RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: There is a 30 cm line marked at each cm and an insect is placed at every cm. 9 frogs are trained to jump a constant distance. the first one jumps 2cm in every leap, second one jumps 3cm and so on till 9th one jumps 10cm in every leap and they eat any insect that is available at that spot. If all of them start from start line and finish the entire 30cm, how many insects were still left after the race got over.
A.0
B.4
C.6
D.7
Answer: C.6
Explanation: Only prime numbers greater than 10 and less than 30 were let
11,13,17,19,23,29
total=6
Ans=C
Question: A generous man set aside a certain sum of money for equal distribution weekly to the needy of his acquaintance. One day he remarked, "If there are five fewer applicants next week, you will each receive two dollars more." Unfortunately, instead of there being fewer there were actually four more persons applying for the gift. "This means," he pointed out, "that you will each receive one dollar less." How much did each person receive at that last distribution?
A.$7
B.$6
C.$9
D.$9
Answer: B.$6
Explanation: B
$6
At first there were twenty persons, and each received $6.00. Then fifteen persons (five fewer) would have received $8.00 each. But twenty-four (four more) appeared and only received $5.00 each. The amount distributed weekly was thus $120.00.
Question: From the integer n, if n*n*n is even, then what is true from below options?
A.n is odd
B.n*n is odd
C.n is odd and n*n is even
D.n is even
Answer: D.n is even
Explanation: n is even
Option D
Question: The difference between the ages of a couple is 5 years. Ten years ago, the husband was twice as old as wife. The present age of the husband is
A.25
B.45
C.35
D.75
Answer: A.25
Explanation: Let their ages of x years and (x + 5) years respectively.
Then, (x + 5) - 10 = 2(x - 10)
⇔ x - 5 = 2x - 20
⇔ x = 15.
∴ Present age of the husband = (15 + 10)
= 25 years.
Answer:	25 years
Question: On day one, a store sold 100 hats. On each of the next d days, the company sold 70 hats. If the average daily sales of hats over this time period (including day one) is 75 hats, what is the value of d?
A.5
B.6
C.7
D.8
Answer: A.5
Explanation: 100 + 70d = 75(d+1).
5d = 25.
d = 5.
The answer is A.
Question: Find the selling price of goods if two salesmen claim to make 25% profit each, one calculating it on cost price while another on the selling price, the difference in the profits earned being Rs. 100 and selling price being the same in both the cases?
A.Rs. 1200
B.Rs. 1600
C.Rs. 2400
D.Rs. 2500
Answer: A.Rs. 1200
Explanation: Solution: Let CP's be Rs. 1000 each, their respective SP will be,
1000==25%↑==> 1250 [person calculating profit on the CP]
1000 ==33.33%↑==> 1333.33 [The person calculating his profit on SP: 25% of SP = 33.33% of CP]
The difference turned out to be = 83.33. this has occured when we have assumed the CP as 1000. But, we are given difference of Rs. 100.
So, on comparing,
83.33 = 1000
1 = [1000/83.33]
100 = [1000/83.33] *100 = Rs. 1200.
Answer: Option A
Question: A person goes to his office at 1/3rd of the speed at which he returns from his office. If the avg speed during the whole trip is 18m/h. what is the speedof the person while he was going to his office?
A.8km/h
B.10km/h
C.12km/h
D.13km/h
Answer: C.12km/h
Explanation: u = k , v= 3k
\inline \therefore \frac{2uv}{u+v}\: \: \Rightarrow \frac{2\times k\times 3k}{(k+3k)}=18
\inline \Rightarrow 1.5k = 18
\inline \Rightarrow k=12km/h
C
Question: What least number must be subtracted from 9679 so that the remaining number is divisible by 15?
A.3
B.1
C.16
D.4
Answer: D.4
Explanation: On dividing 9679 by 15, we get remainder = 4.
Required number be subtracted = 4
ANSWER:D
Question: The speed at which a boy can row a boat in still water is 60 kmph. If he rows downstream, where the speed of current is 12 kmph, what time will he take to cover 400 metres?
A.17
B.18
C.19
D.20
Answer: D.20
Explanation: Speed of the boat downstream = 60 + 12 = 72 kmph
= 72 * 5/18 = 20 m/s
Hence time taken to cover 400 m = 400/20 = 20 seconds.
Answer: D
Question: The price of onions increases by 25%, by what percent should a housewife reduces the consumption so that expenditure on onions can be same as before?
A.14.28
B.16.66
C.20
D.25
Answer: C.20
Explanation: Expenditure = Consumption * Price = CP
Now the price increases by 25% => Expenditure = C * (1.25P)
Let C1 be the new consumption such that the expenditure remains the same.
C* P = C1 * (1.25P)
C1 = 0.8 C
20% reduction in consumption is needed.
ANSWER:C
Question: A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 6 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold?
A.480
B.287
C.720
D.270
Answer: C.720
Explanation: 1/x - 1/20 = -1/24
x = 120
120 * 6 = 720
Answer: C
Question: A man purchased a grinder for Rs. 640 and sold it at a profit of 15%. The selling price is:
A.Rs. 736
B.Rs. 812
C.Rs. 684
D.None of these
Answer: A.Rs. 736
Explanation: s.p.=115/100 × 640=736
Answer: A
Question: In an examination, 35% of total students failed in Hindi, 45% failed in English and 20% in both. The percentage of these who passed in both the subjects is :
A.10%
B.20%
C.30%
D.40%
Answer: D.40%
Explanation: pass percentage = 100 - (35+45-20) = 100-60 = 40
ANSWER:D
Question: In 24 minutes, the minute hand gains over the hour hand by
A.16°
B.80°
C.108°
D.132°
Answer: D.132°
Explanation: In one hour, the hour hand moves 30°, which is 0.5° each minute.
In one hour, the minute hand moves 360°, which is 6° each minutes.
The minute hand gains 5.5° each minute.
In 24 minutes, the minute hand gains 24 * 5.5° = 132°.
The answer is D.
Question: How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated?
A.5
B.4
C.20
D.25
Answer: C.20
Explanation: Since each desired number is divisible by 5, so we must have 5 at the unit place. So, there is 1 way of doing it.
The tens place can now be filled by any of the remaining 5 digits (2, 3, 6, 7, 9). So, there are 5 ways of filling the tens place.
The hundreds place can now be filled by any of the remaining 4 digits. So, there are 4 ways of filling it.
Required number of numbers = (1 x 5 x 4) = 20.
ANSWER C
Question: Because he’s taxed by his home planet, Mork pays a tax rate of 40% on his income, while Mindy pays a rate of only 30% on hers. If Mindy earned 4 times as much as Mork did, what was their combined tax rate?
A.32%
B.34%
C.35%
D.36%
Answer: A.32%
Explanation: Let x be Mork's income, then Mindy's income is 4x.
The total tax paid is 0.4x + 1.2x = 1.6x
1.6x / 5x = 0.32
The answer is A.
Question: If a boat goes 7 km upstream in 42 minutes and the speed of the stream is 4 kmph, then the speed of the boat in still water is :
A.2.5 km/hr
B.4.2 km/hr
C.3 km/hr
D.10.5 km/hr
Answer: C.3 km/hr
Explanation: Solution
Speed of stream = 1/2 (14-8) km/hr= 3kmph . Answer C
Question: A boat goes 130 km downstream in 10 hours, and 75 Km upstream in 15 hours. The speed of the stream is?
A.3.5
B.3
C.5
D.4
Answer: D.4
Explanation: 125 --- 10 DS = 130
? ---- 1
75 ---- 15 US = 5
? ----- 1 S = (13 - 5)/2
= 4 kmph.
Answer:D
Question: Last year Sandy saved 6% of her annual salary. This year, she made 10% more money than last year, and she saved 8% of her salary. The amount saved this year was what percent of the amount she saved last year?
A.132%
B.147%
C.158%
D.176%
Answer: B.147%
Explanation: Let last year's salary be x.
Last year, Sandy save 0.06x
This year, Sandy saved 0.08*1.1x = 0.088x
0.088x / 0.06x = 88/60 = 1.47 = 147%
The answer is B.
Question: Train J and K, 455 miles apart, are traveling toward each other at constant rates and in the same time zone. If train J left at 4 pm traveling at a speed of 60 miles per hour, and train K left at 5:45 pm and traveling at 45 miles per hour, then at what time would they pass each other?
A.9.05pm
B.2.05pm
C.1.05pm
D.6.05pm
Answer: A.9.05pm
Explanation: First, since J has a headstart then in that 1hr45min or 1.75hrs he travels 105 miles
Then remaining distance to be traveled will be 455 - 105 = 350 miles
Now, using relative rates (105)(t) = 350
This gives 10/3 hours
Now 5.45pm + 10/3 hours gives us 9.05pm
Hence answer is A
Question: The surface of a cube is 294sq cm. Find its volume?
A.8cc
B.9cc
C.2cc
D.343cc
Answer: D.343cc
Explanation: 6a2 = 294 = 6*49
a = 7 => a3 = 343cc
Answer: D
Question: With a uniform speed a car covers the distance in 8 hours. Had the speed been increased by 4 km/hr, the same distance could have been covered in 7 1/2 hours. What is the distance covered?
A.347
B.480
C.288
D.278
Answer: B.480
Explanation: Let the distance be x km. Then,
x/(7 1/2) - x/8 = 4
2x/15 - x/8 = 4 => x = 480 km.
Answer: B
Question: Warner Bros company plans to assign identification numbers to its employees. Each number is to consist of four different digits from 0 to 9, inclusive, except that the first digit cannot be 0. How many different identification numbers are possible?
A. 3,024
B. 4,536
C. 5,040
D. 9,000
Answer: B. 4,536
Explanation: Warner Bros company plans to assign identification numbers to its employees.The first digit can take 9 values from 1 to 9 inclusive;
The second digit can also take 9 values (9 digits minus the one we used for the first digit plus 0);
The third digit can take 8 values;
The fourth digit can take 7 values.
Total = 9*9*8*7 = something with the units digit if 6.
Answer: B.
Question: A train moves at 80kmph to reach destination point of 640km. Find the time taken to travel.
A.8
B.7
C.9
D.6
Answer: A.8
Explanation: Length = Speed * time
Time= L/S
Time =640km/80kmph
Time =8Hrs
Ans: (A )
Question: The workforce of Company X is 40% female. The company hired 20 additional male workers, and as a result, the percent of female workers dropped to 50%.How many employees did the company have after hiring the additional male workers?
A.480
B.500
C.520
D.460
Answer: C.520
Explanation: let x be the total worker then 0.4x =female worker and 0.6x is male worker then 20 male worker added
04x/(0.6x +20) = 50/100 or 40x = 50*( 0.6x+100) = 30x+ 5000 or 10x = 5000 , x = 500
total worker = 500 +20= 520
C
Question: The triplicate ratio of 1:7 is?
A.1:7
B.1:8
C.1:343
D.1:1
Answer: C.1:343
Explanation: 1^3: 7^3 = 1:343
Answer: C
Question: Roberto has three children: two girls and a boy. All were born on the same date in different years. The sum of the ages of the two girls today is smaller than the age of the boy today, but a year from now the sum of the ages of the girls will equal the age of the boy. Six years from today, the difference between the age of the boy and the combined ages of the girls will be
A.1
B.2
C.-3
D.–5
Answer: D.–5
Explanation: Approach I (Plugin's)
Girl I ............... Girl II ................ Boy
1 ....................... 1 ........................ 3 (Assume the current ages)
1 + 1 < 3 .......... (Satisfies the given condition)
1 Year later there ages are
2 ....................... 2 ......................... 4
2 + 2 = 4 ............ (Satisfies the given condition)
After 6 years there ages are
7 ....................... 7 ............................ 9
Difference = 9 - (7+7) = 9 - 14 = -5
Answer = D
Question: 1852 - 1230 ÷ 10.00 = ?
A.62.2
B.2000
C.1700
D.1729
Answer: D.1729
Explanation: Answer
Given expression = 1852 - 1230 ÷ 10.00
= 1852 - 123
= 1729
Correct Option: D
Question: A stock trader originally bought 300 shares of stock from a company at a total cost of m dollars. If each share was sold at 60% above the original cost per share of stock, then interns of m for how many dollars was each share sold?
A.a) 2m/300
B.b) m/300
C.c) 5m/900
D.d) m/300 + 50
Answer: C.c) 5m/900
Explanation: Let Cost of 300 shares be $ 3000
So, Cost of 1 shares be $ 10 =>m/300
Selling price per share = (100+60)/100 * m/300
Or, Selling price per share = 5/3 * m/300 => 5m/900
Hence answer will be (C)
Question: The speed of a car is 140 km in the first hour and 40 km in the second hour. What is the average speed of the car?
A.72 kmph
B.75 kmph
C.30 kmph
D.90 kmph
Answer: D.90 kmph
Explanation: S = (140 + 40)/2
= 90 kmph
ANSWER:D
Question: A pineapple costs Rs 7 each and a watermelon costs Rs. 5 each. If I spend Rs 38 on total what is the number of pineapple I purchased?
A.7
B.6
C.5
D.2
Answer: D.2
Explanation: Explanation:
The equation for this problem can be made as:
5x + 7y =38
Where x is the number of watermelons and y is the number of pineapples.
Now test for 2, 3 and 4:
For y = 2
5x + 14 =38
x is not an integer
For y = 3
5x = 17
X not an integer
For y =4
X = 2
So 4 pineapples and 2 watermelons can be bought by 38 Rs.
ANSWER:D
Question: Lucy invested $10,000 in a new mutual fund account exactly three years ago. The value of the account increased by 10 percent during the first year, increased by 5 percent during the second year, and decreased by 30 percent during the third year. What is the value of the account today?
A.$10,350
B.$8,050
C.$10,500
D.$11,500
Answer: B.$8,050
Explanation: Value after 1 year: 10,000 * 1.1 = 11,000
Value after 2 years: 11,000 * 1.05 = 11,550
Value today: 11,550 * 0.7 = 10,395
Answer B is correct.
Question: A train 125 m long passes a man, running at 3 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?
A.48
B.50
C.28
D.26
Answer: A.48
Explanation: Speed of the train relative to man = (125/10) m/sec = (25/2) m/sec. [(25/2) * (18/5)] km/hr = 45 km/hr. Let the speed of the train be x km/hr. Then, relative speed = (x - 3) km/hr. x - 3 = 45 ==> x = 48 km/hr
Answer: A
Question: A, B and C are partners in a business. Their capitals are respectively, Rs.5000, Rs.6000 and Rs.4000. A gets 30% of the total profit for managing the business. The remaining profit is divided among three in the ratio of their capitals. In the end of the year, the profit of A is Rs.200 more than the sum of the profits of B and C. Find the total profit.
A.1987
B.2799
C.3288
D.3000
Answer: D.3000
Explanation: A:B:C = 5:6:4
Let the total profit = 100 - 30 = 70
5/15 * 70 = 70/3
A share = 70/3 + 30 = 160/3
B + C share = 100 - 160/3 = 140/3
A-(B+C) = 160/3 - 140/3 = 20/3
20/3 ---- 200
100 ---- ? => 3000
Answer: D
Question: A company hired a printer to produce a total of x + 1 envelopes. The job consisted of two types of envelopes, 2¢ envelopes and 3¢ envelopes. If the company requested 1 more 2¢ envelopes than 3¢ envelopes, which of the following expressions denotes the cost, in cents, of the total x + 1 envelopes ?
A.(7x-4)/2
B.5x+7
C.4x-1
D.(3x+22)/2
Answer: A.(7x-4)/2
Explanation: We can take
X+1 = 5
X= 4
So 2c envelopes will be 3
and 3c envelopes will be 2
So total cost will be 12
Then that is our target
Plug x =4 in answer choices
Only A works
Correct Answer : A
Question: A list of measurements in increasing order is 4, 5, 6, 8, 10 and x. If the median of these measurements is 3/4 times their arithmetic mean, what is the value of x?
A.17
B.19
C.21
D.23
Answer: D.23
Explanation: The median is (6+8)/2 = 7
The mean is (4+5+6+8+10+x)/6 = (33+x)/6
(33+x) /6 * 3/4 = 7
x = 56-33 = 23
The answer is D.
Question: Evaluate 49 / .07
A.400
B.500
C.700
D.None of these
Answer: C.700
Explanation: Explanation:
49/.07 = 4900/7 = 700
Option C
Question: What is the remainder when 43^91 is divided by 5?
A.0
B.1
C.2
D.3
Answer: C.2
Explanation: The units digit of the exponents of 3 cycle in a group of 4: {3, 9, 7, 1}
91 has the form 4k+3 so the units digit of 43^91 is 7.
The remainder when dividing by 5 is 2.
The answer is C.
Question: If x = 5 - q and y = 3q - 1, then for what value of q, x is three times to y ?
A.0
B.1
C.-1
D.-8
Answer: B.1
Explanation: Explanation:
x = 3y <=> 5 - q = 3 (3q - 1) <=> 5 - q = 9q - 3 <=> 8q = 8 <=> q = 1.
Answer: B
Question: Jimâ€™s Taxi Service charges an initial fee of $2.5 at the beginning of a trip and an additional charge of $0.35 for each 2/5 of a mile traveled. What is the total charge for a trip of 3.6 miles?
A.$3.15
B.$4.45
C.$4.80
D.$5.65
Answer: D.$5.65
Explanation: Let the fixed charge of Jimâ€™s Taxi Service = 2.5 $
and charge per 2/5 mile(.4 mile) = .35$
Total charge for a trip of 3.6 miles = 2.5 + (3.6/.4) * .35
= 2.5 + 9*.35
= 5.65 $
Answer D
Question: Which of the following CANNOT be the median E of the four consecutive positive integers w, x, y, and z, where w < x < y < z ?
A.(w+x)/2 - 1
B.(w+z)/2
C.(x+y)/2
D.(y+z)/2 -1
Answer: A.(w+x)/2 - 1
Explanation: Using the properties of consecutive positive integers we could right away eliminate B,C and E.
(B) - The average of first and last terms is the median
(C) - For even number of integers, the median is the average of middle terms
(E) - The average is equal to median if the integers are consecutive
Remaining answer choices are A and D.
For A, the average of first two consecutive numbers (w,x) will definitely be less than x making it impossible to be a median E.
Answer (A)
Question: E individuals pledged to pay equal contributions so that a charity’s goal of $x could be reached. If d of the contributors failed to pay their share, which of the following represents the additional number of dollars that each of the remaining individuals would have to pay in order to allow the charity to reach its goal?
A.E-d
B.dx/E
C.dx
D.dx/E(E - d)
Answer: D.dx/E(E - d)
Explanation: Number of individuals = E
Amount paid by each individual = n
Total expected amount = Charity's goal = nE = x
n = x/E
Number of individuals who fail to pay = d
Contribution from individuals who would fail to pay = dx/E --> Additional amount
Number of individuals who are paying = E - d
Additional amount has to be divided among the (E - d) individuals --> dx/E(E - d)
D
Question: In how many ways can live boys and three girls sit in a row such that all boys sit together?
A.2888
B.2887
C.2880
D.2886
Answer: C.2880
Explanation: Treat all boys as one unit. Now there are four students and they can be arranged in 4! ways. Again five boys can be arranged among themselves in 5! ways.
Required number of arrangements = 4! * 5! = 24 * 120 = 2880.
Answer:C
Question: A fair 8-sided dice labeled 1 to 8 is tossed three times. What is the probability the value of the dice shown is 3 at least once?
A.57/512
B.7/512
C.55/512
D.9/512
Answer: A.57/512
Explanation: This is a fair dice with 8 fair sides, so the probability of the dice landing on any sides is equal.
The question ask if the value of the dice is shown 3 at least once
So the calculation of the first possible outcomes is 1/8*1/8*1/8 (all of the dice thrown shown the value of 3)
This is follow by the second possible outcomes if the dice thrown show the value of 3 2 times ( 1/8*1/8*7/8) *7 here referring to any number besides 3
The third possible outcomes is that the dice show the value 3 one time ( 1/8*7/8*7/8)
So the answer is 1/512+7/512+49/512= 57/512
Answer: A
Question: The simple interest on a sum of money will be Rs.400 after 10 years. If the principal is trebled after 5 years what will be the total interest at the end of the tenth year?
A.800
B.3799
C.1200
D.2693
Answer: A.800
Explanation: P --- 10 ---- 400
P --- 5 ----- 200
3P --- 5 ----- 600
------
=> 800
Answer: A
Question: If 'Pink' is called 'Orange', 'Orange' is called 'Blue', 'Blue' is called 'Red', 'Red' is called 'Green', 'Green' is called 'Black' and 'Black' is called 'white', what would be the color of the sky ?
A.Red
B.BLUE
C.PINK
D.ORANCE
Answer: A.Red
Explanation: Explanation:
Pink → Orange
Orange → Blue
Blue → Red
Red → Green
Green → Black
Black → White
The color of the sky is 'Blue' but in coding language, 'Blue' is called 'Red'.
ANSWER: A
Question: c.	What number should replace the letter K?
2, 2, 4, 12, 12, 24, 72, 72, 144, 432, K
A.866
B.864
C.434
D.432
Answer: D.432
Explanation: The sequence progresses x1, x2, x3 repeated; The letter K should be 432 x 1 = 432.
Ans D = 432
Question: In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 20, the dividend is:
A.1000
B.1200
C.1020
D.100
Answer: C.1020
Explanation: Divisor = (5 * 20) = 100
= 10 * Quotient = Divisor
=> Quotient = 100/10 = 10
Dividend = (Divisor * Quotient) + Remainder
Dividend = (100* 10) + 20 = 1020.
C
Question: Four representatives are to be randomly chosen from a committee of six men and six women. How many different 4-representative combinations contain at least one woman?
A.400
B.415
C.455
D.480
Answer: D.480
Explanation: 12*11*10*9/4*3*2*1=11*5*9=495
Forbidden options
6*5*4*3/4*3*2*1=5*3=15
495-15=480
ANS:D
Question: Tough and Tricky questions: Word Problems.
ACT Car Company wants to manufacture a new car known as Model X, and it is trying to determine how many cars it needs to sell in order to make an annual profit of $30,500,000. The annual fixed costs for Model X total $50,200,000. In addition, each Model X car has an average cost of $5,000 per vehicle to manufacture. If the Company forecasts it will sell 20,000 Model X cars this year, at what price must the Company sell the car to achieve the desired annual profit?
A.$4,035
B.$4,036
C.$9,035
D.$16,140
Answer: C.$9,035
Explanation: The ACT company plans to make a profit of $30,500,000 and it needs to earn the fixed costs of $50,200,000, so it needs to earn $80,700,000 on top of the costs for the production of the 20,000 cars.
Therefore, price of each car needs to be the unit costs plus $80,700,000/20,000. After removing the 0's, we end with the unit costs plus $8,070/2, which is $5,000 plus $4,035. Therefore, Answer C is correct.
Question: What is the probability of getting a queen or spade from a set of cards?
A.3/13
B.4/13
C.5/13
D.6/13
Answer: B.4/13
Explanation: no. of spade = 13
no. of queen = 3 (excluding queen of spade)
no. of possible outcome = 13+3 = 16
probability = no. of favorable outcome/ total possible outcomes = 16/52 = 4/13
ANSWER:B
Question: In a certain game, each player scores either 2 or 5 points. If n players score 2 points and m players score 5 points and the total number of points scored is 65, what is the least possible difference between n and m.
A.a.1
B.b.3
C.c.5
D.d.6
Answer: D.d.6
Explanation: 2n+5m=65
try with n=5 and m=11 the equation will be satisfied
2(5)+5(11)=65
so difference between M and N is 6,
Answer D
Question: The set X consists of the following terms: {4,44,444,4444,.....}, where the nth term has n 4's in it for example 10th term is 4444444444. What is the hundreds digit of the sum of the first 25 terms of set X?
A.0
B.2
C.4
D.6
Answer: B.2
Explanation: 25*4 + 24*40 + 23*400 = 100 + 960 + 9200 = 10260
The hundreds digit is 2.
The answer is B.
Question: Set X is composed of nine numbers, labeled X1 through X9. Set Y is also composed of nine numbers, labeled Y1 through Y9. Set Y is defined as follows: Y1 = 1 + X1; Y2 = 2 + X2; and so on, including Y9 = 9 + X9. How much larger is the sum of set Y's mean and range than the sum of set X's mean and range?
A.cannot be determined
B.4
C.9
D.5
Answer: A.cannot be determined
Explanation: Yes, the correct answer is A
Question: Rohit spends 40 % of his salary on food, 20% on house rent,10% on entertainment and 10% on conveyance. If his savings at the end of the month are Rs. 1500, Then his monthly salary is:
A.Rs.6000
B.Rs. 7500
C.Rs. 8000
D.Rs. 9,000
Answer: C.Rs. 8000
Explanation: Saving = [100 – (40 + 20 +10 + 10)] %
= 20 %
Let the monthly salary be Rs. X
Then,
20% of X = 1500 ¡ê 20X / 100 = 1500
X = 1500 x 5 = 7500
X = 7500
answer : C
Question: The largest number among st the following that will perfectly divide 101^100 – 1 is:
A.9,000
B.9900
C.10,000
D.11,000
Answer: C.10,000
Explanation: The easiest way to solve such problems for objective exam purposes is trial and error or by back
substituting answers in the choices given.
1012 = 10,201
1012 − 1 = 10,200.
This is divisible by 100.
Similarly try for 1013 − 1 = 1,030,301−1 = 1,030,300.
So you can safely conclude that (1011 − 1) to (1019 − 1) will be divisible by 100.
(10110 − 1) to (10199 − 1) will be divisible by 1000.
Therefore, (101100 − 1) will be divisible by 10,000.
C
Question: If x : y = 2 : 9, find the value of (2x + 2y) : (5x – y)
A.22:1
B.22:3
C.7:1
D.5:3
Answer: A.22:1
Explanation: Explanation:
Given: x/y = 2/9
(2x + 2y) : (5x – y)
= (2*2 + 2*9) : (5*2 – 9)
= 22:1
ANSWER: A
Question: If x is 13 percent greater than 80, then x =
A.88.8
B.90.4
C.88.0
D.70.9
Answer: B.90.4
Explanation: 13% of 80 = (80*0.13) = 10.4
11% greater than 80 = 80 + 10.4 = 90.4
Answer is clearly B.