mathewhe/aqua_rat huggingface dataset:
Question: P and Q started a business with respective investments of Rs. 4 lakhs and Rs. 10 lakhs. As P runs the business, his salary is Rs. 5000 per month. If they earned a profit of Rs. 2 lakhs at the end of the year, then find the ratio of their earnings?
(A) 1:5
(B) 1:0
(C) 1:3
(D) 1:1
(E) 1:2
Rationale: Ratio of investments of P and Q is 2 : 5
Total salary claimed by P = 12 * 5000 = Rs. 60000
Total profit = Rs. 2 lakhs.
Profit is to be shared = Rs. 140000
Share of P = (2/7) * 140000 = Rs. 400000
Share of Q = Rs. 100000
Total earnings of P = (60000 + 40000) = Rs. 100000
Ratio of their earnings =1:1
Answer: D
Answer: (D) 1:1
Question: A cube of side one meter length is cut into small cubes of side 10 cm each. How many such small cubes can be obtained?
(A) 10
(B) 100
(C) 1000
(D) 10000
(E) 100000
Rationale: Along one edge, the number of small cubes that can be cut
= 100/10 = 10
Along each edge 10 cubes can be cut. (Along length, breadth and height). Total number of small cubes that can be cut = 10 * 10 * 10 = 1000
Answer: Option C
Answer: (C) 1000
Question: in a tennis tournment there are 137 players .to decide the winner among them how many matches should be played among them.such that if a player losts the match he is not eligible for the next round
(A) 116
(B) 126
(C) 136
(D) 146
(E) 156
Rationale: 1 match = 1 player out.
2 match = 2 player out.
Like that,
136 match = 136 players out.
ANSWER:C
Answer: (C) 136
Question: Because of weight limits, a lorry can carry a maximum of 20 crates of apples. The weight of a crate of oranges is 3434 the weight of a crate of apples. If 10 crates of apples were loaded into the lorry, what is the maximum number of crates of oranges that the lorry can still accommodate?
(A) 8
(B) 9
(C) 12
(D) 13
(E) 14
Rationale: There's still room for 10 crates of apples. The weight of 10 crates of apples is the same as the weight of 10∗(4/3)=13 1/3 crates of oranges. Because the number of crates has to be an integer, the lorry can accommodate a maximum of 13 crates of oranges.
Answer: D
Answer: (D) 13
Question: A certain restaurant offers 8 different salads, 5 different main courses, 6 different desserts. If customers choose one salad, one main course and two different desserts for their meal, how many different meals are possible?
(A) 120
(B) 240
(C) 480
(D) 600
(E) 1200
Rationale: In order to select x things from group of n things can be written as nCx
8C1*5C1*6C2= 8*5*15=600 answer is D
Answer: (D) 600
Question: A and B together can do a piece of work in 6 days and A alone can do it in 9 days. In how many days can B alone can do it?
(A) 12 days
(B) 15 days
(C) 18 days
(D) 21 days
(E) 22 days
Rationale: Explanation:
A and B can do work 1/6 in 1 day
A alone can do 1/9 work in 1 day
B alone can do (1/6 -1/9) =1/18 work in 1 day
=> complete work can be done in 18 days by B
Answer: Option C
Answer: (C) 18 days
Question: The distance between two cities A and B is 330 km. A train starts from A at 8 a.m. and travel towards B at 60 km/hr. Another train starts from B at 9 a.m. and travels towards A at 75 Km/hr. At what time will they meet?
(A) 10
(B) 07
(C) 08
(D) 11
(E) 04
Rationale: Explanation :
Assume that they meet x hours after 8 a.m.
Then, train1,starting from A , travelling towards B, travels x hours till the trains meet
⇒Distance travelled by train1 in x hours = Speed ×Time = 60x
Then, train2, starting from B , travelling towards A, travels (x-1) hours till the trains meet
⇒Distance travelled by train2 in (x-1) hours = Speed ×Time = 75(x-1)
Total distance travelled = Distance travelled by train1 + Distance travelled by train2
=> 330 = 60x + 75(x-1)
=> 12x + 15(x-1) = 66
=> 12x + 15x - 15 = 66
=> 27x = 66 + 15 = 81
=> 3x = 9
=> x = 3
Hence the trains meet 3 hours after 8 a.m., i.e. at 11 a.m.
Answer : D
Answer: (D) 11
Question: What was the day of the week on 17th June 1998?
(A) Monday
(B) Sunday
(C) Wednesday
(D) Friday
(E) None of these
Rationale: Explanation :
17 Jun 1998 = (1997 years + period from 1-Jan-1998 to 17-Jun-1998)
We know that number of odd days in 400 years = 0
Hence the number of odd days in 1600 years = 0 (Since 1600 is a perfect multiple of 400)
Number of odd days in the period 1601-1900
= Number of odd days in 300 years
= 5 x 3 = 15 = 1
(As we can reduce perfect multiples of 7 from odd days without affecting anything)
Number of odd days in the period 1901-1997
= 73 normal years + 24 leap year
= 73 x 1 + 24 x 2 = 73 + 48 = 121 = (121 - 7 x 17) = 2 odd days
Number of days from 1-Jan-1998 to 17-Jun-1998
= 31 (Jan) + 28 (Feb) + 31 (Mar) + 30 (Apr) + 31(may) + 17(Jun)
= 168 = 0 odd day
Total number of odd days = (0 + 1 + 2 + 0) = 3
3 odd days = Wednesday
Hence 17th June 1998 is Wednesday. Answer : Option C
Answer: (C) Wednesday
Question: From a pack of cards two cards are drawn one after the other, with replacement. The probability that the first is a red card and the second is a king is?
(A) 1/26
(B) 1/23
(C) 1/22
(D) 1/97
(E) 1/27
Rationale: Let E1 be the event of drawing a red card.
Let E2 be the event of drawing a king .
P(E1 ∩ E2) = P(E1) . P(E2)
(As E1 and E2 are independent)
= 1/2 * 1/13
= 1/26
Answer:A
Answer: (A) 1/26
Question: If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area?
(A) 120 cm2
(B) 112 cm2
(C) 776 cm2
(D) 666 cm2
(E) 886 cm2
Rationale: The triangle with sides 26 cm, 24 cm and 10 cm is right angled, where the hypotenuse is 26 cm.
Area of the triangle = 1/2 * 24 * 10 = 120 cm2
Answer: A
Answer: (A) 120 cm2
Question: Find the area of a parallelogram with base 60 cm and height 16 cm?
(A) 960 cm2
(B) 240 cm2
(C) 480 cm2
(D) 45 cm2
(E) 250 cm2
Rationale: Area of a parallelogram
= base * height
= 60 * 16
= 960 cm2
Answer: A
Answer: (A) 960 cm2
Question: Anand and Deepak started a business investing Rs. 27,500 and Rs. 85,000 respectively. Out of a total profit of Rs. 45,800, Deepak's share is?
(A) Rs. 9400
(B) Rs. 34604.4
(C) Rs. 8400
(D) Rs. 3400
(E) Rs. 8440
Rationale: Ratio of their shares = 27500: 85000 = 11 : 34
Deepak's share = 45800* 34/45 = Rs. 34604.4
Answer:B
Answer: (B) Rs. 34604.4
Question: In a fuel station the service costs $2.20 per vehicle and every liter of fuel costs $0.70. Assuming that you fill up 4 mini-vans and 2 trucks, what will be the total cost, if a mini-van's tank is 65 liters and a truck's tank is 120% bigger and they are all empty?
(A) $382.10
(B) $395.40
(C) $404.30
(D) $416.80
(E) $426.50
Rationale: The service cost of 4 vans and 2 trucks is 6*2.20 $13.20
The fuel in 4 vans is 4*65 = 260 liters
The fuel in 2 trucks is 2*65*2.2 = 286 liters
The total fuel (vans + trucks) = 546 liters
The total fuel cost is 546*0.7 = $382.20
The total cost is $382.20 + $13.20 = $395.40
The answer is B.
Answer: (B) $395.40
Question: John has 13 ten-dollar bills, 11 five-dollar bills, and 17 one-dollar bills. If John needs to pay exactly $128, what is the least number of bills he will need to use?
(A) 14
(B) 16
(C) 17
(D) 19
(E) 20
Rationale: Any combination of ten-dollar and five-dollar bills cannot add up to amount ending with 8. John has to use at least 3 one-dollar bills. To gather the rest, $125, John needs to use a minimum of 13 bills: 12 ten-dollar bills and 1 five-dollar bill.
Answer: B
Answer: (B) 16
Question: Find the largest number of four digits exactly divisible by 12,15,18 and 27.
(A) 9720
(B) 8720
(C) 9870
(D) 9950
(E) None of them
Rationale: The Largest number of four digits is 9999.
Required number must be divisible by L.C.M. of 12,15,18,27 i.e. 540.
On dividing 9999 by 540,we get 279 as remainder .
Therefore, Required number = (9999-279) = 9720.
Answer is A.
Answer: (A) 9720
Question: Two pipes P and Q can fill a tank in 5 hours and 6 hours respectively. If both pipes are opened simultaneously, how much time will be taken to fill the tank?
(A) 4 hours 20 min
(B) 2 hours 44 min
(C) 3 hours 50 min
(D) 3 hours 22 min
(E) 3 hours 42 min
Rationale: Explanation:
Part filled by P in 1 hour = 1/5
Part filled by Q in 1 hour = 1/6
Part filled by (P + Q) in 1 hour = ( 1/5 + 1/6) = (11/30)
Time taken to fill the tank is (30/11) = 2 hours 44 min
ANSWER B
Answer: (B) 2 hours 44 min
Question: One red flower, three white flowers and two blue flowers are arranged in a line such that
I. No two adjacent flowers are of the same colour.
II. The flowers at the two ends of the line are of different colours.
In how many different ways can the flowers be arranged?
(A) 6
(B) 4
(C) 10
(D) 12
(E) 14
Rationale: The total possibilities are W@W@W@ (or) @W@W@W, where 2 blue and 1 red flowers occupy the space marked as @. Hence, the Total number of permutations is 2 x (3! / 2!) = 6.
ANSWER:A
Answer: (A) 6
Question: A and B together have Sterling 1210. If 4/15 of A's amount is equal to 2/5 of B's amount, how much amount does B have?
(A) Sterling 132
(B) Sterling 484
(C) Sterling 234
(D) Sterling 823
(E) Sterling 254
Rationale: B
Sterling 484
4/15A = 2/5B
A = (2/5 x 15/4)B
A = 3/2 B
A/B = 3/2
A : B = 3 : 2.
B's share = Sterling (1210 x 2/5) = Sterling 484.
Answer: (B) Sterling 484
Question: A man’s basic pay for a 40 hours’ week is Rs. 200. Overtimes is paid at 25% above the basic rate. In a certain week, he worked overtime and his total was Rs. 300. He therefore, worked for a total of (in hours):
(A) 56 hrs
(B) 55 hrs
(C) 57 hrs
(D) 59 hrs
(E) 46 hrs
Rationale: Basic pay = Rs 200 for 40 hrs or Rs 5 per hour
Overtime rate = 5*1.25= Rs 6.25 per hour.
He recd. Rs 100 extra for additional 100/6.25 = 16 hrs.
so he worked for total 40+16= 56 hrs in the week.
ANSWER:A
Answer: (A) 56 hrs
Question: A student's mark was wrongly entered as 83 instead of 63. Due to that the average marks for the class got increased by 1/2. What is the number of students in the class?
(A) 40
(B) 30
(C) 35
(D) 29
(E) 60
Rationale: Tot no of students = x
the avg marks increased 1/2 due to an increase of 83-63=20 marks
tot increase in the marks = 1/2*x=x/2
hence we can write as x/2 = 20
x=20*2=40
ANSWER A
Answer: (A) 40
Question: For every $10 that a billionaire spends, a millionaire spends the equivalent of 10 cents. For every $5 that a millionaire spends, a yuppie spends the equivalent of $1. The ratio of money spent by a yuppie, millionaire, and billionaire can be expressed as
(A) 1 : 5 : 100
(B) 1 : 5 : 500
(C) 20 : 4 : 1
(D) 100 : 4 : 1
(E) 400 : 4 : 1
Rationale: B.........M........Y
10.....0,10......Y
B.........5........1
What I did first was to turn 0.10 to 1 (by multiplying by 10), so that it is easy to find the LCM. This led me to this:
B.........M........Y
100.....1.........Y
B........50......10
Then I multiplied every row by 50 (the LCM of 1 and 50), which led me to this:
B.........M........Y
5000...50.......10
Then I got rid of the extra zero, and in the correct order this is Y:M:B=1:5:500
ANS B
Answer: (B) 1 : 5 : 500
Question: The sum of the two digits of a number is 10. If the number is subtracted from the number obtained by reversing its digits, the result is 54. Find the number?
(A) 20
(B) 24
(C) 28
(D) 32
(E) 33
Rationale: Any two digit number can be written as (10P + Q), where P is the digit in the tens place and Q is the digit in the units place.
P + Q = 10 ----- (1)
(10Q + P) - (10P + Q) = 54
9(Q - P) = 54
(Q - P) = 6 ----- (2)
Solve (1) and (2) P = 2 and Q = 8
The required number is = 28
C)
Answer: (C) 28
Question: What will come in place of the x in the following Number series? 5,28,57,88,125
(A) 134
(B) 154
(C) 166
(D) 178
(E) 189
Rationale: 28=23+5
57=29+28
88=31+57
125=37+88
166=41+125
=166
C
Answer: (C) 166
Question: In a clothing store, there are six different colored neckties (red, orange, yellow, green, blue, and indigo) and six different colored shirts (red, orange, yellow, green, blue, and indigo) that must be packed into boxes for gifts. If each box can only fit one necktie and one shirt, what is the probability that all of the boxes will contain a necktie and a shirt of the same color?
(A) 719/720
(B) 1/120
(C) 2/233
(D) 3/543
(E) 1/720
Rationale: 6 ties and 6 shirts...
red tie can take any of 6 shirts..
orange can take any of the remaining 5 shirts
yellow any of remaining 4..
and so on till last indigo chooses the 1 remaining..
Total ways= 6*5*4*3*2*1= 720
out of this 720, ONLY 1 way will have same colour tie and shirt..
prob = 1/720
ANSWER:E
Answer: (E) 1/720
Question: A heap of coconuts is divided into groups of 2, 3 and 5 and each time one coconut is left over. The least number of Coconuts in the heap is?
(A) 31
(B) 41
(C) 51
(D) 61
(E) 65
Rationale: LCM = 30 => 30 + 1 = 31
ANSWER:A
Answer: (A) 31
Question: Sum of the numbers from 1 to 18 is
(A) 210
(B) 171
(C) 220
(D) 105
(E) None of these
Rationale: Explanation: Sum of first n natural numbers = 1 + 2 + 3 + ..... n = n(n+1)/2
Substitute n = 18.
So S20=18Ã—19/2=171
Correct Option: B
Answer: (B) 171
Question: A certain factory produces buttons and buckles at a uniform weight. If the total weight of 2 buttons and 2 buckles is one third of 11 buckles and 3 buttons, then the weight of 3 buttons and 2 buckles is how many times that of 6 buckles and 6 buttons?
(A) 7/16.
(B) 4/9.
(C) 6/11.
(D) 5/9.
(E) 8/15.
Rationale: 2buttons + 2buckles = 1/3(11buckles + 3buttons)
6buttons + 6buckles = 11buckles + 3buttons
3buttons = 5buckles
Weight of 3buttons and 2buckles = 5buckles + 2buckles = 7buckles
Weight of 6buttons and 5buckles = 10buckles + 6buckles = 16buckles
(3buttons and 2buckles) = x * (6buttons and 5buckles)
7 = x*16
x = 7/16
Answer: A
Answer: (A) 7/16.
Question: Select the number that is equal to the square root of 8?
(A) 1.9
(B) 2.8
(C) 2.6
(D) 5.0
(E) 3.7
Rationale: The correct answer is 2.8
Let us take squares of all numbers
2.8*2.8=7.84
2.6*2.6=6.76
Difference
8 - 7.84=0.16
8 - 6.76=1.24
Since 0.16 is lesser of the both, 2.8 is closer
Answer is B
Answer: (B) 2.8
Question: Cheese, bologna, and peanut butter sandwiches were made for a picnic in a ratio of 5 to 7 to 8. If a total of 240 sandwiches were made, how many bologna sandwiches
were made?
(A) 84
(B) 30
(C) 38
(D) 42
(E) 48
Rationale: For deciding such task we should calculate all parts 5 + 7 + 8 = 20 parts
and we should calculate how many sandwiches holds 1 part:
240 / 20 = 12 sandwiches in one part
For bologna we have 7 parts so:
7 *12 = 84
Answer is A
Answer: (A) 84
Question: A rectangular grass field is 75 m * 55 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.2 per sq m?
(A) 1350
(B) 1971
(C) 9676
(D) 1679
(E) 2691
Rationale: Area = (l + b +2d) 2d
= (75 + 55 +2.5 * 2) 2*2.5 => 675
675 * 2 = Rs.1350
Answer:A
Answer: (A) 1350
Question: If B and C are digits and 8BC is a 4-digit number that is divisible by 4, which of the following is a possible product of B and C?
(A) 1
(B) 2
(C) 5
(D) 6
(E) 14
Rationale: Try with the options -
A. If BC = 1 , both B and C must be 1
B. If BC = 2 , either B or C must be 1 or 2 ; In that case sum of the digits will be 8 + 1 + 2 = 11 which is not divisible by 3
C. If BC = 5 , either B or C must be 1 or 5 ; In that case sum of the digits will be 8 + 1 + 5 = 14 which is not divisible by 3
D. If BC = 6 , then we can have the following possibilities
i. Either B or C must be 2 or 3 ; In that case sum of the digits will be 8 + 2 + 3 = 13 which is not divisible by 3
ii. Either B or C must be 1 or 6 ; In that case sum of the digits will be 8 + 1 + 6 = 15 which is divisible by 3
E. If BC = 14 , then either B or C must be 2 or 7 ; In that case sum of the digits will be 8 + 2 + 7 = 17 which is not divisible by 4
Thus answer is (D)
Answer: (D) 6
Question: A semicircle has a radius of 10. What is the approximate perimeter of the semicircle?
(A) 27
(B) 33
(C) 39
(D) 45
(E) 51
Rationale: The perimeter of a circle is 2*pi*r.
The perimeter of a semicircle is 2*pi*r/2 + 2r = pi*r + 2r
The perimeter is pi*10 + 2*10 which is about 51.
The answer is E.
Answer: (E) 51
Question: If f(x) = 12 - x^2/2 and f(2k) = 3k, what is one possible value for k?
(A) 2
(B) 3
(C) 4
(D) 6
(E) 8
Rationale: First of all, see thisGMAT blog postand check the related lesson linked below for some background on function notation.
We can plug anything in for x and get a result. You can find f(1), for example, by plugging in 1 where x is, and you would get 12 - 1/2 = 11.5. Or we could find f(2), which would be 12 - 4/2 = 10.
So the notation f(2k) means that we are going to plug a 2k in for x everywhere in the formula for f(x). That would be:
f(2k) = 12 - (2k)^2/2 = 12 - 2k^2.
Remember that we have to square both the 2 and the k, to get 4k2. Now, this expression, the output, we will set equal to 2k.
12 - 2k^2 = 2k --> k = -4 or k = 3.
All the answers are positive, so we choose k = 3.
Answer = B
Answer: (B) 3
Question: A train 360 m long can cross an electric pole in 30 sec and then find the speed of the train?
(A) 88 Kmph
(B) 43 Kmph
(C) 72 Kmph
(D) 16 Kmph
(E) 18 Kmph
Rationale: Length = Speed * time
Speed = L/T
S = 360/30
S = 12 M/Sec
Speed= 12*18/5 (To convert M/Sec in to Kmph multiply by 18/5)
Speed = 43 Kmph
Answer: B
Answer: (B) 43 Kmph
Question: If a is a positive integer, and if the units digit of a^2 is 1 and the units digit of (a+1)^2 is 4, what is the units digit of (a+2)^2?
(A) 1
(B) 3
(C) 5
(D) 7
(E) 9
Rationale: If the units digit of a^2 is 1, then the units digit of a is either 1 or 9.
If the units digit of (a+1)^2 is 4, then the units digit of a+1 is either 2 or 8.
To satisfy both conditions, the units digit of a must be 1.
Then a+2 has the units digit of 3, thus the units digit of (a+2)^2 will be 9.
The answer is E.
Answer: (E) 9
Question: Toby is four years younger than Debby. Thrice the sum of the ages of Toby and Debby equals their mother’s age. If the age of the mother is 48, find the ages of Toby and Debby?
(A) 10 and 14
(B) 5 and 9
(C) 5 and 10
(D) 6 and 10
(E) 12 and 16
Rationale: Let the age of Debby be x and Toby be x-4
3 ( x + x-4 ) = 44
x = 10
The ages of Toby and Debby are 6 and 10.
Answer : D
Answer: (D) 6 and 10
Question: Which of these following integers is the square of an integer?
(A) 23122819142
(B) 23306819348
(C) 23714819407
(D) 23235819489
(E) 23871819863
Rationale: The unit digit of any perfect square can not be 2, 3, 7, or 8.
The answer is D.
Answer: (D) 23235819489
Question: Average of five numbers is 32. If one number is excluded the average becomes 23. The excluded number is
(A) 35
(B) 45
(C) 68
(D) 65
(E) 67
Rationale: Explanation:
Number is (5*32) - (4*23) = 160-92= 68
Answer: Option C
Answer: (C) 68
Question: If n is an integer, then the least possible value of |15 - 8n| is?
(A) 0
(B) 2
(C) 1
(D) 3
(E) 5
Rationale: |15 - 8n| represents the distance between 15 and 8n on the number line. Now, the distance will be minimized when 8n, which is multiple of 8, is closest to 15. Multiple of 8 which is closest to 15 is 16 (for n = 2), so the least distance is 1: |15 - 16| = 1.
Answer: C.
Answer: (C) 1
Question: If below equations are true,
24 $ 6 = 64
35 $ 5 = 87
63 $ 7 = 99
Then based on similar logic what's the value of below equation
88 $ 8 = ?
(A) 1192
(B) 1129
(C) 1392
(D) 1611
(E) 3921
Rationale: D
1611
The number on the right side is formed as (sum of digits of the 1st number)(number1/number2)
example,
24 $ 6 = 64 (2+4 = 6) (24/6 = 4)
35 $ 5 = 87 (3+5=8) (35/5 = 7)
63 $ 7 = 99 (6+3 =9) (63/7 =9)
Simillarly,
88 $ 8 = (8+8 = 16) (88/8 = 11)
Answer: (D) 1611
Question: Ramesh start a bike at 1pm. and rides it at 50kmph. Mahesh started at 2pm with his car at 70kmph. When will Mahesh overtake Ramesh?
(A) 4:30pm
(B) 5:10
(C) 3:00
(D) 6:10
(E) 5:30
Rationale: Suppose bike is overtaken by car xhrs after 1pm
Distance covered by the bike in x hrs = distance covered by the car in x-1 hr
50x = 70(x-1)
20x = 70
x = 7/2 hrs
Required time = 1+3.5 = 4:30pm
Answer is A
Answer: (A) 4:30pm
Question: The average of first 10 natural numbers is?
(A) 4.9
(B) 5.5
(C) 2.7
(D) 5.1
(E) 2.5
Rationale: Explanation:
Sum of 10 natural no. = 110/2 = 55
Average = 55/10 = 5.5
Answer:B
Answer: (B) 5.5
Question: A 56 gallon solution of salt and water is 10% salt. How many gallons of water must be added to the solution in order to decrease the salt to 8% of the volume?
(A) 8
(B) 12
(C) 13
(D) 14
(E) 16
Rationale: Amount of salt = 5.6
Assume x gallons of water are added.
5.6 / 56 + x = 8/100
560 = 8x + 448
8x = 112
x = 14
Correct Option: D
Answer: (D) 14
Question: Find number which is 50% less than 60.
(A) 18
(B) 30
(C) 32
(D) 26
(E) 98
Rationale: Explanation:
50% less is 50% of the given number
Therefore, 50% of 60 is 30.
ANSWER: B
Answer: (B) 30
Question: If x is an integer and y = 3x + 5, which of the following CANNOT be a divisor of y?
(A) 4
(B) 12
(C) 2
(D) 7
(E) 6
Rationale: For any value of x, the expression 3x + 5 would never be divisible by 3,6,9...... onwards
So answer = 6 = E
Answer: (E) 6
Question: What percent of a day is 12 hours?
(A) 12Ã—1/2%
(B) 50%
(C) 18Ã—2/3%
(D) 22Ã—1/2%
(E) None
Rationale: Solution
Required percentage	= (12/24Ã—100)%
= 50%.
Answer B
Answer: (B) 50%
Question: A word processing program can shift from one width to another automatically.If a report originally filled 100 lines ,each of which 50 characters wide,how many would be filled where word processing margin set 40 character per line??
(A) 240
(B) 50
(C) 80
(D) 40
(E) 125
Rationale: 50 words in 100 lines
so, 40 words in ?
answer: 50/40*100=125 lines
ANSWER:E
Answer: (E) 125
Question: A person wants to buy 3 paise and 5 paise stamps costing exactly one rupee. If he buys which of the following number of stamps he won't able to buy 3 paise stamps.
(A) 5
(B) 10
(C) 15
(D) 18
(E) 20
Rationale: let 'x' be no. of 3p stamps & 'y' be no. of 5p stamps
therefr 3x+5y=100
he wont be able to buy 3p stamps iff he buys maximum quant of 5p stamps
i.e. y should be max and x min
thus lets take x=0
3(0)+5(y)=100
5y=100
y=20
thus , if he buys 20 5p stamps, he wont be able to buy 3p stamps... SIMPLE!!!
ANSWER:E
Answer: (E) 20
Question: Catherine worked for h hours each day for d consecutive days. If she earns $5.50 per hour, what is the total amount she earned?
(A) 5.50/d + h
(B) 5.50 + d + h
(C) 5.50 + dh
(D) 5.50h + d
(E) 5.50dh
Rationale: H hours for d days.
Income each day = 5.5*h
Total income = 5.5*h*d
Correct option: E
Answer: (E) 5.50dh
Question: The current of a stream runs at the rate of 4 kmph. A boat goes 6 km and back to the starting point in 2 hours, then find the speed of the boat in still water?
(A) 9 kmph
(B) 5 kmph
(C) 8 kmph
(D) 4 kmph
(E) 1 kmph
Rationale: S = 4
M = x
DS = x + 4
US = x - 4
6/(x + 4) + 6/(x - 4) = 2
x = 8
Answer:C
Answer: (C) 8 kmph
Question: In a restaurant, the profit is 140% of the cost. If the cost increases by 12% but the selling price remains constant, approximately what percentage of the selling price is the profit?
(A) 30%
(B) 53%
(C) 90%
(D) 100%
(E) None of these
Rationale: Explanation :
Let C.P.= Rs. 100. Then, Profit = Rs. 140, S.P. = Rs. 240.
New C.P. = 112% of Rs. 100 = Rs. 112
New S.P. = Rs. 240.
Profit = Rs. (240 - 112) = Rs. 128.
Required percentage = (128 /240 *100) % = 53 % appox
Answer : B
Answer: (B) 53%
Question: The number of sailors on a ship is 80% more than the number of officers. The ratio of sailors to officers would be
(A) 33:25
(B) 9:5
(C) 47:25
(D) 22:25
(E) 97:50
Rationale: Sailor = 1.80 * Officer
Sailor/Officer = 1.80/1 = 180/100 = 9/5
Answer will be B
Answer: (B) 9:5
Question: A collection of books went on sale, and 2/3 of them were sold for $3.25 each. If none of the 20 remaining books were sold, what was the total amount received for the books that were sold?
(A) $130
(B) $185
(C) $175
(D) $165
(E) $155
Rationale: If 20 books constitute 1/3rd of the total, then 2/3rd of the total = 40 books
Amount received for sold books = 40 * 3.25 = $130
Answer :A
Answer: (A) $130
Question: An industrial loom weaves 0.128 metres of cloth every second. Approximately, how many seconds will it take for the loom to weave 26 metre of cloth ?
(A) 175 seconds
(B) 195 seconds
(C) 155 seconds
(D) 115 seconds
(E) 203 seconds
Rationale: Explanation:
Let the time required by x seconds.
Then, More cloth means More time (Direct Proportion)
So,
0.128 : 1 :: 26 : x => x = {\color{Blue} \frac{26\times 1}{0.128}}
=> x = 203.13
So time will be approx 203 seconds
Answer: E
Answer: (E) 203 seconds