divelab/Sys2Bench huggingface dataset:
Question: If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area?
Options:
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
Question: Find the area of a parallelogram with base 60 cm and height 16 cm?
Options:
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
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?
Options:
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
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?
Options:
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
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?
Options:
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
Question: Find the largest number of four digits exactly divisible by 12,15,18 and 27.
Options:
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
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?
Options:
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
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?
Options:
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
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?
Options:
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
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):
Options:
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
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?
Options:
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
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
Options:
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
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?
Options:
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
Question: What will come in place of the x in the following Number series? 5,28,57,88,125
Options:
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
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?
Options:
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
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?
Options:
A)31
B)41
C)51
D)61
E)65
Rationale: LCM = 30 => 30 + 1 = 31
ANSWER:A
Answer: A
Question: Sum of the numbers from 1 to 18 is
Options:
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
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?
Options:
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
Question: Select the number that is equal to the square root of 8?
Options:
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
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?
Options:
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
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?
Options:
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
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?
Options:
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
Question: A semicircle has a radius of 10. What is the approximate perimeter of the semicircle?
Options:
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
Question: If f(x) = 12 - x^2/2 and f(2k) = 3k, what is one possible value for k?
Options:
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
Question: A train 360 m long can cross an electric pole in 30 sec and then find the speed of the train?
Options:
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
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?
Options:
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
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?
Options:
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
Question: Which of these following integers is the square of an integer?
Options:
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
Question: Average of five numbers is 32. If one number is excluded the average becomes 23. The excluded number is
Options:
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
Question: If n is an integer, then the least possible value of |15 - 8n| is?
Options:
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
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 = ?
Options:
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
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?
Options:
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
Question: The average of first 10 natural numbers is?
Options:
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
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?
Options:
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
Question: Find number which is 50% less than 60.
Options:
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
Question: If x is an integer and y = 3x + 5, which of the following CANNOT be a divisor of y?
Options:
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
Question: What percent of a day is 12 hours?
Options:
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
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??
Options:
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
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.
Options:
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
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?
Options:
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
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?
Options:
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
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?
Options:
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
Question: The number of sailors on a ship is 80% more than the number of officers. The ratio of sailors to officers would be
Options:
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
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?
Options:
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
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 ?
Options:
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
Question: Which of the following could be the value of x + y, if both (x + 1/5) and (y – 3/4) are positive integers?
Options:
A)13/5
B)51/20
C)31/20
D)21/20
E)13/20
Rationale: for (x+1/5) to be an integer, least possible value x can take is 4/5
for (y- 3/4) to be an integer, least value y could take is 7/4
x + y => 4/5+7/5 = 51/20
Answer: Option B
Answer: B
Question: A tradesman by means of his false balance defrauds to the extent of 80%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
Options:
A)240%
B)180%
C)200%
D)224%
E)220%
Rationale: g% = 80 + 80 + (80*80)/100
= 224%
ANSWER:D
Answer: D
Question: For any a and b that satisfy |a – b| = b – a and a > 0, then |a + 7| + |-b| + |b – a| + |ab| =
Options:
A)a-2b-7
B)ab + 2b + 7
C)a+b+7
D)2a-2b+8
E)3a-3b-7
Rationale: Observation-1: |a – b| = b – a
which is possible only when signs of a and b are Same
Since Given a > 0
so we figure out that a and b are both positive
Observation-2: |a – b| must be Non-Negative and so should be the value of b-a which is possible only when absolute value of b is greater than or equal to absolute value of a
Now you may choose the values of a and b based on above observations
e.g. b = 7 and a=1 and check the value of given functions and options
|a + 7| + |-b| + |b – a| + |ab| = |1 + 7| + |-7| + |7 – 1| + |1*7| = 28
ab + 2b + 7= 1*7+14+7=28
all other options are not equal to 28
Answer : B
Answer: B
Question: If ‘+’ means ‘×’, ‘-‘ means ‘+’, ‘×’ means ‘÷’ and ‘÷’ means ‘-‘ then find the value of;
6 – 9 + 8 × 3 ÷ 15 =
Options:
A)6
B)10
C)12
D)-2
E)15
Rationale: E 15
Answer: E
Question: If a particular is never chosen, in how many ways can a cricketbe chosen out of 15 players?
Options:
A)223
B)245
C)364
D)354
E)465
Rationale: A particular players is never chosen, it means that 11 players are selected out of 14 players.
=> Required number of ways = 14C11
= 14!/11!x3! = 364
C
Answer: C
Question: Total 15 cows 5 cow gives each 2 liter milk 5 cow gives each 3/4 liter milk 5 cow gives each 1/4 liter milk this is split into 3 son per each 5 cows & 5 liter milk how?
Options:
A)10
B)5
C)15
D)7.5
E)12.5
Rationale: 5 cow 2 liter each =10 liter
5 cow 3/4 liter each= 3/4=0.75*5=3.75
5 cow 1/4 liter each = 1/4=0.25*5=1.25
add 10+3.75+1.25=15
milk split into 3 son each 5 liter then 15/3=5
ANSWER:B
Answer: B
Question: workers decided to raise Rs.3 lacs by equal contribution from each. Had they contributed Rs.50 eachextra, the contribution would have been Rs.3.75 lacs . How many workers were they?
Options:
A)220
B)230
C)500
D)1500
E)590
Rationale: N * 50 = (375000 - 300000) = 75000
N = 75000 / 50
= 1500
D
Answer: D
Question: The simple interest on a sum of money will be Rs.600 after 10 years. If the principal is trebled after 5 years what will be the total interest at the end of the tenth year?
Options:
A)1200
B)1227
C)2788
D)2767
E)2971
Rationale: P --- 10 ---- 600
P --- 5 ----- 300
3P --- 5 ----- 900
------
=> 1200
Answer: A
Answer: A
Question: By selling an umbrella for Rs. 300, a shop keeper gains 30%. During a clearance sale, the shopkeeper allows a discount of 10% on the marked price. His gain percent during the sale is?
Options:
A)25%
B)22.2%
C)28.57%
D)23%
E)24%
Rationale: Marked price = Rs. 300
C.P. = 100/130 * 300 = Rs. 210
Sale price = 90% of Rs. 300 = Rs. 270
Required gain % = 60/210 * 100 =28.57%.
Answer: C
Answer: C
Question: Two trains are running at 40 kmph and 20 kmph respectively in the same direction.Fast train completely passes a man sitting in the slower train in 6 seconds.What is the length of the fast train?
Options:
A)23 m
B)23 2/9 m
C)27m
D)27 7/9m
E)33 1/3m
Rationale: relative speed=20kmph=50/9m/sec
length of the train=50/9*6=33 1/3
ANSWER:E
Answer: E
Question: If a particular player is never chosen, in how many ways can 11 cricket players be chosen out of 17 players?
Options:
A)4245
B)4256
C)4368
D)4370
E)4390
Rationale: A particular players is never chosen, it means that 11 players are selected out of 16 players.
=> Required number of ways = 16C11
= 4368
C
Answer: C
Question: Bus 1 and Bus 2 run between cities A and B. Bus 1 leaves city A at the same time Bus 2 leaves city B,
each at a constant rate of speed. Their first meeting is 40 miles from city A. After reaching their
respective destinations and immediately turning around, their second meeting is 30 miles from city B.
What is the distance in miles between city A and city B?
Options:
A)90
B)120
C)125
D)150
E)180
Rationale: let d=distance between cities A and B
bus 1 distance to first meeting=40 miles
bus 1 distance from first to second meeting=(d-40)+30=d-10 miles
bus 2 distance to first meeting=d-40 miles
bus 2 distance from first to second meeting=40+(d-30)=d+10 miles
because both buses take the same time for the pre-meeting leg, and
the same time for the inter-meeting leg, and their speeds remain
constant, their ratios between pre-meeting distance and inter-meeting
distance should be the same
therefore, 40/(d-10)=(d-40)/(d+10)
d^2=90d
d=90 miles
A
Answer: A
Question: A tap can fill a tank in 4 hours. After half the tank is filled three more similar taps are opened. What is the total time taken to fill the tank completely?
Options:
A)3 hrs 45 min
B)3 hrs 50 min
C)3 hrs 12 min
D)3 hrs 30 min
E)3 hrs 22 min
Rationale: Time taken by one tap to fill the tank = 2 hrs.
Part filled by the taps in 1 hour = 4 * 1/4 = 1
Remaining part = 1 - 1/2 = 1/2
1 : 1/2 :: 1 : x
x = 1/2 * 1 * 1 = 1/2 hrs. i.e., 30 min
So, total time taken = 3 hrs 30 min.
ANSWER: D
Answer: D