MU-NLPC/Calc-aqua_rat huggingface dataset:
Gali builds a tower using only red, green, and blue toy bricks in a ratio of 4:3:1. She then removes 1/2 of the green bricks and adds 1/3 more blue bricks, reducing the size of the tower by 14 bricks. How many red bricks will she need to add in order to double the total number of bricks used to build the original tower?
Choose one:
A) 82  B) 96  C) 110  D) 120  E) 192

Solution: Gali want to double the original amount of blocks, not just the red blocks   the original tower had 96 bricks, the new tower has 82 bricks and the question is asking how many extra red blocks are needed to build a tower of 192 bricks (double the original: 96*2).   192-82= 
192-82 = 110
110   so 110 bricks need to be added to the new 82 brick tower to double the original.   They worded the question ashow many red bricks need to be addedbut really it could be any colour just that 110 more bricks need to be there to equal 192=110
Answer: C
How much is 80% of 40 is greater than 4/5 of 25?	Select the correct option
A) 12  B) 27  C) 18  D) 12  E) 81

Solution: (80/100) * 40 – (4/5) * 25   32 - 20= 
32 - 20 = 12
12   Answer:12
Answer: D
The price of a integrated declines by 67 percent every 6 months. At this rate, approximately how many years will it take for the price of an $81 integrated chip to reach $1?
81- 67% * 81 = 27 approx
27 - 0.67*27 = 9 approx
9- 0.67*9 = 3 approx
3-0.67*3= $1 approx	Choices
A) 1.5 years
B) 2 years
C) 3 years
D) 13 years
E) 13.5 years

Solution: not sure whether you like this:   81 - (81 x 67%)/3 = 81 - (81 x 2) / 3 = 27 = 81 / 31 = 81 / (3x3x3x3) = 81 / 3^4   so the time = 4 x 6 months = 24 months or 2 years. answer is 2 years
Answer: B
The probability that a number selected at random from the first 50 natural numbers is a composite number is
Choose one:	A) 17/26	B) 17/25	C) 17/20	D) 17/22	E) 17/21

Solution: The number of exhaustive events = ⁵⁰C₁ = 50.   We have 15 primes from 1 to 50.   Number of favourable cases are 34.   Required probability = 34/50 = 17/25.   nswer: 17/25
Answer: B
In a class of students, 1/2 of the number of girls is equal to 1/6 of the total number of students. What is the ratio of boys to girls in the class?	Choose the correct answer
A) 1/2  B) 2/3  C) 2/1  D) 3/2  E) 4/3

Solution: (1/2)G=(1/6)(B+G)   6G=2B+2G   4G=2B   B/G=2/1.   The answer is 2/1.
Answer: C
The cash difference between the selling prices of an article at a profit of 4% and 2% is Rs. 3. The ratio of the two selling prices is?  Select the correct option:
A) 52:51
B) 52:53
C) 52:50
D) 22:56
E) 52:51

Solution: Let C.P. of the article be Rs. x.   Then, required ratio = 104% of x / 102% of x   = 104/102 = 52/51 = 52:51   52:51nswer: 52:51
Answer: A
How many 3 digit numbers can be formed which are divisible by 3 using the numerals 0, 1, 2, 3, 4, 5 (WITH REPETITION)
Choose the correct option:  A) 216  B) 133  C) 240  D) 600  E) 305

Solution: Divisibilty rule for 3: Sum of all digits is a multiple of 3   Selections for the above to be valid   1,2,3,4,5   No of possible ways = 5*5*5= 
5*5*5 = 125
125   0,1,2   No of possible ways= 2*2*1= 
2*2*1 = 4
4   0,4,5   No of possible ways= 2*2*1= 
2*2*1 = 4
4   Total= 8+125= 
8+125 = 133
133   Option   133
Answer: B
The length of the bridge, which a train 140 meters long and travelling at 45 km/hr can cross in 30 seconds, is:  Pick.
A) 230
B) 244
C) 245
D) 238
E) 235

Solution: Speed = (45 * 5/18) m/sec = (25/2) m/sec. Time = 30 sec. Let the length of bridge be x meters. Then, (140 + X)/30 = 25/2 ==> 2(140 + X) = 750 ==> X = 235 m.   Answer: Option 235
Answer: E
Last year, the price of a vacation package was P. At the beginning of this year, the price went up 20%. Lucas used a travel voucher to purchase the vacation package at 30% off this year’s price. In terms of P, how much did Lucas pay?  Pick one.
A) P + 10
B) 1.1*P
C) 1.12*P
D) 0.80*P
E) 0.84*P

Solution: Last year price = P;   This year price = 1.2P;   Lucas used a travel voucher to purchase the vacation package at 30% off this year’s price, thus he paid   (1 - 0.3)*1.2= 
  (1 - 0.3)*1.2 = 0.84
0.84P.   Answer: 0.84*P.
Answer: E
Three taps A, B and C can fill a tank in 12, 15 and 20 hours respectively. If A is open all the time and B and C are open for one hour each alternately, the tank will be full is?  Choose the correct choice from the following options.
A) 6 hrs	B) 6 2/3 hrs	C) 7 hrs	D) 7 1/2 hrs	E) 5 hrs

Solution: (A + B)'s 1 hour work = (1/12 + 1/15) = 3/20   (A + C)'s 1 hour work = (1/12 + 1/20) = 2/15   Part filled in 2 hrs = (3/20 + 2/15) = 17/60   Part filled in 6 hrs = 3 * 17/60 = 17/20   Remaining part = 1 - 17/20 = 3/20   Now, it is the turn of A and B and 3/20 part is filled by A and B in 1 hour.   Total time taken to fill the tank = (6 + 1)= 
(6 + 1) = 7
7 hrs.   ANSWER:7 hrs
Answer: C
The present ages of three persons in proportions 4 : 1 : 5. Eight years ago, the sum of their ages was 56. Find their present ages (in years).
Choices:
A) 8, 20, 28 B) 16, 28, 36 C) 16, 28, 35 D) 16, 28, 34 E) 32, 8, 40

Solution: Let their present ages be 4x, 1x and 5x years respectively.   Then, (4x - 8) + (1x - 8) + (5x - 8) = 56   10x = 80   x = 8.   Their present ages are 4x = 32 years, 1x = 8 years and 5x = 40 years respectively.   Answer:32, 8, 40
Answer: E
Find the average of first 5 multiples of 5?	Choose the correct choice from the following choices.
A) 10
B) 15
C) 12.5
D) 13
E) 21

Solution: average = (5+10+15+20+25)/5= 
(5+10+15+20+25)/5 = 15
15   Answer is 15
Answer: B
A class contains five juniors and five seniors. If one member of the class is assigned at random to present a paper on a certain subject, and another member of the class is randomly assigned to assist him, what is the probability W that both will be juniors? Choose the correct choice from the following answers
A) 1/10
B) 1/5
C) 2/9
D) 2/5
E) 1/2

Solution: I think you're right. The other way to do it (but the long way) is to figure out the probability that it is not two Juniors.   2 seniors = P(Senior) * P(Senior) = 2/9   1 Senior and 1 Junior = (1/2) *(5/9)*2 = 5/9   Probability that it is not two Juniors is 5/9+2/9 = 7/9 so the probability W that it is two juniors is 1- (7/9) = 2/9.2/9
Answer: C
A fruit salad mixture consists of apples, peaches, and grapes. There are 3 times as many pounds of apples as grapes and 2.5 times as many pounds of peaches as grapes. If a mixture that has an average (arithmetic mean) of 26 pounds per fruit, how many more pounds of apples than grapes does the mixture have?	Select: A) 24 B) 11 C) 9 D) 6 E) 5

Solution: 24+P+G= 26*3   24=3G   P=2.5G   3G+2.5G+G= 26*3   G= 26*3/6.5= 
26*3/6.5 = 12
12   24= 12*3= 
12*3 = 36
36   Difference= 36-12= 
36-12 = 24
24   '24' is the answer
Answer: A
If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be: Pick:
A) 4 days  B) 5 days  C) 6 days  D) 8 days  E) 2 days

Solution: Let 1 man's 1 day's work = x and 1 boy's 1 day's work = y.   Then, 6x + 8y =1/10	and 26x + 48y =1/2   Solving these two equations, we get : x =1/100 and y =1/200   (15 men + 20 boy)'s 1 day's work =(15/100+20/200)	=1/4	.   15 men and 20 boys can do the work in 4 days.   4 daysNSWER:4 days
Answer: A
The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero? Select the correct option:
A) 87  B) 15  C) 17  D) 19  E) 16

Solution: Average of 20 numbers = 0   Sum of 20 numbers = (0 * 20)= 
(0 * 20) = 0
0   It is quite possible that 19 of these numbers may be positive and if their sum is a, then 20th number is (-a).   Answer:19
Answer: D
By selling 50 meters of cloth. I gain the selling price of 15 meters. Find the gain percent? Choose the correct choice
A) 42 7/7%	B) 42 5/8%	C) 42 6/4%	D) 42 6/8%	E) 42 1/7%

Solution: SP = CP + g   50 SP = 50 CP + 15 SP   35 SP = 50 CP   35 --- 15 CP gain   100 --- ? => 42 6/7%   Answer: 42 6/8%
Answer: D
In boring a well 50 m deep, the cost is
Rs.4/– for the first meter. The cost of each successive meter
increases by Rs.2/–. What is the cost of boring the entire well?  Choices:
A) 1650  B) 2650  C) 3650  D) 4650  E) 2850

Solution: For successive meters the cost of boring will be 4, 6, 8, 10, ......., which forms an arithmetic series with terms n=50, first term a=4 & difference d=2   So Sum=(n/2)[2a+(n-1)d]= Total cost of boring   =(50/2)[2*4+(50-1)*2]=25(8+98)   = 2650   ANSWER:2650
Answer: B
In a panel of 10 light bulbs, the odds of any light bulb to burn out are 0.07 at any given 10 minutes. Should a light bulb burn out, the whole panel would instantly turn off. What are the odds that the panel would be turned off within the first 10 minutes after it was switched on? Pick.
A) 1-0.03^10	B) 1-0.93^10	C) (1-0.93)^10	D) 0.06	E) 1-10*0.07

Solution: ans B.   Prob that light will not turned off = 0.93^10. Hence prob (turn off) = 1 - prob (not turn off).
Answer: B
A Train requires 10 seconds to pass a pole while it requires 40 seconds to cross a stationary train which is 300 mtrs long. Find the speed of the train. Choose the correct choice from the following answers
A) 36kmph
B) 42kmph
C) 48kmph
D) 52kmph
E) 64kmph

Solution: In 10s the train crosses the pole and in 40 sec the train crosses one more stationary train   In 30 sec the train travels a distance of 300 mtrs   Speed = 300/30= 
300/30 = 10
10 m/s= 10 * 18/5= 
10 * 18/5 = 36
36 kmph   36kmphnswer: 36kmph
Answer: A
The ratio of the number of females to males at a party was 1:2 but when 4 females and 4 males left, the ratio became 1:3. How many people were at the party originally?	Choose one.
A) 20  B) 22  C) 24  D) 26  E) 28

Solution: The total number of people are x females + 2x males.   3*(x-4) = 2x - 4   x = 8   There were 3x = 24 people at the party originally.   The answer is 24.
Answer: C
1/3 +1/2 - 5/6 + 1/5 + 1/4 - 9/20 -2/15 =  Choose the most appropriate option:
A) 0
B) 2/15
C) 2/5
D) 9/20
E) 5/6

Solution: We need to determine the result of 1/3 + 1/2 - 5/6 + 1/5 + 1/4 - 9/20   Let’s add the given fractions in two groups. In the group of the first three fractions, notice that1/3 and 1/2 share a common denominator of 6 with 5/6.   1/2 + 1/3 = 3/6 + 2/6 = 5/6   Thus, 5/6 – 5/6 = 0   Looking at the 2nd group of the fractions (1/5, 1/4, and 9/20), notice that1/5 and 1/4 share a common denominator of 20 with 9/20.   1/5 + 1/4 = 4/20 + 5/20 = 9/20   Thus, 9/20 – 9/20 = 0.   Thus, the result of 1/3 + 1/2 – 5/6 + 1/5 + 1/4 – 9/20 is 2/15.   Answer: 2/15
Answer: B
A certain essay consists of 14 paragraphs. Each paragraph contains at least 105 words but not more than 110 words. Which of the following could be the total number of words in the essay?	Choices
A) 1440
B) 1520
C) 1640
D) 1740
E) 1840

Solution: lets consider minimum no of words ... 14 * 105 = 1470   Lets consider maximum no of words .... 14*110= 1540   answer should be one of these two values or should lie between these two values ...   only 1 option 1520 - 1520
Answer: B
The sum of two numbers is 16. The difference is 8. What are the two numbers?  Choose the correct choice from the following answers.
A) 10-6	B) 8-8	C) 12-4	D) 11-5	E) 13-3

Solution: 12+4= 
12+4 = 16
16   12 - 4= 
12 - 4 = 8
8   The Answer is 12-4
Answer: C
The speed of a boat in upstream is 80 kmph and the speed of the boat downstream is 160 kmph. Find the speed of the boat in still water and the speed of the stream?  Choose the correct choice from the following
A) 10	B) 99	C) 40	D) 55	E) 22

Solution: Speed of the boat in still water = (80+160)/2 = 12 kmph. Speed of the stream   = (160-80)/2= 
(160-80)/2 = 40
40 kmph.   Answer: 40
Answer: C
If y is the smallest positive integer such that 1260 multiplied by y is the square of an integer, then y must be Choices:
A) 25  B) 35  C) 60  D) 75  E) 140

Solution: 1260 = 2^2*3^2*5*7= 
5*7 = 35
35.   The answer is 35.
Answer: B
The speed of a boat in still water is 60kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?	Pick:
A) 80,30 kmph
B) 80,20 kmph
C) 80,10 kmph
D) 80,40 kmph
E) 80,90 kmph

Solution: Speed downstream = 60 + 20= 
60 + 20 = 80
80 kmph   Speed upstream= 60 - 20= 
60 - 20 = 40
40 kmph   Answer:80,40 kmph
Answer: D
A invested $300 in a business after 6 months B invested $200 in the business. End of the year if they got $100 as profit. Find B's shares? Choose the correct option.
A) $100 B) $75 C) $25 D) $120 E) $50

Solution: A:B =300*12:200*6   A:B = 1:1   B's share = 100*1/4= 
100*1/4 = 25
$25   Answer is $25
Answer: C
A third of Arunâ€™s marks in mathematics exceed a half of his marks in English by 20.If he got 360 marks in two subjects together how many marks did he got in English? Options.
A) 120,60	B) 240,120	C) 280,90	D) 220,140	E) None of them

Solution: Let Arunâ€™s marks in mathematics and English be x and y   Then (1/3)x-(1/2)y=20   2x-3y=120â€¦â€¦>(1)   x+y=360â€¦â€¦.>(2)   solving (1) and (2)   x=240   and y=120   Answer is 240,120.
Answer: B
If the unit digit in the product (459x46x28*x484) is 2, the digit in place of * is
Select the correct option.
A) 3 B) 5 C) 7 D) 4 E) 8

Solution: (9x6x4) = 216, in order to obtain 2 at the unit place, we must multiply 216 by 2 or 7   Hence, of the given number   We have 7   ANSWER 7 7
Answer: C
A and B are two stations 390 km apart. A train starts from A at 10 a.m. and travels towards B at 65 kmph. Another train starts from B at 11 a.m. and travels towards A at 35 kmph. At what time do they meet? Choose the correct option.
A) 2.15 pm	B) 1.15 pm	C) 4.15 pm	D) 3.15 pm	E) 12.15 pm

Solution: Suppose they meet x hours after 10 a.m.   Then, (Distance moved by first in x hrs) + [Distance moved by second in (x-1) hrs]=390.   65x + 35(x-1) = 390 => 100x = 425 => x =	17/4   So, they meet 4 hrs.15 min. after 10 a.m i.e., at 2.15 p.m.   2.15 pmNSWER 2.15 pm
Answer: A
A sum of money at simple interest amounts to Rs. 800 in 3 years and to Rs. 850 in 4 years. The sum is:	Choose the correct choice:
A) Rs. 670
B) Rs. 690
C) Rs. 600
D) Rs. 625
E) Rs. 654

Solution: Explanation:   S.I. for 1 year = Rs. (850 - 800) = Rs. 50.   S.I. for 3 years = Rs.(50 x 3) = Rs. 150.   Principal = Rs. (800 - 150) = Rs. 600.   Answer: Option Rs. 600
Answer: C
The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 5 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each?  Select the correct option.
A) 2277 B) 2977 C) 2677 D) 4530 E) 1971

Solution: Area of the four walls = 2h(l + b)   Since there are doors and windows, area of the walls = 2 * 12 (15 + 25) - (6 * 3) - 3(4 * 3) = 906 sq.ft.   Total cost = 906 * 5 = Rs. 4530   Answer: 4530
Answer: D
A present value of a machine is $1200. Its value depletion rate is 10% per annum then find the machine value after 2 years? Choose the correct answer:  A) $972  B) $810  C) $915  D) $715  E) $795

Solution: P= $1200   R = 10%   T = 2 years   Machine value after 2 years = P[(1-R/100)^T]   =1200*9/10 * 9/10= 
1200*9/10 * 9/10 = 972
$972   $972nswer is $972
Answer: A
Kiran travels from A to B by car and returns from B to A by cycle in 6 hours. If he travels both ways by car he saves 3 hours. What is the time taken to cover both ways by cycle? Choose the correct option
A) 18 hours B) 8 hours C) 10 hours D) 21 hours E) 12 hours

Solution: Let the time taken to cover from A to B in car and cycle be x hours and y hours respectively.   x + y = 6 --- (1) ; 2x = 4 --- (2)   solving both the equations, we get y = 4   So, time taken to cover both ways by cycle = 2y hours = 8 hours.   ANSWER:8 hours
Answer: B
Half a number plus 7 is 11.What is the number?  Choose the correct answer.
A) 8  B) 9  C) 10  D) 11  E) 12

Solution: Let x be the number. 8lways replace "is" with an equal sign   (1/2)x + 7 = 11   (1/2)x = 11 - 7   (1/2)x = 4   x = 8   correct answer is 8
Answer: A
A boat goes 100 km downstream in 10 hours, and 30 m upstream in 15 hours. The speed of the stream is?	Choose the correct choice from the following choices:
A) 22 1/7  B) 22 1/4  C) 22 1/2  D) 4  E) 22 1/3

Solution: 100 --- 10 4S = 10   ? ---- 1   30 ---- 15 US = 2   ? ----- 1 S = (10 - 2)/2= 
(10 - 2)/2 = 4
4 kmp Answer: 4
Answer: D
The size of a flat-screen tablet is given as the length of the screen’s diagonal. How many square inches greater is the screen of a square 8-inch flat-screen tablet than a square 7 -inch flat-screen tablet? Choose the correct choice from the following answers:
A) 7.6
B) 7.3
C) 7.2
D) 7.5
E) 8.0

Solution: If we take a square with side length x and draw a diagonal, we get two isosceles right triangles.   If we focus on one such right triangle, we see that the legs have length x.   square 8-inch flat-screen television   The diagonal (hypotenuse) = 8   So, we can apply the Pythagorean Theorem to get x² + x² = 8²   Simplify: 2x² = 8²   7.5ivide both sides by 2 to get: x² = 8²/2   Since the area of the square = x², we can see that the area of this square is 8²/2   square 7-inch flat-screen television   The diagonal (hypotenuse) = 7   So, we can apply the Pythagorean Theorem to get x² + x² = 7²   Simplify: 2x² = 7²   7.5ivide both sides by 2 to get: x² = 7²/2   Since the area of the square = x², we can see that the area of this square is 7²/2   7.5IFFERENCE IN AREAS =8²/2-7²/2   = (8²- 7²)/2 = (64-49)/2 =15/2= 
15/2 = 15/2 = around 7.5
7.5   7.5
Answer: D
Richard has to paint a mural with seven horizontal stripes. He only has enough paint for four brown stripes, four green stripes, four red stripes, four blue stripes, four white stripes, four black stripes, and four yellow stripes. If his patron wants at most two different colors in the mural, how many different ways can he paint the wall? Choose one:
A) 120
B) 350
C) 1470
D) 2,520
E) 5,040

Solution: Number of ways to choose 2 colors among 7 - 7c2   Number of ways that the chosen colors can be painted for 7 horizontal stripes - 2 (either (4,3) or (3,4))   Now the order,   the number of ways in which a particular color among the 2 chosen colors can be painted for 4 stripes is - 7c4   [Note: We don't need to calculate the ways for the remaining 3 stripes as they are obvious and already counted under this]   Total number of combinations - 7c2 * 2* 7c4 = 1470   1470
Answer: C
A completes 80% of a work in 20 days. Then B also joins and A and B together finish the remaining
work in 3 days. How long does it need for B if he alone completes the work?
Select the correct option.
A) 3512  B) 3612  C) 3712  D) 3812  E) None of these

Solution: Explanation:   Work done by A in 20 days = 80/100 = 8/10 = 4/5   Work done by A in 1 day = (4/5) / 20 = 4/100 = 1/25 --- (1)   Work done by A and B in 3 days = 20/100 = 1/5 (Because remaining 20% is done in 3 days by A and B)   Work done by A and B in 1 day = 1/15 ---(2)   Work done by B in 1 day = 1/15 � 1/25 = 2/75   => B can complete the work in 75/2 days = 37 (1/2) days   Answer: 3712
Answer: C
Three cottage of the same type were advertised to be let in a area. Three men made separate applications for a cottage. What is the probability that each of them applied for the same cottage. Choose the correct choice from the following answers
A) 1/7	B) 2/9	C) 1/9	D) 4/9	E) 2/27

Solution: Since each of the cottage has same probability of getting selected so for each men probability of selecting a cottage out of 3 cottages 1/3   Let us consider case where all 3 men choose cottage no 1   So for First men it will be 1/3,second men 1/3 and third men also 1/3   So probability of selecting cottage no 1 is 1/3*1/3*1/3= 1/27   And since there are 3 such cottage so probability that each men select the same cottage is 3*1/27 or 1/9   Ans is 1/9
Answer: C
Lavanya can read a book in L minutes. What part of the book can he read in 10 minutes?(L>10)	Choose the most appropriate option.
A) (k - 8)/k	B) 10/L	C) 8 + k	D) k-8	E) 8/k

Solution: Option B   Explanation:   Part of the book he can read in 1 minute = 1/L   Part of the book he can read in 10 minutes =10/L.   Answer: 10/L
Answer: B
A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?  Choices
A) 227  B) 266  C) 230  D) 288  E) 271

Solution: Speed = [300 / 18] m/sec = 50/3 m/sec.   Let the length of the platform be x meters.   Then, x + 300 / 39 = 50/3   3(x + 300) = 1950 è x = 350m.   Answer: 230
Answer: C
Jackie, Mark, Dave line up at a ticket window. In how many ways can they arrange themselves so that Dave is third in line from the window?	Choose the correct choice from the following answers:
A) a 24
B) b 12
C) c 9
D) d 6
E) e 2

Solution: E   Dave's position is fixed. Now we need to arrange all others around Dave.   There are 2x1= 2 ways to arrange 2 people.
Answer: D
A thief is spotted by a policeman from a distance of 150 meters. When the policeman starts the chase, the thief also starts running. If the speed of the thief be 8km/hr and that of the policeman 10 km/hr, how far the thief will have run before he is overtaken?  Options:
A) 350m	B) 200m	C) 400m	D) 600m	E) None of them

Solution: Relative speed of the policeman = (10-8) km/hr =2 km/hr.   Time taken by police man to cover   (150m/1000) x 1/2 hr = 3/40 hr.   In 3/40 hrs, the thief covers a distance of 8 x 3/40 km = 3/5 km = 600 m   Answer is 600m
Answer: D
A library has an average of 510 visitors on Sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is  Answers.
A) 285	B) 337	C) 878	D) 227	E) 291

Solution: Explanation:   Since the month begins with a Sunday, so there will be five Sundays in the month,   Required average = (510 * 5 + 240 * 25) / 30 = 8550/30= 
8550/30 = 285
285.   285nswer: 285
Answer: A
A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions mad by the larger wheel is:
Choose the correct answer:
A) 4  B) 9  C) 12  D) 49  E) 40

Solution: Explanation: Let the required number of revolutions made by larger wheel be x.   Then, More cogs, Less revolutions (Indirect Proportion)   14 : 6 :: 21 : x <-> 14 x x = 6 x 21   x = (6 x 21)/14   x = 9   Answer 9
Answer: B
The unit digit in the product 1256*6785*4587*9785 is? Answers:
A) 0
B) 1
C) 2
D) 3
E) 4

Solution: Unit digit in the given product = unit digit in 6*5*7*5 = 0   0nswer is 0
Answer: A
15 people entered a theater before Sujit. 7 people entered the theater between Sujit and Suraj and 20 people entered the theater after Suraj. If Suraj entered the theater before Sujit then how many people are there in the theater? Select:
A) 28	B) 36	C) 44	D) 40	E) Cannot be determined

Solution: Explanation:   If Suraj entered before Sujit, then the number of people in the theater will be 28.   28NSWER IS 28
Answer: A
A man has Rs. 240 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?	Choose the correct answer.
A) 90
B) 70
C) 45
D) 80
E) 60

Solution: Let number of notes of each denomination be x.   Then x + 5x + 10x = 240   16x = 240   x = 15.   Hence, total number of notes = 3x = 45.   Answer is 45.
Answer: C
The average weight of 19 students is 15kg. by the admission of a new student the average weight is reduced to 14.4 kg. the weight of the new student is ?	Choose the correct choice from the following.
A) 10.6 kg
B) 3 kg
C) 11 kg
D) 14.9 kg
E) None

Solution: Answer   Weight of new student = Total weight of all 20 students - Total weight of initial 19 students   = (20 x 14.4 - 19 x 15) kg   = 3 kg.   Correct Option: 3 kg
Answer: B
After decreasing 24% in the price of an article costs Rs.608. Find the actual cost of an article?	Select the correct option.
A) 128  B) 277  C) 800  D) 2688  E) 1991

Solution: 800P* (76/100) = 608   800P800 * (76/100)= 
800 * (76/100) = 608
608   800P= 8 * 100= 
8 * 100 = 800
> 800P= 800   Answer: 800
Answer: C
The reciprocal of the hcf and lcm of two are 1/15 and 1/312 .if one of the number is 24 then other no. is	Choose the correct choice from the following options
A) 126
B) 136
C) 146
D) 156
E) 195

Solution: reciprocal of the hcf and lcm of two are 1/15 and 1/312   so, HCF = 15 , LCM = 312   LCM * HCF = product of two numbers = a*b => b = LCM * HCF / a   so, other = 15*312 / 24= 
15*312 / 24 = 195
195   ANSW195R:195
Answer: E