MU-NLPC/Calc-aqua_rat huggingface dataset:
A certain sum of money is divided among A, B and C so that for each Rs. A has, B has 65 paisa and C 40 paisa. If C's share is Rs.40, find the sum of money?
Choose the correct choice from the following answers.
A) Rs.208  B) Rs.279  C) Rs.228  D) Rs.205  E) Rs.225

Solution: A:B:C = 100:65:40   = 20:13:8   8 ---- 40   41 ---- ? => Rs.205   Answer:Rs.205
Answer: D
The speed of a car increases by 2 kms after every one hour. If the distance travelling in the first one hour was 35 kms. what was the total distance travelled in 12 hours?
Options.
A) 456 kms
B) 482 kms
C) 552 kms
D) 556 kms
E) None of these

Solution: Explanation:   Total distance travelled in 12 hours =(35 + 37 + 39 + .....upto 12 terms)   This is an A.P with first term, a=35, number of terms,   n = 12 , d = 2.   Required distance = 12/2[2 × 35 + {12 - 1) × 2] =6(70 + 23)   = 552 kms.   Answer: 552 kms
Answer: C
A tank can be filled by a tap in 20 minutes and by another tap in 60 minutes. Both the taps are kept open for 10 minutes and then the first tap is shut off. After this, the tank will be completely filled in what time ? Select
A) 10 mins
B) 15 mins
C) 20 mins
D) 25 mins
E) 30 mins

Solution: Explanation:   How we can solve this question ?   First we will calculate the work done for 10 mins, then we will get the remaining work, then we will find answer with one tap work, As   Part filled by Tap A in 1 min = 1/20   Part filled by Tap B in 1 min = 1/60   (A+B)'s 10 mins work =   10∗(1/20+1/60)   =10∗4/60=2/3   Remaining work = 1−2/3=1/3   METHOD 1   =>1/60:1/3=1:X   =>X=20   METHOD 2   1/60 part filled by B in=1min1/3 part will be filled in=1/3/1/60=60/3= 
60/3 = 20
20   Option 20 mins
Answer: C
If x and y are integers and xy = 330, x or y must be divisible by which of the following?	Pick
A) 3  B) 4  C) 6  D) 20  E) 30

Solution: xy = 330 = 2 * 3 * 5 * 11   One of x or y must be divisible by 3.   The answer is 3.
Answer: A
What will be remainder when (67^67 + 67) is divided by 68 ?
Choose the correct option:
A) 65	B) 66	C) 67	D) 71	E) 72

Solution: (xn + 1) will be divisible by (x + 1) only when n is odd.   (67^67 + 1) will be divisible by (67 + 1)   (67^67 + 1) + 66, when divided by 68 will give 66 as remainder.   66)
Answer: B
If A : B= 3 : 5 and B : C = 7 : 9, then A : B : C is:  Pick one:
A) 2:4:8
B) 21:35:45
C) 5:10:15
D) 12:24:36
E) 36:42:8

Solution: A:21:35:45=3:5, 21:35:45:C=7:9, A:21:35:45:C=3Ã—7:7Ã—5:5Ã—9   â‡’ 21:35:45   Answer: 21:35:45.
Answer: B
The expenses of organizing a garden party increased from Rs.9000 to Rs.12000 when the number of registered candidates increased from 25 to 40. Find the total cost of organizing the party if there are 50 final registrations.	Choose the correct choice from the following options:  A) Rs.11000  B) Rs.12000  C) Rs.13000  D) Rs.14000  E) None

Solution: We know that the expenses of party increases not directly proportional but directly relational.   Assume the fixed component of expense is K rupees and Variable component is M rupees.   Then the total cost is given by   K + 25 x M = 9000 ............(1)   When there are 40 registrations the total cost is   K + 40 x M = 12000 .........(2)   By substracting (1) from (2)   ⇒15M=3000⇒M=200⇒15M=3000⇒M=200   So the variable cost per head is Rs.200   To find the fixed cost we can substitute Rs.200 in either (1) or (2), then K = 4000   If there are 50 registrations then the total cost = 4000 + 50 x 200 = Rs.14000   Answer Rs.14000
Answer: D
As part of a promotion designed to attract visitors, an amusement park gives out 24,600 free tickets per year. Usually, the number of tickets given away each month is constant. Due to an employee error, only 7,000 tickets were given out in the first four months of the year. How many tickets should the amusement park give out in the fifth month so that it will begin the sixth month back on its regular giveaway schedule?
Answers:
A) 2,050 B) 2,079 C) 2,200 D) 3,250 E) 2,460

Solution: 24600/12= 
24600/12 = 2_050
2050   2050*5= 
2050*5 = 10_250
10250   10250-7000= 
10250-7000 = 3_250
3250   Answer 3,250
Answer: D
The mass of 1 cubic meter of a substance is 300 kilograms under certain conditions. What is the volume, in cubic centimeters, of 1 gram of this substance under these conditions? (1 kilogram = 1,000 grams and 1 cubic meter = 1,000,000 cubic centimeters)  Choose the correct choice from the following answers:
A) 1.33 B) 1.25 C) 8.0 D) 12.5 E) 80.0

Solution: Density is mass divided by volume. So density of the given substance will be mass/volume=800kg/1m^3=300 kg/m^3 or 1g/1.33cm^3=0.3 g/cm^3.   Next, ask yourself if 300,000 g is equivalent to 1,000,000 cubic centimeters then 1 g is equivalent to how many cubic centimeters? --> 1 g - 1,000,000/300,000 = 10/3 = 1.33 cubic centimeters.   1.33nswer is 1.33
Answer: A
What will be the vulgar fraction of 0.4	Choices.
A) 3/5
B) 2/5
C) 3/2
D) 3/7
E) 3/8

Solution: Explanation:   0.4 = 40/100 = 2/5   Option 2/5
Answer: B
In how many different number of ways 5 boys and 3 girls can sit on a bench such that girls always sit together. Choose the correct choice: A) A)720 B) B)730 C) C)4230 D) D)4320 E) E)790

Solution: 4320   Option '4320'
Answer: D
A man runs 1 mile at a speed of r mph. If he runs at a speed of r+20 miles per hour, he would run the same distance in 4 minutes less. What is the value of r? Choose the correct choice:
A) 20 mph	B) 8 mph	C) 7 mph	D) 10 mph	E) 5 mph

Solution: Convert minutes to hours: 4 min = 4/60 min = 1/15 hours.   Equation: 1/r = 1/(r+20) + 1/15.   Plug options into the equation. D fits: 1/10 = 1/(10+20) + 1/15.   Answer: 10 mph
Answer: D
The London Racetrack needs to submit its 3 fastest horses to the Kentucky Derby out of 25 horses. However, all of their information was lost and they don't know any of the horse's times. Similarly, they all look identical so they can't remember who's fastest.
They can only race 5 horses at once, so what is the fewest number of races they can conduct to find the 3 fastest horses?
Choose one.
A) 6 B) 7 C) 5 D) 4 E) 8

Solution: 7 races are required.   First you divide the 25 horses into 5 groups of 5. You conduct the 5 races and take all of the fastest horses in those races and have a race with them, giving you the fastest horse. Then you take the remaining 24 horses (excluding the fastest) and remove the 4th and 5th horses in the first set of 5 races (since they definitely have 3 horses faster than them), leaving you with 14 horses. Next you can remove all of the horses that were beat in the preliminary race by the horses that got 4th and 5th in the championship race, leaving you with 8 horses. Finally, you can remove the horses that remain that lost to the 3rd place horse in the final race in the preliminary race and the horse that got 3rd in the preliminary to the horse that got 2nd in the championship race, leaving you with 5 horses.   You can then run a final race where the 1st and 2nd place horses are the 2nd and 3rd fastest. Then you know the 3 fastest horses.
Answer: B
How many positive integer solutions does the equation 8x+2y = 100 have?	Choose the most appropriate option:
A) 50
B) 84
C) 16
D) 35
E) 14

Solution: formula: (constant)/(lcm of two nos)   =100/(8*2)=84   ANSWER:84
Answer: B
At the end of year X, automobile installment credit accounted for 36% of all outstanding consumer installment credit. At that time automobile finance companies extended $75 billion of credit, or 1/2 of the automobile installment credit. How many billion dollars of consumer installment credit was outstanding at that time?  Choices:  A) 412.16  B) 150  C) 400  D) 416.67  E) 420.34

Solution: System of Equations   a = (36/100) c   (1/2) a = 75 --> a = 150   Substitution   150 = (36/100) c   c = (100/36) 150   Calculate 150/36 * 100   The Correct Answer is D   - The correct answer will be slightly smaller than 513. Therefore, the correct answer is 475.
Answer: D
A group of students decided to collect as many paise from each member of group as is the number of members. If the total collection amounts to Rs. 4356, the number of the member is the group is:  Choose the most appropriate option.
A) 57 B) 66 C) 77 D) 87 E) 97

Solution: Money collected = (43.56 x 100) paise = 4356 paise.   Number of members =Square root of 4356 = 66.   Answer: Option 66
Answer: B
If 64(2^x) = 1 then x=  Choose the correct choice
A) –2  B) –1  C) 0  D) -6  E) 5

Solution: 2^x = 1/64   2^x = 1/2^6   2^x= 2^-6   x = -6   -6
Answer: D
What is the equation of a circle of radius 7 units centered at (3, 2)? Choose the correct choice from the following options:
A) x^2 + y^2 - 6x – 4y = 36
B) x^2 + y^2 - 6x + 4y = 23
C) x^2 + y^2 + 6x + 4y = 23
D) x^2 + y^2 - 6x – 4y = - 23
E) x^2 + y^2 + 6x – 4y = 23

Solution: the equation of a circle with center at (a,b) and radius R is (X-a)^2+(Y-b)^2=R^2   => answer = (X-3)^2+(Y-2)^2=7^2   solving,,we get the equation in answer choice x^2 + y^2 - 6x – 4y = 36
Answer: A
On a windy day, out of every 3 sand dunes formed, only 1 remains. Out of 5 blown-out
sand-dunes, 1 has treasure and only 2 out of 7 sand dunes formed have lucky coupons. Find
the probability that the blown-out sand dune will contain both the things. Options:
A) 2/25
B) 4/75
C) 7/75
D) 3/79
E) 4/5

Solution: Probability of sand dune blown out = 2/3   Probability that it has treasure = 1/5   Probability that it has lucky coupon = 2/7   total probability = 2/3 * 1/5 * 2/7 = 3/79   ANSWER:3/79
Answer: D
The perimeter of a triangle is 28 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle? Choices:	A) 12	B) 34	C) 56	D) 76	E) 35

Solution: Area of a triangle = r * s   Where r is the inradius and s is the semi perimeter of the triangle.   Area of triangle = 2.5 * 28/2= 
2.5 * 28/2 = 35
35 cm2   Answer: 35
Answer: E
A motorcyclist goes from Bombay to Pune, a distance of 192 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car? Choose the correct answer:
A) 2:8
B) 1:2
C) 2:5
D) 6:9
E) 6:2

Solution: 1:2   1:2   T = 192/32= 
192/32 = 6
6 h   T= 6 - 3= 
6 - 3 = 3
3   Time Ratio= 6:3 = 2:1   Speed Ratio = 1:2
Answer: B
The side of a rhombus is 26 m and length of one of its diagonals is 20 m. The area of the rhombus is? Choose one: A) 488 B) 429 C) 418 D) 480 E) 410

Solution: 262 – 102 = 242   d1 = 20 d2   = 48   1/2 * 20 * 48= 
1/2 * 20 * 48 = 480
480   Answer: 480
Answer: D
How many litres of pure acid are there in 12 litres of a 40% solution  Choose the most appropriate option
A) 3.6	B) 4.8	C) 3.5	D) 2.3	E) 4.4

Solution: Explanation:Question of this type looks a bit typical, but it is too simple, as below... It will be 12 * 40/100= 
12 * 40/100 = 24/5 = around 4.8
4.8 Answer: Option 4.8
Answer: B
In 2010, Arman’s birthday was on a Thursday. What day of the week was it 69 days after his birthday?
Choose the correct choice from the following:
A) Thursday
B) Wednesday
C) Saturday
D) Sunday
E) Monday

Solution: Day of week after 69 days after Arman's birthday = 7*9 + 6   Saturday as the period will have 9 weeks and 6 days .   The 6 days in the end will be Friday - Saturday - Sunday- Monday-Tuesday and Wednesday   Answer Wednesday
Answer: B
The volume of a sphere with radius r is (4/3)*pi*r^3 and the surface area is 4*pi*r^3. If a sperical balloon has a volume of 2304 pi cubic centimeters, what is hte surface area of the balloon in square centimeters?	Choose the correct choice from the following answers
A) a. 40 B) b. 100 C) c. 400 D) d. 1,800 E) e. 10,000

Solution: The surface area is 4.pi.r^2 (its area remember not volume)   as 4/3.pi.r^3=2304pi   r=12   so area = 4.pi.r^2= 576.pi= 576 x 3.14 = 1800 (approx)   d. 1,800
Answer: D
what is the next term of this series6,10,9...?  Choose the most appropriate option.
A) 9	B) 10	C) 11	D) 12	E) 15

Solution: 3&2=6;    5*2= 
 5*2 = 10
10;    3*3= 
 3*3 = 9
9;    3*5= 
 3*5 = 15
15.   ANSW15R:15
Answer: E
A bullet train 140 m long is running at 60 kmph. In how much time will it pass a platform 160 m long?
Options:
A) 34 Seconds
B) 18 Seconds
C) 41 Seconds
D) 24 Seconds
E) 29 Seconds

Solution: Distance travelled = 140 + 160= 
140 + 160 = 300
300m   Speed= 60 * 5/8 = 50/3m   Time = 300 * 3/50= 
300 * 3/50 = 18
18 Seconds   ANSWER 18 Seconds
Answer: B
A circular garden is surrounded by a fence of negligible width along the boundary. If the length of the fence is 1/6 of th area of the garden. What is the radius of the circular garden?	Choose the correct choice from the following answers.
A) 1
B) 2
C) 4
D) 8
E) 12

Solution: as per the question-- width is negligible   now,   let L be the length of the fence =2pir   L=1/6(pir^2)   pir^2=12pir   r=12   Answer : 12
Answer: E
The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:
Choose the correct choice from the following answers:
A) 200 meters
B) 225 meters
C) 245 meters
D) 250 meters
E) 300 meters

Solution: Given, Length of the train = 130 meters   Speed of the train = 45 km/hr = 45 * 518 m/sec = 252 m/sec   Time = 30 secs   Let the length of the bridge be x meters .   The distance travelled by the train while crossing the bridge will be sum of the length of train and Length of the bridge = (x+130) meters   so , 252 = x+13030   = 30*25 = 2x + 260   = 750 - 260 = 2x   = 490 = 2x   =x = 245 meters. ANSWER 245 meters
Answer: C
Consider a sequence of numbers given by the expression 7 + (s - 1) * 5, where n runs from 1 to 80.What is the sum of this series ?
Choose the correct choice from the following choices.
A) 409	B) 1636	C) 16360	D) 16000	E) 15360

Solution: terms in this sequence are 7,12,17----402   now since this is an a.p. with a common difference of 5. therefore its sum can be given as   s(a+l)/2----------------1)   s= total no. of terms =80   a= first term=7   l= last term=402   subsituting values in the expression 1 we have   80(7+402)/2   = 40(409)   =16360=16360
Answer: C
A father tells his son, "I was of your present age when you were born". If the father is 36 now, how old was the boy five years back ?	Pick.
A) 13
B) 15
C) 17
D) 20
E) 25

Solution: Explanation:   Let the father's age be x and the son's age be y.   Then, x - y = y or x = 2y,   Now, x = 36. So, 2y = 36 or y = 18.   Therefore Son's present age = 18 years.   So, son's age 5 years ago = 13 years.   13nswer: Option 13
Answer: A
The ratio of buses to cars on River Road is 1 to 10. If there are 90 fewer buses than cars on River Road, how many cars are on River Road?
Choose the correct choice:
A) 50
B) 40
C) 100
D) 30
E) 20

Solution: B/C=1/10   C-B=90.........> B=C-90   (C-90)/C=1/10   Testing answers. 100learly Eliminate ABDE   Put 100=100.........> (100-90)/100=10/100=1/10   Answer: 100
Answer: C
A man borrows Rs. 20,000 at 10% compound interest. At the end of every year he pays Rs. 2000 as part repayment. How much does he still owe after three such installments? Choose the correct choice from the following choices
A) Rs.24000 B) Rs.20000 C) Rs.15000 D) Rs.10000 E) Rs.13000

Solution: Explanation:   Amount after 3 years on Rs.20000 at 10% compound interest   = 20000(1 + 10/100)3 = 20000(11/10)3 = 26620--- (1)   He paid Rs.2000 after 1st year.   Hence Rs.2000 and its compound interest for 2 years (i.e., amount on 2000 after 2 year) need to be reduced from (1)   Similarly, he paid Rs.2000 after 2nd year.   Hence Rs.2000 and and its compound interest for 1 year   (i.e., amount on 2000 after 1 year) need to be reduced from (1)   Similarly, he paid Rs.2000 after 3rd year.   Hence this Rs.2000 also need to be reduced from (1)   Hence, remaining amount   = 26620 − 2000 (1+10/100)2 − 2000(1+10/100)1 − 2000   = 26620 − 2000(11/10)2 − 2000(11/10) − 2000   = 26620 −2420 − 2200 − 2000 = 20000   i.e, he still owes Rs.20000 even after three installments   Answer: Option Rs.20000
Answer: B
If A lends Rs.3500 to B at 10% per annum and B lends the same sum to C at 11.5% per annum then the gain of B in a period of 3 years is?
Choose the correct choice
A) 157.20	B) 157.29	C) 157.50	D) 157.30	E) 157.23

Solution: (3500*1.5*3)/100= 
(3500*1.5*3)/100 = 157.5
> 157.50   Answer: 157.50
Answer: C
How many numbers with 4 different digits can be formed using only the odd digits?  Answers:
A) 10
B) 20
C) 40
D) 60
E) 120

Solution: Odd digits are 1, 3, 5, 7, 9.   We want 3 different digits.   First digit can be chosen in 5 ways.   Second digit can be chosen in 4 ways.   Third digit can be chosen in 3 ways.   Fourth digit can be chosen in 2 ways.   Total ways = 5*4*3*2= 
5*4*3*2 = 120
120   Hence option (120).
Answer: E
A and B are two partially filled buckets of water. If 8 liters are transferred from A to B, then A would contain one-third of the amount of water in B. Alternatively, if 8 liters are transferred from B to A, B would contain one-half of the amount of water in A. Bucket A contains how many liters of water?  Choose the correct choice from the following choices.
A) 88/5	B) 13	C) 17	D) 21	E) 23

Solution: Let Bucket 88/5 be 88/5 and Bucket B be B   Scenario 1   88/5-8 = 1/3 (B+8) ----> 388/5-24 =B+8   Scenario 2   B-8 = 1/2 (88/5+8) -----> 2B-16 = 88/5+8   From Scenario 1, B = 388/5-32   Substitute B with this information in Stmt 2   2 (388/5-32) -16 = 88/5+8 ------> 688/5 -64-16 = 88/5+8 ------> 688/5- 88/5 = 80+8 ---> 588/5= 88   88/5= 88/5, 88/5nswer choice 88/5
Answer: A
On 8th Feb, 1995 it was Wednesday. The day of the week on 8th Feb, 1994 was Choose the correct choice
A) wednesday	B) Tuesday	C) Thursday	D) Friday	E) None

Solution: 1994 being an ordinary year, it has 1 odd day. So, the day on 8th Feb, 1995 is one day beyond the day on 8th Feb, 1994. But, 8th Feb, 1995 was Wednesday. 8th Feb, 1994 was Tuesday.   Answer Tuesday
Answer: B
In how many different ways can the letters of the word 'DETAIL' be arranged such that the consonants must occupy only the odd positions?  Select the correct option:  A) None of these  B) 64  C) 120  D) 36  E) 360

Solution: OEOEOE   3 consonants DTL can be arranged on odd places in 3!=6 ways. Similarly 3 vowels can be arranged on even places in 3!=6 ways.   Total = 6*6= 
6*6 = 36
36.   Answer: 36.
Answer: D
A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2490 ?	Select the correct option: A) Rs. 832 B) Rs. 830 C) Rs. 822 D) Rs. 812 E) Rs. 810

Solution: Let the total amount in the partnership be 'x'.   Then A's share = x/3   B's share = x/4   C's share = x/5   D's share = x - (x/3 + x/4 +x/5) = 13x/60   A : B : C : D = x/3 : x/4 : x/5 : 13x/60 = 20 : 15 : 12 : 13   A's share in the profit of Rs. 2490 = 20 (2490/60) = Rs. 830.   Answer: Rs. 830
Answer: B
If y/(x - z) = (y + x)/z = x/y then find x : y : z ? Choose the correct choice:
A) 1 : 2 : 3 B) 3 : 2 : 1 C) 4 : 2 : 3 D) 2 : 4 : 7 E) none of these

Solution: Given, y/(x - z) = (y + x)/z   yz = xy + x2- yz - xz .. (1)   Also (x/y) = (y/(x - z)) => x2 - xz = y2 .. (2)   Using (1) and (2), we get yz = xy - yz + y2   2yz = xy + y2   2z = x + y   Only option (c) satisfies the equation   ANSWER:4 : 2 : 3
Answer: C
Determine the value of (27/31*31/27)*3	Choose the correct choice.
A) 0 B) 1 C) 2 D) 3 E) none

Solution: Solution:   Both fractions should be reduced before performing arithmetic operations. We get (27/31*31/27)3=1*3= 
1*3 = 3
3   Answer 3
Answer: D
A bowl of fruit contains 14 apples and 25 oranges. How many oranges must be removed so that 70% of the pieces of fruit in the bowl will be apples?  Pick
A) 3	B) 6	C) 14	D) 17	E) 19

Solution: Number of apples = 14   number of oranges = 25   let number of oranges that must be removed so that 70% of pieces of fruit in bowl will be apples = x   Total number of fruits after x oranges are removed = 14+(25-x) = 39-x   14/(39-x) = 7/10   =>20 = 39-x   =>x= 19   Answer 19
Answer: E
What is the area of square field whose side of length 15 m?	Choose the correct choice:  A) 225 sq m  B) 186 sq m  C) 586 sq m  D) 287 sq m  E) 296 sq m

Solution: 15 * 15= 
15 * 15 = 225
225 sq m   225 sq mnswer: 225 sq m
Answer: A
Rs.8000 become Rs.9261 in a certain interval of time at the rate of 5% per annum of C.I. Find the time?
Choose one
A) 2	B) 9	C) 8	D) 3	E) 5

Solution: n:   9261 = 8000(21/20)N   (21/20)3 = (21/20)N => N = 3   Answer:3
Answer: D
Raju age after 14 years will be 3 years more than 5 times his age 5 years back, What is the present age of Raju  Choose the correct choice:	A) 9 years	B) 8 years	C) 5 years	D) 6 years	E) 7 years

Solution: Explanation:   Clearly,   x+14 = 5(x-5)+3   <=> 4x = 36 => x = 9   Option 9 years
Answer: A
Jane covered a distance of 340 miles between city A and city taking a total of 5 hours. If part of the distance was covered at 60 miles per hour speed and the balance at 80 miles per hour speed, how many hours did she travel at 60 miles per hour?	Choose the correct choice from the following options: A) 2 Hours B) 3 Hours C) 4 Hours D) 5 Hours E) 6 Hours

Solution: X is the hours which Jane is travelled with 60 miles per hour. then 5-X is the hours which Jane travelled with 80 miles per hour. Total Distance becomes   (X*60)+(5-X)*80 = 340. Solving this X will be 3 Hours   ANSWER:3 Hours
Answer: B
If the length and breadth of a room are increased by y feet each, the perimeter increases by 16 feet. Find y Answers
A) 8  B) 2  C) 6  D) 4  E) 3

Solution: 2(l+b)=x;   2(l+y+b+y)=x+16;   2(l+b)+4y=x+16;   x+4y=x+16;   y=4   ANSWER:4
Answer: D
The difference between a number and its three fifth is 50. What is the number?	Choose the correct choice from the following answers
A) 75  B) 100  C) 125  D) 180  E) None

Solution: Solution   Let the number be x.   Then, x - 3 / 5x = 50   ‹=› 2 / 5 x = 50   ‹=›x = (50 x 5 / 2)   ‹=›125.   Answer 125
Answer: C
Out of 4 consonants and 2 vowels, how many words of 3 consonants and 1 vowel can be formed?  Choose the correct option:
A) 192
B) 950
C) 252
D) 2150
E) None of these

Solution: Solution   Number of ways of selecting (3 consonants out of 4) and (1 vowel out of 2)   4c3 x 2c1= (4/1)x(2/1) =8   Number of group,each having 3 consonants and 1 vowel = 8 .   Each group contains 4 letter.   Number of ways of arranging 4 letters among themselves   = 4 ! = ( 4 × 3 × 2 × 1) = 24 .   So, Required number of words = (24 × 8) = 192 .192nswer 192
Answer: A
In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?
Choose the correct option.
A) 30% B) 70% C) 100% D) 250% E) none

Solution: Let C.P.= Rs. 100. Then, Profit = Rs. 320, S.P. = Rs. 420.   New C.P. = 125% of Rs. 100 = Rs. 125   New S.P. = Rs. 420.   Profit = Rs. (420 - 125) = Rs. 295   Required percentage = (295/420 * 100)% = 1475/21 % = 70% (approximately)   Answer = 70%
Answer: B
A student has to obtain 45% of the total marks to pass. He got 150 marks and failed by 30 marks. The maximum marks are?
Select the correct option
A) 300 B) 250 C) 280 D) 320 E) 400

Solution: Let the maximum marks be x   Then, 45% of x = 150+30   45x/100 = 180   45x= 180*100= 
180*100 = 18_000
18000   x= 400   Answer is 400
Answer: E
If 9 is a factor of 2p, then which of the following may not be an integer?  Choose the correct option.
A) 6p/54 + 2p/3	B) (4p-18)/9	C) (2p+27)/9	D) (81-4p^2)/81	E) (2p-3)/3

Solution: I got the right answer A after plugging in 18 for p.   While going through Kaplan's explanation, I couldn't understand the part about choice A.   "6p/54 + 2p/3 = 3/6 * 2p/9 + 2p/3.   Since 9 is a factor of 2p, 3 is also factor of 2p. So 2p/3 is an integer, as is 2p/9. But 3/6 = 1/2, so if 2p/9 is not even, the expression 3/6 * 2p/9 will not be even."   But, isn't 2p/9 always even? 9 is a factor of 2p, which means that we could have 2(9), 2(2)(9), 2(3)(9), and so forth. The 9 in the denominator cancels out the 9 in the numerator. So we are left with 2 * something. So 2p/9 is even.6p/54 + 2p/3
Answer: A
How many times do the hands of a clock coincide in a day?	Choose the correct option:	A) 21	B) 22	C) 24	D) 25	E) 26

Solution: Explanation:   The hands of a clock coincide 11 times in every 12 hours (Since between 11 and 1, they coincide only once, i.e., at 12 o'clock). For 24 hours total 22 times   Answer is 22
Answer: B