MU-NLPC/Calc-aqua_rat huggingface dataset:
mixture contains alcohol and water in the ratio 4 : 3. If 5 liters of water is added to the mixture, the ratio becomes 4: 5. Find the quantity of alcohol in the given mixture.	Choose the most appropriate option:
A) 10
B) 99
C) 27
D) 22
E) 29

Solution: Let the quantity of alcohol and water be 4x litres and 3x litres respectively   20x = 4(3x+5)   8x = 20   x = 2.5   Quantity of alcohol = (4 x 2.5) litres = 10 litres.   10nswer: 10
Answer: A
A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train? Choices.
A) 228  B) 2000  C) 267  D) 270  E) 274

Solution: Speed = 72 * 5/18= 
72 * 5/18 = 20
20 m/sec.   Time= 26 sec.   Let the length of the train be x meters.   Then, (x + 250)/26 = 20   x = 270 m.   Answer: 270
Answer: D
Larry, Michael, and Lily have five donuts to share. If any one of the men can be given any whole number of donuts from 0 to 5, in how many different ways can the donuts be distributed? Pick one:
A) 21  B) 42  C) 120  D) 504  E) 5040

Solution: Larry, Michael, and Lily have five donuts to share to get the answer, see how can we get sum5with 3 numbers.   1) 0,0,5 = 3 combinations or 3! /2!   2) 0,1,4 = 6 combinations or 3!   similarly   3) 0,2,3 = 6 combinations   4) 1,1,3 = 3 combination   5) 2,2,1 = 3 combination   total =21=21
Answer: A
A lady starts from P towards Q and realizes that at a point R, if he walks 50 km further he will be at a point S, which is as far away from R as it is from Q. What is the distance between P and Q if the distance between P and R is half the distance from R to Q?( Assume that P, Q, R and S are all on the same straight line) Choose the correct choice
A) 150 km  B) 200 km  C) 250 km  D) 125 km  E) 155 km

Solution: P___50_____ R ___50_____S____50 ___Q   The above figure gives the locations of P, R, S &Q in relation to each other.   150 kmNSWER:150 km
Answer: A
A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good?	Answers:
A) 125/119
B) 125/129
C) 125/126
D) 125/129
E) 125/192

Solution: Required probability   = 1 - 1/126   = 125/126   Answer:125/126
Answer: C
A certain car can travel 32 kilometers on a liter of fuel. If the fuel tank’s contents decrease by 3.9 gallons over a period of 5.7 hours as the car moves at a constant speed, how fast is the car moving, in miles per hour? (1 gallon = 3.8 liters; 1 mile = 1.6 kilometers)  Choose the correct choice from the following choices:
A) 52	B) 65	C) 78	D) 91	E) 104

Solution: Fuel used 3.9 gallons ;convert to liters--> 3.9 x 3.8 liters   Time = 5.7 hours   1 mile = 1.6 kilometers ;convert to miles--> 1km = 1/1.6 mile   Speed (km/hour)  --  1= 
  --  1 = 1
1/1.6 mile   Speed (km/hour)= D/T = 32 (km*) x 3.9 x 3.8 / 5.7   replace (km*) to miles ; multiply by 1/1.6 mile   Speed (miles/hour)= 32 x 3.9 x 3.8 / 5.7 x 1.6 = 78 miles/hour   52ns :52   PS :i felt the factors were easy to cancel out ,so didn't require much rounding off   = 32 x 3.9 x 3.8 / 5.7 x 1.6   = 52   52
Answer: A
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?  Choose the correct choice:	A) Rs.6725	B) Rs.6729	C) Rs.6710	D) Rs.6725	E) Rs.6721

Solution: :   CP = SP * (100/(100 + profit%))   = 8339(100/124)   = Rs.6725.   Answer: Rs.6725
Answer: D
Find the invalid no.from the following series 13, 18, 25, 30, 37, 40
Choose one.
A) 13
B) 18
C) 40
D) 30
E) 37

Solution: The differences between two successive terms from the beginning are 7, 5, 7, 5, 7, 5. So, 40 is wrong.   40
Answer: C
Pascal has 96 miles remaining to complete his cycling trip. If he reduced his current speed by 4 miles per hour, the remainder of the trip would take him 16 hours longer than it would if he increased his speed by 50%. What is his current speed O?
Choose the correct answer:
A) 6
B) 8
C) 10
D) 12
E) 16

Solution: Let the current speed be x miles per hour.   Time taken if speed is 50% faster (i.e. 3x/2 = 1.5x) = 96/1.5x   Time taken if speed is reduced by 4 miles/hr (i.e. (x-4)) = 96/(x-4)   As per question, 96/(x-4) - 96/1.5x = 16   Solving this O we get x = 8.   8.
Answer: B
If L is the least positive integer that is divisible by every integer from 1 to 9 inclusive, then L/2 is =	Choose the correct answer
A) 5040 B) 2520 C) 1890 D) 1260 E) 630

Solution: The integer should be divisible by: 2, 3, 4, 5, 6, 7, 8 and 9, that is 2, 3, 2^2, 5, 2*3, 7, 2^3 and 3^2. The least common multiple of these integers is the product of 7, 5, 3^2 and 2^3. Then, L/2 is (7 * 5 * 3^2 * 2^3)/2 = 7*5*9*4= 
7*5*9*4 = 1_260
1260.   Answer: 1260.
Answer: D
A cistern 9 m long and 6 m wide contains water up to a breadth of 2 m 25 cm. Find the total area of the wet surface.
Choose the most appropriate option.
A) 142 m sqaure	B) 122 m sqaure	C) 135 m sqaure	D) 188 m sqaure	E) None of these

Solution: Explanation:   Area of the wet surface =   2[lb+bh+hl] - lb = 2 [bh+hl] + lb   = 2[(6*2.25+9*2.25)]+9*6 = 122 m square   Option 122 m sqaure
Answer: B
Which number is the odd one out?
159
248
963
357
951
852 Select
A) 154
B) 248
C) 536
D) 645
E) 135

Solution: 248   248   In the rest there is the same difference between each digit, eg: 8 (â€“3) 5 (â€“3) 2.
Answer: B
If the average of a sequence of consecutive multiple of 18 is 153, and the greatest term is 270, how many terms W in the sequence are smaller than the average? Options
A) 5  B) 6  C) 7  D) 8  E) 9

Solution: Let the sequence have N terms starting 18*K   --> 18K, 18(K+1), 18(K+2), .... , 18(K+N-1) is the sequence.   The sum of the sequence is   ---> 18K + 18(K+1) + 18(K+2) + .... + 18(K+N-1) =18*(K+(K+1)+...+(K+N-1)) = 18*(N*(2K+N-1)/2).   So the average is   153=[18*(N*(2K+N-1)/2)]/N = 18*(2K+N-1)/2 = 9 *(2K+N-1) ---> by cancelling 9 we get 2K+N-118*(2 + -1)/2= 
18*(2 + -1)/2 = 9
9 *(2K+N-1) ---> by cancelling 9 we get 2K+N-1=17 --> 2K+N=18 ---*).   On the other hand, since the greatest term is 270, 18(K+N-1)=270 --> by cancelling 18 we get K+N-1=15 --> K+N=16 ---**).   By *), **) we have K=2, N=14.   Since 153/18= 
153/18 = 17/2 = around 8.5
8.5, 18*8<153<18*9. So the number of terms W which are smaller than the average is 18*2, 18*3, ..... ,18*8 ---> 7. The answer is 7.
Answer: C
150 ml of 30% sulphuric acid was added to approximate 400 ml of 12% sulphuric acid solution. Find the approximate concentration Q of the acid in the mixture?
Choose the most appropriate option:
A) 1/2
B) 1/3
C) 1/4
D) 1/6
E) 1/5

Solution: Do not need any computation   30%-----------21%---------12%   if volume of both sol. were equal the concentration Q would be 21%=1/5, but 12% is more than 3 times   only possibility is 1/6   1/6
Answer: D
In a simultaneous throw of 2 dice, what is the probability of getting a doublet?
Answers.
A) 1/3
B) 1/6
C) 1/2
D) 2/3
E) 1/5

Solution: n(S) = 6*6= 
6*6 = 36
36   E= event of getting a doublet = {(1,1),(2,2),(3,3),(4,4),(5,5),(6,6)} = 6   Probability = 6/36 = 1/6   Answer is 1/6
Answer: B
The number 181 can be written as sum of the squares of 2 different positive integers. What is the difference of these 2 different integers?	Select:
A) 3
B) 2
C) 1
D) 4
E) 5

Solution: sum of the squares of 2 different positive integers = 181   10^2 + 9^2 = 181   now,   differene of these 2 different integers = 10-9= 
10-9 = 1
1   Ans - 1
Answer: C
Three-fourth of two-third of three-seventh of a number is 27. what is 10% of that number?  Pick one: A) 12.6% B) 6.3% C) 27% D) 25.2% E) None of these

Solution: Explanation :   Solution: Assume the number be x. then, 3/4 of 2/3 of 3/7 of x = 27.   x = 27 * 7/3 *3/2 * 4/3.= 
27 * 7/3 *3/2 * 4/3. = 126
126   .'. 10% of 126= 10/100 * 126= 
10/100 * 126 = 63/5 = around 12.6
12.6   12.6%nswer : 12.6%
Answer: A
A merchant marks goods up by 80% and then offers a discount on the marked price. The profit that the merchant makes after offering the discount is 35%. What % discount did the merchant offer? Pick one
A) 20% B) 25% C) 30% D) 35% E) 40%

Solution: Let P be the original price of the goods and let x be the rate after the markup.   (1.8P)*x = 1.35P   x = 1.35/1.8= 
1.35/1.8 = 0.75
0.75 which is a discount of 25%.   The answer is 25%.
Answer: B
Anand and Deepak started a business investing Rs. 1500 and Rs. 2000 respectively. Out of a total profit of Rs. 1300, Deepak's share is: Pick.
A) 1776.25 B) 2687 C) 8400 D) 1688.12 E) 1714.28

Solution: Ratio of their shares = 1500 : 2000= 3:4   Deepak's share = 3000* 4/7 = Rs. 1714.28.   Answer: 1714.28
Answer: E
Evaluate: (1 - 1/10)(1 - 1/11)(1 - 1/12)...(1 - 1/99)(1 - 1/100)
Answers:  A) 5/100  B) 6/100  C) 7/100  D) 8/100  E) 9/100

Solution: (1 - 1/10)(1 - 1/11)(1 - 1/12)...(1 - 1/99)(1 - 1/100)   = (9/10)(10/11)(11/12)...(98/99)(99/100)   = 9/100 : simplify   correct answer 9/100
Answer: E
Amar takes as much time in running 22 meters as a car takes in covering 58 meters. What will be the distance covered by Amar during the time the car covers 2.6 km? Choose the correct answer
A) 700 m	B) 978 m	C) 970 m	D) 986 m	E) 640 m

Solution: 986 mistance covered by Amar   = 22/58 (2.6km)   = 11/29(2600) = 986 m   Answer: 986 m
Answer: D
In a dairy farm, 55 cows eat 55 bags of husk in 55 days. In how many days one cow will eat one bag of husk ?	Choices:
A) 34 days
B) 40 days
C) 46 days
D) 50 days
E) 55 days

Solution: 55 daysxplanation:   Less Cows, More days (Indirect Proportion)   Less bags, Less days (Direct Proportion)   [Cows1 55   Bags 55 1]::55:x   =>x∗55∗1=55∗1∗55   =>x=55   Option 55 days
Answer: E
If $750 is deposited into a savings account at an annual interest rate of 4% that compounds monthly, what is the value of the investment after 6 years?	Select
A) $950.00  B) $953.03  C) $973.25  D) $900.25  E) $910.00

Solution: Using CI Formula:   A=P(1+r/n)^n*t   A=750(1+4/6)^4*6   A=953.03   Option: $953.03
Answer: B
How many points (x, y) lie on the line segment between (15, 12 2/3) and (7, 17 2/3) such that x and y are both integers?	Options.
A) 1
B) 5
C) 7
D) 8
E) 9

Solution: slope = (17 2/3 - 12 2/3) / (7 - 15) = -5/8   y = mx + b => 12 2/3 = -15*5/8 + b => b = 1   y = -75x/8 + 22   Only integer values work, and the only multiples of 8 between 7 and 15 for x value is 8 , thus 1 point.   1
Answer: A
Two cards are drawn from a pack of 52 cards . the probability that either both are red or both are kings ,is
Select
A) 85/528 B) 78/587 C) 55/221 D) 85/25 E) 78/54

Solution: clearly n(S)=52C2=(52*51)/2= 
(52*51)/2 = 1_326
1326   let E1=event of getting both red cards,   let E2=event of getting both kings.   then E1nE2= event getting 2 kings of red cards.   n(E1)=2655/2212=(26*25)/2*1= 
(26*25)/2*1 = 325
325   n(E2)=455/2212=(12)/2= 
(12)/2 = 6
6   n(E1nE2)=255/2212=1   p(E1)=n(E1)/n(S)=325/1326   p(E2) =n(E1)/n(S)=6/1326   p(E1nE2)=1/1326   p (both red or both kings=p(E1UE2)   p(E1)+p(E2)-p(E1nE2)   325/1326+6/1326-1/1326=330/1326   =55/221   Answer (55/221)
Answer: C
A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 108 km/hr, what is the length of the platform?	Choose the most appropriate option.
A) 338 B) 240 C) 287 D) 267 E) 480

Solution: Speed = (108 * 5/18) m/sec = 30 m/sec. Length of the train = (30 x 20)m = 600 m. Let the length of the platform be x meters. Then, (x + 600)/36 = 30 ==> x + 600 = 1080 ==>   x = 480 m.   Answer:480
Answer: E
A certain office supply store stocks 2 sizes of self-stick notepads, each in 6 colors. The store packs the notepads in packages that contain either 3 notepads of the same size and the same color or 3 notepads of the same size and of 3 different colors. If the order in which the colors are packed is not considered, how many different packages of the types described above are possible? Choose the correct choice from the following.
A) 6	B) 8	C) 16	D) 24	E) 52

Solution: Notepads of the same color = 6 (we have 6 colors). As we have two sizes then total for the same color=6*2= 
6*2 = 12
12   Notepads of the different colors= 6C3=20 (we should choose 3 different colors out of 6). As we have two sizes then total for the different color=20*2= 
20*2 = 40
40   Total=40+12= 
40+12 = 52
52   Answer: 52.
Answer: E
A trader sells 85 meters of cloth for Rs. 8925 at the profit of Rs. 15 per metre of cloth. What is the cost price of one metre of cloth?  Choose the correct choice from the following answers:  A) Rs.90  B) Rs.76  C) Rs.98  D) Rs.18  E) Rs.02

Solution: SP of 1m of cloth = 8925/85 = Rs. 105   CP of 1m of cloth = SP of 1m of cloth - profit on 1m of cloth   = Rs. 105 - Rs. 15 = Rs.90.   Answer:Rs.98
Answer: C
In an exam, Amar scored 64 percent, Bhavan scored 36 percent and Chetan 44 percent. The maximum score awarded in the exam is 800. Find the average mark scored by all the three boys?	Choose the correct choice from the following answers:
A) 384	B) 882	C) 270	D) 377	E) 262

Solution: 384verage mark scored by all the three boys   = [64/100 (800) + 36/100 (800) + 44/100 (800)] / 3   = 384   384nswer:384
Answer: A
The strength of a school increases and decreases every alternate year. It starts with increase by 10% and there-after the percentage of increase/decrease is the same. Which of the following is definitely true about the strength of the school in 2001 as compared to that in 1996?
Choose the correct answer:
A) Increase approximately by 2%  B) Decrease approximately by 2%  C) Increase approximately by 20%  D) Decrease approximately by 20%  E) None of these

Solution: Let the strength of school was x in 1998   ∴ strength in 2001 will be   = x110⁄100 × 90⁄100 × 110⁄100 × 90⁄100 × 110⁄100 = 1.07811 x   increment = 1.07811 x – x = 0.07811 x   ∴ % increase = 7.811 ≈ 8%   Answer None of these
Answer: E
The area of a square is equal to twice the area of a rectangle of dimensions 32 cm * 64 cm. What is the perimeter of the square?
Choose the correct option:
A) 236
B) 256
C) 456
D) 656
E) 756

Solution: Area of the square = s * s = 2(32 * 64)   => s = 64 cm   Perimeter of the square = 4 * 64= 
4 * 64 = 256
256cm.   Answer: Option 256
Answer: B
The average of six numbers is X and the average of three of these is Y.If the average of the remaining
three is z, then Pick one.
A) x = y + z	B) 2x = y + z	C) x = 2y + z	D) x = y + 2z	E) None of these

Solution: Explanation:   X =((3y+3z)/6)   or   2X= y + z   Answer: Option 2x = y + z
Answer: B
L = {3, 4, 5, 5, 6, 7}
M = {2, 2, 2, 8, 8, 8}
N = {15, 15, 15, 15, 15, 15}
Rank those three sets from least standard D eviation to greatest standard deviation.	Choose the correct choice from the following answers.
A) L, M, N	B) M, L, N	C) M, N, L	D) RANKING=N, L, M	E) N, M,

Solution: Square of Standard deviation is sum of squares of deviation from the mean divided by the number of terms.   If deviation from the mean is higher for the same number of elements, standard deviation will be higher.   L = {3, 4, 5, 5, 6, 7}   Mean is 5 and deviation of 2 elements from mean is 0, of 2 elements is 1 and of 2 elements is 2.   M = {2, 2, 2, 8, 8, 8}   Mean is 5 and deviation of all elements from the mean is 3. So SD here will be higher than SD of L.   N = {15, 15, 15, 15, 15, 15}   Mean is 15 here and all elements have 0 deviation from mean so SD = 0 here. This is the minimum possible SD.   Answer N, L, M   Answer (RANKING=N, L, M)
Answer: D
The arithmetic mean of 5 negative integers is -100. If the average of 3 of these integers is -90, what is the least possible value that one of the other 2 integers can have?
Choose the correct choice from the following options:  A) 229  B) -1  C) -229  D) 90  E) -90

Solution: The Arithmetic Mean of 5 negative integers is (a+b+c+d+e)/5=-100   So, The sum of 5 negative integers would be a+b+c+d+e=-100*5 = -500   Similarly, The sum of 3 negative integers would be a+b+c= -90*3 = -270   Thus, the sum of the other 2 integers is -500 + 270= -230. Since we know that the integers are negative then the least one from these two can be -229, the other one being -1.   Hence, the correct ans is -229
Answer: C
For every positive integer n, the nth term of sequence is given by an= 1/n - 1/(n+1). What is the sum of the first 75 terms?	Select the correct option.
A) 25/26 B) 40/41 C) 75/76 D) 150/151 E) 151/75

Solution: a1 = 1 - 1/2   a2 = 1/2 - 1/3   a3 = 1/3 - 1/4   etc...   a75 = 1/75 - 1/76   The sum of these terms is 1-1/76 = 75/76   The answer is 75/76.
Answer: C
A wheel rotates 20 times every minute and moves 30 cm during each rotation. How many metres does the wheel move in one hour? Choose the correct choice from the following choices:
A) 360 metre
B) 12 metre
C) 320 metre
D) 1200 metre
E) 260 metre

Solution: Number of times wheel moves in 1 hour = 20 * 30 = 1200   :. Distance moves = (1200*30)= 
(1200*30) = 36_000
36000 cms   In metres= 360 metre   360 metreNSWER:360 metre
Answer: A
In a one km race A gives B a start of 100m and in a one km race B gives a start of 80 m to C. In a 1 km race who will win and by how much distance from the worst performer between two losers?  Choices
A) 172 m
B) 372 m
C) 172 m
D) 772 m
E) 632 m

Solution: Ratio of speeds of A:B = 1000:900 = 100:90   Ratio of speeds of B:C = 1000:920 = 100:92   Therefore, when A moves 1000m , B moves 900 m and when B moves 900m, C moves 828m   Thus,   Since , C moves 8 % less than B in the same time . Thus, C is the worst performer and 172 m will win by him by 172 m   172 mNSWER=172 m
Answer: A
How many 4-digit numbers contain no.2?
Select:
A) 22  B) 98  C) 28  D) 29  E) 22

Solution: Answer:98
Answer: B
A wheel has a diameter of x inches and a second wheel has a diameter of y inches. The first wheel covers a distance of d feet in 300 revolutions. How many revolutions does the second wheel make in covering d feet? Pick: A) 300xy B) 300y - x C) 300x - y D) 300y/x E) 300x/y

Solution: First Wheel with diameter x inches ----> So the circumference = x*pi --------- (1)   Second Wheel with diameter y inches ----> So the circumference = y*pi --------- (2)   Revolutions = distance/circumference   So, from equation (1)   300 = d/(x*pi)   d = 300 * x * pi ---------- (3)   From equation (2)   Revolutions = d/(y*pi) = (300 * x * pi) / (y*pi) = 300x/y   Answer (300x/y)
Answer: E
If you divide 7^84 by 5, which remainder do you get?	Pick
A) 0
B) 1
C) 2
D) 3
E) 4

Solution: The units digit of 7^1 is 7.   The units digit of 7^2 is 9.   The units digit of 7^3 is 3.   The units digit of 7^4 is 1.   The units digit of 7^5 is 7.   etc...   The units digit of 7^n repeats in blocks of 4: {7, 9, 3, 1}   The remainder of 84/4 is 0.   So the units digit of 7^84 is 1.   The remainder of 7^84 / 5 is 1.   The answer is 1.
Answer: B
In how many ways can 4 boys and 2 girls sit around a table in such a way that no two girls sit together?	Choose the correct choice from the following answers: A) 74 B) 72 C) 78 D) 82 E) 68

Solution: The 4 boys can be seated around a table in 3! Ways. In between them there are 4 places.   The 2 girls can be placed in the 4 places in 4P2 ways.   Therefore, Required number of ways= 3!* 4P2   =6*12= 
6*12 = 72
72   ANSWER:72
Answer: B
A completes a work in 12 days and B complete the same work in 24 days. If both of them work together, then the number of days required to complete the work will be?
Choose the correct choice from the following answers
A) 8 days  B) 10 days  C) 12 days  D) 14 days  E) 16 days

Solution: If A can complete a work in x days and B can complete the same work in y days, then, both   of them together can complete the work in x y/ x+ y days   Therefore, here, the required number of days = 12 × 24/ 36 = 8 days.   8 days)
Answer: A
The sum of three consecutive even numbers is 20 more than the first of these numbers. What is the middle number?	Choose the correct choice from the following choices:
A) 7
B) 9
C) 11
D) Cannot be determined
E) None of these

Solution: Solution   Let the numbers be x, x + 2 and x + 4.   Then, x + (x + 2) + (x + 4) = x + 20 ⇔ 2x = 14 ⇔ x = 7.   ∴ Middle number = x + 2 = 9.   Answer 9
Answer: B
In how many ways can a committee consisting of 4 men and 5 women be formed from a group of 9 men and 9 women? Pick one
A) 9C4 9C5 B) 4C9 5C9 C) 7C5 9C4 D) 9C4 7C5 E) NONE

Solution: Group consisting of 9 men and 9 women   4 men can be selected from 9 men in 9C4 ways   5 women can be selected from 9 women in 9C5 ways   Therefore, Total number of ways= 9C4 9C5   9C4 9C5NSWER:9C4 9C5
Answer: A
a number when divided by 899 gives a remainder 63. what remainder will be obtained by dividing the same number by 29	Choose the correct option: A) 8 B) 5 C) 7 D) 6 E) 9

Solution: 63 / 29, thereforerequired number is: 5, correct answer (5)
Answer: B
For the integer n, if n*n*n is odd, then what is true Options.
A) n is odd and n*n is even B) n*n is odd C) n is even D) n*n is odd E) None of these

Solution: Option n is odd and n*n is even
Answer: A
How many 4 digit numbers are there, if it is known that the first digit is even, the second is odd, the third is prime, the fourth (units digit) is divisible by 5, and the digit 2 can be used only once? Options
A) 20
B) 150
C) 225
D) 300
E) 320

Solution: 4 options for the first digit: 2, 4, 6, 8;   5 options for the second digit: 1, 3, 5, 7, 9;   4 options for the third digit: 2, 3, 5, 7;   4 options for the fourth digit: 0, 5.   Four digit # possible without the restriction (about the digit 2): 4*5*4*2=160   Numbers with two 2-s, 2X2X 1*5*1*2=10.   Thus there are 160-10= 
160-10 = 150
150 such numbers.   Answer: 150.
Answer: B
A fellow borrowed a certain sum of money at 6% per annum at simple interest and in 6 years the interest amounted to Rs.672 less than the sum lent. What was the sum lent? Select the correct option.
A) 1050 B) 1220 C) 1250 D) 1060 E) 1110

Solution: P - 672 = (P*6*6)/100   P = 1050   1050nswer: 1050
Answer: A
The H.C.F of two numbers is 23 and the other two factors of their L.C.M are 13 and 14. The larger of the two numbers is: Pick:
A) 338
B) 278
C) 322
D) 231
E) 121

Solution: Clearly, the numbers are (23 * 13) and (23 * 14). Larger number   = (23 * 14)= 
(23 * 14) = 322
322.   Answer: 322
Answer: C
In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mixture worth Rs. 16.50 kg?
Choose the correct choice:  A) 7:3  B) 3:7  C) 4:6  D) 5:7  E) 8:9

Solution: Required rate = 3.50 : 1.50 = 7 : 3.   7:3NSWER 7:3
Answer: A
The reflex angle between the hands of a clock at 10.25 is Choose the correct option:	A) 180°	B) 192 ½°	C) 195°	D) 197 ½°	E) None

Solution: Solution   Angle traced by hour hand in 125 / 12 hrs.	=[360/12 x 125/12]°   = 312½°.   Angle traced by minute hand in 25 min.	= [360/60 x 25]°   =150°.   Reflex angle	= 360 - (312½ -150)°   =360° - 162 ½°   = 197½°.   Answer 197 ½°
Answer: D
John and David can finish a job together in 3 hours. If John can do the job by himself in 4 hours, what percent of the job does David do?	Options.
A) 35%	B) 28%	C) 26%	D) 20%	E) 25%

Solution: You can also plug in numbers. For example, Bob and Alice work at a donut factory and make 12 donuts which is the job ( I picked this as a SMART number).   John on his own works  12/4= 
 12/4 = 3
3 donuts per hour.   John and David work   12/3= 
  12/3 = 4
4 donuts per hour so David works 1 donuts/hour   To find out the percentage, David works 1 donuts/hr x 3 hours= 3 donuts per hour.   Therefore 3 donuts/12donuts = 1/4 = 25%   Answer : 25%
Answer: E
During a certain week, a seal ate 55% of the first 80 smelt it came across, and 30% of the remaining smelt it came across. If the seal ate 40% of the smelt it came across during the entire week, how many smelt did it eat?
Pick one:
A) 32  B) 80  C) 55  D) 64  E) 80

Solution: Total smelt = x.   Then, 0.55*80+0.3(x-80)=0.4*x --> x=200 --> 0.4*x=80.   Answer: 80.
Answer: B
The breadth of a rectangular field is 60% of its length. If the perimeter of the field is 800 m.What is the area of the field? Choose the correct option: A) 18750 sq.m B) 37500 sq.m C) 40000 sq.m D) 48000 sq.m E) None of these

Solution: Solution   So length =250 m; breadth=150m   Area	= (250 x 150)m²   = 37500 m²   Answer 37500 sq.m
Answer: B