MU-NLPC/Calc-aqua_rat huggingface dataset:
A tour group of 25 people paid a total of $670 for entrance to a museum. If this price included a 5% sales tax, and all the tickets cost the same amount, what was the face value of each ticket price without the sales tax?
Choices Choose the correct choice from the following:
A) $22  B) $23.94  C) $24  D) $25.46  E) $30

Solution: $25.46.
Answer: D
A man buys an item at Rs. 600 and sells it at the loss of 20 percent. Then what is the selling price of that item  Choose the correct choice
A) Rs. 480  B) Rs. 760  C) Rs. 860  D) Rs. 960  E) None of these

Solution: Explanation:   Here always remember, when ever x% loss,   it means S.P. = (100 - x)% of C.P   when ever x% profit,   it means S.P. = (100 + x)% of C.P   So here will be (100 - x)% of C.P.   = 80% of 600   = 80/100 * 600= 
80/100 * 600 = 480
480   Option Rs. 480
Answer: A
If Rs. 10 be allowed as true discount on a bill of Rs. 110 due at the end of a certain time, then the discount allowed on the same sum due at the end of double the time is:  Select:
A) Rs. 20
B) Rs. 21.80
C) Rs. 22
D) Rs. 22.33
E) Rs. 18.33

Solution: S.I. on Rs. (110 - 10) for a certain time = Rs. 10.   S.I. on Rs. 100 for double the time = Rs. 20.   T.D. on Rs. 120 = Rs. (120 - 100) = Rs. 20.   T.D on Rs. 110 = Rs.(20/120)x100=Rs.18.33   answer:Rs. 18.33
Answer: E
Two cars, Car1 and Car2 move towards each other from W and Y respectively with respective speeds of 20 m/s and 15 m/s. After meeting each other Car1 reaches Y in 10 seconds. In how many seconds does Car 2 reach W starting from Y? Pick: A) 15.5 sec B) 8.4 sec C) 33.6 sec D) 31.11 sec E) 16.8 sec

Solution: W--------------------------------------|----------------------------Y   Car A(20mps)------------------------->P<---------------Car B(15mps)   Let 2 cars meet each other at point P in t seconds.   Car1 covers distance= 20t. Car2 covers distance=15t. So, total distance WY= 35t.   From P, Car 1 reaches onto Y in 10 secs. So it covers 15t further.   so, 15t/20 = 10   So t=40/3 sec and total distance = (35*40)/3   Hence Car2 will cover total distance in (35*40)/(3*15) = 31.11 sec approx.   Answer 31.11 sec
Answer: D
A can finish a work in 12 days and B can do same work in half the time taken by A. then working together, what part of same work they can finish in a day? Choose the correct choice from the following answers:
A) 1/4 B) 1/6 C) 1/7 D) 1/8 E) None of these

Solution: Explanation:   Please note in this question, we need to answer part of work for a day rather than complete work. It was worth mentioning here because many do mistake at this point in hurry to solve the question   So lets solve now,   1/4's 1 day work = 1/12   B's 1 day work = 1/6 [because B take half the time than 1/4]   (1/4+B)'s one day work =   (1/12+1/6)=1/4   So in one day 1/4 work will be done   1/4nswer: 1/4
Answer: A
Find how many positive integers less than 10,000 are there such thatthe sum of the digits of the no. is divisible by 3? Choose the most appropriate option:	A) 3468	B) 2378	C) 2875	D) 3334	E) 3579

Solution: If sum of the digits is divisible by 3, the number is divisible by 3.   Therefore, required number of non-negative integers is equal to count of numbers less than 10,000 which are divisible by 3.   Such numbers are (3, 6, 9, ... , 9999) (arithmetic progression with first term=3, last term=9999, common difference=3).   Count of such numbers =   9999   3   =   3333   99993=3333   But zero is also divisible by 3.   This makes our total count 3334   3334
Answer: D
There are 3 green shirts, 2 white shirts, 5 blue shirts, and 7 red shirts in the wardrobe. What is the least number of shirts that you have to take out to make sure that you will have a matching pair?
Choose the correct answer:  A) 4  B) 7  C) 5  D) 2  E) 6

Solution: Since there are 4 colors, if you take 4 shirts, you could still have 1 shirt per color and not have a match.   Therefore, upon taking the 5th shirt, you will definitely have a match since the 5th shirt will form at least a pair with the 1st 4   So 4+1= 
4+1 = 5
5   Answer is 5
Answer: C
If 4a = 16b and 8b = 13c, Find a:b:c?
Pick one.
A) 52:13:8  B) 13:7:52  C) 7:13:52  D) 7:13:54  E) None of these

Solution: Explanation:   (4a = 16b ==> a/b = 16/4)   and (8b = 13c ==> b/c = 13/8)   ==> a:b = 16:4 and b:c = 13:8   a:b:c = 52:13:8   52:13:8nswer: Option 52:13:8
Answer: A
A rectangular floor is covered by a rug except for a strip 4 meters wide along each of the four edge. If the floor is 25 meters by 20 meters, what is the area of the rug in square meters?	Choose the correct answer
A) 256
B) 266
C) 204
D) 224
E) 324

Solution: A strip of 4 meters is covering the inner rectangular rug for all 4 sides.   Length of inner rug = 25-(2*4)   breadth of inner rug= 20-(2*4)   Area of Rug= 17 * 12= 
17 * 12 = 204
204 sq. mt   Ânswer: 204
Answer: C
Ten telegenic contestants with a variety of personality disorders are to be divided into two “tribes” of four members each, tribe A and tribe B, for a competition. How many distinct groupings of two tribes are possible?  Choose the correct option:
A) 120
B) 126
C) 210
D) 1200
E) 1260

Solution: My ans is 102104 = 210   210
Answer: C
The average salary per head of the entire staff of an office including the officers and clerks is Rs.90. The average salary of officers is Rs.600 and that of the clerks is Rs.84. If the number of officers is 2, find the number of officers in the office?  Answers
A) 3
B) 1
C) 8
D) 9
E) 5

Solution: 6 * 22= 
6 * 22 = 132
132   7 * 19= 
7 * 19 = 133
133   --------------   1   Answer:1
Answer: B
The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is:  Choose the correct choice:
A) 123	B) 127	C) 235	D) 305	E) 315

Solution: HCF of 1651 ( 1657-6) and 2032 (2037-5) is 127.   ANSWER:127
Answer: B
In each of the following questions a number series is given with one term missing. Choose the correct alternative that will continue the same pattern and fill in the blank spaces.
2, 7, 14, ?, 34, 47	Choose the correct choice from the following answers:
A) 31
B) 23
C) 36
D) 31
E) 33

Solution: B   23   The given sequence is +5, +7, +9, ——   ie. 2+ 5 = 7, 7 + 7 = 14, 14 + 9 = 23
Answer: B
What is the probability of getting exactly 1 head in a single throw of five fair coins? Choose the correct choice from the following answers: A) 1/4 B) 3/8 C) 3/16 D) 5/32 E) 7/32

Solution: One possible case is HTTTT.   P(HTTTT) = 1/2*1/2*1/2*1/2*1/2 = 1/32   There are 5C1 = 5 possible cases.   P(1 head) = 5*1/32 = 5/32   The answer is 5/32.
Answer: D
If a store adds 60 chairs to its current inventory, the total number of chairs will be the same as three-halves the current inventory of chairs. If the manager wants to increase the current inventory by 50%, what will the new inventory of chairs be?  Choose the most appropriate option:
A) 40
B) 60
C) 100
D) 180
E) 160

Solution: Explanation:   Letâ€™s say t = total current inventory of chairs. The first sentence states that 60 + t = (3/2)t. First solve for the current inventory:   60 + t = (3/2)t   60 = (3/2)t âˆ’ t   60 = (1/2)t   120 = t   The manager wants to increase this by 50%.   50% of 120 is 60, so the new inventory will be 180.   Answer: (180).
Answer: D
Find the value of x in the sequence of numbers 5,1,6,0,4,8,x,2 if the sum of the first 7 numbers is 30 and the average is 4. Choose one.
A) 4 B) 9 C) 8 D) 6 E) 7

Solution: Given 5+1+6+0+4+8+x =30 (36+6)/7 =6 Answer : 6
Answer: D
if capacity of giving milk of a cow is y litre.from this 1litre is used to make tea.rest amount is multiply by 2 and then divided by 3.calculate the result if y=13 litre.  Choose the correct choice from the following.
A) 6
B) 5
C) 8
D) 9
E) 4

Solution: from 13 litre 1 litre used to make tea,rest amount is 12 litre.   12*2= 
12*2 = 24
24   now,24/3=8 litre   answer 8
Answer: C
Marissa, Keith and Tony all go to Disneyland many times each summer. Together, they have all gone a total of 65 times. Marissa and Keith have gone 55 times total, while Keith and Tony have gone 40 times total. How many times has Keith gone just by himself?  Choose the correct choice from the following answers:
A) 30	B) 20	C) 25	D) 40	E) 10

Solution: Marissa + Keith + Tony = 65   M + K = 55   K + T = 40   Plug these each into the original formula   55 + T = 65   T = 10   Then, M + 40 = 65   M = 25   So, 25 + K + 10 = 65   Subtract 25 and 10 from each side to get Keith's total   K = 30   30nswer: 30
Answer: A
In game of 500 points there are three participants A, B, and C. A game take place. A gives to B 80 points and to C 101 points. Then how many points can B give to C
Answers:	A) 15 points	B) 25 points	C) 35 points	D) 45 points	E) 55 points

Solution: In the game of 500 points,   A gives B 80 points that means B got  (500-80)= 
 (500-80) = 420
420   A gives B 101 points that means B got  (500-101)= 
 (500-101) = 399
399   so, B:C=420:399   so, in the game of 420, B gives "21" (420-399) points to C..   so, in the game of 500, B gives to C as    500*21/420= 
 500*21/420 = 25
25 points.   ANSWER:25 points
Answer: B
Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.50 a kg to produce a mixture worth Rs. 6.30 a kg Choose the correct choice from the following choices
A) 2:0
B) 2:3
C) 2:1
D) 8:9
E) 2:8

Solution: By the rule of alligation:   Cost of 1 kg rice of 1st kind Cost of 1 kg rice of 2nd kind   Required ratio = 80 : 90 = 8 : 9   Answer: 8:9
Answer: D
What is the sum of all 3 digit numbers that leave a remainder of '2' when divided by 8? Choose the correct choice from the following choices:  A) 61,600  B) 64,850  C) 64,749  D) 49,700  E) 56,720

Solution: Find the number , Upon Sum of 3 Digits of a number Gives a Reminder 2 when it is Divided by 8   Seeing the Options 61,600fter Dividing an Finding the Reminder of 2   My 61,600nswer was 61,600
Answer: A
A train 300 m long can cross an electric pole in 20 sec and then find the speed of the train?  Select
A) 17 Kmph
B) 54 Kmph
C) 72 Kmph
D) 18 Kmph
E) 19 Kmph

Solution: Length = Speed * time   Speed = L/T   S = 300/20= 
300/20 = 15
15 M/Sec   Speed= 15*18/5 (To convert M/Sec in to Kmph multiply by 18/5)   Speed = 54 Kmph   Answer: 54 Kmph
Answer: B
With a uniform speed a car covers a distance in 8 hours. Were the speed increased by 4 km/hr the same distance could be covered in 7 1⁄2 hours. What is the distance covered?  Choices
A) 640 km  B) 480 km  C) 420 km  D) Cannot be determined  E) None of these

Solution: Here D⁄7.5 - D⁄8 = 4   (where D is the distance in km)   ⇒ 0.5 D = 4 × 8 × 7.5   ⇒ D = 2 × 4 × 8 × 7.5 = 480 km   Answer 480 km
Answer: B
A trader mixes 10 kg of rice at Rs. 20 per kg with 20 kg of rice of other variety at Rs.40 per kg and sells the mixture at Rs. 40 per kg. His profit percent is:
Choose one:
A) No profit, no loss  B) 5%  C) 8%  D) 20%  E) None of these

Solution: C.P. of 30 kg rice = Rs. (10 x 20 + 20 x 40) = Rs. 200 + 800 = Rs. 1000.   S.P. of 30 kg rice = Rs.30x 40 = Rs. 1200   Gain =200/1000x100% =20%.   Answer: Option 20%
Answer: D
Three boys are ages 4, 6 and 7 respectively. Three girls are ages 5, 8 and 9, respectively. If two of the boys and two of the girls are randomly selected and the sum of the selected children's ages is z, what is the difference between the probability that z is even and the probability that z is odd?  Choices:
A) 1/9	B) 1/6	C) 2/9	D) 1/4	E) 1/2

Solution: 1/9ge of Boys:4, 6, 7   Sum of ages taken 2 at a time: 10,13,11   1/9ges of Girls:5, 8, 9   Sum of ages taken 2 at a time: 13,17,14   9 Combinations of sum between sets(10,12,11) & (13,17,14)   =23,27,24- 16,30,17- 24,28,25   Prob(Even)= 5/9   Prob(Odd) =4/9   1/9nswer=5/9 - 4/9 = 1/9   1/9nswer:1/9
Answer: A
Each Machine of type A has 3 steel parts and 3 chrome parts. Each machine of type B has 6 steel parts and 5 chrome parts. If a certain group of type A and type B machines has a total of 60 steel parts and 44 chrome parts, how many machines are in the group	Choose the correct choice from the following answers.
A) 12 B) 13 C) 14 D) 15 E) 16

Solution: Look at the below representation of the problem:   Steel Chrome total   A 3 3 60 >>no. of type A machines=60/6= 
60/6 = 10
10   B 6 5 44 >>no. of type B machines=44/11= 
44/11 = 4
4   So the answer is 14 i.e C.   Hope its clear .
Answer: C
When magnified 1,000 times by an electron microscope, the image of a certain circular piece of tissue has a diameter of 2 centimeter. The actual diameter of the tissue, in centimeters, is Choose the correct answer:
A) 0.005
B) 0.002
C) 0.001
D) 0.0005
E) 0.0002

Solution: It is very easy if x is the diameter, then the magnified length is 1000x.   ince 1000x=2 then x=2/1000=0.002.   The answer is 0.002
Answer: B
Roja and Pooja start moving in the opposite directions from a pole. They are moving at the speeds of 7 km/hr and 3 km/hr respectively. After 4 hours what will be the distance between them?	Select
A) 22 km
B) 40 km
C) 65 km
D) 18 km
E) 16 km

Solution: Distance = Relative Speed * Time   = (7 + 3) * 4= 
(7 + 3) * 4 = 40
40 km   [ They are travelling in the opposite direction, relative speed= sum of the speeds].   Answer: 40 km
Answer: B
A cube of edge 5 cm is cut into cubes each of edge 1 cm. The ratio of the total surface area of one of the small cubes to that of the large cube is equal to:
Choose one
A) 1:25  B) 1.225  C) 1:52  D) 1:522  E) None

Solution: Sol.   Required ratio = 6 * 1 * 1 / 6 * 5 * 5 = 1/25 = 1:25.   1:25nswer 1:25
Answer: A
A diet contains 400 grams of a mixture of two foods, food X and food Y. Food X contains 10 percent protein and food Y contains 15 percent protein. If a diet provides exactly 48 grams of protein daily, how many grams of food X are in the mixture?	Choose the correct choice from the following choices:
A) 200
B) 220
C) 240
D) 260
E) 280

Solution: Let x be the number of grams of food X in the mixture.   0.1x + 0.15(400-x) = 48   0.05x = 12   x = 240   The answer is 240.
Answer: C
13 buckets of water fill a tank when the capacity of each bucket is 51 litres. How many buckets will be needed to fill the same tank, if the capacity of each bucket is 17 litres?  Choose the correct choice from the following answers: A) 39 B) 28 C) 23 D) 12 E) 24

Solution: Capacity of the tank = (13 × 51) litre   Number of buckets required of capacity of each bucket is 17 litre = 13×51/17=13×3=39   39nswer is 39
Answer: A
The sum of the non-prime numbers between 50 and 60, non-inclusive, is
Choose the correct choice from the following choices:  A) 263  B) 293  C) 323  D) 353  E) 383

Solution: sum of consecutive integers from 51 to 59, inclusive ====> (A1 + An)/2 * # of terms = (51 + 59)/2 * 9 = 55 *9= 
55 *9 = 495
495   sum of non-prime numbers b/w 50 and 60, non inclusive===> 495 - 112 (i.e., 53 + 59, being the prime #s in the range) =383   Answer: 383
Answer: E
The C.P of 10 pens is equal to the S.P of 12 pens. Find his gain % or loss%?  Select:
A) 16 2/8% B) 16 6/3% C) 16 2/3% D) 18 2/3% E) 16 25%

Solution: 10 16 2/3%P = 12 SP   12 --- 2 16 2/3%P loss   100 --- ? => 16 2/3%   Answer:16 2/3%
Answer: C
A person lent a certain sum of money at 4% per annum at simple interest and in 8 years the interest amounted to Rs.340 less than the sum lent. What was the sum lent?	Answers:
A) Rs:567 B) Rs:518 C) Rs:519 D) Rs:500 E) Rs:520

Solution: P - 340 = (P*4*8)/100   P = 500   Answer:Rs:500
Answer: D
I. c3 - 988 = 343,
II. d2 - 72 = 49 to solve both the equations to find the values of c and d?	Choose the correct choice from the following answers
A) a > b  B) a ≥ b  C) a < b  D) a ≤ b  E) a = b or the relationship between a and b cannot be established.

Solution: Explanation:   c3 = 1331 => c= 11   d2 = 121 => d= ± 11   c≥ d   a ≥ b)
Answer: B
In how many ways can a group of 3 people be selected out of 5 men and 7 women, so that 2 of them are of the same gender?	Select.
A) 96  B) 125  C) 155  D) 175  E) 225

Solution: Since the question stem asks for 2 members of the same gender we get the following:   1. 2-Men and 1-Woman, hence (2C5)*(1C7) = 5*2*7= 
5*2*7 = 70
70   2. 2-Women and 1-Man, hence (2C7)*(1C5)= 7*3*5= 
7*3*5 = 105
105   Thus, the total number of ways would be: 70+105= 
70+105 = 175
175   ANS:175
Answer: D
A palindrome is a number that reads the same front-to-back as it does back-to-front (e.g. 202, 575, 1991, etc.) p is the smallest integer greater than 800 that is both a prime and a palindrome. What is the sum of the digits of p?  Choices:  A) 3  B) 4  C) 5  D) 6  E) 7

Solution: Given that p is smallest integer greater than 800 - assume there is a 3-digit that satisfies the above conditions. Let the number be xyx ; question asks us the values of 2x+y   We can straight away cross out options A) and D) - sum of digits 3 or 6 implies it is divisible by 3 ---> we know that p is a prime number   Coming to option B) 2x + y = 4 --> only x = 2 and y = 0 satisfy this equation ( x> 2 will never give sum of digits = 4) ; but 202 is divisible by 2 ; we know that p is a prime number   Similarly option C) 2x+y = 5 --> only x = 2 and y = 1 satisfy this equation ( x> 2 will never give sum of digits = 5) ; but 212 is divisible by 2 ; we know that p is a prime number   Therefore answer option should be 7 ---> can be verified by taking 2x+y = 7 ---> x = 3 and y = 1 ; gives 313   7
Answer: E
The 52nd term of the series a, b , b, c, c, c, d, d, d, d, e, e, e, e, e, .... is Choose the correct choice from the following choices: A) f B) k C) l D) j E) t

Solution: a is one time, b,2 times so on...   so 52=n(n+1)/2..   0r n(n+1)= 104... now 10*11=110...9*10<104 so n= 10.. and 10th alphabet is J. ans j
Answer: D
How many minutes does Aditya take to cover a distance of 400 m, if he runs at a speed of 20 km/hr
Select:	A) 1 1/5min	B) 2 1/5min	C) 3 1/5min	D) 4 1/5min	E) 5 1/5min

Solution: Explanation:   We know that,   Time=Distance/Speed   Speed=20 km/hr=20∗5/18m/sec=50/9m/sec   Time =(400∗9/50)=72sec=1 1/5min   Option 1 1/5min
Answer: A
A and B invests Rs.6000 and Rs.8000 in a business. After 6 months, A withdraws half of his capital and B withdraws one-fourth of his capital. In what ratio should they share the profits at the end of the year?
Options.
A) 13:15  B) 9:13  C) 9:11  D) 13:14  E) 9:14

Solution: A : B   (6000*6)+(3000*6) : (8000*6)+(6000*6)   54000 : 84000   9 : 14   Answer: 9:14
Answer: E
An engineer designed a ball so that when it was dropped, it rose with each bounce exactly one-half as high as it had fallen. The engineer dropped the ball from a 18-meter platform and caught it after it had traveled 53.4 meters. How many times did the ball bounce?	Choose the correct choice from the following answers
A) 5  B) 6  C) 7  D) 8  E) 9

Solution: Ans: 6   Division of total diatance travelled will be 18+18+9+4.5+2.25+1.125+0.5 ans 6
Answer: B
Can anyhow help me with an easy solution for this
3, 4, 49, 5, 3, 64, 7, 6, ?	Answers:  A) 121  B) 169  C) 144  D) 256  E) 225

Solution: 3, 4, 49, 5, 3, 64, 7, 6, ?     3+4= 
  3+4 = 7
7 and 7^2=49   5+3= 
5+3 = 8
8 and 8^2=64   7+6= 
7+6 = 13
13 and 13^2=169   ANSWER:169
Answer: B
There are 4 people of different heights standing in order of increasing height. The difference is 2 inches between the first person and the second person, and also between the second person and the third person. The difference between the third person and the fourth person is 6 inches and the average height is 77. How tall is the fourth person?
Choose the correct choice from the following choices:
A) 79
B) 81
C) 83
D) 85
E) 87

Solution: Let x be the height of the first person.   Then the heights are x, x+2, x+4, and x+10.   4x+16 = 4(77) = 308   x = 73 and the fourth person has a height of 73+10= 
73+10 = 83
83 inches   The answer is 83.
Answer: C
The least number which when divided by 5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is: Choose the correct choice from the following answers:	A) 1677	B) 1683	C) 2523	D) 3363	E) 3565

Solution: L.C.M. of 5, 6, 7, 8 = 840.   Required number is of the form 840k + 3   Least value of k for which (840k + 3) is divisible by 9 is k = 2.   Required number = (840 x 2 + 3) = 1683.   Answer: Option 1683
Answer: B
The denominator of a fraction is 8 greater than the numerator. If the numerator and the denominator are increased by 5, the resulting fraction is equal to 6â„7. What is the value of the original fraction?  Choose the correct choice from the following.
A) 25/33 B) 31/39 C) 37/45 D) 43/51 E) 53/61

Solution: Let the numerator be x.   Then the denominator is x+8.   x+5 / x+13 = 6/7.   7x+35=6x+78.   x=43.   The original fraction is 43/51.   The answer is 43/51.
Answer: D
A group of men decided to do a work in 15days, but 8 of them became absent. If the rest of the group did the work in 18days, Find the original number of men?	Pick: A) 15 B) 48 C) 54 D) 33 E) 45

Solution: Original number of men = 8*18 / (18-15)= 
8*18 / (18-15) = 48
48   Answer is 48
Answer: B
The elevator in an eleven-story office building travels at the rate of one floor per 1/4 minute, which allows time for picking up and discharging passengers. At the main floor and at the top floor, the operator stops for 1 minute. How many complete trips will an operator make during a 6-hour period?	Select.
A) 88 B) 56 C) 42 D) 51 E) 64

Solution: Complete trip = 10 floors up and 10 floors down = 20 floors = 20*1/4= 
20*1/4 = 5
5 minutes plus 2 minutes= 7 minutes.   6 hour = 360 minutes.   In 360 minutes operator can make 360/7=51 trips.   Answer: 51.
Answer: D
Rohan spends 40% of his salary on food, 20% on house rent, 10% on entertainment and 10% on conveyance. If his savings at the end of a month are Rs. 1000. then his monthly salary is	Choose one: A) Rs. 5000 B) Rs. 6000 C) Rs. 4000 D) Rs. 3000 E) Rs. 2000

Solution: Sol.   Saving = [100 - (40 + 20 + 10 + 10]% = 20%.   Let the monthly salary be Rs. x.   Then, 20% of x = 1000   â‡” 20 / 100x = 1000   â‡” x = 1000 Ã— 5 = 5000.   Rs. 5000nswer Rs. 5000
Answer: A
A tradesman by means of his false balance defrauds to the extent of 40%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?	Choose the correct choice from the following options:
A) 80% B) 96% C) 92% D) 84% E) 86%

Solution: g% = 40 + 40 + (40*40)/100= 
40 + 40 + (40*40)/100 = 96
96%   ANSWER:96%
Answer: B
Present ages of X and Y are in the ratio 5:6 respectively. Seven years hence this ratio will become 6:7 respectively. What is X's present age in years?	Choose the correct choice from the following choices:	A) 35 years	B) 37 years	C) 16 years	D) 17 years	E) 18 years

Solution: Let the present ages of X and Y be 5x and 6x years respectively.   Then, (5x + 7)/(6x + 7) = 6/7   7(5x + 7) = 6(6x + 7) => x = 7   X's present age = 5x = 35 years.   35 yearsnswer: 35 years
Answer: A
Find the greatest number which on dividing 4351 and 5161, leaves a reminder of 8 and 10 respectively
Select the correct option
A) 125  B) 111  C) 129  D) 101  E) 141

Solution: Explanation:   In this type of question, its obvious we need to calculate the HCF, trick is   HCF of (4351 - 8) and (5161 -10)   = HCF (4343, 5151) = 101   Option 101
Answer: D
The average age of 10 students in a class is 15 years. If the age of teacher is also included, the average becomes 16 years, find the age of the teacher.
Choose one
A) 30
B) 26
C) 28
D) 29
E) 45

Solution: Explanation:   If teacher's age is 15 years, there is no change in the average. But teacher has contributed 1 year to all the students along with maintaining his age at 16.   Age of teacher = Average age of all + Total increase in age   = 16 + (1 x 10 ) = 26 years   Answer:26
Answer: B
A man goes to his office from his house at a speed of 3 km/hr and returns at a speed of 2 km/hr. If he takes 5 hours in going and coming, what is the distance between his house and office? Pick.
A) 8 B) 7 C) 4 D) 6 E) 09

Solution: If a car covers a certain distance at x kmph and an equal distance at y kmph,the average speed of the whole journey = 2xyx+y kmphHence, average speed = 2×3×22+3=125 km/hrTotal time taken = 5 hours⇒6istance travelled=125×5=12 km⇒6istance between his house and office =122=6 km   Answer : 6
Answer: D
Half a number plus 7 is 17.What is the number? Choose the correct choice from the following choices
A) 8  B) 9  C) 10  D) 11  E) 20

Solution: Let x be the number. Always replace "is" with an equal sign   (1/2)x + 7 = 17   (1/2)x = 17 - 7   (1/2)x = 20   x = 20   correct answer is 20
Answer: E