antoine-444/aqua_rat_dataset huggingface dataset:
Question: Two friends plan to walk along a 43-km trail, starting at opposite ends of the trail at the same time. If Friend P's rate is 15% faster than Friend Q's, how many kilometers will Friend P have walked when they pass each other?
Choices:
21.5
22
22.5
23
Answer: D
Question: In the coordinate plane, points (x, 1) and (5, y) are on line k. If line k passes through the origin and has slope 1/5, then what are the values of x and y respectively?
Choices:
1 and 5
5 and 1
3 and 5
5 and 3
Answer: B
Question: For all numbers p and q, the operation @ is defined by p@q = p^2 - pq. If xy ≠ 0, then which of the following can be equal to zero?
I. x@y
II. (xy)@y
III. x@(x + y)
Choices:
I and II
I and III
II and III
All of the above
Answer: A
Question: Carl is facing very difficult financial times and can only pay the interest on a $10,000 loan he has taken. The bank charges him a quarterly compound rate of 4%. What is the approximate interest he pays annually?
Choices:
$1600
$2150
$2500
$12000
Answer: A
Question: The speed at which a man can row a boat in still water is 25 kmph. If he rows downstream, where the speed of current is 11 kmph, what time will he take to cover 80 metres?
Choices:
27 seconds
26 seconds
12 seconds
8 seconds
Answer: D
Question: There are k-2 members in a certain band, including Jim and Ellen. Two members are to be selected to attend the Grammy awards ceremony. If there are 6 possible combinations in which Jim and Ellen are not selected, what is the value of k?
Choices:
8
10
11
12
Answer: A
Question: If (x^2 + 4x - 11)/5 ≤ x + 1, then x could be represented by which of the following?
Choices:
− 3 ≤ x ≤ 4
− 3 ≤ x ≤ 3
− 4 ≤ x ≤ − 3
3 ≤ x ≤ 4
Answer: A
Question: Find the smallest number of five digits exactly divisible by 22,33,66 and 44.
Choices:
11000
10110
10111
10100
Answer: D
Question: The entrance fee for a fair is $5 for persons under the age of 18, and 20% more for persons older. Each ride at the fair costs $0.50. If Joe goes with her 6 years old twin brothers, and they each took 3 rides in total. How much money does Joe end up spending at the fair?
Choices:
20.5
17.5
20
4.5
Answer: A
Question: If X and Y are digits and 8XY is a 3-digit number that is divisible by 2, which of the following is a possible product of X and Y?
Choices:
31
12
27
91
Answer: B
Question: If Tim had lunch at $50 and he gave 20% tip, how much did he spend?
Choices:
A)$60.00
C)$60.60
D)$21.56
E)$78.45
Answer: A
Question: Rs. 825 becomes Rs. 956 in 3 years at a certain rate of simple interest.If the rate of interest is increased by 4% ,What amount will Rs. 825 become in 3 years ?
Choices:
Rs. 1025
Rs. 1055
Data inadequate
None of these
Answer: B
Question: q is a positive integer and multiple of 2; p = 4^q, what is the remainder when p is divided by 10?
Choices:
6
4
0
It Cannot Be Determined
Answer: A
Question: If q is the square of a positive integer, which of the following must be equal to the square of the next positive integer?
Choices:
n + 1
n^2 + 1
q + 2√q + 1
n^2 + 2n + 1
Answer: C
Question: Rs. 5600 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/7:1/7:1/14?
Choices:
992
1120
552
312
Answer: B
Question: If a/b=3/4 and 8a+5b=22,then find the value of a.
Choices:
3/2
5/2
4/2
7/2
Answer: A
Question: Given that k/l < 1, and both k and l are positive integers, which one of the following must be greater than 1?
Choices:
k^2/l
k^2/l^2
l/k
√(k/l)
Answer: C
Question: Mike took 5 mock tests before appearing for the GMAT. In each mock test he scored 10 points more than the previous mock test. If he scored 760 on the GMAT and his average score for the mocks and the GMAT was 716.67, what was the difference in the score of his last mock and his GMAT score?
Choices:
32
40
50
60
Answer: A
Question: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of number is?
Choices:
50
65
78
64
Answer: A
Question: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance?
Choices:
55 km
52 km
60 km
50 km
Answer: D
Question: The first five numbers in a regular sequence are 4, 10, X, 46, and 94. What is x ?
Choices:
26
30
22
24
Answer: C
Question: Tim has 350 pounds of cement in 100, 50, and 25 pound bags. He has an equal number of each size bag. How many bags of cement does Tim have?
Choices:
4
6
8
10
Answer: B
Question: What is the least value of x, So that 2x5475 is divisible by 9
Choices:
8
4
3
2
Answer: B
Question: Square P is inscribed in circle Q. If the perimeter of P is 40, what is the circumference of Q?
Choices:
10√ 2π
9√ 2π
8√ 2π
7√ 2π
Answer: A
Question: A debtor reached an agreement with his creditor to repay a loan by making a monthly payment which is double of the amount she paid the previous month. If the debtors first payment was $200, and he is expected to pay back 51200, how many months will it take to fully repay the loan?
Choices:
9
9
12
10
Answer: A
Question: As a bicycle salesperson, James earns a fixed salary of $30 per week plus $6 per bicycle for the first 6 bicycles he sells, $12 per bicycle for the next 6 bicycles he sells, and $18 per bicycle for every bicycle sold after first 12. This week, he earned more than twice as much as he did last week. If he sold x bicycles last week and y bicycles this week, which of the following statements must be true?
I. y<2x
II. y>x
III. y>3
Choices:
I only
II,III only
II only
III only
Answer: B
Question: A school currently maintains a fixed number of students per class. If the ratio of students per class were to be increased by 1, 10 fewer classes would be run for a total of 120 students. What is the current ratio Q of students per class?
Choices:
Q=3
6
8
12
Answer: A
Question: A survey reveals that the average income of a company’s customers is $45,000 per year. If 50 customers respond to the survey and the average income of the wealthiest 10 of those customers is $95,000, what is the average income of the other 40 customers?
Is there a way to solve this using weighted average concept instead of doing tedious calculations?
Choices:
$32,500
$37,500
$42,500
$50,000
Answer: A
Question: The slant height of a cone is 35 cm and radius of the base is 14cm, find the curved surface of the cone.
Choices:
1780
1540
1500
6100
Answer: B
Question: A cheese factory sells its cheese in rectangular blocks. A normal block has a volume of 8 cubic feet. If a small block has half the width, half the depth, and half the length of a normal block, what is the volume of cheese in a small block in cubic feet?
Choices:
1
4
6
2
Answer: A
Question: In a new housing development, trees are to be planted along the sidewalk of a certain street. Each tree takes up one square foot of sidewalk space, and there are to be 20 feet between each tree. How many trees can be planted if the road is 148 feet long?
Choices:
8
10
11
16
Answer: A
Question: What will be the difference in simple and compound interest on 2000 after three years at the rate of 10 percent per annum?
Choices:
42
62
20
None of these
Answer: B
Question: A $500 investment and a $1,500 investment have a combined yearly return of 19 percent of the total of the two investments. If the $500 investment has a yearly return of 7 percent, what percent yearly return does the $1,500 investment have?
Choices:
10%
23%
21%
22%
Answer: B
Question: Find the constant k so that : -x2 - (k + 11)x - 8 = -(x - 2)(x - 4)
Choices:
12
17
14
15
Answer: B
Question: A positive whole number has factors of 3 and 5. The number MUST be divisible by: I. 15 II. 30 III. 60
Choices:
III
I & III
II & III
II
Answer: A
Question: Krishan and Nandan jointly started a business. Krishan invested six times as Nandan did and invested his money for double time as compared to Nandan. Nandan earned Rs. 6000. If the gain is proportional to the money invested and the time for which the money is invested then the total gain was?
Choices:
Rs.78000
Rs.6000
Rs.82000
Rs.32000
Answer: A
Question: There are 8 players in a chess group, and each player plays each of the others once. Given that each game is played by two players, how many total games will be played?
Choices:
30
28
60
90
Answer: B
Question: A pipe takes a hours to fill the tank. But because of a leakage it took 2 times of its original time. Find the time taken by the leakage to empty the tank
Choices:
60 min
90 min
80 min
120 min
Answer: D
Question: Today is 22 days before Mariah's graduation. If she graduates on a Friday, what day of the week is it today?
Choices:
Friday
Tuesday
Thursday
Sunday
Answer: C
Question: Suppose a, b, and c are positive integers with a < b < c such that
1/a
+
1/b
+
1/c
= 1. What is
a + b + c?
Choices:
4
9
11
no such integers exist
Answer: C
Question: The age of man is three times the sum of the ages of his two sons.Four years hence,his age will be double of the sum of the ages of his sons.The fatherâ€™s present age is :
Choices:
36 years
50 years
55 years
75 years
Answer: A
Question: A bottle of coke contains 200gm in place of 1kg of fluid. Find the actual % difference, given a 10% gain on initial fluid?
Choices:
112.5%
35%
40%
50%
Answer: A
Question: A person can walk at a constant rate of 8mph and can bike at a rate of 16mph. If he wants to travel 64 miles in 8 hours using bike and walking at their constant rates, how much distance would he require to walk?
Choices:
30
48
64
72
Answer: C
Question: 5358 x 51 = ?
Choices:
273258
273348
273358
None of these
Answer: A
Question: 3 persons (1 couple and 1 single) are seated at random in a row of 5 chairs. What is the probability that the couple does not sit together?
Choices:
4/5
2/5
3/5
11/8
Answer: C
Question: In a recent survey at a local deli, it was observed that 3 out of 5 customers bought a bagel and 5 out of 7 customers bought a coffee. Some customers bought both. If 8 customers are selected, what are the chances that at least 1 customer bought a coffee and a bagel?
Choices:
3/7
27/125
199/245
9/125
Answer: C
Question: |x+3| – |4-x| = |8+x| How many S solutions will this equation have?
Choices:
0
2
3
4
Answer: A
Question: The output of a factory was increased by 10% to keep up with rising demand. To handle the holiday rush, this new output was increased by 20%. By approximately what percent would the output now have to be decreased in order to restore the original output?
Choices:
24%
30%
32%
79%
Answer: A
Question: In a graduate physics course, 70 percent of the students are male and 30 percent of the students are married. If two-sevenths of the male students are married, what fraction of the male students is single?
Choices:
1/3
1/2
2/3
5/7
Answer: D
Question: The cost of painting the whole surface area of a cube at the rate of 13 paise per Sq.cm is Rs. 343.98. Then the volume of the cube is
Choices:
9000 cm3
9250 cm3
9261 cm3
None
Answer: C
Question: A man sold 20 articles for $60 and gained 20%. How many articles should he sell for $50 to incur a loss 20%?
Choices:
25
40
50
48
Answer: A
Question: A man invests some money partly in 9% stock at 96 and partly in 12% stock at 120. To obtain equal dividends from both, he must invest the money in the ratio:
Choices:
2:1
16:15
4:5
None of these
Answer: B
Question: A, B, C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much must C pay as his share of rent?
Choices:
Rs. 45
Rs. 55
Rs. 60
Rs. 65
Answer: A
Question: A train 500 m long can cross an electric pole in 20 sec and then find the speed of the train?
Choices:
90 Kmph
92 Kmph
95 Kmph
98 Kmph
Answer: A
Question: The smallest number when increased by " 1 " is exactly divisible by 6,9,15,35,45 is:
Choices:
630
359
629
600
Answer: C
Question: How many keystrokes are needed to type the numbers from 1 to 500?
Choices:
1392
1480
1562
1788
Answer: A
Question: In a two-digit number, the digit in the unit's place is four times the digit in ten's place and the sum of the digits is equal to 10. What is the number?
Choices:
41
14
56
28
Answer: D
Question: The edge of a cube is 7a cm. Find its surface?
Choices:
24a4
24a1
24a2
294a2
Answer: D
Question: A shop sells chocolates It is used to sell chocolates for Rs.2 each but there were no sales at that price.When it reduced the price all the chocolates sold out enabling the shopkeeper to realize Rs 164.90 from the chocolates alone If the new price was not less than half the original price quoted How many chocolates were sold?
Choices:
1.7
1.2
1.5
1.6
Answer: A
Question: A board 7ft. 9 inches long is divided into 3 equal parts . What is the length of each part?
Choices:
31 inches
33 inches
34 inches
35 inches
Answer: A
Question: Find the number of zeroes in the expression 15*32*25*22*40*75*98*112*125
Choices:
9
14
7
6
Answer: A
Question: The diagonals of a rhombus are 18 cm and 22 cm. Find its area?
Choices:
266
198
288
212
Answer: B
Question: If rupee one produces rupees nine over a period of 40 years, find the rate of simple interest?
Choices:
22 3/2 %
28 1/2 %
22 1/2 %
32 1/2 %
Answer: C
Question: A and B invests Rs.6000 and Rs.12000 in a business. After 4 months, A withdraws half of his capital and 2 months later, B withdraws one-third of his capital. In what ratio should they share the profits at the end of the year?
Choices:
8:21
32:45
34:89
35:21
Answer: A
Question: A train covers a distance of 10km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is?
Choices:
m
m
m
m
Answer: B
Question: The rental charge for a car is 34 cents for the first 1/4 mile driven and 6 cents for every 1/5 mile driven over the initial 1/4 mile. If a man paid $1.24 in rental charges, how many miles did he drive?
Choices:
3.0
3.25
3.75
4.0
Answer: B
Question: A question paper consists of three sections 4,5 and 6 questions respectively. Attempting one question from each section is compulsory but a candidate need not attempt all the questions. In how many ways can a candidate attempt the questions?
Choices:
(4!-1)*(5!-1)*(6!-1)
119
29295
None
Answer: C
Question: 10 women can complete a work in 9 days and 10 children take 12 days to complete the work. How many days will 6 women and 7 children take to complete the work?
Choices:
5
7
8
2
Answer: C
Question: Three numbers are in the ratio 5 : 6 : 7. The sum of its longest and smallest numbers equals the sum of the third number and 54. Find the third number?
Choices:
B)85
C)48
D)43
E)54
Answer: D
Question: At the end of a business conference the nine people present all shake hands with each other once. How many handshakes will there be altogether ?
Choices:
45
36
90
95
Answer: B
Question: Sum of the squares of three numbers is 351 and the sum of their products taken two at a time is 245. Find the sum?
Choices:
22
25
26
29
Answer: D
Question: What is the are of an equilateral triangle of side 16 cm?
Choices:
64√3 cm2
64√9 cm2
34√3 cm2
24√3 cm2
Answer: C
Question: Each of the following equations W has at least one solution EXCEPT
Choices:
W=–2^n = (–2)^-n
2^n = (–2)^-n
(–2)^n = –2^n
(–2)^-n = –2^-n
Answer: A
Question: If the population of a certain country increases at the rate of one person every 40 seconds, by how many persons does the population increase in 1 hour?
Choices:
90
150
180
160
Answer: A
Question: A train crosses a platform of 120 m in 15 sec, same train crosses another platform of length 180 m in 18 sec. then find the length of the train?
Choices:
180
288
277
265
Answer: A
Question: Find the area of a rhombus whose side is 25 cm and one of the diagonals is 30 cm?
Choices:
267 sq.cm
286 sq.cm
251 sq.cm
600 sq.cm
Answer: D
Question: How long does a train 110 m long running at the speed of 72 km/hr takes to cross a bridge 132 m length?
Choices:
12.1 sec
12.2 sec
12.6 sec
11.1 sec
Answer: A
Question: The consumption of diesel per hour of a bus varies directly as square of its speed. When the bus is travelling at 60 kmph its consumption is 1 litre per hour. if each litre costs $60 and other expenses per hous is $ 60, then what would be the minimum expenditure required to cover a distance of 600 Km?
Choices:
1250
1200
1100
1150
Answer: B
Question: From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. What is the probability of having 0 woman in committee ?
Choices:
9/144
1/36
1/18
5/18
Answer: B
Question: A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that exactly three bulbs are good.?
Choices:
20/63
20/65
20/61
20/62
Answer: A
Question: A train passes a station platform in 32 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
Choices:
240
887
166
180
Answer: D
Question: If |w|=−w, which of the following must be true?
Choices:
w≤0
x2>x
x3<0
2x<x
Answer: A
Question: Two numbers are less than third number by 30% and 37% respectively. How much percent is the second number less than by the first
Choices:
9%
10%
11%
12%
Answer: B
Question: How many numbers from 39 to 79 are exactly divisible by 11?
Choices:
7
4
11
12
Answer: B
Question: It is found that the volume of a cube is numerically equal to its surface area. Then the measure of its edge in meters is:
Choices:
6
8
9
cannot be determined
Answer: A
Question: if there are 30 cans out of them one is poisned if a person tastes very little he will die within 14 hours so if there are mice to test and 24 hours to test, how many mices are required to find the poisned can?
Choices:
2
6
1
7
Answer: C
Question: How long does a train 165 meters long running at the rate of 72 kmph take to cross a bridge 660 meters in length?
Choices:
41.25
55
18
12
Answer: A
Question: A particular store purchased a stock of turtleneck sweaters and marked up its cost by 20%. During the New Year season, it further marked up its prices by 25% of the original retail price. In February, the store then offered a discount of 15%. What was its profit on the items sold in February?
Choices:
27.5%
35%
37.5%
40%
Answer: A
Question: Half of 2 percent written as decimal is
Choices:
0.01
0.05
0.005
None of these
Answer: A
Question: If books bought at prices ranging from Rs. 98 to Rs. 195 are sold at prices ranging from Rs. 120 to Rs 215, what is the greatest possible profit that might be made in selling 13 books ?
Choices:
Rs. 3000
Rs. 1521
Rs. 1400
Rs. 1560
Answer: B
Question: Two trains A and B starting from two points and travelling in opposite directions, reach their destinations 9 hours and 4 hours respectively after meeting each other. If the train A travels at 60kmph, find the rate at which the train B runs.
Choices:
90
120
80
100
Answer: A
Question: I bought three toys for my triplet boys (one for each). I placed the toys in the dark store. One by one each boy went to the store and pick the toy. What is the probability that no boy will choose his own toy?
Choices:
1/3
3/3
4/3
5/3
Answer: A
Question: A man, a woman and a boy can complete a job in 3 days, 4 days and 12 days respectively. How many boys must assist 1 man and 1 woman to complete the job in 1/4th of a day?
Choices:
41
31
21
22
Answer: A
Question: At present, the ratio between the ages of Amit and Dhiraj is 5 : 4. After 6 years, Amit’s age will be 26 years. What is the age of Dhiraj at present?
Choices:
16
566
197
161
Answer: A
Question: A and B invests Rs.3000 and Rs.4000 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that year's profit?
Choices:
9:8
9:1
9:9
9:5
Answer: A
Question: If x-y=10, which of the following must be true?
I. Both x and y are positive
II. If x is negative, y must be negative
III.If x is positive, y must be positive
Choices:
II only
III only
I and II
II and III
Answer: A
Question: If each side of a square is increased by 25%, find the percentage change in its area?
Choices:
56.25
65
56
25
Answer: A
Question: If the sum and difference of two numbers are 20 and 8 respectively, then the difference of their square is:
Choices:
28
160
180
18
Answer: B
Question: If $500 is deposited into a savings account at an annual interest rate of 5% that compounds monthly, what is the value of the investment after 10 years?
Choices:
$823.50
$973.25
$1000.25
$1100.00
Answer: A
Question: Two jars contain milk and water in the ratio 5: 4 and 2: 1 regpectively. What volume should be taken out from the first jar if volumes have to be taken out from both jars so as to fill up a third 30 l jar with milk to water in the ratio 1: 1 ?
Choices:
15 l
22.5 l
It is impossible
none of these
Answer: C
Question: A clock shows the time as 9 a.m. If the minute hand gains 5 minutes every hour, how many minutes will the clock gain by 5 p.m.?
Choices:
35 min
45 min
40 min
55 min
Answer: C
Question: At a Supermarket a certain item has increased from 72 cents per pound to 78 cents per pound. What is the % increase in the cost of item?
Choices:
7.22%
8.33%
8%
7%
Answer: B
Question: How many positive 5-digit integers have the odd sum E of their digits?
Choices:
9*10^3
10^4
45*10^3
9*10^4
Answer: C
Question: There are different 15 circles. What is the number of the greatest possible points with which the circles intersect?
Choices:
100
110
180
210
Answer: D
Question: B completes a work in 9 days. A alone can do it in 10 days. If both work together, the work can be completed in how many days?
Choices:
4.73 days
5.75 days
6.75 days
7.73 days
Answer: A
Question: A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?
Choices:
1/4
1/5
1/7
1/8
Answer: B
Question: A car is running at a speed of 96kmph. What distance will it cover in 14sec?
Choices:
378m
380m
200m
250m
Answer: A
Question: The average of 6 observations is 11. A new observation is included and the new average is decreased by 1. The seventh observation is?
Choices:
4
5
6
7
Answer: A
Question: The population of a town increased from 1,75,000 to 2,62,500 in a decade. The average percent increase of population per year is :
Choices:
5%
6%
8.75%
None of these
Answer: A
Question: If a + b = y and a - b = z , then 3ab =
can someone explain!
Choices:
(3y^2 - 3z^2)/4
3y+3z/2
3y - 3z/2
3y^2 - 3z^2/2
Answer: A
Question: If two numbers are in the ratio 2:3. If 10 is added to both of the numbers then the ratio becomes 3:4 then find the smallest number?
Choices:
18
20
24
26
Answer: B
Question: A batsman in his 12th innings makes a score of 65 and thereby increases his average by 2 runs. What is his average after the 12th innings if he had never been ‘not out’?
Choices:
43
44
45
46
Answer: A
Question: In a division sum, the remainder is 6 and the divisor is 5 times the quotient and is obtained by adding 7 to the thrice of the remainder. The dividend is
Choices:
78
86
92
106
Answer: D
Question: The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 55 kg. What might be the weight of the new person?
Choices:
75kg
80kg
85kg
90kg
Answer: A
Question: Amy has to visit towns B and C in any order. The roads connecting these towns with her home are shown on the diagram. How many different routes can she take starting from A and returning to A, going through both B and C (but not more than once through each) and not travelling any road twice on the same trip?
Choices:
8
6
4
2
Answer: A
Question: Incomes of two companies A and B are in the ratio of 5 : 8. Had the income of company A been more by 25 lakh, the ratio of their incomes would have been 5 : 4. What is the income of company B?
Choices:
50 lakh
40 lakh
60 lakh
None of these
Answer: B
Question: The area of a triangle will be when a = 1m, b = 2m, c = 3m, a, b, c being lengths of respective sides.
Choices:
0 sq m
9 sq m
20 sq m
5 sq m
Answer: A
Question: P and Q started a business investing Rs. 85,000 and Rs. 30,000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively?
Choices:
17:6
17:4
17:2
17:3
Answer: A
Question: A and B are playing mathematical puzzles. A asks B "which whole numbers, greater than one, can divide all the nine three digit numbers 111,222,333,444,555,666, 777,888 and 999?"
B immediately gave the desired answer. It was :-
Choices:
3, 37 and 111
9, 37 and 111
3, 9 and 37
None
Answer: A
Question: A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 700 m long?
Choices:
190 Sec
187 Sec
286 Sec
215 Sec
Answer: A
Question: In how many different ways can the letters of the word ‘ARMOUM’ be arranged?
Choices:
210
230
250
360
Answer: D
Question: Which digits should come in place of @ and # if the number 62684@# is divisible by both 8 and 5?
Choices:
4,0
4,4
0,0
None
Answer: A
Question: A train 125 m long passes a man, running at 1 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?
Choices:
17 km/hr
76 km/hr
50 km/hr
46 km/hr
Answer: D
Question: A work which could be finished in 8 days was finished 3 days earlier after 10 more men joined. The number of men employed was?
Choices:
30
88
71
11
Answer: A
Question: Each digit in the two-digit number G is halved to form a new two-digit number H. Which of the following could be the sum of G and H
Choices:
159
137
121
89
Answer: A
Question: The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is:
Choices:
2
7
8
1
Answer: A
Question: Renu can do a piece of work in 8 days, but with the help of her friend Suma , she can do it in 4 days. In what time Suma can do it alone?
Choices:
8
14
15
17
Answer: A
Question: There are 4 people who has to cross a stretch of 300 km. They normally run at a speed of 10 kmph. One
of them has a bike that travels at 50 kmph. The bike first takes one person alone and crosses the
stretch while the other two keep running. Then he comes back without wasting time and picks up
another person from the way, drives him across the stretch, and does the same for the last person. How
long does this whole process take?
Choices:
16 hrs
56/3 hrs
58/3 hrs
18 hrs
Answer: C
Question: The security gate at a storage facility requires a Six-digit lock code. If the lock code must consist only of digits from 1 through 9, inclusive, with no repeated digits, and the first and last digits of the code must be odd, how many lock codes are possible?
Choices:
240
360
720
16800
Answer: D
Question: If by selling an article for Rs.60, a person loses 1/7 of money, what would he have gained or lost % by selling it for Rs.77?
Choices:
10%
20%
30%
45%
Answer: A
Question: If a light flashes every 6 seconds, how many times will it flash in ¾ of an hour?
Choices:
451 times
838 times
436 times
435 times
Answer: A
Question: Revenues were recorded for Store A and Store B over a period of three months. In the first month, Store A's revenues were $40,000 higher than Store B's revenues. In the second month, Store A's revenues were $6,000 higher than Store B's revenues. If Store A's average (arithmetic mean) monthly revenue for the three months was $2,000 greater than Store B's average monthly revenue, then Store B's revenue in the third month was how much greater than Store A's revenue?
Choices:
$40,000
$42,000
$46,000
$50,000
Answer: A
Question: some digits were given like 0 2 2 3 3 4 4 then how many no will be there which is greater than 1 lac ,all numbers are distinct
Choices:
540
550
560
570
Answer: A
Question: A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is:
Choices:
698
675
688
900
Answer: A
Question: Each of the following equations has at least one solution EXCEPT D. Is it true?
Choices:
2*a = (–2)*-a
-4*a = -3-a
-3*a = -3-a
(–2)-a = –2-a
Answer: C
Question: 10 people went to a hotel for combine dinner party 5 of them spent Rs. 20 each on their dinner and rest spent 4 more than the average expenditure of all the 10. What was the total money spent by them.
Choices:
1534
1492
240
None of these
Answer: C
Question: If x is the product of the integers from 1 to 150, inclusive, and 5^y is a factor of x, what is the greatest possible value of y ?
Choices:
34
36
37
39
Answer: C
Question: Product M is produced by mixing chemical X and chemical Y in the ratio of 5 : 4. Chemical X is prepared by mixing two raw materials, A and B, in the ratio of 1 : 3. Chemical Y is prepared by mixing raw materials, B and C, in the ratio of 2 : 1. Then the final mixture is prepared by mixing 864 units of product M with water. If the concentration of the raw material B in the final mixture is 50%, how much water had been added to product M?
Choices:
368 units
392 units
616 units
None of the above
Answer: A
Question: In a 4 person race, medals are awarded to the fastest 3 runners. The first-place runner receives a gold medal, the second-place runner receives a silver medal, and the third-place runner receives a bronze medal. In the event of a tie, the tied runners receive the same color medal. (For example, if there is a two-way tie for first-place, the top two runners receive gold medals, the next-fastest runner receives a silver medal, and no bronze medal is awarded). Assuming that exactly three medals are awarded, and that the three medal winners stand together with their medals to form a victory circle, how many Z different victory circles are possible?
Choices:
52
96
144
648
Answer: A
Question: X completes a work in 20 days and Y complete the same work in 30 days. If both of them work together, then the number of days required to complete the work will be?
Choices:
12 days.
14 days.
8 days.
20 days.
Answer: A
Question: A chair is bought for Rs.300/- and sold at Rs.420/- find gain or loss percentage
Choices:
40% gain
25% gain
30% gain
35% gain
Answer: A
Question: What is the least number to be subtracted from 696 to make it a perfect square?
Choices:
16
20
71
60
Answer: B
Question: There are 8 books on a shelf, of which 2 are paperbacks and 6 are hardbacks. How many possible selections of 3 books from this shelf include at least one paperback?
Choices:
b) 45
c) 36
d) 55
e) 60
Answer: B
Question: If a sum of money doubles itself in 20 years at simple interest, the ratepercent per annum is
Choices:
12.5
13
5
14
Answer: C
Question: In a fuel station the service costs $1.15 per car, every liter of fuel costs 0.4$. Assuming that you own 2 sports cars and 2 executive cars and all fuel tanks are empty. How much will it cost to fuel all cars together if a sports car tank is 32 liters and an executive car tank is 75% bigger?
Choices:
75$
87.5$
94.5$
98.4$
Answer: A
Question: Choose the missing terms out of the given alternatives.
AZ, BY, CX, DW ?
Choices:
GH
EV
DW
KN
Answer: B
Question: Company Z spent 1/4 of its revenues last year on marketing and 1/7 of the remainder on maintenance of its facilities. What fraction of last year’s original revenues did company Z have left after its marketing and maintenance expenditures?
Choices:
1/2
17/28
9/14
9/11
Answer: C
Question: A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Choices:
40 sec
45 sec
48 sec
58 sec
Answer: A
Question: What is the scope including 1/21+1/22+1/23+......+1/30?
Choices:
1/5~1/4
1/4~1/3
1/3~1/2
1/2~1
Answer: C
Question: Company A has 13 employees, 9 of whom belong to the union. If 5 people work any one shift, and the union contract specifies that at least 4 union members work each shift, then how many different combinations of employees might work any given shift?
Choices:
231
336
350
756
Answer: D
Question: A bag contains 5 red, 2 green balls. 3 balls are drawn randomly. What is the probability that balls drawn contain exactly two green balls?
Choices:
1/7
3/11
4/17
2/3
Answer: A
Question: A woman complete a journey in 20 hours. She travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.
Choices:
216 km.
314 km.
448 km.
544 km.
Answer: C
Question: The average height in a group of 4 people is 175 cm. If the average height increased when 2 more people were added to the group, which of the following cannot be the heights of the two new people?
Choices:
181 cm and 169 cm
173 cm and 178 cm
176 cm and 176 cm
174 cm and 177 cm
Answer: A
Question: The sum of the present ages of two persons A and B is 60. If the age of A is twice that of B, find the sum of their ages 5 years hence?
Choices:
70
60
65
80
Answer: A
Question: Find the number which when multiplied by 15 is increased by 196.
Choices:
14
26
28
30
Answer: A
Question: A number X equals 80% of the average of 5, 7, 14 and a number Y. If the average of X and Y is 26, the value of Y is?
Choices:
26
39
36
None of these
Answer: B
Question: A man covers a distance on scooter. Had he moved 3kmph faster he would have taken 40 min less. If he had moved 2kmph slower, he would have taken 40min more. The distance is.
Choices:
40 km
45 km
50 km
55 km
Answer: A
Question: The number of livestock in a farm at the beginning of year 2000 was 130,000. During the year, the number increased by p%. During the next year 2001, there was a famine and the number decreased by q%. A census at the end of year 2001 revealed that the number of livestock in the farm was 130,000. Which of the following expressions is correct?
Choices:
q > p
p = q
p > q
There is no relation between p and q
Answer: C
Question: If 3 men or 4 women can reap a field in 10 days how long will 5 men and 6 women take to reap it?
Choices:
19/60
2/3
5/18
6/24
Answer: A
Question: What is the greatest possible value of integer n if 100! is divisible by 15^n
Choices:
21
22
23
24
Answer: D
Question: Find the invalid no.from the following series 15, 16, 34, 105, 424, 2124, 12756
Choices:
16
34
105
2124
Answer: D
Question: On Monday, a certain animal shelter housed 45 cats and dogs. By Friday, 1/5 of the cats and 1/4 of the dogs had been adopted; no new cats or dogs were brought to the shelter during this period. What is the greatest possible number of pets that could have been adopted from the animal shelter between Monday and Friday?
Choices:
11
12
13
14
Answer: A
Question: A shopkeeper gave an additional 20 per cent concession on the reduced price after giving 30 per cent standard concession on an article. If Arun bought that article for 1,120, what was the original price?
Choices:
4,000
2,400
2,000
None of these
Answer: C
Question: The total age of A and B is 10 years more than the total age of B and C. C is how many years younger than A.?
Choices:
12
10
20
10
Answer: B
Question: In an election between two candidates, 10% of votes are were declares invalid. First candidate got 3600 votes which were 60% of the total valid votes . The total number of votes enrolled in that election was:
Choices:
98000
20000
11000
12000
Answer: B
Question: Find a 8 digit number that if multiplied by the number 9 or any of its multiplications products (18, 27, 36, 45,..) will result in the multiplication factor repeated (n) number of times.
Choices:
12345679
22347379
52345673
21345679
Answer: A
Question: A and B invests Rs.3000 and Rs.7000 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that year's profit?
Choices:
9:8
9:14
9:9
9:5
Answer: B
Question: A man saves 20% of his monthly salary. If an account of dearness of things he is to increase his monthly expenses by 20%, he is only able to save Rs. 200 per month. What is his monthly salary?
Choices:
5000
2779
6257
5362
Answer: A
Question: A boat covers a certain distance downstream in 1 hour, while it comes back in 11â„2 hours. If the speed of the stream be 3 kmph, what is the speed of the boat in still water?
Choices:
16 kmph
19 kmph
15 kmph
14 kmph
Answer: C
Question: A and B invests Rs.4000 and Rs.6000 in a business. After 4 months, A withdraws three-fourth of his capital and 4 months later, B withdraws half of his capital. In what ratio should they share the profits at the end of the year?
Choices:
2:5
4:5
3:7
5:7
Answer: A
Question: 0.5, 0.55, 0.65, 0.8, ?
Choices:
0.9
0.95
1
2
Answer: C
Question: If 15 women or 10 men can complete a project in 55 days, in how many days will 5 women and 4 men working together complete the same project ?
Choices:
75
9
85
None of these
Answer: A
Question: If n is a positive integer and n^2 is divisible by 450, then what is the largest positive integer that must divide n?
Choices:
20
30
40
50
Answer: B
Question: Two pipes A and B can separately fill a cistern in 10 and 15 minutes respectively. A person opens both the pipes together when the cistern should have been was full he finds the waste pipe open. He then closes the waste pipe and in another 4 minutes the cistern was full. In what time can the waste pipe empty the cistern when fill?
Choices:
8
7
4
1
Answer: A
Question: A certain club has 14 members, including Harry. One of the 14 members is to be chosen at random to be the president, one of the remaining 13 members is to be chosen at random to be the secretary, and one of the remaining 12 members is to be chosen at random to be the treasurer. What is the probability that Harry will either be the secretary or the member chosen to be the treasurer?
Choices:
4/7
3/7
1/7
2/7
Answer: C
Question: Afreena walks 8 km towards East and then walks 13 km back, then she turns left and walks 4 km; then walks 5 km after turning left; she turns left again and walks 3 km. How far is she from the starting point ?
Choices:
2 km
1 km
6 km
7 km
Answer: B
Question: A coed soccer team has W women and M men on the team. If 4 women and 2 men are added to the team roster, and if one person on the team is selected at random to serve as team captain, then the probability that the team captain will be a woman can be represented as
Choices:
(W + 4)/(W + M + 6)
(W + 4)/(M + 2)
(W + 4)/(W + M)
W/M
Answer: A
Question: A man is 30 years older than his son. In two years, his age will be twice the age of his son. The present age of the son is
Choices:
28 years
20 years
22 years
None
Answer: A
Question: Chris mixed 3 pounds of raisins with 3 pounds of nuts. If a pound of nuts costs 3 times as much as a pound of raisins, then the total cost of the raisins was what fraction of the total cost of the mixture?
Choices:
1/5
1/4
1/3
3/7
Answer: B
Question: If 2^(2w) = 8^(w−2), what is the value of w?
Choices:
6
9
12
15
Answer: A
Question: A watch which gains uniformly is 2 minutes low at noon on Monday and is 4 min. 48 sec fast at 2 p.m. on the following Monday. When was it correct?
Choices:
2 p.m. on Wednesday
3 p.m. on Thursday
1 p.m. on Friday
None
Answer: A
Question: Otto and Han are driving at constant speeds in opposite directions on a straight highway. At a certain time they are driving toward each other and are 40 miles apart. One and a half hours later, they are again 40 miles apart, driving away from each other. If Otto drives at a speed of x miles per hour, then, in terms of x, Han drives at a speed of how many miles per hour?
Choices:
b) 53.33-x
c) 80-2x
d) 120-x
e) 40-x/2
Answer: A
Question: The angle between two hands at 3.45 is
Choices:
115 degree
112 1/2 degree
117 degree
157 1/2 degree
Answer: D
Question: A jeep takes 4 hours to cover a distance of 620 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?
Choices:
152 Kmph
106 Kmph
103 Kmph
165 Kmph
Answer: C
Question: Find at what time between 8 and 9 o'clock will the hands of a clock be in the same straight line but not together.
Choices:
10x10/11
11x10/11
12x10/11
None
Answer: A
Question: On Sunday morning, Pugsley and Wednesday are trading pet spiders. If Pugsley were to give Wednesday four of his spiders, Wednesday would then have four times as many spiders as Pugsley does. But, if Wednesday were to give Pugsley five of her spiders, Pugsley would now have five fewer spiders than Wednesday had before they traded. How many pet spiders does Pugsley have before the trading game commences?
Choices:
7
8
10
12
Answer: C
Question: To apply for the position of photographer at a local magazine, a photographer needs to include two or three photos in an envelope accompanying the application. If the photographer has pre-selected six photos representative of her work, how many choices does she have to provide the photos for the magazine?
Choices:
35
36
40
42
Answer: A
Question: If x is an integer and y = 3x + 2, which of the following CANNOT be a divisor of y?
Choices:
5
6
7
8
Answer: B
Question: A book store bought copies of a new book by a popular author, in anticipation of robust sales. The store bought 400 copies from their supplier, each copy at wholesale price W. The store sold the first 150 copies in the first week at 80% more than W, and then over the next month, sold a 100 more at 20% more than W. Finally, to clear shelf space, the store sold the remaining copies to a bargain retailer at 40% less than W. What was the bookstore’s net percent profit or loss on the entire lot of 400 books?
Choices:
10% loss
10% profit
20% profit
60% profit
Answer: C
Question: A committee of 2 people is to be selected out of 3 teachers and 4 preachers. If the committee is selected at random, what is the probability that the committee will be composed of at least 1 preacher?
Choices:
1/3
2/3
6/7
8/9
Answer: C
Question: If 73! has 16 zeroes at the end, how many zeroes will 80! have at the end?
Choices:
17
18
19
20
Answer: C
Question: Mary's income is 60 percent more than Tim's income, and Tim's income is 40 percent less than Juan's income. What percent of Juan's income is Mary's income?
Choices:
120%
96%
80%
64%
Answer: B
Question: Y and Z start a business with Rs.3000 and Rs.6000 respectively. How should they share their profits at the end of one year?
Choices:
1:3
1:4
1:5
1:2
Answer: D
Question: If 100!/x is not an integer, which of the following could be the value of x?
Choices:
7^16
11^9
13^6
17^6
Answer: D
Question: P is two years older than Q who is twice as old as R. The total of the ages of P, Q and R is 25. How old is Q?
Choices:
8.2 years
9.8 years
9.2 years
9.4 years
Answer: C
Question: A man can row with a speed of 20 kmph in still water. If the stream flows at 7 kmph, then the speed in downstream is?
Choices:
23
20
27
12
Answer: C
Question: A theater box office sold an average (arithmetic mean) of 65 tickets per staff member to a particular movie. Among the daytime staff, the average number sold per member was 75, and among the evening staff, the average number sold was 60. If there are no other employees, what was the ratio of the number of daytime staff members to the number of evening staff members?
Choices:
1:2
5:11
1:3
13:15
Answer: A
Question: Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Four years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand's present age in years?
Choices:
B)89
C)67
D)32
E)45
Answer: C
Question: If a man can cover 18 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
Choices:
162
878
168
243
Answer: D
Question: How many meaningful English words can be formed with the letters ESRO using each letter only once in each word?
Choices:
3
4
8
9
Answer: A
Question: If S is the product of all positive integers less than 31, than what is the greatest integer k for which S/18^k is an integer?
Choices:
6
7
14
26
Answer: B
Question: What is the ratio between perimeters of two squares one having 3 times the diagonal then the other?
Choices:
3: 6
3: 7
3: 1
3: 3
Answer: C
Question: Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together ?
Choices:
72
37
16
88
Answer: C
Question: A train of length 150 metres takes 40.5 seconds to cross a tunnel of length 300 metres. What is the speed of the train in km/hr ?
Choices:
26.67
40
66.67
50
Answer: B
Question: The ratio of the number of boys and girls in a college is 7:8.If the percentage increase in the number of boys and girls be 20% and 10% respectively.What will be the new ratio?
Choices:
19:22
23:22
22:19
21:22
Answer: D
Question: Three numbers are in the ratio 1 : 2 : 3 and their H.C.F is 3. The numbers are
Choices:
12, 24, 38
12, 24, 362
3, 6, 9
12, 24, 321
Answer: C
Question: A miniature roulette wheel is divided into 10 equal sectors, each bearing a distinct integer from 1 to 10, inclusive. Each time the wheel is spun, a ball randomly determines the winning sector by settling in that sector. If the wheel is spun two times, approximately what is the probability that the product of the two winning sectors’ integers will be even?
Choices:
75%
67%
63%
50%
Answer: A
Question: What is the lowest positive integer that is divisible by each of the integers 1 through 8, inclusive?
Choices:
560
840
960
1080
Answer: B
Question: How many different subsets of the set {0, 1, 2, 3, 4, 5,6,} do not contain 0?
Choices:
B.57
C.31
D.32
E.58
Answer: D
Question: There are two water tanks A and B, A is much smaller than B. While water fills at the rate of one liter every hour in A, it gets filled up like 10, 20, 40, 80, 160 in tank B. (At the end of first hour, B has 10 liters, second hour it has 20, third hour it has 40 and so on). If tank B is 1/32 filled after 21 hours, what is the total duration required to fill it completely?
Choices:
28
269
26
82
Answer: C
Question: Find the sum of first 30 natural numbers
Choices:
468
465
463
487
Answer: B
Question: A and B rent a pasture for 10 months. A put in 80 cows for 7 months. How many can B put in for the remaining 3 months, if he pays half as much again as A?
Choices:
608
279
280
269
Answer: C
Question: If K is the sum of reciprocals of the consecutive integers from 53 to 58, inclusive, then K is closest in value to which of the following?
Choices:
1/10
1/8
1/6
1/10
Answer: D
Question: John takes a trip and drives 9 hours from Town X to Town Z at a rate of 60 miles per hour. On his way back, John drives 85 miles per hour and stops in Town Y which is midway between Town X and Town Z. How many hours does it take Scott to drive from Town Z to Town Y?
Choices:
1.25
1.45
4.15
3.14
Answer: C
Question: A company has 100 employees, 40% of whom are employed part time. If it hires 25 new employees, 40% of whom are employed part time, what will be the percent increase in part time employees?
Choices:
2 2/3 %
4 %
25 %
9 %
Answer: C
Question: In a class of 60 students, the number of boys and girls participating in the annual sports is in the ratio 3 : 2 respectively. The number of girls not participating in the sports is 5 more than the number of boys not participating in the sports. If the number of boys participating in the sports is 15, then how many girls are there in the class ?
Choices:
32
30
28
11
Answer: B
Question: To furnish a room in a model home an interior decorator is to select 4 chairs and 4 tables from the collection of chairs and tables in a warehouse that are all different from each other. If there are 5 chairs in the warehouse and if 75 different combinations are possible, how many tables are there in the warehouse?
Choices:
A)6
C)10
D)15
E)30
Answer: A
Question: A train overtakes two persons walking along a railway track. The first one walks at 4.5 km/hr. The other one walks at 5.4 km/hr. The train needs 8.4 and 8.5 seconds respectively to overtake them. What is the speed of the train if both the persons are walking in the same direction as the train?
Choices:
72 km/hr
78 km/hr
81 km/hr
85 km/hr
Answer: C
Question: 160 is what percent of 50 ?
Choices:
20%
320%
200%
500%
Answer: B
Question: What will come in place of the x in the following Number series? 46080, 3840, ?, 48, 8, 2, 1
Choices:
384
5
7
9
Answer: A
Question: The length of a rectangle is reduced by 20%. By what % would the width have to be increased to maintainthe original area?
Choices:
20%
25%
30%
45%
Answer: B
Question: Find the average of first 20 natural numbers?
Choices:
7.2
10.5
12.3
15.5
Answer: B
Question: The inverse ratio of 4: 2: 1 is?
Choices:
2:4:8
2:3:2
2:3:6
2:3:1
Answer: A
Question: If a man lost 4% by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44%?
Choices:
8
9
6
4
Answer: A
Question: A password of a computer used two digits where they are from 0 and 9. What is the probability that the password solely consists of prime numbers and zero?
Choices:
1/16
1/8
2/5
1/4
Answer: D
Question: Three times the first of three consecutive odd integers is 8 more than twice the third. The third integer is:
Choices:
11
13
15
20
Answer: D
Question: NHAI employs 100 men to build a highway of 2km in 50 days working 8 hours a day. If in 25 days they completed 1/3 part of work .than how many more employees should NHAI hire to finish it in time working 10 hours a day?
Choices:
60
28
11
218
Answer: A