divelab/Sys2Bench huggingface dataset:
Question: Choose the missing terms out of the given alternatives.
DKY, FJW, HIU, JHS, ?
Options:
A)LGQ
B)KGR
C)LFQ
D)KFR
E)MED
Rationale: A
LGQ
The first letters are alternate. The second letter of moves one step backward to obtain the second letter of the successive term. The third letter moves two steps backward to obtain the third letter of the subsequent term.
Answer: A
Question: (51+52+53+………+100) is equal to:
Options:
A)2525
B)2975
C)3225
D)3775
E)3875
Rationale: (51+52+53+………+100) = (1+2+3+…….+100)- (1+2+3+4+……+50)
= (100*101)/2 - (50*51)/2
= (5050-1275)= 3775.
ANSWER:D
Answer: D
Question: In traveling from a dormitory to a certain city, a student went 1/5 of the way by foot, 2/3 of the way by bus, and the remaining 12 kilometers by car. What is the distance, in kilometers, from the dormitory to the city?
Options:
A)30
B)45
C)60
D)90
E)120
Rationale: Whole trip = distance by foot + distance by bus + distance by car
x = 1/5x + 2/3x + 12
x - 13/15x = 12
2/15x = 12 => so x = (15/2)*12 = 90Km
Answer D
Answer: D
Question: If 5 and 7 are prime numbers, which of the following CANNOT be the sum of 5 and 7?
Options:
A)12
B)13
C)24
D)36
E)48
Rationale: Ans :B
Answer: B
Question: In one hour, a boat goes 14 km/hr along the stream and 8 km/hr against the stream. The speed of the boat in still water (in km/hr) is:
Options:
A)12 km/hr
B)11 km/hr
C)10 km/hr
D)8 km/hr
E)None of these
Rationale: Explanation :
Let speed of the boat in still water = a and speed of the stream = b
Then
a + b = 14
a - b = 8
Adding these two equations, we get 2a = 22
=> a = 11
ie, speed of boat in still water = 11 km/hr. Answer : Option B
Answer: B
Question: A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12200 after a year?
Options:
A)3660
B)3637
C)3630
D)3631
E)3635
Rationale: 6300:4200:10500
3:2:5
3/10 * 12200 = 3660
Answer: A
Answer: A
Question: If p is an odd integer and q is an even integer, which of the following must be an even integer?
Options:
A)1+2p+2q^2
B)p+3q
C)2p+q
D)2p+q-1
E)3p-q+2
Rationale: p is odd; for this assume p=1
q is even; for this assume q = 2
1+(2*1)+2(2^2) = 11 Odd
1+(3*2) = 7 Odd
(2*1)+2 = 4 Even
(2*1)+2-1 = 3 Odd
(3*1)-2+2 = 3 Odd
Answer:C
Answer: C
Question: A and B can do a piece of work in 6 2/3 days and 5 days respectively. They work together for 2 days and then A leaves. In how many days after that B will complete the work alone?
Options:
A)1 1/9 days
B)1 1/2 days
C)1 3/2 days
D)1 2/2 days
E)1 5/2 days
Rationale: 3/20 * 2 + (2 + x)/5 = 1
x = 1 1/2 days
Answer: B
Answer: B
Question: The ratio between the number of sheep and the number of horses at the Stewar farm is 6 to 7. If each of horse is fed 230 ounces of horse food per day and the farm needs a total 12880 ounces of horse food per day. what is number sheep in the form??
Options:
A)18
B)28
C)32
D)48
E)58
Rationale: et no of sheep and horses are 6k and 7k
no of horses= 12880/230=56
now 7K=56 and k=8
no of sheep=(6*8) =48
ANSWER:D
Answer: D
Question: A worker earns $20 on the first day and spends $15 on the second day. The worker earns $20 on the third day and spends $15 on the fourth day. If this pattern continues, on which day will the worker first reach a net total of $100?
Options:
A)30
B)33
C)35
D)38
E)40
Rationale: Every two days, the net total is $5.
After 32 days, the worker will have $80.
On day 33, the worker will receive $20 for a net total of $100.
The answer is B.
Answer: B
Question: Lorna invests $9000, with some at 6% annual interest and some at 11% annual interest. If she receives a total of $580 from these investments at the end of a year, how much was invested at the 6% interest rate?
Options:
A)$160
B)$1,600
C)$2,200
D)$4,400
E)$1,800
Rationale: We have that 'x' invested at 6%
We also have that '9000-x' invested at 11%
Now then 580/9000 is approx 10%
Therefore, -4x+9000-x=0
5x=9000
x=1800 approximately. Probably higher
Only E matches
Answer: E
Question: Kamal started a business investing Rs.9000. After five months, Sameer joined with a capital of Rs.8000. If at the end of the year, they earn a profit of Rs.6970, then what will be the shares of sameer in the profit?
Options:
A)Rs.1883.78
B)Rs.2380
C)Rs.3690
D)Rs.3864
E)none
Rationale: Solution
Kamal : Sameer	=(9000×12):(8000 ×7)
= 108 : 56
= 27 : 14.
Sameer's share	= Rs.(6970 ×14/41)
=Rs.2380.
Answer B
Answer: B
Question: Mixture D is 20% oil and 80% material B by weight. If 2 more kilograms of oil are added to the 8 kilograms mixture D, how many kilograms of mixture D must be added to make a 70% material B in the new mixture?
Options:
A)A)6
B)B)7
C)C)8
D)D)9
E)E)10
Rationale: Can be done with weighted avg method.
if 2 kg more of oil is added to 20% oil of 8 kg mix,then a 10kg of mix will have 3.6kg (or 36%) of oil .
D1=20(initial mix.)
Avg. is what we need..ie 70% of material B means 30% of oil
D2=36(36% of 10 kg mix)
w1/w2=(D2-Avg)/(Avg-D1)
(36-30)/(30-20)
6/10
means for every 10 kg of new mix. we need 6 kg of mix D
Ans A
Answer: A
Question: How many three-digit numbers are there such that all three digits are different and the first digit and last digit is not zero?
Options:
A)576
B)648
C)720
D)729
E)810
Rationale: All three digits are different and first digit is not zero.
So first digit can be filled in 8 ways.
And, second digit can be filled in 9 ways.
And, third digit can be filled in 8 ways.
Total ways = 8*9*8
= 576
Hence option (A).
Answer: A
Question: If an article is sold at 19% profit instead of 12% profit, then the profit would be Rs. 105 more. What is the cost price?
Options:
A)$1740
B)$1560
C)$1500
D)$1800
E)$1600
Rationale: C
$1500
Let the cost price of an article be $ x.
(19% of x) - (12% of x) = 105
19x/100 - 12x/100 = 105 => 7x = 105 * 100
=> x = 1500
Cost price = $1500
Answer: C
Question: On flipping 2 coins together what is the outcomes for at least two heads?
Options:
A){HH}
B){TT}
C){HT}
D){TH}
E)None
Rationale: Sample space, S = {HH, TH, TH, TT}
Favorable outcomes for at least two heads
= favorable outcomes for exactly two heads and favorable outcomes for more than two heads
= {HH}
A
Answer: A
Question: In a class of 300 students, 100 study Spanish and 100 study French. If a student must study at least one of these two languages, what percent of the students study French but NOT Spanish?
Options:
A)80%
B)70%
C)67%
D)20%
E)10%
Rationale: No of students study french= 300- No of students study spanish = 300-100=200
% of the students study french but not spanish = (200/300)*100 % = 67 %
Answer : C
Answer: C
Question: If two sides of a triangle have lengths 3 and 5, which of the following could be the perimeter of the triangle?
I. 9
II. 15
III. 19
Options:
A)None
B)I only
C)II only
D)II and III only
E)I, II, and III
Rationale: The length of any side of a triangle must be larger than the positive difference of the other two sides, but smaller than the sum of the other two sides.
Therefore:
(5-3) < {third side} < (5+3).
2 < {third side} < 8.
Perimeter = {third side} + 3 + 5 = {third side} + 8.
10 < {perimeter} < 16.
Answer: C.
Answer: C
Question: An investment yields an interest payment of $225 each month. If the simple annual interest rate is 9%, what is the amount of the investment?
Options:
A)$30,000
B)$30,400
C)$31,300
D)$32,500
E)$35,100
Rationale: Let the principal amount = P
Simple annual interest = 9%
Simple monthly interest = (9/12) = (3/4)%
(3/4)*(P/100) = 225
=>P = (225 *4 * 10^2 )/3
= 75*4*10^2
= 300 * 10^2=30000
Answer A
Answer: A
Question: A contractor completed five-ninths of a job before a second contractor completed an additional one-third. What fraction of the job is left undone?
Options:
A)one-ninth
B)two-thirds
C)four-ninths
D)eight-ninths
E)none
Rationale: Ans is A
Fraction of Job completed = 5/9 + 1/3 = 5/9 + 3/9 = 8/9 Fraction left undone = 1 - 8/9 = 9/9 - 8/9 = 1/9 i.e. one-ninth
Answer: A
Question: A girl swims downstream 63 km and upstream 28 km taking 72 hours each time; what is the speed of the current?
Options:
A)0.5
B)1.5
C)2.1
D)2.5
E)5.2
Rationale: 63 --- 7 DS = 9
? ---- 1
28 ----7 US = 4
? ---- 1 S = ?
S = (9 - 4)/2 = 2.5
Answer: D
Answer: D
Question: Veena ranks 73rd from the top in a class of 182. What is her rank from the bottom if 35 students have failed the examination?
Options:
A)88
B)108
C)110
D)75
E)93
Rationale: total student=182
failed=35
paasd student=182-35=160
from bottom her rank is=147-73+1=75
ANSWER:D
Answer: D
Question: A seller has 1000 kg of rice part of which he sells at 8% profit and the rest at 18% profit. He gains 14%. The quantity sold at 18% profit is?
Options:
A)200 kg
B)300 kg
C)400 kg
D)600 kg
E)700 kg
Rationale: By rule of alligation,
Profit% by selling 1st part Profit% by selling 2nd part
8 18
Net % profit
14
18-14=4 14-8=6
=> Quantity of part1 : Quantity of part2 = 4 : 6 = 2 : 3
Total quantity is given as 1000 kg. So quantity of part2 (quantity sold at 18% profit)
=1000×35
= 600 kg
D
Answer: D
Question: In a certain city, 60 percent of the registered voters are Democrats and the rest are Republicans. In a mayoral race, if 65 percent of the registered voters who are Democrats and 20 percent of the registered voters who are Republicans are expected to vote for Candidate A, what percent of the registered voters are expected to vote for Candidate A ?
Options:
A)50%
B)53%
C)54%
D)55%
E)47%
Rationale: Say there are total of 100 registered voters in that city. Thus 60 are Democrats and 40 are Republicans.
60*0.65=39 Democrats are expected to vote for Candidate A;
40*0.20=8 Republicans are expected to vote for Candidate A.
Thus total of 39+8=47 registered voters are expected to vote for Candidate A, which is 47% of the total number of registered voters.
Answer: E.
Answer: E
Question: Every year Taylor goes to the same carnival, and he attempts to shoot a basketball into a small hoop, hoping that he will win a ten-foot tall teddy bear. If the probability that Taylor does not make a basket is 1/8, what is the probability that Taylor makes exactly one basket in three tries?
Options:
A)21/512
B)21/500
C)21/213
D)21/123
E)21/125
Rationale: Probability of basket = 7/8
Probability of no basket = 1/8
Required probability=3* 1/8*1/8*7/8
= 21/512
A is the answer.
Answer: A
Question: The ratio of the radius of two circles is 1: 3, and then the ratio of their areas is?
Options:
A)1: 5
B)1: 1
C)1: 9
D)1: 2
E)1: 8
Rationale: r1: r2 = 1: 3
Πr12: Πr22
r12: r22 = 1: 9.Answer: C
Answer: C
Question: In a apartment, 30% of the people speak English, 20% speak Hindi and 14% speak both. If a people is selected at random, what is the probability that he has speak English or Hindi?
Options:
A)1/35
B)2/35
C)9/25
D)12/19
E)3/17
Rationale: P (E) = 30 / 100 , P (H) = 20 / 100 and P (E âˆ© H) = 14 / 100 =
P (E or H) = P (E U H)
= P (E) + P (H) - P (E âˆ© H)
= (30 / 100) + (20/100 - (14 / 100) = 36/100 = 9/25
C
Answer: C
Question: A fort had provision of food for 150 men for 45 days. After 10 days, 25 men left the fort. The number of days for which the remaining food will last, is:
Options:
A)29	1/5
B)37	1/4
C)42
D)54
E)45
Rationale: we have food for 150 men for 45 days.
After 10 days food left for 150 men for 35 days.
so
150 : 35
now we have 125 men and x days
125 : 150 :: 35 : x
x = (150*35)/125 = 42 days.
ANSWER:C
Answer: C
Question: a, b, c and d are four consecutive numbers. If the sum of a and dis 105, what is the product of b and c?
Options:
A)2756
B)2578
C)2534
D)3354
E)4234
Rationale: A
Here d = a + 3
a + a + 3 = 105
2a = 102
a = 51
So, numbers are 51, 52, 53 and 54
∴ b × c= 52 × 53 = 2756
Answer: A
Question: A sum of money invested at C.I. amounts to Rs. 800 in 3 years to Rs. 840 in 4 years. The rate of interest per annum is?
Options:
A)7
B)6
C)5
D)4
E)2
Rationale: S.I. on Rs. 800 for 1 year = (840 - 800) = Rs. 40 Rate = (100 * 40)/(800 * 1) = 5%.Answer:C
Answer: C
Question: It takes one machine 2 hours to complete a production order and another machine 3 hours to complete the same order. How many hours would it take both amhcines working simultaneously at their respective rates to complete the order?
Options:
A)a) 7/12
B)b) 1 1/5
C)c) 1 5/7
D)d) 3 1/2
E)e) 7
Rationale: RT = W
Given:
R = 1/3 + 1/2 = 5/6
T = ?
W = 1
T = 1 / (5/6) = 6/5 = 1 1/5
Answer: B
Answer: B
Question: A clock is started at noon. By 10 minutes past 5, the hour hand has turned through:
Options:
A)145º
B)150º
C)155º
D)160º
E)165º
Rationale: Angle traced by hour hand in 12 hrs = 360º. Angle traced by hour hand in 5 hrs 10 min. i.e., 31/6 hrs ={(360/12) x (31/6)}º	= 155º. Answer : C
Answer: C
Question: The price of 2 sarees and 4 shirts is Rs. 1600. With the same money one can buy 1 saree and 6 shirts. If one wants to buy 12 shirts, how much shall he hThe price of 2 sarees and 4 shirts is Rs. 1600. With the same money one can buy 1 saree and 6 shirts. If one wants to buy 12 shirts, how much shall he have to pay ?ave to pay ?
Options:
A)2500
B)2700
C)2200
D)2900
E)2400
Rationale: Let the price of a saree and a shirt be Rs. x and Rs. y respectively.
Then, 2x + 4y = 1600 .... (i)
and x + 6y = 1600 .... (ii)
Divide equation (i) by 2, we get the below equation.
=> x + 2y = 800. --- (iii)
Now subtract (iii) from (ii)
x + 6y = 1600 (-)
x + 2y = 800
----------------
4y = 800
----------------
Therefore, y = 200.
Now apply value of y in (iii)
=> x + 2 x 200 = 800
=> x + 400 = 800
Therefore x = 400
Solving (i) and (ii) we get x = 400, y = 200.
Cost of 12 shirts = Rs. (12 x 200) = Rs. 2400.
Answer is E.
Answer: E
Question: The high temperature of a summer day on Fire Island is always one of three temperatures: 84, 85 or 86 degrees. If there is an equal chance of each temperature, what is the probability that the median high temperature over a three day period will be 85 degrees?
Options:
A)1/27
B)2/9
C)1/3
D)4/9
E)13/27
Rationale: Total number of ways:P 3*3*3 = 27
Possible permutations as 85 median
(85, 85, 85), or any permutation of all three.
Total number of permutations: 3 + (3*2*1) = 9
Therefore, 9/27 = 1/3
ANSWER:C
Answer: C
Question: In the rectangular coordinate system, what is the x-intercept of a line passing through (10, 3) and (−12, −8)?
Options:
A)4
B)2
C)0
D)−2
E)−4
Rationale: slope = rise/run = 11/22 = 1/2
The equation of the line is y = (1/2)x + b
3 = (1/2)(10) + b
b = -2
The equation of the line is y = (1/2)x - 2
To find the x-intercept, let y = 0:
0 = (1/2)x - 2
x = 4
The answer is A.
Answer: A
Question: A bat is bought for Rs.400 and sold at a gain of 20% find its selling price
Options:
A)Rs.430/-
B)Rs.480/-
C)Rs.400/-
D)Rs.580/-
E)Rs.600/-
Rationale: 100 % ------> 400 (100 * 4 = 400)
120 % ------> 480 (120 * 4 = 480)
Selling price = Rs.480/-
B
Answer: B
Question: Two persons start running simultaneously around a circular track of length 600 m from the same point at speeds of 15 km/hr and 25 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions?
Options:
A)16 seconds
B)18 seconds
C)27 seconds
D)54 seconds
E)60 seconds
Rationale: Time taken to meet for the first time anywhere on the track
= length of the track / relative speed
= 600 / (15 + 25)5/18 = 600* 18 / 40 * 5
= 54 seconds.
Answer:D
Answer: D
Question: A group of people participate in some curriculum, 25 of them practice Yoga, 18 study cooking, 10 study weaving, 4 of them study cooking only, 5 of them study both the cooking and yoga, 4 of them participate all curriculums. How many people study both cooking and weaving?
Options:
A)1
B)2
C)3
D)4
E)5
Rationale: Both cooking and weaving = 18 - (4+4+5) = 5
So, the correct answer is E.
Answer: E
Question: Today is Mark's birthday. Four year, from today he will be twice as old as he was 13 years ago. How old is Mark today ?
Options:
A)26 years
B)27 years
C)28 years
D)29 years
E)30 years
Rationale: let Mark's age=xx+4=2(x-13)x=30ANSWER:E
Answer: E
Question: How many seconds will a 200 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Options:
A)11 sec
B)30 sec
C)77 sec
D)14 sec
E)12
Rationale: Speed of train relative to man = 63 - 3 = 60 km/hr.
= 60 * 5/18 = 50/3 m/sec.
Time taken to pass the man = 200 * 3/50
= 12 sec.
Answer: E
Answer: E
Question: If 153^2*22^6*27^3 = x, what is the units digit of x ?
Options:
A)1
B)3
C)7
D)2
E)8
Rationale: 153^2*22^6*27^3 = x
Units digit of x will be
3^2 * 2^6 * 7^3
=9* 4 *3
=108
Therefore , units digit of x = 8
Answer E
Answer: E
Question: A motorist travel to a place 150 km away at an avearge speed of 50 km/hr and returns ar 30 km/hr. His average speed for the whole journey in km/hr is
Options:
A)35
B)37
C)37.5
D)40
E)42
Rationale: Solution
Average Speed	= (2xy/x +y )km/hr
=(2x50 x30/ 50+30)
= 37.5 km/hr.
Answer C
Answer: C
Question: A museum has an average of 520 visitors on Sundays, 270 on other day and Tuesday is holiday. The average number of visitors in a month of 30 days starting with Tuesday is
Options:
A)210.15
B)225.32
C)238.12
D)245.57
E)258.33
Rationale: Number of sundays in that month is 4 and number of tuesdays in that month is 5.
Total number of visitors=(520x4)+((26-5)x270)=7750
Average visitor per day= 7750/30 = 258.33
Answer: E
Answer: E
Question: An escalator moves towards the top level at the rate of 11 ft.sec and its length is 140 feet. If a person walks on the moving escalator at the rate of 3 feet per second towards the top level, how much time does he take to cover the entire length.
Options:
A)14 sec
B)10 sec
C)12 sec
D)8 sec
E)5 sec
Rationale: Explanation :
Time taken to cover the entire length = tot.dist/resultant speed = 140/ (11+3) = 10sec
Answer : B
Answer: B
Question: A sum fetched a total simple interest of Rs. 100 at the rate of 5 p.c.p.a. in 4 years. What is the sum?
Options:
A)800
B)600
C)500
D)1000
E)300
Rationale: Sol.
Principal = Rs. [100 * 100 / 5 * 4] = Rs. [10000 / 20] = Rs. 500.
Answer C
Answer: C
Question: What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 12%?
Options:
A)20%
B)28%
C)27%
D)32%
E)70%
Rationale: SP2 = 2/3 SP1
CP = 100
SP2 = 88
2/3 SP1 = 88
SP1 = 132
100 --- 32 => 32%
Answer:D
Answer: D
Question: In a guess game , five friends had to guess the exact numbers of balls in a box.
Friends guessed as 31 , 35, 39 , 49 , 37, but none of guess was right.The guesses were off by 1, 9, 5, 3, and 9 (in a random order).
Can you determine the number of balls in a box ?
Options:
A)30 balls
B)35 balls
C)40 balls
D)45 balls
E)50 balls
Rationale: C
40 balls
Answer: C
Question: The numbers of pizza slices that are sold in Joey's Pizza are only in quantities of 5 and 6 slices per customer. How many slices cannot be bought?
Options:
A)48.
B)54.
C)62.
D)51.
E)22.
Rationale: Answer:	Let X pizzas of 5 slices and Y pizzas of 6 slices.
5X + 6Y.
Lets check options wise.
A. 48 => 5(6) + 6(3)
B. 54 => 5(6) + 6(4)
C. 62 => 5(10) + 6(2)
D. 51 => we can't write anything with 4 and 6 series..Lets try 5(6) + 6(3) = 48 , 5(8) + 6(2) = 52 , nothing works out
E. 22 => 5(2) + 6(2)
Answer: correct option is D
Answer: D
Question: There are 100 students in 3 sections A, B and C of a class. The average marks of all the three sections was 84. The average of B and C was 87.5 and the average marks of students in A section was
Options:
A)20
B)37
C)28
D)11
E)12
Rationale: Explanation:
Numbers of students in section A = x
âˆ´ Numbers of students in section B and C = (100 â€“ x)
âˆ´ x 70 + (100 â€“ x) 87.5 = 84 100
=> 70x + 87.5 100 â€“ 87.5x = 8400
=> 8750 â€“ 17.5x = 8400
=> 17.5x = 8750 â€“ 8400 => x = 20.
Answer: A
Answer: A
Question: A student was asked to find the arithmetic mean of the numbers 3, 11, 7, 9, 15, 13, 8, 19, 17, 21, 14 and x. He found the mean to be 12. What should be the number in place of x ?
Options:
A)6
B)7
C)8
D)9
E)10
Rationale: Explanation:
Clearly, we have (3 + 11 + 7 + 9 + 15 + 13 + 8 + 19 + 17 + 21 + 14 + x) / 12 = 12.
or 137 + x = 144 or x = 144 - 137 = 7. Answer: B
Answer: B
Question: Two ropes are given to you. Both of the ropes will take exactly an hour each to burn fully.
You are asked to measure forty five minutes using the two ropes. How will you achieve to do it?
Options:
A)30 minutes
B)40 minutes
C)50 minutes
D)60 minutes
E)70 minutes
Rationale: Solution:
Take both the ropes. Now light the first rope from both the ends. Light the second rope from just one end. In thirty minutes, the first rope will burn fully. At this point of time, the second rope will be left exactly half and you have to light it from the second end now. It will take half of the actual time (thirty minutes) to burn now i.e. fifteen minute.
Thirty Minutes + Fifteen minutes = Forty Minutes
Answer B
Answer: B
Question: If x and y are positive integers, and x^3*y^4 = 5488, which of the following is the value of xy?
Options:
A)6
B)10
C)14
D)15
E)21
Rationale: 5488 = 2*2744 = 2^2*1372 = 2^3*686 = 2^4*343 = 2^4*7^3
xy = 2*7 = 14
The answer is C.
Answer: C
Question: The average salary per head of the entire staff of an office including the officers and clerks is Rs.90. The average salary of officers is Rs.600 and that of the clerks is Rs.84. If the number of officers is 2, find the number of officers in the office?
Options:
A)2
B)1
C)6
D)7
E)9
Rationale: 6 * 22 = 132
7 * 19 = 133
--------------
1
Answer: B
Answer: B
Question: A car takes 12 hours to cover a distance of 540 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/4th of the previous time?
Options:
A)25Kmph
B)60Kmph
C)100Kmph
D)120Kmph
E)180Kmph
Rationale: Time = 12
Distence = 540
3/4 of 12 hours = 12 * 3/4 = 9 Hours
Required speed = 540/9 = 60 Kmph
B)
Answer: B
Question: A customer asks the clerk for a paintbrush and a bucket of whitewash for a total price of B dollars. If the paintbrush costs 200 cents less than twice the price of a bucket of whitewash, what is the price of half a bucket of whitewash in dollars?
.
Options:
A)(B + 200)/2.
B)(B + 2)/6.
C)(2B + 200)/3.
D)(B + 2)/3.
E)(B - 2)/6
Rationale: P: cost of 1 paint brush in cents; W: cost of 1 bucket of white wash in cents
P + W = 100*B cents (B dollars)
paintbrush costs 200 cents less than twice the price of a bucket of whitewash
So, P-200 = 2W ---> P=2W+200
P + W = 100*B cents (B dollars) ---> 2W+200+W = 100*B ---> 3W = 100*B - 200 ---> W = (100B - 200)/3
Price of half bucket of White wash = W/2 = (100B - 200)/6 dollars or (B-2)/6 in cents.
Answer is E.
Answer: E
Question: find two integers, neither of which ends in a zero, and whose product is exactly 10,000
Options:
A)64 and 15,625
B)60 and 15,625
C)64 and 15,620
D)16 and 625
E)64 and 16,625
Rationale: 10,000=10^4
=10x10x10x10
=(2x5)x(2x5)x(2x5)x(2x5)
=(2^4)x(5^4)
= 16x625
so the numbers are 16 and 625
ANSWER:D
Answer: D
Question: If Tim had lunch at $50.50 and he gave 15% tip, how much did he spend?
Options:
A)$58
B)$60.60
C)$70.60
D)$40.60
E)$50.60
Rationale: The tip is 20% of what he paid for lunch. Hence
tip = 15% of 50.50 = (15/100)*50.50 = $7.575
Total spent
50.50 + 7.575 = $58
correct answer A
Answer: A
Question: In a class, there are 20 boys whose average age is decreased by 2 months, when one boy aged 19 years replaced by a new boy. The age of the new boy is?
Options:
A)15 years 8 months
B)15 years
C)16 years 4 months
D)17 years 10 months
E)17 years
Rationale: Total decrease = (20 x 2) months
= 3 years 4 months
Age of the new boy
= 19 years - 3 years 4 months.
= 15 years 8 months.
ANSWER:A
Answer: A
Question: A right triangle with sides 3 cm, 4 cm and 5 cm is rotated about the side of 3 cm to form a cone. The volume of the cone so formed is
Options:
A)12Π cm3
B)15Π cm3
C)16Π cm3
D)20Π cm3
E)None
Rationale: Solution
Clearly, we have r = 3cm and h = 4cm.
∴ Volume	= 1/3Πr2h
= (1/3 x Π x 32x4)cm3
= 12Πcm3.
Answer A
Answer: A
Question: A number when divided by the sum of 555 and 445 gives two times their difference the quotient and 30 as the remainder. The number is
Options:
A)1220
B)1250
C)22030
D)220030
E)None
Rationale: Solution
Required number	= (555+445)×2×110+30
220000+30
‹=›220030.
Answer D
Answer: D