antoine-444/aqua_rat_dataset huggingface dataset:
Question: A thief goes away with a MARUTHI car at a speed of 40 kmph. The theft has been discovered after half an hour and the owner sets off in a bike at 50 kmph when will the owner over take the thief from the start ?
Choices:
2 hrs
5 hrs
4 hrs
1 hrs
Answer: A
Question: A room is 7 meters 68 centimeters in length and 4 meters 32 centimeters in Width. Find the least number of square tiles of equal size required to cover the entire floor of the room.
Choices:
144
175
165
130
Answer: A
Question: In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is 2/3 of the number of students of 8 years of age which is 48. What is the total number of students in the school?
Choices:
100
110
90
None of these
Answer: A
Question: The diameter of the driving wheel of a bus in 140 cm. How many revolutions per minute must the wheel make in order to keep a speed of 66 kmph?
Choices:
220
230
240
250
Answer: D
Question: If a number p is prime, and 2p+5 = q, where q is also prime, then the decimal expansion of 1/q will produce a decimal with q-1 digits. If this method produces a decimal with 166 digits, what is the units digit of the product of p and q?
Choices:
1
5
7
9
Answer: A
Question: Every year an amount increases by 1/8th of itself. How much will it be after two years if its present value is Rs.64000?
Choices:
81000
81287
29766
81372
Answer: A
Question: 7log7(8) = ?
Choices:
2
3
4
8
Answer: D
Question: In a certain population, there are 4 times as many people aged thirtty-one or under as there are people over thirtty-one. The ratio of those thirty-one or under to the total population is
Choices:
1 to 3
4 to 5
2 to 3
3 to 4
Answer: B
Question: † and ¥ represent nonzero digits, and (†¥)² - (¥†)² is a perfect square. What is that perfect square?
Choices:
361
576
961
1089
Answer: D
Question: If a 3-digit integer is selected at random from the integers 300 through 349, inclusive, what is the probability that the first digit and the last digit of the integer are each equal to two more than the middle digit?
Choices:
1/313
1/49
1/100
1/50
Answer: D
Question: 18 men can complete a piece of work in 20 days. In how many days can 15 men complete that piece of work?
Choices:
27
20
24
11
Answer: C
Question: A train covers the first 16 km at a speed of 20 km per hour another 20 km at 40 km per hour and the last 10 km at 15 km per hour. Find the average speed for the entire journey.
Choices:
26 km
21 km
23(23/59) km
None
Answer: C
Question: The circumferences of two circles are 268 meters and 380 meters. Find the difference between the areas of the larger and the smaller circles.
Choices:
2992
4312.5
2887.27
5773.09
Answer: D
Question: If m=9^(x−1), then in terms of m, 3^(4x−6) must be which of the following?
Choices:
9m
9m^2
m^2/3
m^2/9
Answer: D
Question: A large tanker can be filled by two pipes A and B in 60 and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half?
Choices:
45 min
97 min
30 min
16 min
Answer: C
Question: If a no. when divided by 44, gives 432 as quotient and 0 as remainder. What will be the remainder when dividing thesame no. by 31
Choices:
3
5
7
9
Answer: B
Question: 4 dice are thrown simultaneously on the board. Find the probability show the same face.
Choices:
1/211
1/216
1/117
1/119
Answer: B
Question: 3 candidates in an election and received 1136, 8236 and 11628 votes respectively. What % of the total votes did the winning candidate gotin that election?
Choices:
55.4%
57%
60%
62%
Answer: A
Question: There were 35 students in a hostel. Due to the admission of 7 new students, ;he expenses of the mess were increased by Rs. 42 per day while the average expenditure per head diminished by Rs 1. What was the original expenditure of the mess?
Choices:
120
400
420
514
Answer: C
Question: What is the sum of natural numbers between 20 and 100
Choices:
4860
5000
5500
5550
Answer: A
Question: Three partners A,B,C starts a business. Twice A's capital is equal to thrice B's capital and B's capital is four times C's capital. Out of a total profit of Rs.12000 at the end of the year, B's share is
Choices:
Rs.4320
Rs.7500
Rs.6600
None
Answer: A
Question: An plane covers a distance at a speed of 180 kmph in 5 hours. To cover the same distance in 3/2 hours, it must travel at a speed of ?
Choices:
200
720
600
500
Answer: C
Question: A Water Heater is available for $39000 cash or $17000 as down payment followed by five equal monthly instalments of $4800 each. The simple rate of interest per annum under the instalment plan would be
Choices:
19%
21.2%
21.81%
22.07%
Answer: C
Question: In a business there are three partners sum of A and B investments to total investment is in the ratio 4 : 5, and sum of B and C investments to total investment is in the ratio 4 : 5, then which of the following is correct with regard to investments, if investments of two of the partners are equal ?
Choices:
B = C
A = B = C
B > (A + C)
A > C
Answer: C
Question: One millisecond is 0.001 of a second. The costs for a single run of a computer program are $1.36 for operating-system overhead, $0.023 per millisecond of computer time, and $4.35 for the mounting of a data tape. What is the total of these three costs for 1 run of a program that requires 1.5 seconds of computer time ?
Choices:
$8.87
$35.96
$40.21
$59.92
Answer: C
Question: 15 times a positive integer is more than its square by 56, then the positive integer is
Choices:
8
11
12
14
Answer: A
Question: if a@b = a * b^(1/2) then 2@9 = ?
Choices:
6
3
8
4
Answer: A
Question: Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 2 litres from vessel P is mixed with 8 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is?
Choices:
33:7
33:8
33:5
33:2
Answer: A
Question: In a race of 1000 m, A can beat by 100 m, in a race of 800m, B can beat C by 100m. By how many meters will A beat C in a race of 600 m?
Choices:
127.5 m
127.5 m
227.5 m
123.5 m
Answer: A
Question: The sum of money will be double itself in 40 years and simple interest find rate of interest?
Choices:
B)2.5%
C)3.5%
D)4.5%
E)5.5%
Answer: A
Question: In the biology lab of "Jefferson" High School there are 0.036*10^5 germs, equally divided among 18000*10^(-3) Petri dishes. How many germs live happily in a single dish?
Choices:
200
300
400
500
Answer: A
Question: 1/0.05 is equal to
Choices:
2.5
25
20
None of these
Answer: C
Question: A man buys an article and sells it at a profit of 5%. If he had bought it at 5% less and sold it for Rs.25 less, he could have gained 5%. What is the cost price?
Choices:
476
279
278
268
Answer: A
Question: The length of a bridge in meters, which a train 110-meters long and traveling at 45 km/hr can cross in 30 seconds is?
Choices:
265
295
325
375
Answer: A
Question: In a certain region, the number of children who have been vaccinated against rubella is twice the number who have been vaccinated against mumps. The number who have been vaccinated against both is twice the number who have been vaccinated only against mumps. If 4,000 have been vaccinated against both, how many have been vaccinated only against rubella?
Choices:
8,000
10,000
15,000
17,500
Answer: A
Question: Each of the dogs in a certain kennel is a single color. Each of the dogs in the kennel either has long fur or does not. Of the 45 dogs in the kennel, 26 have long fur, 22 are brown, and 8 are neither long-furred nor brown. How many long-furred dogs are brown?
Choices:
19
11
8
6
Answer: B
Question: A man can row 5 kmph in still water. If the river is running at 1kmph, it takes him 75 minutes to row to a place and back. How far is the place?
Choices:
3km
4 km
5 km
6 km
Answer: A
Question: At a recent small town election for mayor a total of 983 votes were cast for the four candidates, the winner exceeding his opponents by 53, 79 and 105 votes, respectively. How many votes were cast for the candidate in fourth place?
Choices:
178
200
166
194
Answer: B
Question: Convert the following unit:
6.5 hectares in mÂ²
Choices:
80000 mÂ²
70000 mÂ²
67500 mÂ²
65000 mÂ²
Answer: D
Question: A group of 10 representatives is to be selected out of 12 seniors and 10 juniors. In how many different ways can the group be selected if it should have at least one senior?
Choices:
Â²Â²Câ‚â‚€+1
Â²Â²Câ‚‰ + Â¹â°Câ‚
Â²Â²Câ‚â‚€ - 1
None of these
Answer: C
Question: If x is an odd integer and y = 3x + 2, which of the following CANNOT be a divisor of y?
Choices:
5
14
17
11
Answer: B
Question: Fernando Alonso and Sebastian Vettel go for a car race. Bedore start of race, both of them have the exactly same amount of fuel in their respective cars. With the given fuel Fernando can drive continuously for 4 hours while Vettel can drive 1 hour more i.e five hours.
After a time they realize that amount of fuel left in Sebastian car is 4 times the fuel in Fernando car.
For long they are racing ?
Choices:
15/4 hours
15/2 hours
15/2 hours
None
Answer: A
Question: If the length of an edge of cube P is thrice the length of an edge of cube Q, what is the ratio of the volume of cube Q to the volume of cube P?
Choices:
1/5
1/6
1/27
1/9
Answer: C
Question: The parameter of a square is equal to the perimeter of a rectangle of length 36 cm and breadth 20 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)?
Choices:
23.59
44.0
23.53
23.57
Answer: B
Question: If an item that originally sold for c dollars was marked up by a percent and then discounted by b percent, which of the following expressions represents the final price of the item?
Choices:
(10,000c + 100c(a – b) – abc)/10,000
(100c(a – b) – abc)/10000
(100c(b – a) – abc)/10000
10000 /(a – b)
Answer: A
Question: A couple who own an appliance store discover that if they advertise a sales discount of 10% on every item in the store, at the end of one month the number of total items sold increases 30%. Their gross income from sales for one month increases by what percent?
Choices:
11%
13%
15%
17%
Answer: D
Question: Can you find the missing number in the sequence given below?
11 17 23 12 18 ? 13 19 25 14 20 26
Choices:
21
22
23
24
Answer: D
Question: A train 110 meters long takes 6 seconds to cross a man walking at 5 kmph in the direction opposite to that of the train. Find the speed of the train.
Choices:
50 kmph
55 kmph
61 kmph
70 kmph
Answer: C
Question: A bag contains 6 red and 3 green balls. Another bag contains 4 red and 6 green balls. If one ball is drawn from each bag. Find the probability that one ball is red and one is green.
Choices:
17/20
7/15
8/10
9/40
Answer: B
Question: If the average of 1, 2, 4, 5, 6, 9, 9, 10, 12 and x is 7, what is the value of x?
Choices:
9
11
12
13
Answer: C
Question: A boat takes 38 hours for travelling downstream from point A to point B and coming back to point C midway between A and B. If the velocity of the stream is 4 kmph and the speed of the boat in still water is 14 kmph, what is the distance between A and B?
Choices:
120 km
360 km
180 km
None of these
Answer: B
Question: The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?
Choices:
4
12
19
28
Answer: C
Question: a' and 'b' are positive integers such that their LCM is 20 and their HCF is 1. What is the difference between the maximum and minimum possible values of 'a - b'?
Choices:
29
34
38
36
Answer: C
Question: Three candidates contested in an election and received 1136, 7636, 11628 votes respectively. What is the percentage of the total votes did the winning candidate get?
Choices:
49%
57%
51%
62%
Answer: B
Question: If 50% of (x-y) = 20% of (x+y), then what percent of x is y?
Choices:
42.8%
22.2%
33.3%
25%
Answer: A
Question: A departmental store charges the commission of 15 percent on the first sale of items worth $50,000 and then an additional 12 percent on any sale price that exceeds the initial $50,000. If the department store earned $24,000 in commissions for the sale of a series of diamonds, what was the sale price of the diamond set?
Choices:
$365,000
$115,000
$240,000
$187,500
Answer: D
Question: What is the sum of all 3 digit positive integers that can be formed using the digits 1, 5, and 8, if the digits are allowed to repeat within a number R?
Choices:
1386
3108
308
13986
Answer: D
Question: In how many years, Rs. 300 will produce the same interest at 6% as Rs. 800 produce in 2 years at 4½% ?
Choices:
4 years
8 years
9 years
12 years
Answer: A
Question: What is the units digit of 32! + 50! + 2! + 4!?
Choices:
2
4
6
8
Answer: C
Question: Sharmila works 10 hours per day on Monday, Wednesday and Friday, and 8 hours per day on Tuesday and Thursday. She does not work on Saturday and Sunday. She earns $460 per week. How much does she earn in dollars per hour?
Choices:
9
9.5
10
11
Answer: C
Question: If (4 - x)/(5 + x) = x, what is the value of x^2 + 6x - 4?
Choices:
0
2
4
6
Answer: A
Question: A whale goes on a feeding frenzy that lasts for 12 hours. For the first hour he catches and eats 30 kilos of plankton. In every hour after the first, it consumes 2 kilos of plankton more than it consumed in the previous hour. If by the end of the frenzy the whale will have consumed a whopping accumulated total 600 kilos of plankton, how many kilos did he consume on the 10th hour?
Choices:
45
28
48
52
Answer: C
Question: From a class consisting of 12 computer science majors, 10 mathematics majors, and 9 statistics majors, a committee of 4 computer science majors, 4 mathematics majors, and 3 statistics majors is to be formed. How many distinct committees are there?
Choices:
16200
17200
18000
19500
Answer: A
Question: A certain car's price decreased by 2.5% (from the original price) each year from 1996 to 2002, during that time the owner of the car invested in a new carburetor and a new audio system for the car, which increased car's price by $1,000. If the price of the car in 1996 was $22,000, what is the car's price in 2002?
Choices:
$19,700
$20,200
$20,400
$21,100
Answer: A
Question: Four hundred multiples of seven are chosen at random, and 100 multiples of eight are chosen at random. Approximately what percentage of the 500 selected numbers are odd?
Choices:
50%
60%
55%
40%
Answer: D
Question: What is the area M of the square with the following coordinates: (x, y), (20, 20), (20, 5), (x, 5)?
Choices:
85.
125.
225.
It cannot be determined from the information given
Answer: C
Question: The speed of a car is 120 km in the first hour and 70 km in the second hour. What is the average speed of the car?
Choices:
75 kmph
95 kmph
80 kmph
82 kmph
Answer: B
Question: An air conditioner can coo the hall in 12 minutes while another takes 15 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 9 minutes
about 10 minutes
about 5 minutes
Answer: A
Question: The cost price of 13 articles is equal to the selling price of 11 articles. Find the profit percent?
Choices:
18 2/11%
18 2/15%
18 2/19%
18 2/21%
Answer: A
Question: 4000 was divided into two parts such a way that when first part was invested at 3% and the second at 5%, the whole annual interest from both the investments is Rs.144, how much was put at 3%?
Choices:
2800
3000
3500
4000
Answer: A
Question: John deposited $10,000 to open a new savings account that earned 6 percent annual interest, compounded quarterly. If there were no other transactions in the account, what was the amount of money in John’s account 6 months after the account was opened?
Choices:
$10,101.50
$10,200.75
$10,302.25
$10,400.25
Answer: C
Question: 90kg of an alloy A is mixed with 140 kg of alloy B. If alloy A has lead and tin in the ratio 3:4 and alloy B has tin and copper in the ratio 2:5, then the amount of tin in the new alloy is?
Choices:
95.4kg
117.5kg
91.4kg
92kg
Answer: C
Question: The Natural Woman, a women's health food store, offers its own blends of trail mix. If the store uses 4 different ingredients, how many bins will it need to hold every possible blend, assuming that each blend must have at least three ingredients? (Also assume that each bin can hold one and only one blend.)
Choices:
4
5
11
10
Answer: B
Question: If two numbers, a and b, are to be chosen from a set of 4 consecutive integers starting with 1 and a set of four consecutive even integers starting with 10, respectively, what is the probability that b/a will not be an integer?
Choices:
1/4
5/16
3/8
1/2
Answer: B
Question: Lastly, jenny compared Canada’s CN Tower and Seattle’s Space
Needle. How tall is the Space Needle if the CN Tower stands at 553m
high and it is taller than the Space Needle by 369m?
Choices:
184
170
113
099
Answer: A
Question: A student chose a number, multiplied it by 6, then subtracted 250 from the result and got 122. What was the number he chose?
Choices:
60
61
62
63
Answer: C
Question: Min (a, b, c)=min of a, b, c Max (a, b, c,)=max of a, b, c then what is the value of MAX {min (2,5,7), max (-7, -2, -3), 3}
Choices:
2
3
4
5
Answer: B
Question: A teacher of 6 students takes 2 of his students at a time to a zoo as often as he can, without taking the same pair of children together more than once. How many times does the teacher go to the zoo?
Choices:
15
10
48
17
Answer: A
Question: If x and y are positive integers such that x/y = 2.60, which of the following numbers could be y?
Choices:
4
6
5
10
Answer: C
Question: Initially two cups of same volume are present with milk filled upto 3/5th and 4/5th of their volumes.Water is then filled. Then two mixtures are mixed. Find the ratio of water to milk in the mixture
Choices:
2/7
3/7
4/7
5/7
Answer: B
Question: What smallest number should be added to 8444 such that the sum is completely divisible by 7 ?
Choices:
5
4
3
2
Answer: A
Question: The average age of a family of 5 members is 20 years. If the age of the youngest member be 10 years then what was the average age of the family at the time of the birth of the youngest member?
Choices:
14
15
12.5
None
Answer: C
Question: Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 27 seconds. What is the length of each train (in meters)?
Choices:
88.5
37.5
55.5
23.5
Answer: B
Question: 180 metres long yard, 11 trees are palnted at equal distances, one tree being at each end of the yard. What is the distance between 2consecutive trees
Choices:
18
14
16
17
Answer: A
Question: If x and y are integers such that x^2+4x+2y+6=2x^2+5x+y-6, we can deduce that y is
Choices:
an even
a perfect square
an odd
a prime
Answer: A
Question: A, B and C can do a work in 7 , 14 and 21 days respectively. They completed the work and got Rs.242. What is the share of C?
Choices:
44
55
77
99
Answer: A
Question: Three boys are ages 4, 6 and 7 respectively. Three girls are ages 5, 8 and 9, respectively. If two of the boys and two of the girls are randomly selected and the sum of the selected children's ages is q, what is the difference between the probability that q is even and the probability that q is odd?
Choices:
1/9
2/9
1/4
1/2
Answer: A
Question: On average, activated yeast cells divide once every 120 minutes; that is, each individual cell divides into two individual cells over that time span. Given that a certain yeast colony consisted of 180,000 cells two hours ago, approximately how many cells will be populating the colony six hours from now?
Choices:
1,860,000
2,880,000
3,720,000
4,960,000
Answer: B
Question: Having received his weekly allowance, a student spent 3/5 of his allowance at the arcade. The next day he spent one third of his remaining allowance at the toy store, and then spent his last $0.60 at the candy store. What is this student’s weekly allowance?
Choices:
$2.25
$3.00
$3.50
$3.75
Answer: A
Question: Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
Choices:
4
7
9
None of these
Answer: D
Question: Four bells commence tolling together and toll at intervals of 2, 3, 4 and 5 seconds respectively. In 10 minutes, how many times do they toll together ?
Choices:
11
12
13
14
Answer: A
Question: If 125% of j is equal to 25% of k, 150% of k is equal to 50% of l, and 175% of l is equal to 75% of m, then 20% of m is equal to what percent of 100% of j ?
Choices:
3.5
35
350
700
Answer: D
Question: The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 120 metres?
Choices:
65 seconds
24 seconds
12 seconds
21 seconds
Answer: B
Question: A straight pipe 6 yard in length was marked off in fourths and also in thirds. If the pipe was then cut into separate pieces at each of these markings, which of the following gives all the different lengths of the pieces, in fractions of a yard?
Choices:
1/4 and 1/3 only
1/6, 1/4, and 1/3
1/12, 1/6 and 1/4
1/12, 1/6, and 1/3
Answer: A
Question: The average height of 20 students is 20 cm and the average height of 11 students is 20 cm . What is the average height of the 31 students?
Choices:
20 cm
30 cm
25 cm
35 cm
Answer: A
Question: A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train?
Choices:
287 m
279 m
270 m
197 m
Answer: C
Question: A and B start a business jointly. A invests Rs.16000 for 8 months and B remains in the business for 4 months. Out of the total profit B claims 2/7th share. How much money is contributed by B?
Choices:
Rs.12800
Rs.6000
Rs.8000
Rs.9000
Answer: A
Question: What is K's position with respect to P?
Choices:
7
Fifth to the right
8
72
Answer: B
Question: IF A'S INCOME IS 25%LESS THAN B'S.BY WHAT % B'S INCOME IS GREATER THAN A?
Choices:
12
33
15
36
Answer: B
Question: A mixture of 150 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture?
Choices:
18 liters
10 liters
11 liters
14 liters
Answer: B
Question: The area of a triangle is with base 4m and height 5m?
Choices:
10 m2
54 m2
86 m2
42 m2
Answer: A
Question: a, b, and c are integers and a<b<c. S is the set of all integers from a to b, inclusive. Q is the set of all integers from b to c, inclusive. The median of set S is (3/4)*b. The median of set Q is (5/8)*c. If R is the set of all integers from a to c, inclusive, what fraction of c is the median of set R?
Choices:
1/2
9/16
5/7
3/4
Answer: B
Question: A rectangular field has to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 680 sq. feet, how many feet of fencing will be required?
Choices:
92
88
82
85
Answer: B
Question: Of the mutual funds on a “select list,” 1/3 have 5-star ratings, and 2/5 of the remaining funds have 4-star ratings. If the remaining 500 funds on the list have 3-star ratings, how many funds are on the list?
Choices:
750
1,000
1,250
1,500
Answer: C
Question: The length of a rectangle is twice its breadth. If its length is decreased by 10 cm and breadth is increased by 10 cm, the area of the rectangle is increased by 75 sq.cm. What is the length of the rectangle?
Choices:
35 cm
30 cm
45 cm
55 cm
Answer: A
Question: Matt is touring a nation in which coins are issued in two amounts, 2¢ and 5¢, which are made of iron and copper, respectively. If Matt has twuenty iron coins and thuenty copper coins, how many different sums from 1¢ to 140¢ can he make with a combination of his coins?
Choices:
140
166
136
2
Answer: C
Question: A man sitting in a train which is traveling at 55 kmph observes that a goods train, traveling in opposite direction, takes 10 seconds to pass him. If the goods train is 320 m long, find its speed
Choices:
56 kmph
60 kmph
62 kmph
72 kmph
Answer: B
Question: Two friends decide to get together; so they start riding bikes towards each other. They plan to meet halfway. Each is riding at 6 MPH. They live 36 miles apart. One of them has a pet carrier pigeon and it starts flying the instant the friends start traveling. The pigeon flies back and forth at 12 MPH between the 2 friends until the friends meet. How many miles does the pigeon travel?
Choices:
66
80
36
96
Answer: C
Question: Find the largest number of four digits which is exactly divisible by 27,18,12,16
Choices:
9916
9936
9736
9746
Answer: B
Question: Pipe A can fill a tank in 6 hours. Due to a leak at the bottom, it takes 8 hours for the pipe A to fill the tank. In what time can the leak alone empty the full tank?
Choices:
24
18
19
12
Answer: A
Question: A train 700 m long passes a man, running at 20 km/hr in the same direction in which the train is going, in 40 sec. The speed of the train is?
Choices:
41 km/hr
42 km/hr
43 km/hr
44 km/hr
Answer: C
Question: The average earning of a mechanic for the first-four days of a week is Rs. 18 and for the last four days is Rs. 22. If he earns Rs . 20 on the fourth day, his average earning for the whole week is ?
Choices:
Rs 16
Rs. 20
Rs. 25.71
None of these
Answer: B
Question: If 15% of 40 is greater than 25% of a number by 2,then find the number is?
Choices:
15
16
25
30
Answer: B
Question: Sandy is younger than Molly by 20 years. If the ratio of their ages is 7:9, how old is Sandy?
Choices:
49
56
63
70
Answer: D
Question: A certain company charges $5 per package to ship packages weighing less than 2 pounds each. For a package weighing 2 pounds or more, the company charges an initial fee of $5 plus $1 per pound. If the company charged $30 to ship a certain package, which of the following was the weight of the package, in pounds?
Choices:
25
30
35
40
Answer: A
Question: The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
Choices:
249
245
882
279
Answer: B
Question: For a,q,d are the positive integers, and d|a means that “a is divisible by d”, if d|aq, which of the following must be true?
Choices:
d|q
d|2aq
d|(a+q)
d|(a-q)
Answer: B
Question: A bus takes 4 hours to cover a distance of 480 Km. how much should the speed in Kmph be maintained to cover the same direction in 4/3th of the previous time?
Choices:
90 Kmph
95.9 Kmph
95.4 Kmph
90.5 Kmph
Answer: D
Question: The ratio of investments of two partners P and Q is 7:5 and the ratio of their profits is 7:10. If P invested the money for 8 months, find for how much time did Q invest the money?
Choices:
10
18
16
12
Answer: C
Question: When positive integer f is divided by 6, the remainder is 1. Which of the following must be true?
I. f is a prime number
II. f is odd
III. f is divisible by 7
Choices:
II only
III only
I and II only
II and III only
Answer: A
Question: A train 124 m long running at 68 kmph crosses a platform in 19 sec. What is the length of the platform?
Choices:
234
240
881
271
Answer: A
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 65 kg. What might be the weight of the new person?
Choices:
75 kg
80 kg
85 kg
90 kg
Answer: C
Question: My boss has $243,986 in the business account. What is the least amount of money (in whole number of dollars) that he must add to his account if she wants to split this money evenly among his nine employees?
Choices:
$2
$3
$4
$6
Answer: C
Question: If 4,5qD + 8,737 = 13,qD3, where q and D are distinct digits, what is the value of D – q?
Choices:
4
3
2
1
Answer: A
Question: Two bags are randomly selected from a flight at the airport to be searched, one at a time, then sent through after being searched (this means: without return). Five smugglers are watching this and they each have three bags with contraband. There are 20 bags on the flight. What is the probability that they will get away? (Answer in lowest terms).
Choices:
3/12
5/76
2/19
1/2
Answer: B
Question: A, B, C, D and E are 5 consecutive points on a straight line. If BC = 2CD, DE = 4, AB = 5 and AC = 11, what is the length of AE?
Choices:
26
30
18
16
Answer: C
Question: The top and bottom of a tower were seen
to be at angles of depression 30° and 60° from the top of a
hill of height 100 m. Find the height of the tower
Choices:
66.67 m
68.67 m
56.67 m
46.67 m
Answer: A
Question: The owner of a furniture shop charges his customer 24% more than the cost price. If a customer paid Rs. 8339 for a computer table, then what was the cost price of the computer table?
Choices:
Rs.6727
Rs.6908
Rs.6725
Rs.6728
Answer: C
Question: A customer pays 80 dollars for a coffee maker after a discount of 20 dollars
What is the original price of the coffe maker?
Choices:
100
70
90
20
Answer: A
Question: An author received $0.80 in royalties for each of the first 100,000 copies of her book sold, and $0.90 in royalties for each additional copy sold. If she received a total of $260,000 in royalties, how many copies of her book were sold?
Choices:
300,000
380,000
400,000
420,000
Answer: A
Question: Look at this series: 2, 4, 6, 8, 10, ... What number should come next?
Choices:
11
16
13
12
Answer: D
Question: Nitin ranks 27th in a class of 89 students. What is rank from the last ?
Choices:
63
67
87
89
Answer: A
Question: If a woman buys 700 pencils for $70 and sold them for $3 dollars for a 10 pack, determine her profit per pack.
Choices:
2
20
30
70
Answer: A
Question: The average of the daily income of A, B and C is Rs . 60 . If B earns Rs . 20 more than C and A earns double of what C earns. What is the daily income of C ?
Choices:
Rs. 60
Rs. 40
None of these
Cannot be determined
Answer: B
Question: Insert the missing number
2, 9, 28, 65, ...
Choices:
126
121
103
112
Answer: A
Question: 20 throws of a die produces following results
SCORE -- NUMBER OF OCCURRENCES
---1-------------------4
---2-------------------3
---3-------------------5
---4-------------------2
---5-------------------2
---6-------------------4
What is the probability C that one more throw to this series will increase the mean score?
Choices:
1/3
1/2
2/3
5/6
Answer: B
Question: Find the total number of prime factors in the expression (4)^13 x (7)^5 x (11)^2
Choices:
22
25
27
33
Answer: D
Question: P is three times as fast as Q and working together, they can complete a work in 6 days. In how many days can Q alone complete the work?
Choices:
77
88
55
8
Answer: D
Question: If in a cricket one day match, there were no wide balls, no wides, no extras and no overthrows.
What is the maximum number of runs that a batsman can score in 25 overs in an ideal case scenario?
Choices:
850
828
825
None
Answer: B
Question: Albert buys 4 horses and 9 cows for Rs. 13,400. If he sells the horses at 10% profit and the cows at 20% profit, then he earns a total profit of Rs. 1880. The cost of a horse is:
Choices:
2000
2300
3400
2830
Answer: A
Question: 0.02 x 0.000197 is equal to:
Choices:
6.84 x 10(power -6)
3.94 x 10(power -6)
5.48 x 10(power -6)
None of them
Answer: B
Question: There are seven leopards and one sheep.
Leopard can eat sheep but since as the land is magical, the leopards who eats the sheep , turns into sheep and then can be eaten by the remaining leopard(s).
If we leave them for some time then how many sheep and leopard will be there , when we come back ?
Choices:
4 leopard and 7 sheep
6 leopard and 1 sheep
5 leopard and 1 sheep
2 leopard and 5 sheep
Answer: B
Question: A fruit seller sells mangoes at the rate of Rs.12 per kg and thereby loses 10%. At what price per kg, he should have sold them to make a profit of 15%?
Choices:
Rs.12
Rs.15.33
Rs.12.31
None
Answer: B
Question: What least number should be added to 1056, so that the sum is completely divisible by 23?
Choices:
3
2
1
0
Answer: B
Question: Find the circumference and area of radius 8 cm.
Choices:
201 cm²
210 cm²
184 cm²
194 cm²
Answer: A
Question: the first half of the 20th century, the population of a particular country increased by 200 percent. In the second half of the century, the population increased by 300 percent. What was the percent increase for the 20th century as a whole?
Choices:
600%
800%
1100%
1200%
Answer: C
Question: Last Sunday a certain store sold copies of Newspaper A for $1.00 each and copies of Newspaper B for $1.25 each, and the store sold no other newspapers that day. If r percent of the store's revenues from newspapers sales was from Newspaper A and if q percent of the newspapers that the store sold were copies of Newspaper A, which of the following expresses r in terms of q?
Choices:
150p / (250 - p)
300p / (375 - p)
400q / (500 - q)
500q / (625 - q)
Answer: C
Question: If X+Y = 2X-2Z, X-2Y = 4Z and X+Y+Z = 21, what is the value of Z/Y?
Choices:
-2.
-0.5.
3.
2.5.
Answer: B
Question: If Sharon's weekly salary increased by 16 percent, she would earn $406 per week. If instead, her weekly salary were to increase by 10 percent, how much would she earn per week?
Choices:
$382
$385
$392
$399
Answer: B
Question: A Women can cover a distance in 1 hr 24 min by covering 2/3 of the distance at 4 km/h and the rest at 5 km/h. The total distance is
Choices:
8 km
2 km
6 km
9 km
Answer: C
Question: A man whose speed is 4.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey?
Choices:
4
9
6
1
Answer: A
Question: Q is as much younger than R as he is older than T. If the sum of the ages of R and T is 50 years. What is definitely the difference between R and Q's age?
Choices:
99
88
77
23
Answer: C
Question: If there is exactly one root of the equation x^2 + ax - b, where a and b are positive constants, what is b in terms of a?
Choices:
a
-a^2/4
a^2/2
a^2/4
Answer: B
Question: The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.5 years. The ration of the number of boys to the number of girls in the class is?
Choices:
2:3
2:5
2:1
1:2
Answer: D
Question: In a fuel station the service costs $1.75 per car, every liter of fuel costs 0.65$. Assuming that a company owns 12 cars and that every fuel tank contains 56 liters and they are all empty, how much money total will it cost to fuel all cars?
Choices:
387.8$
420.8$
457.8$
480.8$
Answer: C
Question: If the operation Ø is defined for all positive integers x and w by x Ø w = (2^x)/(2^w) then (4 Ø 2) Ø 1 = ?
Choices:
4
8
16
32
Answer: B
Question: 378 × ? = 252
Choices:
2/3
1/2
2/8
None of these
Answer: A
Question: If 1st October is Sunday, then 1st November will be
Choices:
Thursday
Wednesday
Tuesday
Monday
Answer: B
Question: The ratio of the present age of Viju to that of Aju is 7:2. Four years from now, the ratio of the ages of Viju to Aju will be 5:2. What was Viju age 7 years ago ? (RBI Assistant 2015)
Choices:
18
14
15
13
Answer: B
Question: If x = 5 and y = −2, what is the value of (x − 2y)^y?
Choices:
0.2
0.01
4
8
Answer: B
Question: Under the Below list which is the smallest prime number:
Choices:
41
38
32
30
Answer: A
Question: Two trains are running in opposite directions with the same speed. If the length of each train is 360 m and they cross each other in 12 sec, then the speed of each train is?
Choices:
77
36
108
21
Answer: C
Question: If Rs.1000 be invested at interest rate of 5% & the interest be added to the principal every 10 yrs, then the no. of yrs in which it will amount to Rs.2000 is:
Choices:
16 1/2 years
16 2/3 years
17 years
17 2/3 years
Answer: B
Question: An accurate clock shows 8 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon?
Choices:
360º
280º
90º
180º
Answer: D
Question: A work which could be finished in 12 days was finished 3 days earlier after 10 more men joined. The number of men employed was?
Choices:
20
88
71
10
Answer: D
Question: A pump can fill a tank with water in 2 hours. Because of a leak, it took hours to fill the tank. The leak can drain all the water of the tank in:
Choices:
37
76
14
29
Answer: C
Question: If a class of 10 students has five men, how many ways can the men and women be arranged in a circle so that no two men sit next to each other?
Choices:
5!4!
4!4!
10!
10!/5!
Answer: A
Question: Which one of the following is the least number of four digits divisible by 71?
Choices:
1065
1229
1727
1781
Answer: A
Question: A train of 24 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.4 km long?
Choices:
2 mins 34 sec
2 mins 54 sec
4 mins 54 sec
2 mins 44 sec
Answer: B
Question: Excluding stoppages,the speed of the bus is 72kmph and
including stoppages,it is 54kmph. For how many minutes does the bus stop per hr
Choices:
11 min
13 min
15 min
17 min
Answer: C
Question: .009/?= .01
Choices:
.9
.009
.0009
None of them
Answer: A
Question: There are 200 cats in Cat-City. Out of the 200, 70 are street cats and the rest are domestic cats. 110 cats are gray, 25 out of the gray cats are NOT domestic ones. How many domestic cats are there which are not gray in Cat-City?
Choices:
45.
50.
40.
25.
Answer: A
Question: A credit card number has 6 digits (between 1 to 9). The first two digits are 12 in that order, the third digit is bigger than 4, the forth is divisible by 3 and the fifth digit is 3 times the sixth. How many different credit card numbers exist?
Choices:
36
72
112
45
Answer: D
Question: If the price of petrol increases by 25, by how much must a user cut down his consumption so that his expenditure on petrol remains constant?
Choices:
20%
16.67%
33.33%
None of these
Answer: A
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 4 p.m.?
Choices:
35 min
45 min
50 min
55 min
Answer: A
Question: X and Y are positive two-digit integers such that the tens digit in X is the same as the units digit in Y, and the units digit in X is the same as the tens digit in Y. Which of the following CANNOT be the difference of X and Y ?
Choices:
45
27
33
9
Answer: C
Question: Shobha’s mathematics test had 75 problems i.e.10 arithmetic, 30 algebra and 35 geometry problems. Although she answered 70% of the arithmetic ,40% of the algebra, and 60% of the geometry problems correctly. she did not pass the test because she got less than 60% of the problems right. How many more questions she would have to answer correctly to earn 60% of the passing grade?
Choices:
2
6
5
4
Answer: C
Question: Solve the following quadratic equation by factoring.
X2+15X=50
Choices:
4,-10
5,10
-5,10
6,3
Answer: C
Question: A caterer ordered 125 ice-cream bars and 125 sundaes. If the total price was $275.00 and the price of each ice-cream bar was $0.60, what was the price of each sundae?
Choices:
$0.80
$1.00
$1.20
$1.60
Answer: D
Question: If x and y are prime numbers such that x > y > 1, then x^2 − y^2 must be divisible by which one of the following numbers?
Choices:
4
5
9
12
Answer: B
Question: Set S consists of all prime integers less than 10. If two numbers are chosen form set S at random, what is the probability that the product of these numbers will be greater than the product of the numbers which were not chosen?
Choices:
2/3
1/2
7/10
4/5
Answer: B
Question: Salaries of Ravi and Sumit are in the ratio 2:3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40:57. What is Sumit's present salary?
Choices:
Rs.38,038
Rs.38,036
Rs.38,000
Rs.38,098
Answer: C
Question: How much time will it take for an amount of Rs. 600 to yield Rs. 30 as interest at 2% per annum of simple interest?
Choices:
4.2 years
7 years
6 years
2.5 years
Answer: D
Question: If there are 4 peanuts in a box and Mary puts 6 more peanuts inside, how many peanuts are in the box?
Choices:
9
10
11
12
Answer: B
Question: Cars C1 and C2 travel to a place at a speed of 30 and 45 km/h respectively. If car C2 takes 21⁄2 hours less time than C1 for the journey, the distance of the place is
Choices:
400 km
350 km
225 km
None of these
Answer: C
Question: Solution X is 10 percent alcohol by volume, and solution Y is 30 percent alcohol by volume. How many milliliters of solution Y must be added to 300 milliliters of solution X to create a solution that is 22 percent alcohol by volume?
Choices:
350
400
450
500
Answer: C
Question: If each term in the sum a1+a2+a3+.....+an is either 7 or 77 and the sum equals 357, which of the following could be equal to n?
Choices:
39
40
41
42
Answer: C
Question: If a(a - 4) = 21 and b(b - 4) = 21, where a ≠ b, then a + b =
Choices:
−2
4
46
48
Answer: B
Question: The areas, in kilometers squared, of some countries are given below. USA: 9,629,091, Russia: 22,098,242, China: 9,598,094, Canada: 9,984,670, the UK: 242,400 and India: 3,287,263.
What is the difference between the areas of Russia and China?
Choices:
12,500,148 kilometers squared
9,843,123 kilometers squared
1,878,965 kilometers squared
4,787,900 kilometers squared
Answer: A
Question: A circular rim 28 inches in diameter rotates the same number of inches per second as a circular rim 35 inches in diameter. If the smaller rim makes x revolutions per second, how many revolutions per second does the larger rim makes in terms of x ?
Choices:
4x/5
48x
24x
x/75
Answer: A
Question: A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 8 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled?
Choices:
7.4
7.9
7.2
8.0
Answer: D
Question: A train 75 metres long overtook a man who was walking at the rate of 6 km/h and passed him in 18 seconds. Again, the train overtook a second person in 15 seconds. At what rate was the second person travelling ?
Choices:
3 km/h
4 km/h
1.5 km/h
None of these
Answer: A
Question: For a three-digit number xyz, where x, y, and z are the digits of the number, f(xyz)=5^x 2^y 3^z . If f(abc)=3*f(def), what is the value of abc-def ?
Choices:
1
3
9
27
Answer: A
Question: If 0 < n < 1, what is the median of the values n, n^-1, n^2, n^1/2 and n^3?
Choices:
n
n^2
n^1/2
n^3
Answer: A
Question: Total expenses of a boarding house are partly fixed and partly varying linearly with the number of boarders.The average expense per boarder is Rs. 700 when there are 25 boarders and Rs 600 when there are 50 boarders.What is the average expense per boarders when there are boarder ?
Choices:
550
540
570
None of these
Answer: A
Question: A bookstore made 11000 dollars selling 3000 math books and 1000 physics books. A customer bought 1 math book and 1 physics book and paid 7 dollars. What is the price of each book?
Choices:
1 and 6
2 and 5
None
Cannot be determined
Answer: B
Question: Find the value of x: 2x² − 4.
Choices:
-2,2
-2,1
0,4
-1,4
Answer: A
Question: A group of hikers is planning a trip that will take them up a mountain using one route and back down using another route. They plan to travel down the mountain at a rate of one and a half times the rate they will use on the way up, but the time each route will take is the same. If they will go up the mountain at a rate of 7 miles per day and it will take them two days, how many miles long is the route down the mountain?
Choices:
19
20
21
22
Answer: C
Question: A can do a work in 3 days. B can do the same work in 6 days. If both A & B are working together in how many days they will finish the work?
Choices:
5
4
2
6
Answer: C
Question: The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is?
Choices:
35 years
40 years
50 years
55 years
Answer: B
Question: A rectangular table seats 3 people on each of two sides, with every person directly facing another person across the table. If six people choose their seats at random, what is probability that any two of them directly face other?
Choices:
1/5
1/7
15/56
4/7
Answer: A
Question: If a store adds 20 chairs to its current inventory, the total number of chairs will be the same as three-halves the current inventory of chairs. If the manager wants to increase the current inventory by 50%, what will the new inventory of chairs be?
Choices:
60
100
140
160
Answer: A
Question: Tough and Tricky questions: Statistics.
Set X consists of prime numbers {3, 11, 7, K, 17, 19}. If integer Q represents the product of all elements in set X and if 11Q is an even number, what is the range of set X?
Choices:
16
17
20
26
Answer: B
Question: What will be the compound interest on a sum of Rs. 22,000 after 3 years at the rate of 12% p.a.?
Choices:
Rs. 8908.42
Rs. 10123.20
Rs. 10483.20
None
Answer: A
Question: If the least common multiple of 9, 10, 12,
and v is 540, which of the following
could be v?
Choices:
24
27
36
45
Answer: B
Question: A and B started a partnership business investing Rs. 20,000 and Rs. 15,000 respectively. C joined them with Rs. 20,000 after six months. Calculate B's share in total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?
Choices:
2500
5000
10000
7500
Answer: D
Question: The area of a square field 3136 sq m, if the length of cost of drawing barbed wire 3 m around the field at the rate of Rs.1.20 per meter. Two gates of 1 m width each are to be left for entrance. What is the total cost?
Choices:
272
799.2
277
311
Answer: B
Question: Bill’s compact disc player randomly plays a song, so that no song is repeated before the entire album is played. If Bill plays a disc with 17 songs, what are the chances that the third song he hears will be his favorite?
Choices:
1/17
1/11
3/14
1/3
Answer: A
Question: If x, y, and z are positive integers such that x^2 + y^2 + z^2 = 64,470, which of the following could be the values of x, y, and z?
I)x=541 y=401 z=100
II)x=530 y=400 z=100
III)X=501 y=300 z=200
Choices:
II only
III only
I​ and II
I and III
Answer: A
Question: The division of a whole number N by 13 gives a quotient of 22 and a remainder of 2. Find N.
Choices:
197
288
997
297
Answer: B
Question: The income of P and Q are in the ratio of 2 : 3 and their expenses are in the ratio of 3 : 5. If each of them saves Rs. 500, then the income of P is:
Choices:
Rs. 2000
Rs. 1500
None of these
Cannot be determined
Answer: A
Question: To furnish a room in a model home an interior decorator is to select 2 chairs and 2 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 150 different combinations are possible, how many tables e are there in the warehouse?
Choices:
6
10
15
30
Answer: A
Question: An unbiased cubic die is thrown.What is the probability of getting a multiple of 2?
Choices:
3/4
2/6
1/2
1
Answer: C
Question: 125 liters of a mixture of milk and water contains in the ratio 3:2. How much water should now be added so that the ratio of milk and water becomes 3:4?
Choices:
3:1
3:7
3:4
3:6
Answer: C
Question: A fruit vendor purchased 20 dozens of bananas at Rs. 15 per dozen. But one-fourth of the bananas were rotten and had to be thrown away. He sold two-third of the remaining bananas at Rs. 22.50 per dozen. At what price per dozen should he sell the remaining bananas to make neither a profit nor a loss?
Choices:
15
66
44
21
Answer: A
Question: A telephone number contains 10 digit, including a 3-digit area code. Bob remembers the area code and the next 5 digits of the number. He also remembers that the remaining digits are not 0, 1, 2, 5, or 7. If Bob tries to find the number by guessing the remaining digits at random, the probability that he will be able to find the correct number in at most 2 attempts is closest to which of the following ?
Choices:
2/625
4/625
25/625
50/625
Answer: D
Question: What is the greatest prime factor of 8^12 - 2^30?
Choices:
3
5
7
11
Answer: C
Question: In the biology lab of "Jefferson" High School there are 0.036*10^5 germs, equally divided among 36000*10^(-3) Petri dishes. How many germs live happily in a single dish?
Choices:
100
300
400
500
Answer: A
Question: A man purchases a cow for Rs.3000 and sold it on the same day allowing the buyer a credit of 2 years. If the buyer will pay Rs.3600 after 2 year at a rate of simple interest 50/7 % per annum, then the man has a gain of
Choices:
Rs 171.43
Rs 173.43
Rs 174.43
Rs 175.43
Answer: A
Question: Number of ways in which the letters of word GARDEN can be arranged with vowels in alphabetical order, is
Choices:
360
120
480
None of these
Answer: A
Question: Find out the wrong number in the following series:
5, 15, 30, 80, 180, 540, 1080
Choices:
15
80
180
540
Answer: B
Question: Two pipes A and B together can fill a cistern in 4 hours. Had they been opened separately, then B would have taken 6 hours more than A to fill cistern. How much time will be taken by A to fill the cistern separately?
Choices:
6
4
9
8
Answer: A
Question: What is the area of a square field whose diagonal of length 20 m?
Choices:
377
200
887
1771
Answer: B