) ?
Choices:
47+43
(47^43)+(43^47)
None of these
(47^2)+(43^2)
Answer: A
Question: The rate of a certain chemical reaction is directly proportional to the square of the concentration of chemical B present and inversely proportional to the concentration of chemical A present. If the concentration of chemical B present is increased by 100 percent, which of the following is closest to the percent change in the the concentration of chemical B required to keep the reaction rate unchanged.
Choices:
60% decrease
40% decrease
30% increase
50% increase
Answer: B
Question: 10 books are placed at random in a shelf. The probability that a pair of books will always be together is?
Choices:
1/8
1/5
1/1
1/2
Answer: B
Question: In a T.V. factory, an average of 60TVs are produced per day for the fist 25days of the months. A few workers fell ill for the next five daysreducing the daily avg for the month to 58 sets/day . The average production per day for day last 5days is ?
Choices:
42
48
50
54
Answer: B
Question: In covering a distance of 18 km, Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less than Sameer. Abhay's speed is:
Choices:
3 kmph
6.25 kmph
7.5 kmph
7.8 kmph
Answer: A
Question: Ratio between Rahul and Deepak is 4:2, After 6 Years Rahul age will be 22 years. What is Deepak present age
Choices:
3
5
2
7
Answer: C
Question: 12,31,68,?,220,347,516
Choices:
220
347
129
520
Answer: C
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 6 minutes, then the area of the park (in sq. m) is:
Choices:
153600
86400
153603
153604
Answer: B
Question: John and Ingrid pay 30% and 40% tax annually, respectively. If John makes $56000 and Ingrid makes $73000, what is their combined tax rate?
Choices:
34.4%
35%
35.6%
36.4%
Answer: C
Question: Excluding stoppages, the speed of a train is 45 kmph and including stoppages it is 36 kmph. Of how many minutes does the train stop per hour?
Choices:
27
12
121
28
Answer: B
Question: What decimal of an hour is a second
Choices:
0027
2787
2788
2992
Answer: A
Question: A car covers a distance of 1080 km in10 hrs. What is its speed in mps.
Choices:
25 m/s
20 m/s
15 m/s
30 m/s
Answer: D
Question: Tim and Élan are 120 miles away from one another. They are starting to move towards each other simultaneously, Tim at a speed of 10 Mph and Élan at a speed of 5 Mph. If every hour they double their speeds, what is the distance that Tim will pass until he meets Élan?
Choices:
35 miles.
45 miles.
60 miles.
80 miles.
Answer: D
Question: The average temperature of Monday, Tuesday, Wednesday and Thursday was 38∘ and that of Tuesday, Wednesday, Thursday and Friday was 40∘. If the temperature on Monday was 34∘, the temperature of Friday was :
Choices:
42∘
38∘
30∘
None of these
Answer: A
Question: Out of 17 applicants, there are 8 boys and 9 girls. Two persons are to be selected for the job. Find the probability that at least one of the selected persons will be a girl.
Choices:
19/34
21/34
27/34
37/34
Answer: C
Question: A man sells a horse for Rs.800 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse?
Choices:
268
267
860
727
Answer: C
Question: At what price must an article costing Rs.95 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:
125
145
135
144
Answer: A
Question: A tank of 425 litres capacity has been filled with water through two pipes, the
first pipe having been opened five hours longer than the second. If the first pipe
were open as long as the second, and the second pipe was open as long as the
first pipe was open, then the first pipe would deliver half the amount of water
delivered by the second pipe; if the two pipes were open simultaneously, the
tank would be filled up in 17 hours. How long was the second pipe open?
Choices:
14
15
16
17
Answer: B
Question: If x > y and y > z, which of the following represents the greatest number T?
Choices:
x − z
y − x
z − y
z − x
Answer: A
Question: A, B, C, D, E are the five electronic shops in the Naza market, which have 20, 30, 60, 80 and 50 T. V . sets with them respectively, then the average number of T. V. sets in each shop is
Choices:
48
50
60
None
Answer: A
Question: The cost of 3 pens and 5 pencils is Rs.240. Also the cost of one pen and one pencil is in the ratio of 5:1 respectively. What is the cost of one dozen pens?
Choices:
Rs.720
Rs.300
Rs.150
None of these
Answer: A
Question: what is the minimum value of f(x) where
f(x)=(logax+logbx+logcx) and a>b>c>1..
Choices:
3
1
4
5
Answer: A
Question: Suppose you have access to a large vat of distilled water, several gallons large. You have two precise measuring pipettes, one to measure exactly 1/6 of an ounce and one to measure exactly 1/7 of an ounce. You can pour precisely measured amounts into a beaker, which initially is empty. You can use either pipette to remove distilled water from the vat or from the beaker and use either pipette to dispense water into either of those receptacles, but you cannot use either pipette to take any quantity of distilled water other than the amount for which it is designed. Which of the following represents, in ounces, a precise amount of distilled water you can transfer from the vat to the beaker?
I. 1/6
II. 1/7
III. 1/12
Choices:
III only
I and III only
1/42 and 13/42
I, II, and III
Answer: C
Question: A trader mixes 80 kg of tea at 15 per kg with 20 kg of tea at cost price of 20 per kg. In order to earn a profit of 50%, what should be the sale price of the mixed tea?
Choices:
22
20
19.2
None of these
Answer: D
Question: Mala had a stock of 1200 balls in his bookshop. He sold 50 on Monday, 100 on Tuesday, 120 on Wednesday, 150 on Thursday and 200 on Friday. What percentage of the balls were not sold?
Choices:
42.5%
38.6%
48.3%
52.8%
Answer: C
Question: The difference between the compound interest compounded annually and simple interest for 2 years at 20% per annum is Rs.144. Find the principal?
Choices:
3622
3600
3618
3620
Answer: B
Question: Find the highest common factor of 36 and 84?
Choices:
6
12
18
None of these
Answer: B
Question: There are 9 balls in a jar: 3 red, 2 blue and 4 green. If a single ball is drawn from the jar, what is the probability of that it is either blue or red?
Choices:
1/4
5/9
2/3
3/4
Answer: B
Question: A painting is painted on a cardboard 19 cm and 14 cm wide, such that there is a margin of 1.5 cm along each of its sides. Find the total area of the margin.
Choices:
80 cm²
90 cm²
95 cm²
98 cm²
Answer: B
Question: What is the measure of the angle Q made by the diagonals of the any adjacent sides of a cube.
Choices:
45
60
75
90
Answer: B
Question: A set consist of 2n-1 element. What is the number of subsets of this set which contain at most n-1 elements?
Choices:
2^(2n-2)
2^(2n) -1
2^(2n)
2^(2n-1)
Answer: A
Question: A man can swim in still water at 4.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
Choices:
1.4
1.1
1.5
1.9
Answer: C
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:
1 kmph
8 kmph
5 kmph
9 kmph
Answer: A
Question: A customer pays 40 dollars for a coffee maker after a discount of 20 dollars
What is the original price of the coffe maker?
Choices:
B)$60
C)$70
D)$80
E)$90
Answer: A
Question: What is the smallest integer c for which 27^c> 3^24?
Choices:
8
9
10
12
Answer: B
Question: Each of the 42 points is placed either inside or on the surface of a perfect sphere. If 65% or fewer of the points touch the surface, what is the maximum number of segments which, if connected from those points to form chords, could be the diameter of the sphere?
Choices:
11
13
23
38
Answer: B
Question: In how many different ways can 4 physics, 2 math, and 2 chemistry books be arranged in a row so that all books of the same subject are together?
Choices:
432
456
524
576
Answer: D
Question: Even after reducing the marked price of a transistor by Rs. 32, a shopkeeper makes a profit of 15%. If the cost price be Rs.320, what percentage of profit would he have made if he had sold the transistor at the marked price?
Choices:
20 %
25 %
30 %
None
Answer: B
Question: A ball is bought for Rs.400 and sold at a gain of 40% find its selling price?
Choices:
A)Rs.560/-
C)Rs.500/-
D)Rs.520/-
E)Rs.540/-
Answer: A
Question: The population of a city increases @ 4% p.a. There is an additional annual increase of 4% of the population due to the influx of job seekers, find the % increase in population after 2 years ?
Choices:
15.64%
16.64%
17.64%
18.64%
Answer: B
Question: The speed of a boat in still water is 20 km/hr and the rate of current is 5 km/hr. The distance travelled downstream in 24 minutes is:
Choices:
5
7
6
10
Answer: D
Question: Average monthly income of a family of 4 earning members was Rs. 840. One of the earning members died and therefore, the average income came down to Rs 650. The income of the deceased was?
Choices:
Rs. 820
Rs. 990
Rs. 1410
None
Answer: C
Question: The G.C.D of 1.08, 0.36 and 0.9 is
Choices:
0.1
0.18
0.11
0.12
Answer: B
Question: Express of the following as a fraction: 4%
Choices:
1/25
4/25
7/25
None of them
Answer: A
Question: A 40-liter solution of alcohol and water is 5 percent alcohol. If 3.5 liters of alcohol and 6.5 liters of water are added to this solution, what percent of the solution produced is alcohol?
Choices:
11%
14%
17%
20%
Answer: A
Question: The rate of Interest on a sum of money is 3% p.a. for the first 3 years, 4% p.a. for the next 4 years, and 5% for the period beyond 7 years. If the S.I, Occurred on the sum for the total period of 8 years is Rs. 540/-, the sum is
Choices:
1,800
2,100
2,250
2,540
Answer: A
Question: If 7 boys meet at a reunion and each boy shakes hands exactly once with each of the others, then what is the total number of handshakes
Choices:
21
43
44
45
Answer: A
Question: A freight elevator can carry a maximum load of 1150 pounds. Sean, who weighs 200 pounds, is in the elevator with two packages weighing 150 pounds and 280 pounds. If he needs to fit three more packages in the elevator that weigh as much as possible without exceeding the elevator limit, what is the difference between their average and the average of the two packages already in the elevator?
Choices:
42
190
215
210
Answer: A
Question: A is twice as good a work man as B and together they finish the work in 8 days. In how many days A alone can finish the work?
Choices:
12
77
92
61
Answer: A
Question: In a garden, there are five blue flowers, five red flowers, five green flowers, and five pink flowers. What is the probability that a florist will choose three flowers of the same color when randomly picking three flowers?
Choices:
6/55
31/10
3/55
1/16
Answer: A
Question: The greatest common factor of 16 and the positive integer n is 4, and the greatest common factor of n and 45 is 3. Which of the following could be the greatest common factor of n and 120?
Choices:
14
32
30
70
Answer: C
Question: JERRY has 13 ten-dollar bills, 11 five-dollar bills, and 17 one-dollar bills. If JERRY needs to pay exactly $128, what is the least number of bills he will need to use?
Choices:
16
46
577
576
Answer: A
Question: What percent of 7.2 kg is 18 gms ?
Choices:
25
288
19
17
Answer: A
Question: Find the number of square tiles to cover the floor of a room measuring 4 m * 9 m leaving 0.30 m space around the room. A side of square tile is given to be 20 cms?
Choices:
714
268
208
276
Answer: A
Question: In the graph below, no axes or origin is shown. If point B's coordinates are (10,5), which of the following coordinates would most likely be A's?
Choices:
(10, 6)
(6, 8)
(-10, 3)
(-2, -17)
Answer: D
Question: Sobha's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
Choices:
6
8
10
2
Answer: A
Question: Calculate the distance covered by 200 revolutions of a wheel of radius 21 cm.
Choices:
664 m
364 m
164 m
264 m
Answer: D
Question: Find large number from below question The difference of two numbers is 1311. On dividing the larger number by the smaller, we get 11 as quotient and the 11 as remainder
Choices:
1324
1441
1300
1635
Answer: B
Question: If a*b*c=65, b*c*d = 65, c*d*e=1000 and d*e*f=250 the (a*f)/(c*d) = ?
Choices:
1/4
3/4
2/3
None of these
Answer: A
Question: The average mark of the students of a class in a particular exam is 80. If 8 students whose average mark in that exam is 20 are excluded, the average mark of the remaining will be 90. Find the number of students who wrote the exam.
Choices:
25
35
45
56
Answer: D
Question: The price of rice falls by 25%. How much rice can be bought now with the money that was sufficient to buy 20 kg of rice previously?
Choices:
15 kg
26.67 kg
30 kg
None
Answer: B
Question: A boat can move upstream at 46 kmph and downstream at 64 kmph, then the speed of the current is?
Choices:
6
9
4
2
Answer: B
Question: 49 Ã— 49 Ã— 49 = 7^?
Choices:
7
8
6
None of these
Answer: C
Question: In an election only two candidates contested 20% of the voters did not vote and 120 votes were declared as invalid. The winner got 200 votes more than his opponent thus he secured 41% votes of the total voters on the voter list. Percentage votes of the defeated candidate out of the total votes casted is:
Choices:
389
38
45
01
Answer: C
Question: Lloyd normally works 7.5 hours per day and earns $4.50 per hour. For each hour he works in excess of 7.5 hours on a given day, he is paid 2.0 times his regular rate. If Lloyd works 10.5 hours on a given day, how much does he earn for that day?
Choices:
$47.25
$60.75
$54.00
$70.00
Answer: B
Question: A cylindrical cube of radius 12 cm contains water upto a depth of 20 cm. A spherical iron ball is dropped into the tub and thus the level of water is raised by 6.75 cm. The radius of the ball is :
Choices:
8.5 cm
9 cm
9.5 cm
None
Answer: B
Question: 9 examiners can examine a certain number of answer books in 12 days by working 5 hours a day. How many hours in a day should 4 examiners work to examine twice the number of answer books in 30 days?
Choices:
9
11
12
15
Answer: A
Question: Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
Choices:
2 min
6 min
10 min
3 min
Answer: C
Question: what is the least number. which should be added to 0.0478 to make it a perfect square?
Choices:
0.0004
0.0006
0.0008
0.001
Answer: B