divelab/Sys2Bench huggingface dataset:
Question: How many of the following numbers are divisible by 132?
396, 462, 792, 965, 2178, 5184, 6336
Options:
A)3
B)5
C)6
D)7
E)8
Rationale: Explanation:
A number is divisible by 132, if it is divisible by each one of 11, 3 and 4.
Clearly, 965 is not divisible by 3. None of 462 and 2178 is divisible by 4.
Also, 5184 is not divisible by 11.
Each one of remaining 3 is divisible by each one of 11, 3 and 4 and therefore, by 132.
Answer: A
Answer: A
Question: In the coordinate plane, one of the vertices of a square is the point (-5, -4). If the diagonals of that square intersect at point (3, 2), what is the area of that square?
Options:
A)100
B)225
C)169
D)256
E)324
Rationale: One point (-5-4), Intersection (3,2) so the distance from the first point -5-3=-8 is the midpoint of the square --> whole side 16, 16*16=256
D
Answer: D
Question: A train 125 m long passes a man, running at 8 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:
Options:
A)35 km/hr
B)53 km/hr
C)45 km/hr
D)65 km/hr
E)87 km/hr
Rationale: 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 - 8) km/hr. x - 8 = 45 ==> x = 53 km/hr.
Answer: B
Answer: B
Question: Right triangle ABC is to be drawn in the xy-plane so that the right angle is at A and AB is parallel to the y-axis. If the x- and y-coordinates of A, B, and C are to be integers that are consistent with the inequalities -3 ≤ x ≤ 2 and 4 ≤ y ≤ 9 , then how many different triangles can be drawn that will meet these conditions?
Options:
A)54
B)432
C)2,160
D)2,916
E)148,824
Rationale: We have the rectangle with dimensions 9*3 (9 horizontal dots and 3 vertical). AB is parallel to y-axis and AC is parallel to x-axis.
Choose the (x,y) coordinates for vertex A: 9C1*3C1;
Choose the x coordinate for vertex C (as y coordinate is fixed by A): 8C1, (9-1=8 as 1 horizontal dot is already occupied by A);
Choose the y coordinate for vertex B (as x coordinate is fixed by A): 2C1, (3-1=2 as 1 vertical dot is already occupied by A).
9C1*3C1*8C1*2C1=432.
Answer: B.
Answer: B
Question: What is the % change in the area of a rectangle when its length increases by 10% and its width decreases by 10%?
Options:
A)0%
B)20% increase
C)20% decrease
D)1% decrease
E)Insufficient data
Rationale: Explanatory Answer
Whenever you encounter problems like this, use a numerical example and then proceed.
For ease of computation, it is safe in most cases, to assume the length to be 100 units and the width to be 100 units.
(Remember, a square is a rectangle too and the problem works the same way when you assume different values for length and width. Computation becomes a bit tedious with different values for length and width)
Area of a rectangle = length * width = 100 * 100 = 10,000 sq units.
When the length increases by 10%, the new length becomes 110 units.
And as the width decreases by 10%, new width becomes 90 units.
Therefore, New area = 110 * 90 = 9900 sq units.
New area is 100 sq units lesser than the original area.
% change in area = ((change in area)/(original area)) * 100
= (100/10,000)*100 = 1% decrease in area
The correct choice is (D)
Answer: D
Question: How many digits will be there to the right of the decimal point in the product of 95.75 and .02554?
Options:
A)5
B)6
C)7
D)8
E)9
Rationale: Solution
Som of decimal places	= 7.
Since the last digit to the extreme right will be zero ( ∴ 5 x 4 = 20), so there will be 6 significant digits to the right of the decimal point.
Answer B
Answer: B
Question: The product of the prime integers between 53 and 60, inclusive, is:
Options:
A)50! – 40!
B)178,239
C)2,303
D)2,021
E)2,000
Rationale: only prime number bet ween 53 and 60 inclusive are 53, 57, 59
thus 53*57 * 59= 178,239
Ans: B
Answer: B
Question: If (4 - x)/(4 + x) = x, what is the value of x^2 + 5x - 4?
Options:
A)0
B)2
C)4
D)6
E)8
Rationale: (4-x) = x*(4+x)
(4-x) = 4x+x^2
0 = x^2+5x-4
The answer is A.
Answer: A
Question: Rohan 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 a month are Rs. 3000. then his monthly salary is
Options:
A)Rs. 15000
B)Rs. 12000
C)Rs. 9000
D)Rs. 6000
E)Rs. 3000
Rationale: Sol.
Saving = [100 - (40 + 20 + 10 + 10]% = 20%.
Let the monthly salary be Rs. x.
Then, 20% of x = 3000
â‡” 20 / 100x = 3000
â‡” x = 3000 Ã— 5 = 15000.
Answer A
Answer: A
Question: In a two digit number, if it is known that its units digit exceeds its ten's digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is
Options:
A)42
B)46
C)22
D)24
E)None
Rationale: Sol.
Let the ten's digit be x.
Then, units digit = x + 2.
Number = 10x + (x+2) = 11x + 2;
Sum of digits = x + (x+2) = 2x +2.
∴ (11x +2)(2x+2) = 144
⇔ 22x2 + 26x - 140 = 0
⇔ 11x2 + 13x - 70 = 0
⇔ (x - 2)(11x+35) = 0 ⇔ x =2.
Hence, required number = 11x + 2 = 24.
Answer D
Answer: D
Question: Suresh can complete a job in 15 hours. Ashutosh alone can complete the same job in 35 hours. Suresh works for 9 hours and then the remaining job is completed by Ashutosh. How many hours will it take Ashutosh to complete the remaining job alone?
Options:
A)4
B)5
C)14
D)12
E)None of these
Rationale: The part of job that Suresh completes in 9 hours
= 9â„15 = 3â„5
Remaining job = 1 - 3â„5 = 2â„5
Remaining job can be done by Ashutosh in 2â„5 Ã— 35 = 14 hours
Answer C
Answer: C
Question: In how many ways can 7 boys be seated in a circular order?
Options:
A)110
B)230
C)720
D)420
E)680
Rationale: Number of arrangements possible
=(7−1)!=6!=6x5x4x3x2x1=720
Answer: C
Answer: C
Question: If y is 70 percent greater than x, then x is what percent less than y?
Options:
A)41%
B)47%
C)55%
D)63%
E)70%
Rationale: y = 1.7x
x = y/1.7 = 10y/17 = y - (7/17)*y
7/17 is about 41%.
The answer is A.
Answer: A
Question: Find k if 56 / k = 4.
Options:
A)16
B)17
C)18
D)14
E)13
Rationale: Since 56 /k = 4 and 56/ 14 = 4, then
k = 14 correct answer D
Answer: D
Question: The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles?
Options:
A)4329
B)2799
C)4312
D)2799
E)2712
Rationale: Let the radii of the smaller and the larger circles be s m and l m respectively.
2∏s = 264 and 2∏l = 352
s = 264/2∏ and l = 352/2∏
Difference between the areas = ∏l2 - ∏s2
= ∏{1762/∏2 - 1322/∏2}
= 1762/∏ - 1322/∏
= (176 - 132)(176 + 132)/∏
= (44)(308)/(22/7) = (2)(308)(7) = 4312 sq m
Answer: C
Answer: C
Question: A certain sum of money at simple interest amounted Rs.840 in 10 years at 3% per annum, find the sum?
Options:
A)277
B)262
C)298
D)646
E)267
Rationale: 840 = P [1 + (10*3)/100]
P = 646
Answer: D
Answer: D
Question: Find the least number must be subtracted from 62575 so that remaining number is divisible by 99.
Options:
A)93
B)7
C)54
D)9
E)6
Rationale: On dividing 62571 by 99 we get the remainder 7, so 7 should be subtracted. Answer is
B
Answer: B
Question: A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 18 km/hr. What is the length of the platform?
Options:
A)80
B)240
C)288
D)277
E)221
Rationale: Speed = 18 * 5/18 = 5 m/sec.
Length of the train =5 * 20 = 100 m.
Let the length of the platform be x m . Then,
(x + 100)/36 = 5 => x = 80 m.
Answer: A
Answer: A
Question: How many ways are there to split a group of 6 girls into two groups of 3 girls each? (The order of the groups does not matter)
Options:
A)35
B)10
C)40
D)20
E)25
Rationale: the combination is 6C3 /2
= 6!/3!*3!*2 = 20/2 =10
B
Answer: B
Question: A certain sum amounts to Rs.1725 in 3 years and Rs.1875 in 5 years. Find the rate % per annum?
Options:
A)9%
B)5%
C)3%
D)1%
E)8%
Rationale: 3 --- 1725
5 --- 1875
--------------
2 --- 150
N = 1 I = 75 R = ?
P = 1725 - 225 = 1500
75 = (1500*1*R)/100
R = 5%
Answer: B
Answer: B
Question: In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together?
Options:
A)120028 ways
B)120860 ways
C)120960 ways
D)120920 ways
E)120930 ways
Rationale: In the word 'MATHEMATICS', we treat the vowels AEAI as one letter.
Thus, we have MTHMTCS (AEAI).
Now, we have to arrange 8 letters, out of which M occurs twice, T occurs twice and the rest are different.
Number of ways of arranging these letters =	8!/(2!)(2!)	= 10080.
Now, AEAI has 4 letters in which A occurs 2 times and the rest are different.
Number of ways of arranging these letters =	4!/2!	= 12.
Required number of words = (10080 x 12) = 120960.
Answer:C
Answer: C
Question: The probability that A speaks truth is 3/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact?
Options:
A)18/35
B)18/37
C)18/39
D)18/33
E)18/31
Rationale: If both agree stating the same fact, either both of them speak truth of both speak false.
Probability = 3/5 * 4/7 + 2/5 * 3/7
= 12/35 + 6/35
= 18/35
Answer:A
Answer: A
Question: The L.C.M of two numbers is 2310 and their H.C.F is 30. If one number is 330 the Other is
Options:
A)330
B)300
C)210
D)250
E)350
Rationale: The other number
= L.C.M * H.C.F/given number
= 2310*30/330 = 210
Answer is C.
Answer: C
Question: A certain car uses one gallon of gasoline every 36 miles when it travels on highway, and one gallon of gasoline every 20 miles when it travels in the city. When a car travels 4 miles on highway and 4 additional miles in the city, it uses what percent more gasoline than if it travels 8 miles on the highway?
Options:
A)15%
B)20%
C)22.5%
D)25%
E)40%
Rationale: 4 miles on the highway = 4/36 gallons;
4 miles in the city = 4/20 gallons;
Total = 4/36 + 4/20 = 14/45 gallons.
8 miles on the highway = 8/30 gallons .
The % change = (14/45 - 8/36)/(8/36) = 0.40.
Answer: E.
Answer: E
Question: If the selling price of 50 articles is equal to the cost price of 40 articles, then the loss or gain percent is:
Options:
A)20% loss
B)20% gain
C)25% loss
D)25% gain
E)35% gain
Rationale: Let C.P. of each article be Re. 1.
Then, C.P. of 50 articles = Rs. 50;
S.P. of 50 articles = Rs. 40.
Loss % = 10/50 * 100 = 20%
ANSWER:A
Answer: A
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 35 terms of set X?
Options:
A)1
B)3
C)5
D)7
E)9
Rationale: 35*4 + 34*40 + 33*400 = 140 + 1360 + 13200 = 14700
The hundreds digit is 7.
The answer is D.
Answer: D
Question: If log10 5 + log10 (5x + 1) = log10 (x + 5) + 1, then x is equal to:
Options:
A)15
B)8
C)9
D)3
E)10
Rationale: Explanation:
log10 5 + log10 (5x + 1) = log10 (x + 5) + 1
log10 5 + log10 (5x + 1) = log10 (x + 5) + log10 10
log10 [5 (5x + 1)] = log10 [10(x + 5)]
5(5x + 1) = 10(x + 5)
5x + 1 = 2x + 10
3x = 9
x = 3.
answer D
Answer: D
Question: One water pump can fill half of a certain empty tank in 6 hours. Another pump can fill half of the same tank in 6.5 hours. Working together, how long will it take these two pumps to fill the entire tank?
Options:
A)6 7/13
B)1 5/8
C)3 1/4
D)6 6/25
E)3 1/2
Rationale: One pump can fill a tank in 6 hours and another in 6.5 hours
so the rate at which both can half fill the tank is (1/6+1/6.5) => 25/78
Thus half of the tank can be filled in 78/25
so for filling the complete tank => 78/25*2 = 156/25 = 6 6/25
ANSWER:D
Answer: D
Question: Annika hikes at a constant rate of 10 minutes per kilometer. She has hiked 2.5 kilometers east from the start of a hiking trail when she realizes that she has to be back at the start of the trail in 35 minutes. If Annika continues east, then turns around and retraces her path to reach the start of the trail in exactly 35 minutes, for how many kilometers total did she hike east?
Options:
A)3.625
B)3.5
C)3
D)4
E)4.5
Rationale: Set up two R x T =D cases.
1. 1/10 km/ min x T = 2.5
from which T= 25 mins.
We know total journey time now is 35 +25 = 60
The rate is the same ie 1/10km/min.
set up second R x T =D case.
1/10 km/min x 60 = 6 km
Now the total journey would be halved as distance would be same in each direction. 6/2 =3
C
Answer: C
Question: A and B invested in a business in the ratio 7 : 11, in the annual profit they donated 10% of the profit to a charity, and after donating, A received Rs.12600 as his share in the profit, then what amount is donated to the charity ?
Options:
A)Rs.2500
B)Rs.1800
C)Rs.3600
D)Rs.1260
E)Rs.1860
Rationale: Ratio of investments of A and B = 7 : 11 = [18 units].
A received = Rs.12600.
Total profit = 12600 / 7 × 18 = Rs.324000.
Profit after donation = Rs.32400 which is [Profit – 10% = 90% of the actual profit].
Profit before donation = 32400 / 90 × 100 = Rs.36000.
Actual profit = Rs.360000 => Donation = Rs.36000 × 10 / 100 = Rs.3600
Option C
Answer: C
Question: In a group of 150 readers who read science fiction or literacy works or both, 120 read science fiction and 90 read literacy works. How many read both science fiction and literacy works?
Options:
A)70
B)60
C)90
D)100
E)110
Rationale: Consider total number of reader n(S U L) = 150
People who read science fiction n(S) = 120
People who read literacy works n(L) = 90
both science fiction and literacy n(S âˆ© L) = ?
n(S U L) = n(S)+ n(L) - n(S âˆ© L)
150 = 120 + 90- n(S âˆ© L)
n(S âˆ© L) = 210 -150
n(S âˆ© L) = 60
SO People read both science fiction and literacy works are 160
ANSWER:B
Answer: B
Question: 5 men are equal to as many women as are equal to 8 boys. All of them earn Rs.150 only. Menâ€™s wages are?
Options:
A)6Rs
B)2Rs
C)4Rs
D)9Rs
E)10Rs
Rationale: 5M = xW = 8B
5M + xW + 8B ----- 150 Rs.
5M + 5M + 5M ----- 150 Rs.
15M ------ 150 Rs. => 1M = 10Rs.
Answer: E
Answer: E
Question: A wholesaler marks his wares 60% more than the real price and allows 25% discount. His profit is:
Options:
A)15%
B)20%
C)25%
D)30%
E)None of these
Rationale: Let the CP = 100 Rs.
Mark Price = 160
Discount = 25%
Selling price 75/100 Ã— 160
Hence profit = 20%
Answer: B.
Answer: B
Question: The principal that amounts to Rs. 5913 in 3 years at 6 1/4 % per annum C.I. compounded annually, is?
Options:
A)s. 3096
B)s. 4076
C)s. 4085
D)s. 4096
E)s. 5096
Rationale: Principal = [4913 / (1 + 25/(4 * 100))3]
= 5913 * 16/17 * 16/17 * 16/17 = Rs. 5096.
ANSWER:E
Answer: E
Question: Find the value of (75983*75983- 45983*45983/30000)
Options:
A)129166
B)121696
C)126196
D)121966
E)None of them
Rationale: Given expression=(75983)2-(45983)2/(75983-45983)
=(a-b)2/(a-b)
=(a+b)(a-b)/(a-b)
=(a+b)
=75983+45983
=121966
Answer is D.
Answer: D
Question: what is the radius of a circle that has a circumference of 3.14 meters?
Options:
A)0.5 mtr
B)1.5 mtr
C)2.3 mtr
D)0.2 mtr
E)1.2 mtr
Rationale: circumference of a cirlce = 2nr, given circumference= 3.14 mtr.
2nr= 3.14, 2 x 3.14 x r= 3.14, = 6.28 x r=3.14, r= 3.14/6.28, = 0.5mtr. correct answer: (A)
Answer: A
Question: A watch was sold at a loss of 5%. If it was sold for Rs.500 more, there would have been a gain of 5%. What is the cost price?
Options:
A)1000
B)2998
C)2778
D)2788
E)2991
Rationale: 95%
105%
--------
10% ---- 500
100% ---- ? => Rs.5000
Answer:D
Answer: D
Question: Marketing executives for a certain chewing gum company projected a 20 percent increase in revenue this year over that of last year, but revenue this year actually decreased by 35%. What percent of the projected revenue was the actual revenue ?
Options:
A)54.2%
B)58%
C)62.5%
D)64%
E)75%
Rationale: Last year revenue = 100 (assume);
This year revenue = 65;
Projected revenue = 120.
Actual/Projected*100=65/120*100 = 54.2%.
Answer: A.
Answer: A
Question: A windmill is taking advantage of strong air currents in order to produce electrical energy. On a typical day the wind speed is around 20 mph and in that speed the windmill produces 400 kw/h (kilowatts per hour). On a stormy day a windmill produces 20% more energy. How much kw/h can three windmills produce in two hours on a stormy day?
Options:
A)2880.
B)4860.
C)5780.
D)5760.
E)6380.
Rationale: Efficiency per machine = 400 watt/hr
Efficiency due to increase in wind speed = 400*120% => 480 watt/hr
Production by each machine in 2 hours is 480*2 => 960 watt
Production by 3 machines => 960 watt * 3 = 2880 watt
Answer will be (A)
Answer: A
Question: There are k-2 members in a certain band, including Jim and Ellen. Two members are to be selected to attend the Grammy awards ceremony. If there are 3 possible combinations in which Jim and Ellen are not selected, what is the value of k?
Options:
A)6
B)7
C)8
D)9
E)10
Rationale: There are k-2 members in the band, and k-4 members without Jim and Ellen.
(k-4)C2 = 3
(k-4)(k-5)/2 = 3
(k-4)(k-5) = 6 = 3*2
k = 7
The answer is B.
Answer: B
Question: Two cars cover the same distance at the speed of 60 and 64 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car.
Options:
A)398
B)88
C)960
D)781
E)2891
Rationale: 60(x + 1) = 64x
X = 15
60 * 16 = 960 km.Answer:C
Answer: C
Question: A sum of money at simple interest amounts to Rs. 805 in 3 years and to Rs. 854 in 4 years. The sum is:
Options:
A)s. 650
B)s. 690
C)s. 688
D)s. 700
E)s. 718
Rationale: S.I. for 1 year = Rs. (854 - 815) = Rs. 39.
S.I. for 3 years = Rs.(39 x 3) = Rs. 117.
Principal = Rs. (805 - 117) = Rs. 688.
Answer: Option C
Answer: C
Question: Aaron will jog from home at 2 miles per hour and then walk back home by the same route at 4miles per hour. How many miles from home can Aaron jog so that he spends a total of 3 hours jogging and walking?
Options:
A)5
B)7
C)3
D)9
E)10
Rationale: xyt/(x+y)
x= 2, y=4 t= 3
2*4*3/2+4 = 18/6 = 3
Answer : C
Answer: C
Question: There are 7 points marked on the circumference of a circle. How many hexagons can be formed by connecting 6 points of the 7 points?
Options:
A)5
B)6
C)7
D)8
E)9
Rationale: 7C6=7
The answer is C.
Answer: C
Question: The numerator of a certain fraction is 8 less than the denominator. If 3 is added to the numerator and 3 is subtracted from the denominator, the fraction becomes 3/4. Find the original fraction?
Options:
A)2/5
B)7/9
C)3/11
D)8/5
E)9/5
Rationale: The denominator be P, the numerator will be (P - 8).
The fraction will be (P - 8)/P.
Adding 3 to the numerator and subtracting 3 from the denominator, (P - 8 + 3)/(P - 3) = 3/4.
(P - 5)/(P - 3) = 3/4
P = 20 - 9 => P = 11.
The fraction is: 3/11.
ANSWER:C
Answer: C
Question: A number whose fifth part increased by 5 is equal to its fourth part diminished by 5 is ?
Options:
A)160
B)180
C)200
D)220
E)None
Rationale: Answer
Let the number be N.
Then, (N/5) + 5 = (N/4) - 5
⇒ (N/4) - (N/5) = 10
⇒ (5N - 4N)/20 = 10
∴ N = 200
Option: C
Answer: C
Question: If x is a positive number and 5 the square root of x is equal to x/25, then x =
Options:
A)10
B)25
C)5
D)2
E)1
Rationale: 5 of sqrt(x) = x/25, which means that sqrt(x) = x/5
or x = x^2/25 -> divide by x
1=x/25
x=25
B.
Answer: B
Question: If x is a number such that x^2 + 2x - 24 = 0 and x^2 - 5x + 4 = 0, then x =
Options:
A)4
B)-4
C)-3
D)-6
E)1
Rationale: x^2 + 2x - 24 = (x+6)(x-4) = 0
Then x=-6 or x=4.
x^2 - 5x + 4 = (x-4)(x-1) = 0
Then x=4 or x=1.
Thus x=4.
The answer is A.
Answer: A
Question: In a camp, there is a meal for 80 men or 200 children. If 150 children have taken the meal, how many
men will be catered to with the remaining meal ?
Options:
A)38 men
B)32 men
C)34 men
D)20 men
E)None of these
Rationale: Explanation:
There is meal for 200 children. 150 children have taken the meal.
Remaining meal is to be catered to 50 children.
Now, 200 children =80 men
So, 50 Children = 80/200 * 50 = 20 men
Answer: D
Answer: D
Question: Raju purchased an item for Rs.4,500 and sold it at the gain of 15%. From that amount he purchased another item and sold it at the loss of 10%. What is his overall gain/loss?
Options:
A)Gain of Rs.151.50
B)Gain of Rs.157.50
C)Loss of Rs.165
D)neither gain nor loss
E)None of these
Rationale: Explanation:
1st SP = Rs.4500 + 15% of 4500 = Rs.4500+Rs.675 = Rs.5175
2nd CP = Rs.5175.
SP = Rs.5175 – 10% of 5175 = Rs.4657.50
Overall gain = Rs.4657.50 – 4500 = Rs.157.50
Answer: Option B
Answer: B
Question: Find the compound ratio of (3:2), (4:3) and (1:4) is
Options:
A)1:2
B)2:3
C)3:4
D)4:5
E)3:2
Rationale: Required ratio = 3/2 * 4/3 * 1/4 = 1/2 = 1:2
Answer is A
Answer: A
Question: A(5, w^3) is the (x, y) coordinate of point located on the parabola Y = X^2 + 2. What is the value of w?
Options:
A)3.
B)4.
C)5.
D)6.
E)9
Rationale: Y = X^2 + 2
X= 5
Y = 5^2+2= 27
Y is in the form w^3
w^3=27
w=3
ANSWER:A
Answer: A
Question: A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
Options:
A)22
B)350
C)268
D)277
E)198
Rationale: Speed = 300/18 = 50/3 m/sec.
Let the length of the platform be x meters.
Then, (x + 300)/39 = 50/3
3x + 900 = 1950 => x = 350 m.
Answer:B
Answer: B
Question: Cindy has her eye on a sundress but thinks it is too expensive. It goes on sale for 15% less than the original price. Before Cindy can buy the dress, however, the store raises the new price by 25%. If the dress cost $85 after it went on sale for 15% off, what is the difference between the original price and the final price?
Options:
A)$0.00
B)$1.00
C)$3.40
D)$5.00
E)$6.25
Rationale: 0.85*{Original Price} = $85 --> {Original Price} = $100.
{Final Price} = $85*1.25 = $106.25.
The difference = $106.25 - $100 = $6.25.
Answer: E.
Answer: E
Question: A table is bought for Rs.600/- and sold at a loss of 15% find its selling price
Options:
A)s.500/-
B)s.530/-
C)s.540/-
D)s.510/-
E)s.700/-
Rationale: 100 % ------> 600 (100 * 6 = 600)
85 % ------> 510 (85 * 6 = 510)
Selling price = Rs.510/-
D
Answer: D
Question: A card is drawn from pack of 52 cards, two cards are drawn together at random. What is the probability of getting a queen of club or king of heart?
Options:
A)2/15
B)7/12
C)6/13
D)1/6
E)1/26
Rationale: n(S) = 52
n(E) = 2
P(E) = 2/52 = 1/26
Answer is E
Answer: E
Question: A two digit number when 18 added becomes another two digit number with reversed digits. How many such two digit numbers are possible?
Options:
A)8
B)7
C)1
D)9
E)0
Rationale: Let the two digit number be 'ab' and the number formed after adding 18 to it is 'ba'
So ab + 18 = ba
⇒⇒ (10a + b) + 18 = 10b + a
⇒⇒ 18 = 9b – 9a
⇒⇒ 2 = b – a
So we know that ab, ba both are two digit numbers so a, b ≠≠ 0.
Also when b = 9, a = 7; b = 8, a = 6; b = 7, a = 5; b = 6, a = 4; b = 5, a = 3; b = 4, a = 2; b = 3, a = 1
Answer:C
Answer: C
Question: Nr Books bought Nr of People
5 3
6 3
7 7
8 2
9 8
What is the median of books bought per person?
Options:
A)a) 2
B)b) 4
C)c) 7
D)d) 8
E)e) 18
Rationale: 5, 5, 5, 6, 6, 6, 7, 7, 7, 7,7 ,7, 7, 8, 8, 9, 9, 9,... (8 times)
so you will observer that the median of the list is 7.
Ans C
Answer: C
Question: What will be the fraction of 20%
Options:
A)1/4
B)1/5
C)1/10
D)1/8
E)None of above
Rationale: Explanation:
It will 20*1/100 = 1/5
Answer: Option B
Answer: B
Question: The difference between a number and its two-fifth is 45. What is the number?
Options:
A)64
B)75
C)80
D)89
E)78
Rationale: Explanation:
Let the number be x.
x – (2 / 5) x = 45
(3/5) x = 45
x = 75
ANSWER:B
Answer: B
Question: When x is multiplied by 3, the result is 4 more than the result of subtracting x from 16. What is the value of x?
Options:
A)-4
B)-2
C)5
D)13
E)22
Rationale: The equation that can be formed is:
3x-4=16-x
or, 4x=20
or, x=5.
Answer : C
Answer: C
Question: On Monday morning, Chris receives tickets to a baseball game that will be played at 7pm on the next evening that it does not rain. However, Chris is only in town until Wednesday morning, at which point he must fly to another city. If there is a 10% chance of rain each of the next two evenings, what is the probability that Chris will be able to attend the game?
Options:
A) 36%
B) 60%
C) 66%
D) 80%
E) 99%
Rationale: Chris won't be able to attend the game if it be raining on Monday eveningandTuesday evening. The probability of that is 0.1*0.1 = 0.01. So, the probability that he will be able to attend is 1 - 0.01 = 0.99.
Answer: E.
Answer: E
Question: 2664÷12÷6=?
Options:
A)43
B)37
C)41
D)33
E)32
Rationale: 2664 ÷ 12 = 222
222 ÷ 6 = 37
Answer is B
Answer: B