Ques 1. Amina sells a TV at a profit of 25%. Had she sold it at a profit of 25% of the selling price, her profit would have increased by 5% of the cost price plus Rs. 150. What is the cost price of the TV?

1. 13000
2. 12480
3. 12000
4. 10800

Ans: Let CP= x Profit in 1st care = x*25/100 = (¼)x

(¼)x = x* (s/100) + 150 = 12000

Ques 2. Amina marks the price of an article 40% above the cost price. If she changes the discount from 5% to 10%, the profit would decrease by Rs. 14. How much profit would she earn, if she gives a discount of 20% on the marked price?

1. 32
2. 34
3. 30
4. 24

Ans: Let CP = 100, MP=140

Diff. between profit sold at 5% and 10% = (140*5/100) = 7

When diff = 7, then CP = 100

14———–100*14/7 = 200 =MP

Discount = 20%

SP = (280*80/100) = 24

Profit = 24

Ques 3. From a Vessel containing 25L of pure milk, 5L are taken out and some quantity of water is added. This activity is done one more time. What quantity of milk is the final solution?

1. 21L
2. 16L
3. 15L
4. 19L

Ans: milk-25

1st operation: 20-5(water)

2nd operation: (20/25)*5 = 4

20-4 = 16L

Ques 4. From a number, when the quotient obtained on dividing it by 19 is subtracted, then 360 is obtained. What is the number?

1. 380
2. 361
3. 342
4. 6840

Ans: x-(x/19) = 360

x=380

Ques 5. A and B enter into a partnership, with A putting in three times what B has put in. However B is the working partner and entitled to a salary of Rs 50,000 per month to be paid from the gross profit, in addition to his share of the profit. If the gross profit at the end of the year is Rs 30 lakh, what is A’s profit?

1. 24 lakh
2. 12 lakh
3. 18 lakh
4. 6 lakh

Ans: A:3x, B = x

Ratio of profit = 3:1

Gross profit = Rs 30,00,000

share of B working part new = 12*50000 = 600000

Remaining profit = 24,00,000

A’s share = 18 lakhs

Ques 6. The difference in squares of 2 consecutive numbers is 121. What is the smaller of two numbers?

1. 60
2. 62
3. 63
4. 61

Ans: x & x+1 be two consecutive numbers

2x = 121

x= 60

Ques 7. The quadratic equation (2k+1)x^2 – (7k+2)x + (7k-3) = 0 has equal roots, when k= _______

1. -4/7 or -4
2. 4/7 or 4
3. -4/7 or 4
4. 4/7 or -4

Ans: (7k+2)^2 – 4(7k-3)(2k+1) = 0

-7k^2 +24k+16 = 0

k= -4/7 , 4

Ques 8.  If a discount of 20% is given on the marked price of an article, Harish makes a loss of 12%. What will be the loss/ profit percentage if a discount of 4% is given on the marked price of the article?

1. Profit of 6.5%
2. Profit of 5.6%
3. Loss of 5.6%
4. Loss of 6.5%

Ans: Let MP = 100, SP1 = 80, CP =(80*100/88) = 1000/11

SP2 = 96, Profit% = 5.6

Ques 9. Let x be the least number which, when divided by 2, 3, 4, 5 and 6, leaves in each case the remainder 1, but when divided by 7 leaves no remainder. What is the sum of digits of x?

1. 7
2. 3
3. 5
4. 4

Ans: LCM of (2,3,4,5,6) = 60

So, the no. will of the form 60k+1

When k= 5, 60*5+1 = 301 divisible by 7

Sum of digit = 3+0+1 = 4

Ques 10. If α and β are the roots of the equation 2x^2 – 3x +1 = 0, then the quadratic equation with roots α/β and β/α is :

• 2x^2 – 5x + 2 = 0

• 2x^2 – 5x – 2 = 0

• 2x^2 + 5x – 2 = 0

• 2x^2 + 5x + 2 = 0

Ans:

Ques 11. Two types of rice costing Rs 90 per kg and Rs 140 per kg are mixed in a certain ratio so that the resulting mixture sold at Rs 120 per kg gives a profit of 20%. What is the ratio in which the types of rice are mixed?

1. 5:3
2. 4:1
3. 3:1
4. 3:2

Ans: None

Read the Pie chart and slove following questions (Questions 42-46)

The pie chart below show the breakup of xpenses incurred by model college alumni Association

During their Annual Alummni meet.The pie chart represents the total funds available available with the associations, which amounted RS.720000.

Ques 12.  What is the ratio of the amount spent on Welcome Kit and DJ & Videography together to the total expenditure excluding the balance?

1. 2:7
2. 1:3
3. 2:9
4. 1:4

Ans: Reqd ratio : welcome kit +d5 and videograph  

45+45 = (90/360) * 720000

180000 : 630000

2:7

Ques 13. Approximately what percent of the total funds was spent on the Conference Hall Rent?

1. 60%
2. Cannot be determined
3. 33.3%
4. 16.6%

Ans:

Ques 14. What was amount paid towards snacks and Dinner?

1. 1,20,000
2. 2,40,000
3. 3,60,000
4. 2,00,000

Ans: Amt paid for (snacks + dinner) = (120/360) * 720000  = 240000

Ques  15. How much money was left (balance) after all the expenses were paid?

1. 72,000
2. 90,000
3. 1,05,000
4. 60,000

Ans: Balance : (45/360) * 720000 = 90,000

Ques 16. If 50% of the amount under Miscellaneous was spent on conveyance, calculate the amount spent on coveyance.

1. 45,000
2. 15,000
3. 30,000
4. 12,000

Ans: Amt of misc = (15/360) * 720000 = 30000

50% of misc = 15000

Ques 17. There are four prime numbers written in ascending order of magnitude. The product of first three is 715 and that of the last three is 2431. What is the largest number?

1. 13
2. 19
3. 17
4. 23

Ans: 715= 5*11*13

2431 = 11*13*17

5,11,13,17 is largest

Ques 18. A farmer has 50 sheep, 125 cows and 200 horses. He keeps only one kind of animal in a flock and keeps the same number of animals in any flock. If these slocks are as large as possible, how many flocks does he have?

1. 1000
2. 25
3. 15
4. 40

Ans: HCF(50,125& 200) = 25

(20+125+200) / 25 = 15

Ques 19. The LCM of 2 numbers is 40 times their HCF. The sum of LCM and HCF is 1476. If the numbers are 180 and x, then what is the sum of the digits of x?

1. 18
2. 14
3. 17
4. 13

Ans: LCM = 40* HCF, LCM + HCF = 1476

HCF = 36

LCM = 40* 36

X =(40*36) * 36 /180 = 288

Sum of digits = 18

Ques 20. A TV set is available for Rs 14750 cash payment or for Rs 3200 cash down payment and two equal annual installments. If the interest is charged at the rate of 10% per annum, compounded annually, then how much is each installment for?

1. 6650
2. 6655
3. 6665
4. 6560

Ans: Balance = 11550. Let each installment be Rs x

x[10/11 + (10/11)^2 ] = 115500

x= 6655

Ques 21. The highest score in an inning was 3/11 of the total score and the next highest 3/11 of the remainder. If the scores differed by 9. Find the total score.

1. 141
2. 121
3. 114
4. 118

Ans: Let total score = x

(3/11)x- 3/11[x- (3/11)x] = 9

x=121

Ques 22.

1. 32
2. 36
3. 38
4. 22

Ans:

Ques 23. A solid metalic sphere of radius under root 6 cm is converted into a solid right circular cylinder of radius r cm. If the height of the cylinder is twice the radius of the sphere, then what is the value of r (in cm) ?

1. 2
2. 6
3. 4
4. 3

Ans:

Ques 24. 

1. 4
2. 2
3. 1
4. 3

Ans:

Ques 25. How many 5-digit numbers can you make from the digits 0,2,4,6 and 8, if you can use any digit any number of times?

1. 96
2. 625
3. 2500
4. 480

Ans: 4*5*5*5*5 = 2500

Ques. 26 By selling a toy for Rs 810, Renu suffers as much loss as she could have gained by selling it at 10% profit, If she now sells it for Rs 1044, then what is her profit percent?

1. 12
2. 18
3. 15
4. 16

Ans:

Ques 27 A train passes a man standing on a platform in 8 seconds and also crosses the platform whose length is 264m, in 20s. What is the length of the train?

1. 98m
2. 198m
3. 180m
4. 176m

Ans: Let the length of the train = l m

Speed of train where passes a man = l/8 (m/sec)

Speed of l m long train when passes 264m long platform = (l+264) / 20

l/8 = (l+264) / 20

L =176

Ques 28. At an examination in which the total marks were 500, A got % more than B, B got % more than C, and C got % less than D. If A got 400 marks, what percent of total marks was obtained by D?

1. 50
2. 55
3. 60
4. 65

Ans: A=200

B = 160

C= 100

D = 125

If A got 400, D got 250

% marks of D = (250/500)*100 = 50

Ques 29. There are four prime numbers written in ascending order of magnitude. The product of first three is 429 and that of the last three is 2717. What is the largest number?

1. 23
2. 19
3. 13
4. 17

Ans: 429 = 3*11*13

2717= 11*13*19

Prime nos 3,11,13,19

Ques 30. A vessel can be filled by a tap in 8 minutes, and by another tap B in 10 min, A third tap C can empty vessel in min. If all taps are opened simultaneously when the vessel is half full, then which of the following is true?

1. The vessel will be emptied in 40 minutes.
2. The vessel will be filled in 20 minutes.
3. The vessel will be filled in 40 minutes.
4. The vessel will be emptied in 20 minutes.

Ans: A+B+C = ⅛ + 1/10 – ¼ = 1/40 part of tank

When it is half full, it will be emptied in 20 minutes.

 Set 2

Ques. 1 An express train starts from City X at 4 p.m. and reaches City Y at 8 p.m. A mail train starts from City Y at 4 p.m. as well and reaches City X at 10 p.m. At what time do they pass each other?

1. 6:12 p.m.
2. 6:24 p.m.
3. 6:36 p.m.
4. 6:00 p.m.

Answer:-

Ques. 2 A volleyball team has 6 people. In how many different ways can teams be made from a class of 12 people?

1. 18
2. 2
3. 72
4. 924

Answer:-

Ques. 3 A boat coven a distance of 60 km in the direction of flow of water in 4 hours. If the speed of boat in still water is double the speed of flow of water, then how much distance will it cover in 2 hours opposite the flow?

1. 8 km
2. 12 km
3. 10 km
4. 16 km

Answer:-let speed of boat = 2x, speed of water flow = x

speed downstream = 3x, speed upstream = x

60/3x = 4

X = 60/12 = 5

speed of boat =10

Distance covered in 2 hrs opposite the flow : 5 x 2 = 10

Ques. 4 ‘p’ litres of water was poured into a tank and it was still ‘c’% empty. How much water (in litres) must be poured into the tank, in order to fill it to the brim?

1. p + c /100 — c
2. pc / 100 + c
3. pc / 100 — c
4. 100p / 100 + c

Answer:-let speed of boat = 2x,speed of water flow =x

Speed downstream  = 3x, speed upstream = x

60/3x=4

X=60/12=5, speed of boat =10

Distance cover in 2 hrs opposite in flow :5*2=10

Ques. 5 One of the roots of the equation

1/x+1 + 1/x+2 = 4 / x+4

1. 1 + √3
2. 1 + 2√3
3. 2 + 2√3
4. 2 + √3

Answer:-=>x=2+-=2√3

Our of the roots = 2+-2√3

Ques. 6 Amit borrows a sum of 13120 and pays back in two equal yearly instalments. If the compound interest is reckoned annually at 5%, what is the value of each instalment?

1. 7054
2. 7056
3. 7065
4. 7045

Answer:-

Ques. 7 In what proportion should fine tea costing Rs. 2000 per kg be mixed with coarse tea costing Rs. 500 per kg, so that the cost of the mixture is Rs. 1000?

1. 1:3
2. 1:5
3. 1:4
4. 1:2

Answer:-

Ques. 8 If a discount of 12% is given on the marked price of an article, Harish makes a loss of 20%. What will be loss/profit percentage if a discount of 1% is given on the marked price of the article?

1. Loss of 10 %
2. Loss of 9 %
3. Profit of 9 %
4. profit of 10 %

Answer:-Let mp=100 ➔sp,8B, cp=(88*100)/80==110

If discount is 10%

Then sp2 =99, Loss ((110-99)/110)=10%

Ques. 9 A sum of money is divided amongst three people A, B and C in the ratio 4 : 5: 6. If B gets 1500, how much did C get?

1. 3000
2. 1800
3. 4500
4. 2000

Answer:-

Ques. 10 A boatman can row to a place 48 km away and return in 14 hours. He also finds that the time he requires to row 4 km with the river is the same as the time required to row 3 km against the river. What is the speed at which the boatman can row in still water?

1. 4 km/hr
2. 7 km/hr
3. 6 km/hr
4. 5 km/hr

Answer:-((48/(u+v))+ ((48)u-v)=14

4/(u+v)==3/(u-v)

(48+36)/(u-v)==14➔(8-4)/(u-v)=14➔u-v similarly u+v=8

U=7

Ques. 11 If 4.8 = x + 1 / y + (1/z+1)  wherex,y and z are positive integers, then Y+ Z the value of 2x — 3y + 4z is:

1. 15
2. 19
3. 17
4. 13

Answer:-

Ques. 12 A and B working together can finish a piece of work in 4 days. If A working alone can finish it in 6 days, how long will B take to finish the same work?

1. 24 days
2. 12 days
3. 2 days
4. 10 days

Ques. 13 Let α, β, ϒand δ be non-zero numbers. If α, β are the roots of x^2 + ϒ x + δ= 0 and ϒ, δare the roots of x^2 + α x +β = 0, then what is the value of (α + β –ϒ +δ)?

1. -4
2. 2
3. 3
4. -2

Ques. 14 A shopkeeper allows 25% discount on the marked price of an article and still makes a profit of 20%. If he gains 240 over the sale of one article, then what is the cost price of the article?

1. 1600
2. 800
3. 600
4. 1200

Answer:-Let Cp=100 ,profit =20%, Sp = 120

If profit is Rs.20, CP=100

(240*100)/20==1200

Let CP = 100, profit = 20%, SP = 120

If profit is Rs. 20, CP = 100

240 *100 / 20 = 1200

Ques. 15 If a discount of 12% is given on the marked price of an article, Harish makes a loss of 20%. What will be loss/profit percentage if a discount of 1% is given on the marked price of the article?

1. Loss of 10 %
2. Loss of 9 %
3. Profit of 9 %
4. profit of 10 %

Answer:-Let mp=100 ➔sp,8B, cp=(88*100)/80==110

If discount is 10%

Then sp2 =99, Loss ((110-99)/110)=10%

Answer:-

61408-56789=4619 = 31 x 149

61408 ÷ 149 à remainder =20

Ques. 16 There are four prime numbers written in ascending order of magnitude. The product of first three is 715 and that of the last three is 2431. What is the largest number?

1. 13
2. 19
3. 17
4. 23

Answer:-

715 = 5 x 11 x 13

2431 = 11 x 13 x 17

5, 11, 13, 17 largest

Ques. 17 A student was asked to divide a number by 6 and add 12 to the quotient. He, however, first added 12 to the number and thendivided by 6, getting 112 as the answer. What was the sum of digits of the correct answer?

1. 9
2. 12
3. 7
4. 5

Answer:-what he did (x+12)/6==112 x+12=112*6=678

X=660

Correct ans=(660/6)+12=110+12=122

Sum of digts = 5

Ques. 18 Even after reducing the marked price of an article by 68, a trader still makes a profit of 20% on it. If the cost price is 360, what approximate percentage of profit would he have made if he had sold it at the marked price?

1. 40%
2. 41%
3. 38%
4. 39%

Answer:-Cp=360        sp=(360*120)/100==432

MP-68=432➔432+68=500

New % profit==((500-360)/360)*100==((140*100)/360)=39%

Ques. 19 Let x be the greatest number of four digits which,when divided by 15,20, and 28.leaves a remainder 2in each case.What is the sum of digts of X?

1. 23
2. 20
3. 21
4. 25

Explantions: LCM 15,20,28==420

420*23=9660+2==9662

Sum of digts =9+6+6+2==23

Ques. 20 If the average profit earned by the company on selling each car is rs.2500,calculate the profit earn by company in the year 2002.

1. 332500000
2. 275000000
3. 312500000
4. 300000000

Exp: car sold in 2002==12500 * 2500

=312500000

Ques. 21 How many cars were sold in all during the given 5year period?

1. 60000
2. 80000
3. 55000
4. 70000

Exp: no of car sold(15+12.5+17.5+10+15)*1000

70*1000=70000