antoine-444/aqua_rat_dataset huggingface dataset:
Question: For a group of n people, k of whom are of the same sex, the (n-k)/n expression yields an index for a certain phenomenon in group dynamics for members of that sex. For a group that consists of 20 people, 7 of whom are females, by how much does the index for the females exceed the index for the males in the group?
Choices:
0.0625
0.2
0.3
0.6
Answer: C
Question: Find the number of square tiles to cover the floor of a room measuring 4.5 m * 9 m leaving 0.25 m space around the room. A side of square tile is given to be 25 cms?
Choices:
476
472
471
544
Answer: D
Question: In an increasing sequence of 3 consecutive integers, the sum of the first 2 integers is 561. What is last integer in the sequence?
Choices:
282
275
270
265
Answer: A
Question: A person borrows Rs. 9000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at 6 p.a for 2 years. Find his gain in the transaction per year.
Choices:
150 rs
160 rs
180 rs
200 rs
Answer: C
Question: Three numbers are in the ratio of 2 : 3 : 4 and their L.C.M. is 276. What is their H.C.F.?
Choices:
23
28
32
36
Answer: A
Question: David decides to attend a base ball game with four friends. If the party of five sits together in five consecutive seats, and David must NOT sit in between two of his friends, how many ways can the five friends be arranged?
Choices:
24
36
6
48
Answer: D
Question: A die is thrown three times. Events X and Y are defined as below:
X : 4 on the third throw
Y : 6 on the first and 5 on the second throw
What is the probability of X given that Y has already occurred.
Choices:
1/6
1/8
1/11
1/13
Answer: A
Question: If the number of 741,61n, where n represents the ones digit, is a multiple of 3, then the value of n could be which of the following?
Choices:
6
5
4
3
Answer: B
Question: If a-b= 8 and a^2+b^2=164, find the value of ab
Choices:
12
50
18
19
Answer: B
Question: In a office work is distribute between p persons. If 1/3 members are absent then work increased for each person is?
Choices:
14%
15%
16%
50%
Answer: D
Question: The probability that a man will be alive for 10more yrs is 1/4 & the probability that his wife will alive for 10 more yrs is 1/3. The probability that none of them will be alive for 10 more yrs, is
Choices:
1/2
3/5
4/7
4/9
Answer: A
Question: A certain college party is attended by both male and female students. The ratio of male to female students is 4 to 5. If 12 of the male students were to leave the party, the ratio would change to 1 to 2. How many total students are at the party?
Choices:
72
80
88
96
Answer: A
Question: Two pipes A and B can fill a cistern in 37 1/2 minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just half an hour, if the pipe B is turned off after?
Choices:
9 min
10 min
15 min
20 min
Answer: A
Question: A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 3 m, the volume of the box (in m3) is:
Choices:
3780
6420
8960
7960
Answer: A
Question: A and B are integers. The expression (A+1)(B+1) is even. What can be said about A and B?
Choices:
At least one of them is even
At least one of them is odd.
They are both odd.
Nothing can be said surly on A and B
Answer: B
Question: Using only the digits from 0 to 6 , how many 5 digit codes can be constructed, if the first digit can not be 4 and no digits is used more than once ?
Choices:
1800
7776
720
820
Answer: A
Question: A train travels at the rate of 10 miles/hr for the first hour of a trip, at 20 miles/hr for the second hour, at 30 miles/hr for the third hour and so on. How many hours will it take the train to complete a 550-mile journey? Assume that the train makes no intermediate stops.
Choices:
8.5
9
9.5
10
Answer: D
Question: Group A has 1 boys and 2 girls, group B has 3 boys and 2 girls and group C has 2 boys and 5 girls. One student is selected from each of the group. Find the probability that one girl and two boys are among the three selected?
Choices:
152/18
29/105
219/315
202/735
Answer: D
Question: How much is 50% of 40 is greater than 4/5 of 25?
Choices:
0
88
12
66
Answer: A
Question: A person distributed 10% of his income to his 2 children each. He deposited 20% of his income to his wife's account. He donated 10% of remaining amount to an orphan house.Finally he has $500. Find his total income?
Choices:
$1000
$1200
$1150
$1500
Answer: A
Question: If a new town has 300 residents, and the population doubles every 10 years, what will be its population after 75 years?
Choices:
9051 residents
54306 residents
15075 residents
18102 residents
Answer: B
Question: 3 men or 6 women can do a piece of work in 20 days. In how many days will 12 men and 8 women do the same work?
Choices:
15/4 days
17/4 days
15/6 days
12/4 days
Answer: A
Question: Find the area, diameter = 12m.
Choices:
113.04 square meter
113.08 square meter
113.24 square meter
113.43 square meter
Answer: A
Question: A salesman’s terms were changed from a flat commission of 5% on all his sales to a fixed salary of Rs.1200 plus 2.5% commission on all sales exceeding Rs. 4,000. If his remuneration as per new scheme was Rs. 1200 more than that by the previous schema, his sales were worth?
Choices:
12000
12019
16000
12012
Answer: C
Question: The speed of a boat in still water is 24 km/hr and the rate of current is 3 km/hr. The distance travelled downstream in 15 minutes is
Choices:
2 km
3.6 km
6.75 km
None of these
Answer: C
Question: Mr Yadav spends 60% of his monthly salary on consumable items and 50% of the remaining on clothes and transport. He saves the remaining amount. If his savings at the end of the year were 48456, how much amount per month would he have spent on clothes and transport?
Choices:
4038
9691.2
4845.6
None of these
Answer: A
Question: A Japanese rock band made ¥3 million on their first album with sales of ¥12 million, and made ¥5 million on their second album with sales of ¥30 million. By approximately what percent did the ratio of profit to sales decrease from the first album to second album?
Choices:
27%
30%
33%
36%
Answer: C
Question: The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 42 kmph, find the speed of the stream?
Choices:
19
14
18
16
Answer: B
Question: A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 800 m long?
Choices:
200 Sec
776 Sec
166 Sec
997 Sec
Answer: A
Question: If y exceeds x by 20%, then x is less than y by?
Choices:
16 1/3 %
16 2/3 %
16 3/5 %
None of these
Answer: B
Question: 3 candidates in an election and received 2500, 5000 and 15000 votes respectively. What % of the total votes did the winningcandidate got in that election?
Choices:
50%
57%
66.6%
65.6%
Answer: C
Question: Two musicians, Maria and Perry, work at independent constant rates to tune a warehouse full of instruments. If both musicians start at the same time and work at their normal rates, they will complete the job in 45 minutes. However, if Perry were to work at twice Maria’s rate, they would take only 30 minutes. How long would it take Perry, working alone at his normal rate, to tune the warehouse full of instruments?
Choices:
1 hr 30 min
2 hr
2 hr 20 min
3 hr
Answer: A
Question: Danny drove his old car 100 kilometers, from his home to a friend. To prevent the engine from overheating, he stopped his car for 13 minutes every time he completed 40 kilometers of continuous driving. When the car was moving, Danny drove it at an average speed of 60 kilometers per hour. What was Danny's average speed on that trip?
Choices:
47.6 kilometers per hour
50 kilometers per hour
75 kilometers per hour
100 kilometers per hour
Answer: A
Question: The function g(p) is defined for integers p such that if p is even, g(p) = p/2 and if p is odd, g(p) = p + 5. Given that g(g(g(g(g(p))))) = 19, how many possible values for p would satisfy this equation?
Choices:
5
7
8
11
Answer: C
Question: Jill invests $10000 in an account that pays an annual rate of 3.96%, compounding semi-annually. Approximately how much Q does she have in her account after two years?
Choices:
Q=$10815.83
$12652.61
$14232.14
$20598.11
Answer: A
Question: What is the least value of x. So that 30x55 is divisible by 3?
Choices:
5
1
2
7
Answer: C
Question: For positive x and y if x/y is n% of y, then what percent must x be of y?
Choices:
(y × n)%
(√n)%
(n^2)%
(100 – n)%
Answer: A
Question: A “palindromic integer” is an integer that remains the same when its digits are reversed. So, for example, 43334 and 516615 are both examples of palindromic integers. How many 6-digit palindromic integers are both even and greater than 800,000?
Choices:
100
160
240
300
Answer: A
Question: An amount of Rs.1560 was divided among A, B and C, in the ratio 1/2 : 1/3 : 1/4. Find the share of C?
Choices:
Rs.368
Rs.380
Rs.360
Rs.311
Answer: C
Question: There are some passengers riding on a bus. At the first stop, half the passengers get off and nobody gets on the bus. This pattern continues as the bus goes to the next stops. If only one passenger gets off at stop number 4, how many passengers were on the bus originally?
Choices:
64
32
16
8
Answer: C
Question: In the Hillside summer camp there are 50 children. 90% of the children are boys and the rest are girls. The camp administrator decided to make the number of girls only 20% of the total number of children in the camp. How many more boys must she bring to make that happen?
Choices:
35.
40.
30.
25.
Answer: A
Question: Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability taht the ticket drawn has a number which is a multiple of 3 or 5?
Choices:
2/5
8/15
9/20
None
Answer: C
Question: A, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months, and C invests thrice the amount after 8 months. If the annual gain be Rs.21000. A's share is?
Choices:
2778
7000
2889
6612
Answer: B
Question: The total cost of 100 paper plates and 200 paper cups is $4.50 At the same rates what is the total cost of 20 of the plates and 40 of the cups?
Choices:
$.90
$1.20
$1.50
$1.60
Answer: A
Question: If two numbers are in the ratio 2:3. If 7 is added to both of the numbers then the ratio becomes 3:4 then find the smallest number?
Choices:
B)14
C)20
D)24
E)26
Answer: A
Question: What decimal of an hour is a second ?
Choices:
0.00027
0.00031
0.00025
0.00023
Answer: A
Question: When the price of an article was reduced by 35% its sale increased by 80%. What was the net effect on the sale?
Choices:
17% increase
60% increase
66% increase
66% decrease
Answer: A
Question: One robot builds a robot in 1 hour, another one builds a robot in 2 hours. The 2 robots work together and when a new robot is complete, it joins the others, working at a constant rate of one robot in 2 hours. How much time will it take until there are 7 robots altogether, if the robots build only one robot at a time?
Choices:
94 1/7 min
110 1/7 min
112 1/7 min
131 1/7 min
Answer: D
Question: Teas worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs 152 per Kg , the price of the third variety per Kg will be?
Choices:
Rs. 785.50
Rs. 174.50
Rs. 258.50
None of these
Answer: B
Question: One side of a triangle has length 5 and a second side has length 4. Which of the following could be the area of the triangle?
I. 15
II. 10
III. 5
Choices:
II only
III only
II and III only
I, II and III
Answer: C
Question: One card is drawn from a pack of 52 cards. What is the probability that the card drawn is a ten or a spade?
Choices:
4/13
4/15
7/19
11/31
Answer: A
Question: According to the directions on a packet of smoothie mix, 1 3-ounce packet of smoothie mix is to be combined with 19 ounces of water to make a smoothie. How many 3-ounce packets of smoothie mix are required to prepare 150 12-ounce smoothies?
Choices:
150
180
240
600
Answer: D
Question: There are m cities. What is the number of airlines that connected 2 different cities (airline from city A to city B is different with airline from city B to city A)?
Choices:
m(m-1)
n(n-1)/2
n(n+1)/2
n2
Answer: A
Question: In how many ways can the integer 800 be expressed as a product of two different positive integers?
Choices:
7
5
4
2
Answer: A
Question: One day, Connie plays a game with a fair 6-sided die. Connie rolls the die until she rolls a 6, at
which point the game ends. If she rolls a 6 on her first turn, Connie wins 6 dollars. For each
subsequent turn, Connie wins 1
6 of the amount she would have won the previous turn. What is
Connie's expected earnings from the game?
Choices:
33/31
34/31
36/31
0/31
Answer: C
Question: Visitors to show were charged Rs.15 each on the first day. Rs.7.50 on the second day, Rs.2.50 on the third day and total attendance on the three days were in ratio 2:5:13 respectively. The average charge per person for the whole show is?
Choices:
Rs.5.50
Rs.5.00
Rs.7.00
Rs.8.00
Answer: B
Question: In the first round of the elections, the only two candidates got exactly the same number of votes. During the second round, 20,000 votes switched from the first candidate to the second one. The total number of votes remained the same in both rounds, and no other votes switched sides. If, in the second round, the winning candidate got five times as many votes as the other candidate, how many people have voted in each round?
Choices:
30,000
40,000
50,000
60,000
Answer: D
Question: The average weight of a group of boys is 30 kg. After a boy of weight 37 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ?
Choices:
B)8
C)6
D)2
E)1
Answer: B
Question: 6x – 5y + 3z = 23
4x + 8y – 11z = 7
5x – 6y + 2z = 11
Given the equations above, x + y + z = ?
Choices:
12
13
14
15
Answer: A
Question: If (1+z)y=y, which of the following must be true?
Choices:
z=0 or y=-1
z=1 or y=1
z=-1 or y=-1
z=0 or y=0
Answer: D
Question: Three coins are tossed. Find the probability of at least 2 tails ?
Choices:
1/2
1/4
1/8
3/8
Answer: A
Question: The amount of water (in ml) that should be added to reduce 12 ml. Lotion, containing 50% alcohol, to a lotion containing 30% alcohol, is?
Choices:
8 ml
4 ml
6 ml
1 ml
Answer: A
Question: Mary and Mike enter into a partnership by investing $550 and $450 respectively. At the end of one year, they divided their profits such that a third of the profit is divided equally for the efforts they have put into the business and the remaining amount of profit is divided in the ratio of the investments they made in the business. If Mary received $1000 more than Mike did, what was the profit made by their business in that year?
Choices:
$10000
$15000
$12000
$12500
Answer: B
Question: In an election, candidate A got 79% of the total valid votes. If 15% of the total votes were declared invalid and the total numbers of votes is 560000, find the number of valid vote polled in favour of candidate.
Choices:
357090
37667
379888
287761
Answer: A
Question: A plane flies 660 km with the wind and 570 km against the wind in the same length of time. If the speed of the wind is 15 km/h, what is the speed of the plane in still air?
Choices:
195 km/h
205 km/h
215 km/h
225 km/h
Answer: B
Question: Quentin's income is 60% less than Rex's income, and Sam's income is 25% less than Quentin's income. If Rex gave 60% of his income to Sam and 40% of his income to Quentin, Quentin's new income would be what fraction of Sam's new income?
Choices:
8/9
8/13
11/13
12/13
Answer: A
Question: Find 95 ×× 97
Choices:
92/12
92/13
92/10
92/15
Answer: D
Question: What is the principal sum?
I. The sum amounts to Rs. 660 in 3 years at S.I.
II. The sum amounts to Rs. 700 at S.I.
III. The rate of interest is 6% p.a.
Choices:
I and III only
I and II only
Any two of the three
None of these
Answer: A
Question: The side of a rhombus is 26 m and length of one of its diagonals is 20 m. The area of the rhombus is?
Choices:
267
298
480
281
Answer: C
Question: A shopkeeper wishes to give 5% commission on the marked price of an article but also wants to earn a profit of 10%. If his cost price is Rs. 95, then marked price is:
Choices:
Rs.110
Rs. 120
Rs. 130
None
Answer: A
Question: A and B together can do a work in 9 days. If A alone can do it in 18 days. In how many days can B alone do it?
Choices:
99
18
55
21
Answer: B
Question: There are some pigeons and hares in a zoo. If heads are counted, there are 250. If legs are counted, there are 580. The number of hares in the zoo is?
Choices:
40
60
70
80
Answer: A
Question: The average age of 30 students in a class is 14 years. If the age of teacher is also included, the average becomes 15 years, find the age of the teacher.
Choices:
44
45
47
48
Answer: B
Question: There are 3 red paints and 1 white paint that can be mixed to make new red paint colors. The paints are labeled A for Red78/Red23, B for Red23/Red17, C for Red17/White001. When mixing the paint for the new paint Firehouse Red, the formula calls for 4A:1D. How many of each paint is in Firehouse Red?
Choices:
one part White001 : four parts Red23
four parts Red78 : one part Red17
four parts Red23 : one part Red17
one part White001 : four parts Red78
Answer: D
Question: A man can row 7.2 kmph in still water and he finds that it takes him twice as long to row up as to row down the river. Find the rate of stream.
Choices:
2.4 km/hr
1 2.6 km/hr
22.5 km/hr
22.6 km/hr
Answer: A
Question: Two pipes A and B can fill a cistern in 75/2 minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just half an hour, if the B is turned off after:
Choices:
9 min.
10 min.
15 min
18 min
Answer: A
Question: During the months May through October, Teddy the bear sextuples his weight, and during the months November through April, Teddy loses 100 pounds. If at the beginning of November 1973, Teddy's weight was m pounds, what was Teddy's weight in pounds by the end of April 1976?
Choices:
36m - 1300
6m - 1300
6m - 1200
6m
Answer: A
Question: A person goes to his office at 1/3rd of the speed at which he returns from his office. If the avg speed during the whole trip is 24m/h. what is the speedof the person while he was going to his office?
Choices:
10km/h
12km/h
16km/h
14km/h
Answer: C
Question: A car travels uphill at 30 km/hr and downhill at 80 km/hr. It goes 100 km uphill and 50 km downhill. Find the average speed of the car?
Choices:
38kmph
34kmph
35kmph
36kmph
Answer: A
Question: The number of arrangements that can be made with the letters of the word WORDS so that the vowels occupy the even places?
Choices:
32
777
24
221
Answer: C
Question: There are 50 students in a class. If 14% are absent on a particular day, find the number of students present in the class.
Choices:
43
28
129
11
Answer: A
Question: A train running at the speed of 27 km/hr crosses a post in 20 seconds. What is the length of the train?
Choices:
150
300
175
250
Answer: A
Question: The inverse ratio of 3: 2: 1 is?
Choices:
2:3:9
2:3:2
2:3:6
2:3:1
Answer: C
Question: Luke travelled 12 2/3 miles in 1 hours and 40 minutes. What was his average rate of speed in miles per hour?
Choices:
7 3/5
8 1/5
9
9 2/5
Answer: A
Question: If x = 7 and y = −2, what is the value of (x − 2y)^y?
Choices:
0.001
0.25
4
8
Answer: A
Question: The sum of 4 hours 45 minutes and 5 hours 55 minutes is approximately what percent of a day?
Choices:
36%
40%
44%
48%
Answer: C
Question: A man's speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr. The man's speed against the current is:
Choices:
10 km/hr
12.5 km/hr
9 km/hr
None of these
Answer: A
Question: 90 students represent x percent of the boys at Jones Elementary School. If the boys at Jones Elementary make up 20% of the total school population of x students, what is x?
Choices:
150
212
250
500
Answer: B
Question: If z + | z | = 0, which of the following must be true?
Choices:
z≥0
z< 0
z≤0
z = 0
Answer: C
Question: If 20% of s = t, then t% of 20 is the same as
Choices:
4% of s
20% of s
None
30% of s
Answer: A
Question: What is the minimum value of z for which z^2 + z - 3/6 > 0 is not true?
Choices:
-3/2
-1
1/4
1/2
Answer: B
Question: One side if a square is doubled. If the parameter is now 12x. What was the length of one of the sides before it was doubled?
Choices:
12x/2
6x/2
12x/6
4x/1
Answer: A
Question: How many of the following numbers are divisible by 22 ?
264, 396, 462, 792, 968, 2178, 5184, 6336
Choices:
4
5
6
7
Answer: D
Question: A lady builds 10cm length, 13cm width, and 5cm height box using 5cubic cm cubes. What is the minimum number of cubes required to build the box?
Choices:
108
130
150
145
Answer: B
Question: For an integer n greater than 1, n* denotes the product of all the integers from 1 to n inclusive. How many prime numbers are there between 7*+3 and 7*+7, inclusive ?
Choices:
1
2
3
0
Answer: D
Question: Find the smallest number of 6 digits which is exactly divisible by 111?
Choices:
15550
100011
158993
100010
Answer: A
Question: If m is a positive integer and m^2 is divisible by 24, then the largest positive integer that must divide m is?
Choices:
6
8
12
16
Answer: B
Question: A certain college's enrollment at the beginning of 1992 was 20 percent greater than it was at the beginning of 1991, and its enrollment at the beginning of 1993 was 15 percent greater than it was at the beginning of 1992. The college's enrollment at the beginning of 1993 was what percent greater than its enrollment at the beginning of 1991 ?
Choices:
24%
30%
35%
38%
Answer: D
Question: a person travels from his house to office from 11:10am to 11:50 am and covers a distence of 13.4km. find the average speed of the person.
Choices:
20.1km/h
21.1km/h
22.1km/h
20.9km/h
Answer: A
Question: 3/x + 3x = 3(x-9)
Choices:
-1/6
-1/9
1/9
9
Answer: A
Question: A bowl of fruit contains 14 apples and 21 oranges. How many oranges must be removed so that 70% of the pieces of fruit in the bowl will be apples?
Choices:
15
14
17
20
Answer: A
Question: A train 210 meters long is running with a speed of 54 kmph. The time taken by it to cross a tunnel 120 meters long is?
Choices:
22
48
99
11
Answer: A
Question: An air conditioner can coo the hall in 15 minutes while another takes 20 minutes to cool under similar conditions. if both air conditioners are switched on at same instance then how long will it take to cool the room?
Choices:
about 7 minutes
about 15 minutes
about 19 minutes
about 9 minutes
Answer: D
Question: At the store opening, Larry's Grocery had 50 Lemons and 60 Oranges. By closing, the store at 20 Lemons and 40 Oranges left. By approximately what percent did the ratio of Lemons to Orange decrease from opening to closing.
Choices:
40.0%
30.0%
20.0%
10.0%
Answer: A
Question: .
On dividing a number by 357, we get 40 as remainder. On dividing the same number 17, what will be the remainder ?
Choices:
6
5
8
11
Answer: A
Question: A number x is 7 times another number y. The percentage that y is less than x is
Choices:
85.7%
80%
11%
1%
Answer: A
Question: There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is
Choices:
100
120
140
150
Answer: A
Question: Two varieties of wheat - A and B costing Rs. 9 per kg and Rs. 15 per kg were mixed in the ratio 3 : 7. If 5 kg of the mixture is sold at 25% profit, find the profit made?
Choices:
3.78
16.5
5.84
7.62
Answer: B
Question: From a group of 7 men and 6 women, 4 persons are to be selected to form a committee so that at most 2 men are there in the committee. In how many ways can it be done?
Choices:
520
760
470
464
Answer: C
Question: 14, 35, 56, 91, 126
In the sequence above, each term is related with the others. Which of the following could not be a term in the sequence?
Choices:
407
322
686
847
Answer: A
Question: Jones covered a distance of 50 miles on his first trip. On a later trip he traveled 300 miles while going three times as fast. Find out his new time compared with the old time.
Choices:
twice as much
the same
half as much
a third as much
Answer: A
Question: When x is divided by 7, the remainder is 5. When m is divided by 13, the remainder is 6. If 1 < x< 200, what is the greatest possible value of x?
Choices:
19
61
74
110
Answer: D
Question: The age of Ritu's mother is 6 times that of Ritu's age. After 6 years it will be 3 times that of Ritu's age. what is Ritu's mother present age?
Choices:
24 years
28 years
10 years
None of the above
Answer: A
Question: Every letter in the alphabet has a number value that is equal to its place in the alphabet. Thus, the letter A has a value of 1, the letter B has a value of 2, the letter C has a value of 3, etc... The number value of a word is obtained by adding up the value of the letters in the word and then multiplying that sum by the length of the word. What is the number value of the word "RAT"?
Choices:
111
114
117
120
Answer: C
Question: For any non-zero a and b that satisfy |ab| = -ab and |a| = a, a^2+b^2+2|ab| =?
Choices:
(a+b)^2
(a-b)^2
a^2-|ab+ab^2|
4-ab
Answer: B
Question: A boat crossed a lake from West to South at the speed of 8 km/h, entered a river and covered twice as much distance going upstream at 7 km/h. It then turned around and stopped at the south shore of the lake. If it averaged 3.8 km/h that day, what was its approximate downstream speed?
Choices:
5
6
7
9
Answer: D
Question: A train speeds past a pole in 15 seconds and a platform 100 meter long in 25 seconds. What is length of the train ?
Choices:
145 meter
150 meter
155 meter
None of these
Answer: B
Question: The ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 6912 sq cm. Find the ratio of the breadth and the area of the rectangle?
Choices:
1: 96.
1: 94
1: 93
1: 72
Answer: A
Question: A sequence of positive and negative numbers contain q numbers. If the sequence begins with a negative number and q is an odd number how many positive numbers are in it.
Choices:
(q+1)/2
(q-1)/2
q/(2-1)
q/(2+2)
Answer: B
Question: There are 8 executives, including the CEO and CFO, that are asked to form a small team of 5 members. However, the CEO and CFO may not both be assigned to the team. Given this constraint, how many ways are there to form the team?
Choices:
35
36
37
38
Answer: B
Question: A car covers a distance of 720 km in 6 ½ hours. Find its speed?
Choices:
187 kmph
120 kmph
175 kmph
106 kmph
Answer: B
Question: The parameter of a square is equal to the perimeter of a rectangle of length 8 cm and breadth 6 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square.
Choices:
23.59
23.55
23.53
11.0
Answer: D
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
1.1
1.5
1.9
Answer: A
Question: A sprinter starts running on a circular path of radius r metres. Her average speed (in metres/minute) is πr during the first 30 seconds, πr/2 during next one minute, πr/4 during next 2 minutes, πr/8 during next 4 minutes, and so on. What is the ratio of the time taken for the nth round to that for the previous round?
Choices:
8
16
32
36
Answer: B
Question: Anand and Deepak started a business investing Rs. 4,500 and Rs. 6,000 respectively. Out of a total profit of Rs. 420. Deepak's share is?
Choices:
s. 310
s. 240
s. 840
s. 400
Answer: B
Question: Evaluate : (2.39)(power 2) - (1.61) (power 2) / 2.39 - 1.61
Choices:
4
8
2
10
Answer: A
Question: The average of first 16 even numbers is?
Choices:
11
17
13
14
Answer: B
Question: A basket contains 9 marbles. 4 are red and 5 are blue marbles If two marbles are drawn at random what is the probability that at least one ball is red.
Choices:
17/18
11/18
13/18
15/18
Answer: C
Question: The average age of 38 students in a group is 14 years. When teacherâ€™s age is included to it, the average increases by one. What is the teacherâ€™s age in years?
Choices:
36
53
58
None
Answer: B
Question: In a rectangular coordinate system, what is the area of a rectangle whose vertices have the coordinates (-7, 1), (1, 1), (1, -6) and (-7, -6)?
Choices:
64
42
24
56
Answer: D
Question: How many three digit numbers N are divisible by 78 or 91?
Choices:
19
20
21
22
Answer: A
Question: In three annual examinations, of which the aggregate marks of each was 500, a student secured
average marks 45% and 55% in the first and the second yearly examinations respectively. To secure 50% average total marks, it is necessary for him in third yearly examination to secure marks :
Choices:
250
400
450
500
Answer: A
Question: When divided by 5, x has a remainder of 3 and y has a remainder of 2. Which of the following could be the remainder when x + y is divided by 10?
Choices:
7
8
9
0
Answer: D
Question: The cost price of a radio is Rs.1500 and it was sold for Rs.1230, find the loss %?
Choices:
18%
17%
78%
28%
Answer: A
Question: Two circular signs are to be painted. If the diameter of the larger sign is six times that of the smaller sign, how many times more paint is needed to paint the larger sign? (We can assume that a given amount of paint covers the same area on both signs.)
Choices:
12
24
36
48
Answer: C
Question: A cube of edge 5cm is immersed completely in a rectangular vessel containing water. If the dimensions of the base of vessel are 10cm * 5cm , find the rise in water level?
Choices:
2.5cm
5cm
6.43cm
7.56cm
Answer: A
Question: A baker filled with a measuring cup with 1/4 cup water. He poured 1/2 of the water into the batter, and then spilled 1/8 of the water on the floor. How much water will the baker needed to add what is left in the cup to have 50% more than what he started with?
Choices:
3/8 cup
1/4 cup
1/2 cup
7/8 cup
Answer: A
Question: If two positive numbers are in the ratio 1/8 : 1/5, then by what percent is the second number more than the first?
Choices:
70%.
60%.
68%.
80%.
Answer: B
Question: A shopkeeper sold 8articles at the cost price of 10 articles. Then find the profit% or lost%
Choices:
25%
20%
30%
50%
Answer: A
Question: Compound interest earned on a sum for the second and the third years are Rs.1200 and Rs.1440 respectively. Find the rate of interest?
Choices:
88% p.a
20% p.a
66% p.a
44% p.a
Answer: B
Question: A certain rectangular window is (1/3) times as long as it is wide. If its perimeter is 28 feet, what are its dimensions in terms of length by width?
Choices:
11 by 3
10.5 by 3.5
10 by 4
9 by 3
Answer: B
Question: In how many years Rs 100 will produce the same interest at 5% as Rs. 200 produce in 2 years at 10%
Choices:
8
9
12
11
Answer: A
Question: 5400 ÷ 9 ÷ 3 = ?
Choices:
900
450
300
None of these
Answer: D
Question: A committee of three students has to be formed. There are seven candidates: Jane, Joan, Paul, Stuart, and Jessica. If Paul and Stuart refuse to be in the committee together and Jane refuses to be in the committee without Paul, how many committees are possible?
Choices:
4
5
6
8
Answer: D
Question: A library has an average of 600 visitors on Sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is:
Choices:
260
300
285
None
Answer: B
Question: What is the length of the longest pole which can be kept in a room 12 m long, 4 m broad and 3 m high?
Choices:
9
11
13
None
Answer: C
Question: At the faculty of Aerospace Engineering, 312 students study Random-processing methods, 222 students study Scramjet rocket engines and 112 students study them both. If every student in the faculty has to study one of the two subjects, how many students are there in the faculty of Aerospace Engineering?
Choices:
452
444
468
422
Answer: D
Question: A shopkeeper buys two articles for Rs.1000 each and then sells them, making 15% profit on the first article and 15% loss on second article. Find the net profit or loss percent?
Choices:
768
150
280
279
Answer: B
Question: Find the invalid no.from the following series 2,3,12,37,86,166,288
Choices:
3
166
12
288
Answer: B
Question: The volumes of two cones are in the ratio 1 : 12 and the radii of the cones are in the ratio of 1 : 3. What is the ratio of their heights?
Choices:
A)3:4
C)2:2
D)2:1
E)2:9
Answer: A
Question: In a room there are 8 people. Each person shook hands with every other person. How many hand shakes were there?
Choices:
28
30
32
34
Answer: A
Question: The average (arithmetic man) of three integers a, b, and c is exactly four times the median. If a < b < c and a = 0, what is the value of c/b?
Choices:
3
4
11
Cannot be determined from the information given.
Answer: C
Question: If f(x)= 5x^2- 2x+6 and g(y)= 3y-4, then g(f(x))
Choices:
15x^2-6x+14
58x^2-4x+58
87x^2-5x+96
98x^2-7x+94
Answer: A
Question: In a village there are 150 men and 90 women in present time.if in next year population will be P=(a^2 +b^2)^1/2 , and in every year men are reduces 8%.what is population of after 2 year.
Choices:
141
142
143
144
Answer: C
Question: Ramesh spends 50% of his monthly salary on food, and saves 90% of the remaining amount. If his monthly salary is Rs.10,000, how much money does he save every month ?
Choices:
Rs. 4500
Rs.8000
Rs.3000
Rs.1000
Answer: A
Question: A rectangular room 14 m long, 12 m broad is surrounded by a varandah, 3 m wide. Find the area of the varandah?
Choices:
180
190
210
150
Answer: A
Question: What is the probability that a 3 person committee chosen at random from a group consisting of 6 men, 7 women, and 5 children contains exactly 1 woman?
Choices:
77/832
11/77
385/816
22/832
Answer: C
Question: If you multiply all the numbers on your mobile phone except 0, what is the answer?
Choices:
362880
125425
0
125826
Answer: A
Question: The variable x is inversely proportional to the square of the variable y. If y is divided by 2a, then x is multiplied by which of the following?
Choices:
1/4a^2
1/2a
4a
4a^2
Answer: D
Question: 9 spheres of the same size are made from melting a solid cylinder of 16 cm diameter and 12 cm height. What is the diameter of each sphere?
Choices:
6 cm
8 cm
10 cm
12 cm
Answer: B
Question: In how many ways Chief Minister and Minister be elected froma team of 12 members?
Choices:
128
132
146
147
Answer: B
Question: If 20% of a = b, then b% of 20 is the same as :
Choices:
4% of a
8% of a
10% of a
12% of a
Answer: A
Question: The greatest possible length which can be used to measure exactly the lengths 7 m, 3 m 85 cm, 12 m
95 cm is
Choices:
25cm
15cm
35cm
45cm
Answer: C
Question: The boat moves downside 100km and upside 20km in 2 hours each. Then find the boat speed in still water?
Choices:
25km/hr
30km/hr
20km/hr
40km/hr
Answer: B
Question: Find the odd man out
253, 136, 352, 326, 631, 244
Choices:
326
352
631
531
Answer: A
Question: When four fair dice are rolled simultaneously, in how many outcomes will at least one of the dice show 3?
Choices:
671
297
200
211
Answer: A
Question: Eight persons participated in a shooting competition. The top score in the competition is 85 points. Had the top score been 92 points instead of 85 points, the average score would have been 84. Find the number of points actually scored in the competition.
Choices:
655
665
636
656
Answer: B
Question: Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is
Choices:
5/12
5/15
5/14
5/11
Answer: A
Question: In May, Xiang sold 15 used cars. For these 15 cars, the range of the selling price was $15,000 and the lowest selling price was $4,500. In June, Xiang sold 10 used cars. For these 10 cars, the range of the selling prices was $16,500 and the lowest selling price was $6,500. What was the range of the selling prices of the 25 used cars sold by Xiang in May and June?
Choices:
2. $15,750
3. $16,820
4. $18,500
5. $19,200
Answer: C
Question: Three candidates contested an election and received 1130, 7630 and 15620 votes respectively. What percentage of the total votes did the winning candidate get?
Choices:
60%
64%
90%
80%
Answer: B
Question: What least value should be replaced by * in 2551112* so the number become divisible by 6
Choices:
4
5
6
7
Answer: A
Question: A new condo development is offering buyers the option to choose from 4 different counter top styles, 5 floor types and 4 colors of paint. In order to keep costs to the minimum, the buyer would like to choose from the lower cost options. In how many ways can 3 styles of counter tops, 2 colors floor types, and 3 colors of paint be selected from the given group?
Choices:
99 ways
80 ways
64 ways
12 ways
Answer: B
Question: An inspector rejects 0.08% of the meters as defective. How many will he examine to reject 2?
Choices:
1240
1852
3200
2500
Answer: D
Question: A certain sum of money is divided among A, B and C such that A gets one-third of what B and C together get and B gets two-seventh of what A and C together get. If the amount received by A is $30 more than that received by B, find the total amount shared by A, B and C.
Choices:
$1080
$1280
$1380
$1480
Answer: A
Question: How many prime numbers are between 51/13 and 89/9?
Choices:
1
2
3
4
Answer: B
Question: If the area of a square with sides of length 4 centimeters is equal to the area of a rectangle with a width of 4 centimeters, what is the length of the rectangle, in centimeters?
Choices:
8
12
4
18
Answer: C
Question: If 144/0.144 = 14.4/x, then the value of x is:
Choices:
1.44
0.0144
0.014
0.00144
Answer: B
Question: How much 45% of 60 is greater than 35% of 40?
Choices:
13
15
17
71
Answer: A
Question: For a certain alarm system, each code is comprised of 5 digits, but no digit can be used more than twice. How many codes can be made?
Choices:
60,480
91,440
98,240
101,040
Answer: B
Question: There are five newly appointed teachers in a college. The weight of first teacher is 200 kg and the weight of the 2nd teacher is 20% higher than the weight of the third teacher, whose weight is 25% higher than the first teacher's weight. The fourth teacher at 350 kgs is 30% lighter than the fifth teacher. Find the average weight of all the five teachers.
Choices:
320
240
260
270
Answer: A
Question: A professional athlete was offered a three-year contract to play with Team K that provided for an annual salary of $100,000 in the first year, an increase in annual salary of 20% over the previous year for the next two years, and a bonus of $50,000 on signing. Team L offered a three-year contract providing for an annual salary of $150,000 in the first year, an increase in annual salary of 20% over the previous year for the next two years, and no signing bonus. If he accepts the offer of Team L and fulfills the three-year contract terms, the athlete will receive how much more money by choosing Team L over Team K ?
Choices:
$132,000
$82,500
$92,000
$100,000
Answer: A
Question: What is the length of the longest pole which can be kept in a room 12 m long, 4 m broad and 3 m high?
Choices:
12 cm
15 cm
13 cm
16 cm
Answer: C
Question: The table below shows how many coaches work with each of the major sports teams at Kristensen School. Although no single coach works with all three teams, 3 coaches work with both the Track and Tennis teams, 2 coaches work with both the Track and Baseball teams, and 1 coach works with both the Tennis and Baseball teams. How many different coaches work with these three teams?
Sports No of coaches
Track 7
Tennis 5
Baseball 4
Choices:
10
11
12
17
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 5 times his original investment. What is the value of n?
Choices:
50 years
12 years 6 months
37 years 6 months
40 years
Answer: A
Question: John makes $40 a week from his job. He earns a raise and now makes $70 a week. What is the % increase?
Choices:
16.66%
18%
21%
75%
Answer: D
Question: Of the 20 guests at a party, 10 percent are women. How many men must leave in order to bring the number of women up to 50 percent of the guests?
Choices:
14
16
4
2
Answer: B
Question: The entire contents of a full sack of flour can be used to make 15 cupcakes and 10 pizzas. The same full sack of flour can be used to make 7 cupcakes and 14 pizzas. If a full sack of flour is used to make only pizzas, how many pizzas can be made?
Choices:
21 1/2
18 3/4
19
19 1/4
Answer: A
Question: A number consists of two digits. If 3/5 of 1/5 of the number is 9. Find the sum of its two digits?
Choices:
189
17
12
01
Answer: C
Question: Set S is the prime integers between 0 and 35. If three numbers are chosen randomly from set S, what is the probability that the sum of these three numbers is odd?
Choices:
3/8
15/28
8/11
3/4
Answer: C
Question: In wardrobe Karan has 3 trousers. One of them is grey the 2nd blue and the 3rd brown. In his wardrobe he also has 4 shirts. One of them is grey and the other 3are white. He opens his wardrobein the dark and pick out one shirttrouser pair without examination the color. What is the likelihood that neither the shirt nor the trouser is grey?
Choices:
1/2
4/5
6/11
4/5
Answer: A
Question: If 12 ounces of a strong vinegar solution are diluted with 50 ounces of water to form a five-percent vinegar solution, what was the concentration of the original solution?
Choices:
25.8%
16.67%
15.5%
12.5%
Answer: A
Question: Lucy deposited $62500 in an investment fund that provided 24 percent annual return compounded half yearly.If she made no other transactions with the fund, in how much time, in years, did her investment earn a total interest of $10400?
Choices:
1
3
6
6.1
Answer: A
Question: 10 men and 15 women together can complete a work in 6 days. It takes 100 days for one man alone to complete the same work. How many days will be required for one woman alone to complete the same work?
Choices:
125
145
225
None of these
Answer: C
Question: Find the no.of ways of arranging the boy and 8 guests at a circular table so that the boy always sits in a particular seat?
Choices:
8!
9!
12!
11!
Answer: A
Question: If the tens digit of positive integer x is 2 and the tens digit of positive integer y is 2, how many possible values of the tens digit of 2(x+y) can there be?
Choices:
3
4
5
6
Answer: B
Question: If a + b - c = 4d, and if a - b + c = 4e, then a =
Choices:
2(d + e)
3(d + e)/2
d-2e
e-d
Answer: A
Question: Rose is two years older than Bruce who is twice as old as Chris. If the total of the age of Rose, B and Chris be 47 years, then how old is Bruce ?
Choices:
18 years
12 years
13 years
14 years
Answer: A
Question: First train 108 m long moving at a speed of 50 km/hr crosses a second train 112 m long coming from opposite direction in 6 seconds. Find the speed of the second train ??
Choices:
82 km/hr
90 km/hr
60 km/hr
62 km/hr
Answer: A
Question: 445
2a3
+ 64b
+ c53
____
1892
If a and b represent positive single digits in the correctly worked computation above, what is the value of a + b + c ?
Choices:
7
9
11
12
Answer: D
Question: Bombay Express left Delhi for Bombay at 14:30hrs travelling at a speed of 60kmph and Rajdhani Express left Delhi for Bombay on the same day at 16:30hrs travelling at a speed of 80kmph. How far away from Delhi will the two trains meet
Choices:
360km
480km
500km
600km
Answer: B
Question: 20 liters of a mixture is created by mixing Liquid P and Liquid Q in the ratio 3:2. How many liters of Liquid Q must be added to make the ratio 4:3?
Choices:
1
5
7
9
Answer: A
Question: An accurate clock shows 8 o’clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 3 o’clock in the afternoon?
Choices:
90°
180°
210°
None of these
Answer: C
Question: Dacid obtained 45, 35, 52, 47 and 55 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?
Choices:
99
47
89
45
Answer: B
Question: Rates for having a manuscript typed at a certain typing service are $5 per page for the first time a page is typed and $3 per page each time a page is revised. If a certain manuscript has 200 pages, of which 80 were revised only once, 20 were revised twice, and the rest required no revisions, what was the total cost of having the manuscript typed?
Choices:
$1360
$1650
$680
$770
Answer: A
Question: In Sam's hanger there are 23 boxes, 18 out of the boxes are filled with toys and the rest are filled with electrical appliances. 8 boxes are for sale, 5 of them are filled with toys. How many boxes with electrical appliances are in Sam's hanger that is not for sale?
Choices:
2.
3.
4.
5.
Answer: A
Question: A, B and C enter into partnership. A invests 3 times as much as B invests and B invests two third of what C invests. At the end of the year, the profit earned is Rs. 8500. What is the share of B?
Choices:
1545.45
1545.42
1545.46
1545.43
Answer: A
Question: If @ is a binary operation defined as the difference between an integer n and the product of n and 5, then what is the largest positive integer n such that the outcome of the binary operation of n is less than 16?
Choices:
2
3
4
5
Answer: B
Question: Find avrg speed if a man travels at speed of 24km/hr up and 36km/hr dawn at an altitude of 200m.
Choices:
26.8
27.8
28.8
29.8
Answer: C
Question: The cost of 16 pens and 8 pencils is Rs.352 and the cost of 4 pens and 4 pencils is Rs.96. Find the cost of each pen?
Choices:
Rs.28
Rs.36
Rs.25
None of these
Answer: D
Question: 34.97 + 240.016 + 23.98 = ?
Choices:
298.966
289.496
289.469
298.964
Answer: A
Question: If 42.36 = k(14 + m/50), where k and m are positive integers and m < 50, then what is the value of k + m ?
Choices:
7
8
9
10
Answer: C
Question: A jar is filled of liquid which is 3 parts water and 5 parts alcohol. How much of this mixture should be drawn out and replaced such that this mixture may contain half
water and half alcohol?
Choices:
20%
14.29%
33.33%
None of these
Answer: A
Question: Siddharth wants to borrow Rs.7000 at rate of interest 6% p.a. at S.I and lend the same amount at C.I at same rate of interest for two years. What would be his income in the above transaction?
Choices:
s.21.29
s.22.29
s.21.26
s.25.20
Answer: D
Question: A merchant purchased a jacket for $60 and then determined a selling price that equalled the purchase price of the jacket plus a markup that was 25 percent of the selling price. During a sale, the merchant discounted the selling price by 20 percent and sold the jacket. What was the merchant’s gross profit on this sale?
Choices:
$3
$4
$12
$15
Answer: B
Question: A car traveled 75% of the way from town A to town B at an average speed of 50 miles per hour. The car travels at an average speed of S miles per hour for the remaining part of the trip. The average speed for the entire trip was 60 miles per hour. What is S ?
Choices:
150
250
300
237.5
Answer: A
Question: What is the year next to 1990 which will have the same calendar as that of the year 1990?
Choices:
2001
1995
1996
1997
Answer: A
Question: A meeting has to be conducted with 5 managers. Find the number of ways in which the managers be selected from among 9 managers, if 2 managers will not attend the meeting together?
Choices:
91
120
126
150
Answer: A
Question: If 4 (P's Capital ) = 6 ( Q's Capital ) = 10 ( R's Capital ) , then out of the total profit of Rs 4030 , R will receive
Choices:
780
800
900
None of these
Answer: A
Question: How many positive integers will divide evenly into 370?
Choices:
6
8
12
16
Answer: B
Question: A composer’s guild is planning its spring concert, and eleven pieces have been submitted for consideration. The director of the guild knows that they will only have time to present three of them. If the pieces can be played in any order, how many combinations of pieces are possible?
Choices:
165
154
512
126
Answer: A
Question: The cash difference between the selling prices of an article at a profit of 8% and 6% is Rs 3. The ratio of two selling prices is
Choices:
52:53
53:54
54:53
None of these
Answer: C
Question: A car travels from point A to point B. The average speed of the car is 60 km/hr and it travels the first half of the trip at a speed of 48 km/hr. What is the speed of the car in the second half of the trip?
Choices:
75
80
84
90
Answer: B
Question: The length of a train and that of a platform are equal. If with a speed of 126 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is?
Choices:
299
1050
750
211
Answer: B
Question: which of the following is a prime number ?
Choices:
17
15
20
25
Answer: A
Question: A man's regular pay is $3 per hour up to 40 hours. Overtime is twice the payment for regular time. If he was paid $180, how many hours overtime did he work?
Choices:
5
9
6
10
Answer: D