divelab/Sys2Bench huggingface dataset:
Question: The owner of a furniture shop charges his customer 24% more than the cost price. If a customer paid Rs. 8339 for a computer table, then what was the cost price of the computer table?
Options:
A)Rs.6725
B)Rs.6727
C)Rs.6908
D)Rs.6725
E)Rs.6728
Rationale: CP = SP * (100/(100 + profit%))
= 8339(100/124) = Rs.6725.
Answer: D
Answer: D
Question: A customer pays 80 dollars for a coffee maker after a discount of 20 dollars
What is the original price of the coffe maker?
Options:
A)100
B)40
C)70
D)90
E)20
Rationale: Let x be the original price.
x - 20 = 80
x - 20 + 20 = 80 + 20
x + 0 = 100
x = 100
Answer is A
Answer: A
Question: An author received $0.80 in royalties for each of the first 100,000 copies of her book sold, and $0.90 in royalties for each additional copy sold. If she received a total of $260,000 in royalties, how many copies of her book were sold?
Options:
A)130,000
B)300,000
C)380,000
D)400,000
E)420,000
Rationale: Total royalties for first 100.000 books = .8*100,000= 80,000
Total royalties for the rest of the books = 260,000-80,000 = 180,000
Remaining books = 180,000/0.9 = 200,000
Total books = 200,000+100,000 = 300,000 Answer B
Answer: B
Question: Look at this series: 2, 4, 6, 8, 10, ... What number should come next?
Options:
A)10
B)11
C)16
D)13
E)12
Rationale: E
12
This is a simple addition series. Each number increases by 2.
Answer: E
Question: Nitin ranks 27th in a class of 89 students. What is rank from the last ?
Options:
A)63
B)65
C)67
D)87
E)89
Rationale: Explanation:
Number students behind the nitin in rank = (89 - 27) = 62
Nitin is 63th from the last
Answer: A) 63
Answer: A
Question: If a woman buys 700 pencils for $70 and sold them for $3 dollars for a 10 pack, determine her profit per pack.
Options:
A)2
B)3
C)20
D)30
E)70
Rationale: Cost of 700 pencils = $70
700 pencils/$70 = 10 pencils for $1
Sold 10 pencils for $3
Profit per 10 pencils = $(3-1) = $2 per pack
Therefore, her profit is $2 per 10 pack
answer :A
Answer: A
Question: The average of the daily income of A, B and C is Rs . 60 . If B earns Rs . 20 more than C and A earns double of what C earns. What is the daily income of C ?
Options:
A)Rs. 70
B)Rs. 60
C)Rs. 40
D)None of these
E)Cannot be determined
Rationale: Answer
Let C's earning = Rs. y.
Then, B's earning = Rs. (y + 20)
and A's earning = Rs. 2y
∵ 2y + y + 20 + y= 3 x 60
⇒ 4x = 160
∴ x = 40
Correct Option: C
Answer: C
Question: Insert the missing number
2, 9, 28, 65, ...
Options:
A)126
B)195
C)121
D)103
E)112
Rationale: the series are 2,9,28,65,126
logic is 1cube+1,2cube+1, 3cube+1,4cube+1, 5cube+1
so the answer is 126
ANSWER:A
Answer: A
Question: 20 throws of a die produces following results
SCORE -- NUMBER OF OCCURRENCES
---1-------------------4
---2-------------------3
---3-------------------5
---4-------------------2
---5-------------------2
---6-------------------4
What is the probability C that one more throw to this series will increase the mean score?
Options:
A)1/6
B)1/3
C)1/2
D)2/3
E)5/6
Rationale: I get the mean as 67/20 --> 3.35. Thus in order to raise this mean we would need a 4,5,or 6.
Thus probability C is 1/2.C
Answer: C
Question: Find the total number of prime factors in the expression (4)^13 x (7)^5 x (11)^2
Options:
A)26
B)22
C)25
D)27
E)33
Rationale: (4)^13x (7)^5 x (11)^2
= (2 x 2)^13 x (7)^5 x (11)^2
= 2^13 x 2^13 x7^5x 11^2
= 2^26 x 7^5 x11^2
Total number of prime factors = (26 + 5 + 2) = 33.
Answer is E.
Answer: E
Question: P is three times as fast as Q and working together, they can complete a work in 6 days. In how many days can Q alone complete the work?
Options:
A)16
B)77
C)88
D)55
E)8
Rationale: P = 3Q
P + Q = 3Q + Q = 4Q
These 4Q people can do the work in 6 days, which means Q can do the work in 24 days.
Hence, P can do the work in 8 days.
Answer:E
Answer: E
Question: If in a cricket one day match, there were no wide balls, no wides, no extras and no overthrows.
What is the maximum number of runs that a batsman can score in 25 overs in an ideal case scenario?
Options:
A)900
B)850
C)828
D)825
E)None
Rationale: Solution:
828
Explanation:
For an ideal case, the batsman will hit a six on each ball. But if he hits six on the last ball of the over, the strike will change in the next over. Thus, the best he can do in the last ball is run 3 runs so that he retains the strike even in the next over. Thus the total runs that he can score in each over:
6 * 5 + 3 = 33
But this will have to go like it only till the 24th over. In the 25th over, he can hit a six in the last ball as well as that will be the last ball of his destination.
Thus runs for the 25th over will be 6 * 6 = 36.
Hence the maximum runs = 33 * 24 + 36 = 828
Answer C
Answer: C
Question: Albert buys 4 horses and 9 cows for Rs. 13,400. If he sells the horses at 10% profit and the cows at 20% profit, then he earns a total profit of Rs. 1880. The cost of a horse is:
Options:
A)1000
B)2000
C)2300
D)3400
E)2830
Rationale: Let C.P. of each horse be Rs. x and C.P. of each cow be Rs. y.
Then, 4x + 9y = 13400 -- (i)
And, 10% of 4x + 20% of 9y = 1880
2/5 x + 9/5 y = 1880 => 2x + 9y = 9400 -- (ii)
Solving (i) and (ii), we get : x = 2000 and y = 600.
Cost price of each horse = Rs. 2000.
Answer: Option B
Answer: B
Question: 0.02 x 0.000197 is equal to:
Options:
A)6.48 x 10(power -6)
B)6.84 x 10(power -6)
C)3.94 x 10(power -6)
D)5.48 x 10(power -6)
E)None of them
Rationale: 2 x 197 = 394. Sum of decimal places = 8
So, 0.02 x 0.000197 = 0.00000394 = 3.94 x 10(power -6)
Answer is C
Answer: C
Question: There are seven leopards and one sheep.
Leopard can eat sheep but since as the land is magical, the leopards who eats the sheep , turns into sheep and then can be eaten by the remaining leopard(s).
If we leave them for some time then how many sheep and leopard will be there , when we come back ?
Options:
A)7 leopard and 3 sheep
B)4 leopard and 7 sheep
C)6 leopard and 1 sheep
D)5 leopard and 1 sheep
E)2 leopard and 5 sheep
Rationale: C
6 leopard and 1 sheep
since all animal are rational , once 1st leopard eats the sheep all the rest of leopard would know about this.
Answer: C
Question: A fruit seller sells mangoes at the rate of Rs.12 per kg and thereby loses 10%. At what price per kg, he should have sold them to make a profit of 15%?
Options:
A)Rs.11.81
B)Rs.12
C)Rs.15.33
D)Rs.12.31
E)None
Rationale: Solution
90 : 12 = 115 : x
x= (12Ã—115/90)
= Rs.15.33
Hence, S.p per Kg	= Rs.15.33
Answer C
Answer: C
Question: What least number should be added to 1056, so that the sum is completely divisible by 23?
Options:
A)4
B)3
C)2
D)1
E)0
Rationale: Explanation :
1056 ÷ 23 = 45 with remainder = 21
Remainder = 21. 21 + 2 = 23. Hence 2 should be added to 1056 so that the sum will be
divisible by 23. Answer : Option C
Answer: C
Question: Find the circumference and area of radius 8 cm.
Options:
A)124 cm²
B)201 cm²
C)210 cm²
D)184 cm²
E)194 cm²
Rationale: Area of circle = πr²
= 22/7 × 8 × 8 cm²
= 201 cm²
ANSWER:B
Answer: B
Question: the first half of the 20th century, the population of a particular country increased by 200 percent. In the second half of the century, the population increased by 300 percent. What was the percent increase for the 20th century as a whole?
Options:
A) 500%
B) 600%
C) 800%
D) 1100%
E) 1200%
Rationale: Say initially population was 100.
What is 200% of 100? It is 200/100 * 100 = 200.
An increase of 200% means the new population became 100 + 200 = 300
What is 300% of 300? It is 300/100 * 300 = 900
An increase of 300% means the new population now is 300 + 900 = 1200
So from 100, the population increased to 1200 i.e. an increase of 1100.
1100 is what percent of 100?
1100 = x/100 * 100
i.e. it is 1100% D
Answer: D
Question: Last Sunday a certain store sold copies of Newspaper A for $1.00 each and copies of Newspaper B for $1.25 each, and the store sold no other newspapers that day. If r percent of the store's revenues from newspapers sales was from Newspaper A and if q percent of the newspapers that the store sold were copies of Newspaper A, which of the following expresses r in terms of q?
Options:
A)100p / (125 - p)
B)150p / (250 - p)
C)300p / (375 - p)
D)400q / (500 - q)
E)500q / (625 - q)
Rationale: I have just started with qunats section .. I solved this by making two equations and got the answer ... However it was long way of doing it ...
I got the answer as : 100q /(125 - .25 q)...
Multiply this equation by 4 and you get D as the answer ,...
Answer: D
Question: If X+Y = 2X-2Z, X-2Y = 4Z and X+Y+Z = 21, what is the value of Z/Y?
Options:
A)-4.5.
B)-2.
C)-0.5.
D)3.
E)2.5.
Rationale: X+Y = 2X-2Z
X-Y = 2Z---------- 1
X-2Y = 4Z--------- 2
Subtracting equation 1 from equation 2
2Z = -Y
Z/Y= -0.5
C is the answer
Answer: C
Question: If Sharon's weekly salary increased by 16 percent, she would earn $406 per week. If instead, her weekly salary were to increase by 10 percent, how much would she earn per week?
Options:
A)$374
B)$382
C)$385
D)$392
E)$399
Rationale: Soln:-
(406/116)110 =385
In this case long division does not take much time.
(406/116)=3.5
35*11=385(350+35)
ANSWER:C
Answer: C
Question: A Women can cover a distance in 1 hr 24 min by covering 2/3 of the distance at 4 km/h and the rest at 5 km/h. The total distance is
Options:
A)4 km
B)8 km
C)2 km
D)6 km
E)9 km
Rationale: D
6 km
Distance = 2/3S
distance=1-2/3S=1/3S
21/15 hr=2/3 S/4 + 1/3s /5
84=14/3S * 3
S= 6km
Answer: D
Question: A man whose speed is 4.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey?
Options:
A)8
B)4
C)9
D)6
E)1
Rationale: M = 45
S = 1.5
DS = 6
US = 3
AS = (2 * 6 * 3) /9 = 4
Answer: B
Answer: B
Question: Q is as much younger than R as he is older than T. If the sum of the ages of R and T is 50 years. What is definitely the difference between R and Q's age?
Options:
A)50
B)99
C)88
D)77
E)23
Rationale: R - Q = R - T
Q = T.
Also R + T = 50; R + Q = 50
So, (R - Q) cannot be determined.
Answer:D
Answer: D
Question: If there is exactly one root of the equation x^2 + ax - b, where a and b are positive constants, what is b in terms of a?
Options:
A)a/2
B)a
C)-a^2/4
D)a^2/2
E)a^2/4
Rationale: one root for a quadratic equation ax^2+bx+c is possible only when b^2 = 4ac ---1
Here b = a
c= b
a = 1
substituting these values in 1, we have
a^2 = -4b => b =-a^2/4
Answer is C.
Answer: C
Question: The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.5 years. The ration of the number of boys to the number of girls in the class is?
Options:
A)2:6
B)2:3
C)2:5
D)2:1
E)1:2
Rationale: Let the ratio be k : 1. Then,
k * 16.4 + 1 * 15.5 = (k + 1) * 15.8
= (16.4 - 15.8)k = (15.8 - 15.5)
= k = 0.3/0.6 =1/2
Required ratio = 1/2 : 1 = 1:2.
Answer:E
Answer: E
Question: In a fuel station the service costs $1.75 per car, every liter of fuel costs 0.65$. Assuming that a company owns 12 cars and that every fuel tank contains 56 liters and they are all empty, how much money total will it cost to fuel all cars?
Options:
A)320.8$
B)387.8$
C)420.8$
D)457.8$
E)480.8$
Rationale: Total Cost = ( 1.75*12 ) + ( 0.65 * 12 * 56 ) =457.8
Hence answer will be (D)
Answer: D
Question: If the operation Ø is defined for all positive integers x and w by x Ø w = (2^x)/(2^w) then (4 Ø 2) Ø 1 = ?
Options:
A)2
B)4
C)8
D)16
E)32
Rationale: 4 Ø 2 = 2^4/2^2 = 4
4 Ø 1 = 2^4/2 = 8
The answer is C.
Answer: C
Question: 378 × ? = 252
Options:
A)2/3
B)3/4
C)1/2
D)2/8
E)None of these
Rationale: Explanation :
378 × ? = 252
?=252/378=126/189=14/21=2/3
Answer is A
Answer: A
Question: If 1st October is Sunday, then 1st November will be
Options:
A)Saturday
B)Thursday
C)Wednesday
D)Tuesday
E)Monday
Rationale: Explanation:
Given that 1st October is Sunday
Number of days in October = 31
31 days = 3 odd days
(As we can reduce multiples of 7 from odd days which will not change anything)
Hence 1st November = (Sunday + 3 odd days) = Wednesday
Answer: Option C
Answer: C
Question: The ratio of the present age of Viju to that of Aju is 7:2. Four years from now, the ratio of the ages of Viju to Aju will be 5:2. What was Viju age 7 years ago ? (RBI Assistant 2015)
Options:
A)24
B)18
C)14
D)15
E)13
Rationale: Let the present age of Viju be 7x years and that of Aju be 2x years.
Then, 4 years from now
7x + 4 / 2x + 4 = 5 / 2
or 4x = 12
or x = 3
Viju present age = 7 * 3 = 21 years
Viju age 7 years ago = 21 - 7 = 14 years
answer :C
Answer: C
Question: If x = 5 and y = −2, what is the value of (x − 2y)^y?
Options:
A)−100
B)0.2
C)0.01
D)4
E)8
Rationale: Quickly we can spot that answer is neither integer nor negative. Eliminate A, DE
6+4= 10 by inversing and squaring 0.01
Answer:C
Answer: C
Question: Under the Below list which is the smallest prime number:
Options:
A)48
B)41
C)38
D)32
E)30
Rationale: B
41
Answer: B
Question: Two trains are running in opposite directions with the same speed. If the length of each train is 360 m and they cross each other in 12 sec, then the speed of each train is?
Options:
A)22
B)77
C)36
D)108
E)21
Rationale: Let the speed of each train be x m/sec.
Then, relative speed of the two trains = 2x m/sec.
So, 2x = (360 + 360)/12 => x = 30
Speed of each train = 30 m/sec.
= 30 * 18/5 =- 108 km/hr.
Answer: D
Answer: D
Question: If Rs.1000 be invested at interest rate of 5% & the interest be added to the principal every 10 yrs, then the no. of yrs in which it will amount to Rs.2000 is:
Options:
A)16 years
B)16 1/2 years
C)16 2/3 years
D)17 years
E)17 2/3 years
Rationale: Total time= (10+6 2/3) = 16 2/3 years
C
Answer: C
Question: An accurate clock shows 8 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon?
Options:
A)270º
B)360º
C)280º
D)90º
E)180º
Rationale: Angle traced by the hour hand in 6 hours =	(360/12 x 6)º = 180º.
Answer E
Answer: E
Question: A work which could be finished in 12 days was finished 3 days earlier after 10 more men joined. The number of men employed was?
Options:
A)22
B)20
C)88
D)71
E)10
Rationale: x ------- 12
(x + 10) ---- 6
x * 12 = (x + 10)6
x = 10
\Answer: E
Answer: E
Question: A pump can fill a tank with water in 2 hours. Because of a leak, it took hours to fill the tank. The leak can drain all the water of the tank in:
Options:
A)33
B)37
C)76
D)14
E)29
Rationale: Explanation:
Work done by the leak in 1 hour ={\color{Black} \left ( \frac{1}{2}-\frac{3}{7} \right )=\frac{1}{14}}
{\color{Black} \therefore } Leak will empty the tank in 14 hrs
Answer: D) 14 hours
Answer: D
Question: If a class of 10 students has five men, how many ways can the men and women be arranged in a circle so that no two men sit next to each other?
Options:
A)5!4!
B)5!5!
C)4!4!
D)10!
E)10!/5!
Rationale: Let's say that we make a man sits in spot 1. Then, a man must also sit in spots 3, 5, 7, 9. There are 5! ways of arranging the man this way. However, since this is a table (ie: circle), there are 5 ways where the initial man can sit, so we must divide 5! by 5, which equals to 4!.
It follows that a woman must sit in spots 2, 4, 6, 8, 10. There are 5! ways to arrange this.
Therefore, we get 4!5!. So the answer is A) 5!4!
Answer: A
Question: Which one of the following is the least number of four digits divisible by 71?
Options:
A)1288
B)1065
C)1229
D)1727
E)1781
Rationale: Explanation:
1000/71 = 14 6/71
1000 + 71 â€“ 6 = 1065
Answer:B
Answer: B
Question: A train of 24 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.4 km long?
Options:
A)2 mins 14 sec
B)2 mins 34 sec
C)2 mins 54 sec
D)4 mins 54 sec
E)2 mins 44 sec
Rationale: D = 25 * 60 + 1400 = 2900 m
T = 2900/60 * 18/5 = 174 sec = 2 mins 54 sec
ANSWER:C
Answer: C
Question: It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the car is?
Options:
A)3:8
B)3:1
C)3:4
D)3:9
E)3:2
Rationale: Let the speed of the train be x km/hr and that of the car be y km/hr.
Then, 120/x + 480/y = 8 or 1/x + 4/y = 1/15 --- (i)
And, 200/x + 400/y = 25/3 or 1/x + 2/y = 1/24 --- (ii)
Solving (i) and (ii), we get x = 60 and y = 80
Ratio of speeds = 60:80 = 3:4
Answer:C
Answer: C
Question: Excluding stoppages,the speed of the bus is 72kmph and
including stoppages,it is 54kmph. For how many minutes does the bus stop per hr
Options:
A)12 min
B)11 min
C)13 min
D)15 min
E)17 min
Rationale: Due to stoppages,it covers 18km less.
time taken to cover 18 km is [18/72 *60] min = 15min
Answer is D.
Answer: D
Question: .009/?= .01
Options:
A).9
B).09
C).009
D).0009
E)None of them
Rationale: Let .009/x = .01;
Then x = .009/.01
= .9/1
= .9
Answer is A
Answer: A
Question: There are 200 cats in Cat-City. Out of the 200, 70 are street cats and the rest are domestic cats. 110 cats are gray, 25 out of the gray cats are NOT domestic ones. How many domestic cats are there which are not gray in Cat-City?
Options:
A)90.
B)45.
C)50.
D)40.
E)25.
Rationale: STREET-CAT DOMESTIC-Cat
70 130
(25gray+45other) 85gray+45other
Answer:B
Answer: B
Question: A credit card number has 6 digits (between 1 to 9). The first two digits are 12 in that order, the third digit is bigger than 4, the forth is divisible by 3 and the fifth digit is 3 times the sixth. How many different credit card numbers exist?
Options:
A)27
B)36
C)72
D)112
E)45
Rationale: {1}{2}{greater than 6}{divisible by 3}{3x}{x}:
The third digit can take 5 values: 5,6,7, 8, or 9.
The fourth digit can take 3 values: 3, 6, or 9.
The fifth and sixth digits can take 3 values: 31, 62, or 93.
Total = 5*3*3 = 45.
Answer: E.
Answer: E
Question: If the price of petrol increases by 25, by how much must a user cut down his consumption so that his expenditure on petrol remains constant?
Options:
A)25%
B)20%
C)16.67%
D)33.33%
E)None of these
Rationale: Explanation :
let us assume before increase the petrol will be Rs. 100.
After increase it will be Rs (100+25) i.e 125.
Now, his consumption should be reduced to :-
=125−100125∗100.
Hence, the consumption should be reduced to 20%.
Answer : B
Answer: B
Question: A clock shows the time as 9 a.m. If the minute hand gains 5 minutes every hour, how many minutes will the clock gain by 4 p.m.?
Options:
A)30 min
B)35 min
C)45 min
D)50 min
E)55 min
Rationale: there are 7 hours in between 9 a.m. to 4 p.m.
7*5=35 minutes.
ANSWER:B
Answer: B
Question: X and Y are positive two-digit integers such that the tens digit in X is the same as the units digit in Y, and the units digit in X is the same as the tens digit in Y. Which of the following CANNOT be the difference of X and Y ?
Options:
A)72
B)45
C)27
D)33
E)9
Rationale: X and Y are positive two-digit integers such that the tens digit in X is the same as the units digit in Y, and the units digit in X is the same as the tens digit in Y:
X = 10a + b
Y = 10a + b
X - Y = (10a + b) - (10a + b) = 9(a - b). As you can see the difference must be a multiple of 9. Only option D is not a multiple of 9.
Answer: D.
Answer: D
Question: Shobha’s mathematics test had 75 problems i.e.10 arithmetic, 30 algebra and 35 geometry problems. Although she answered 70% of the arithmetic ,40% of the algebra, and 60% of the geometry problems correctly. she did not pass the test because she got less than 60% of the problems right. How many more questions she would have to answer correctly to earn 60% of the passing grade?
Options:
A)3
B)2
C)6
D)5
E)4
Rationale: Number of questions attempted correctly
=(70% of 10 + 40% of 30 + 60% 0f 35)
=7 + 12+21= 45
questions to be answered correctly for 60% grade=60% of 75 = 45
therefore required number of questions= (45-40) = 5
Answer is D.
Answer: D
Question: Solve the following quadratic equation by factoring.
X2+15X=50
Options:
A)10,4
B)4,-10
C)5,10
D)-5,10
E)6,3
Rationale: Now all we need to do is use the zero factor property to get,
X+5 = 0 X=-5 OR
X+10=0, X = -10
ANSWER D
Answer: D
Question: A caterer ordered 125 ice-cream bars and 125 sundaes. If the total price was $275.00 and the price of each ice-cream bar was $0.60, what was the price of each sundae?
Options:
A)$0.60
B)$0.80
C)$1.00
D)$1.20
E)$1.60
Rationale: Let price of a sundae = S
Price of ice cream bar = .6 $
125 * .6 + 125*S = 275
=> 125*S =200
=> S = 1.6
Answer E
Answer: E
Question: If x and y are prime numbers such that x > y > 1, then x^2 − y^2 must be divisible by which one of the following numbers?
Options:
A) 3
B) 4
C) 5
D) 9
E) 12
Rationale: If x=3 and y=2, then x^2-y^2=5 and 5 is divisible only by 5 from the options, thus it must be correct.
Answer: C.
Answer: C
Question: Set S consists of all prime integers less than 10. If two numbers are chosen form set S at random, what is the probability that the product of these numbers will be greater than the product of the numbers which were not chosen?
Options:
A)1/3
B)2/3
C)1/2
D)7/10
E)4/5
Rationale: S={2, 3, 5, 7}
The simplest way would be to realize that we choose half of the numbers (basically we divide the group of 4 into two smaller groups of 2) and since a tie is not possible then the probability that the product of the numbers in either of subgroup is more than that of in another is 1/2 (the probability doesn't favor any of two subgroups).
Answer: C
Answer: C
Question: Salaries of Ravi and Sumit are in the ratio 2:3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40:57. What is Sumit's present salary?
Options:
A)Rs.38,0387
B)Rs.38,038
C)Rs.38,036
D)Rs.38,000
E)Rs.38,098
Rationale: Let the original salaries of Ravi and Sumit be Rs. 2x and Rs. 3x respectively.
Then, (2x + 4000)/(3x + 4000) = 40/57
6x = 68000 => 3x = 34000
Sumit's present salary = (3x + 4000) = 34000 + 4000 = Rs.38,000.
Answer: D
Answer: D
Question: How much time will it take for an amount of Rs. 600 to yield Rs. 30 as interest at 2% per annum of simple interest?
Options:
A)8.1 years
B)4.2 years
C)7 years
D)6 years
E)2.5 years
Rationale: Explanation:
Time = (100 x 81)/(450 x 4.5) years
= 2.5 years.
Answer: E
Answer: E
Question: If there are 4 peanuts in a box and Mary puts 6 more peanuts inside, how many peanuts are in the box?
Options:
A)8
B)9
C)10
D)11
E)12
Rationale: 6+4=10
correct answer is C)10
Answer: C
Question: Cars C1 and C2 travel to a place at a speed of 30 and 45 km/h respectively. If car C2 takes 21⁄2 hours less time than C1 for the journey, the distance of the place is
Options:
A)300 km
B)400 km
C)350 km
D)225 km
E)None of these
Rationale: Let C1 takes t hrs. Then,
∴ Distance is same.
∴ 30t = 45(t - 5⁄2)
⇒ t = 15⁄2 hrs.
∴ Distance = 30 × 15⁄2 = 225 km
Answer D
Answer: D
Question: Solution X is 10 percent alcohol by volume, and solution Y is 30 percent alcohol by volume. How many milliliters of solution Y must be added to 300 milliliters of solution X to create a solution that is 22 percent alcohol by volume?
Options:
A)300
B)350
C)400
D)450
E)500
Rationale: 22% is 12%-points higher than 10% but 8%-points lower than 30%.
Thus there should be 2 parts of solution X for 3 parts of solution Y.
We should add 450 ml of solution Y.
The answer is D.
Answer: D
Question: If each term in the sum a1+a2+a3+.....+an is either 7 or 77 and the sum equals 357, which of the following could be equal to n?
Options:
A)38
B)39
C)40
D)41
E)42
Rationale: Since, there is no 51 in the answer choices (357/7 = 51), we know there is at least one 77.
357 - 77 = 280
280/7 = 40
40+1 = 41.
If 41 wasn't there, I would have subtracted 77 from 280 and continued in a similar way.
Ans. D
Answer: D
Question: If a(a - 4) = 21 and b(b - 4) = 21, where a ≠ b, then a + b =
Options:
A) −48
B) −2
C) 4
D) 46
E) 48
Rationale: a(a - 4) = 21 and b(b - 4) = 21
=> a, b must be integers and if a is -3 or 7, b will be 7 and -3 respectively
=> a+b = 4
Ans: C
Answer: C
Question: The areas, in kilometers squared, of some countries are given below. USA: 9,629,091, Russia: 22,098,242, China: 9,598,094, Canada: 9,984,670, the UK: 242,400 and India: 3,287,263.
What is the difference between the areas of Russia and China?
Options:
A)5,476,811 kilometers squared
B)12,500,148 kilometers squared
C)9,843,123 kilometers squared
D)1,878,965 kilometers squared
E)4,787,900 kilometers squared
Rationale: he difference between the areas of Russia and China is given by
22,098,242 - 9,598,094 = 12,500,148 kilometers squared
correct answer B
Answer: B