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15Aug, 2020

Quantitative Aptitude: Simple/Compound Interest Set 17

A principal was put at a certain rate of interest for four years. Had it been put at a rate of interest 4% higher than the previous rate interest, it would have fetched Rs. 80 more. What is the principal?
Rs 450

Rs 500

Rs 400

Rs 550

None of these

Option B
y*4*(r+4)/100 – (y*4*r)/100 =80
4yr+16y – 4yr = 8000
y= 8000/16 =Rs 500
A bottle is priced at 15000 Rs. But a person wants instalment on the bottle. So he gaves 10000 rupee cash and make an installment of Rs 650 for 8 months. Find the rate of interest charged by the shopperson?
4%

6%

3%

8%

None of these

Option B
Total amount buyer gives = 10000 + 650*8 = 15200
=, 200 = 5000*(8/12)*R/100
Shivani invested 20000 rupee in FD at the rate of 10% simple interest. After every 3rd year she added interest to principal. Find the interest earned at end of 6th year?
Rs 7500

Rs 7400

Rs 7800

Rs 7600

None of these

Option C
For the first 3 years Simple Intrest will be = 20000*10/100*3 = Rs 6000
Now she add Rs 3000 to the principal= 20000+6000 = Rs 26000
Now interest earned at end of 6th year = 26000*10/100*3 =Rs 7800
The SI on a certain sum is 4/9 th of principal and numbers of year is equal to the rate of interest. The rate of interest will be which of the following?
20/3 %

16/3%

13/3%

17/3%

None of these

Option A
4/9* P = P *R /100 * R
Akansha divides Rs 4702 among X, Y, and Z, so that if the amounts being invested at 4% SI, the amounts received after 2, 3 and 4 yrs by X, Y, and Z respectively is equal. Find the share of Y?
Rs 1556

Rs 1450

Rs 1655

Rs 1750

None of these

Option A
=1/[100+rt1] : 1/[100+rt2] : 1/[100+rt3]
=1/[100+4*2] : 1/[100+4*3] : 1/[100+4*4]
=1/108 : 1/112 : 1/116
= 812 : 783 : 756
So Y gets 783/(812+783+756) * 4702 = Rs 1566
What annual payment will give a debt of Rs 15,750 due 3 years with ROI being 5% p.a.?
Rs 6500

Rs 6000

Rs 5000

Rs 4500

Rs 5500

Option C
Intrest = 100*A / [100*t + rt(t-1)/2]
Akansha borrowed Rs 2500 and some money from Banya and Caryl respectively at 7% rate. After 4 years Akansha pays a total of Rs 1120 as simple interest to Banya and Caryl. What is the sum borrowed from Caryl?
Rs 1500

Rs 1200

Rs 1875

Rs 1955

None of these

Option A
2500*7*4/100 + y*7*4/100 = 1120
If the difference between SI and CI on some principal amount at 20% for 3 years is Rs. 48, then the principal amount is which of the following?
Rs 350

Rs 375

Rs 415

Rs 445

None of these

Option B
What principal invested for 2 years at 12% compounded annually will grow toRs.4390.4?
Rs 3200

Rs 3500

Rs 3550

Rs 3750

Rs 3150

Option B
Divide Rs. 3903 between Akansha and Banya, so that Akansha’s share at end of 7 years may equal to Banya’s share at end of 9 years, compound interest being at 4 percent?
Rs 2145 and Rs 1825

Rs 2028 and Rs 1875

Rs 2020 and Rs 1750

Rs 3050 and Rs 1950

None of these

Option B
Dividing Rs. 3903 in the ratio of 676:625
Akansha’s present share = 676 of Rs. 3903
=(676+625)
= Rs. 2028
Banya’s present share = Rs. 3903 – Rs. 2028
=Rs. 1875

01

11Aug, 2020

Quantitative Aptitude: Probability Questions – Set 14

There are 5 boys and 3 girls. A group of 3 members is to be made. Find the probability that either there are 2 boys and 1 girl or 2 girls and 1 boy?
45/56

44/54

49/64

52/58

None of these

Option A
2 boy and 1 girl, prob. = 5C2*3C1/8C3
2 girl and 1 boy, prob. = 5C1*3C2/8C3
Add both the cases.
A carton contains 8 black and 7 grey balls. 2 balls are drawn one by one without replacement. What is the probability that the balls are alternately of different colors?
7/10

8/15

9/14

10/15

None of these

Option B
When 1st is black, probability = 8/15 * 7/14
When 1st is grey, probability = 7/15 * 8/14
Add both cases.
A carton contains 10 electric lights from which 2 lights are defective. Two lights are chosen at random. What is the probability that one of them is defective?
11/43

14/45

16/45

15/35

None of these

Option C
Probability=2C1*8C1/10C2
A bag contains 8 black and 7 grey balls. A ball is drawn out of it and put back in the bag. Then a ball is drawn again. What is the probability that both the balls are grey?
49/225

48/125

25/95

55/235

None of these

Option A
A bag contains 8 black and 7 grey balls. 2 balls are drawn one by one without replacement. What is the probability that the balls are alternately of different colors?
3/14

10/12

8/15

7/15

6/15

Option C
When 1st is black, probability= 8/15 * 7/14
When 1st is grey, probability = 7/15 * 8/14
Add both cases.
A bag 5 ruby and 8 white balls.Two draws of three balls each are made.What is the probability that the balls were ruby in the first draw and white in the second draw ?
140/20449

145/20445

20550/150

Cannot be determined

None of these

Option A
5C3/13C3 *8C3/13C3
The ratio of the number of womens to the number of mens is 5 : 2 in a class of 21 persons. A group of three students is to to be selected at random amongst them. What is the probability that the selected group of persons contain one mens and two womens?
51/260

45/266

40/55

37/255

None of these

Option B
n(S) =21C3 = 1330
n(E) =15C1 × 6C2 = 15 × 15 = 225
Probability = 225/1330 = 45/266
A bag contains 4 weige, 8 beige and 6 blue balls. If two balls are drawn at random, find the probability of both the balls being beige?
15/154

25/152

28/253

27/250

None of these

Option C
n(S) =18C2 =153
n(E) = 28
P(E) = 28 /153 = 28/153
In a shelf, there are 7 Computer, 6 Maths and 5 CA books. One book is picked up randomly. What is the probability that it is neither in Computer nor in CA ?
1/5

1/8

1/3

1/7

None of these

Option C
Probability=6/18
If two dices are thrown simultaneously, what is probability that sum of numbers appeared is less than 7?
5/12

7/12

9/14

10/15

None of these

Option A

02

8Aug, 2020

Quantitative Aptitude: Profit and Loss Set 22

Shivani bought 30 liters of milk at the rate of Rs.8 per liter. She got it churned after spending Rs.10 and 5 kg of cream and 30 liter of toned milk were obtained. If she sold the cream at Rs.30 per kg and toned milk at Rs.4 per liter, her profit in the transaction is which of the following?
8%

5%

4%

9%

None of these

Option A
CP =Rs.(30 x 8 + 10) = Rs.250
SP = Rs. (30 x 5 + 30 x 4) = Rs.270
Profit% = (20/250 x 100)% = 8%
When a article is sold for Rs.3400, there is a loss of 2%. What is cost price of the item?
Rs 3469.34

Rs 3500.25

Rs 2500.21

Rs 4500.65

None of these

Option A
=(3400×100)/98=3469.34
Jaya bought a fridge with 20% discount on the labelled price. Had she bought at it with 30% discount, she would have saved Rs. 500 more. At what price did she buy the fridge?
Rs 5000

Rs 2000

Rs 3500

Rs 4500

None of these

Option A
Let the labelled price be Rs.y.
Then,(80% of y)- (70% of y) = 500
10% of y =500
10%….500
100%…x= (500 x 100/10)=Rs 5000
Himani sold 10 shoes for a total profit of Rs. 460 and 12 shoes for a total profit of Rs. 144. At what profit per shoes should she sell the remaining 20 shoes so that she gets an average profit of Rs. 18 per shoes?
Rs 5.60

Rs 7.60

Rs 5.00

Rs 4.50

None of these

Option B
Total profit = Rs.(42 x 18) = Rs.756
Profit on 22 shoes = Rs. (460 + 144) = Rs. 604
Profit on 20 shoes = Rs. (756 – 604) = Rs. 152
Average profit on these shoes = Rs.(152/20) = Rs. 7.60
Suman purchased 20 dozen copy at Rs. 48 per dozen. She sold 8 dozen at 10% profit and remaining 12 dozen with 20% profit. What is her profit percentage in the transaction?
14%

16%

10%

12%

None of these

Option B
Rashi buys shoes for 10% less than its value and sells it for 10% more than its value. Her gain or loss percent is which of the following?
More than 20% profit

Less than 10% profit

More than 15% profit

Cannot be determined

None of these

Option A
Let the article be worth Rs. y.
C.P. = 90% of Rs. y. = Rs.(9/10)x S.P. = 110% of Rs.y = Rs.(11/10)y
Gain = Rs.11/10y- 9/10y=(1/5)y
gain %=(2/5y) x (10/9y) x 100 =44.46% >20%
Jason bought 25 mango for Rs.10 and sold them at the rate of 24 mango for Rs.12. What is the percentage of profit made by him?
25%

20%

15%

10%

None of these

Option A
CP of 1 mango=10/25=2/5
SP of 1 mango=12/24=1/2
Profit= 1/2-2/5=1/10
%= [(1/10) / (2/5) ] x 100 =25%
If a shirt is sold at 20% more than its usual price, an extra profit of Rs.120 would be made on it. find its usual selling price?
Rs 600

Rs 200

Rs 500

Rs 250

None of these

Option A
The loss made by selling 20 m of a shirt equals the cost price of 5 m of that shirt. Find the loss percentage?
10%

25%

35%

20%

None of these

Option B
A sold a camera at 20% profit to B. B sold it to C at 30% loss. C bought the camera for Rs.840. find the cost price of C, had A sold the camera to B at 30% loss and B sold it to C at 20% profit ?
Rs 840

Rs 800

Rs 950

Rs 900

None of these

Option A

03

6Aug, 2020

Quantitative Aptitude: Problems on Ages Set 14

The ratio of the age of brother to that of his sister at present is 9:6 and the ratio of the sister to that of his niece will be 1:2.What is the ratio of the present age of the brother to that of niece ?
3:4

1:2

3:6

2:5

None of these

Option A
=9:6 :: 1:2
=9:6::6:12
=9:6:12=3:2:4
Jaya’s present age is one fourth of his mother’s age two years ago. Jaya’s mother’s age will be twice Riya’s age after 10 years. If Riya’s 12th birthday was celebrated 2 years ago, then what is Jaya’s present age ?
6 years

9 years

7 years

8 years

None of these

Option B
Riya =12+2 =14
Jaya’s mother = x+10 =2(10+14)
x =48-10 = 38
Jaya age = 36/4 =9 years
The sum of the age of mother and his son is 62 years. After 5 years, the age of mother will be five times that of the daughter. What is the age of the daughter ?
9 years

4 years

5 years

7 years

None of these

Option D
Daughter age = 62-5(5-1)/5+1 = 62-20/6 = 7 years
The present age of Shreya is twice that of his sister. Five years hence the ratio of their ages will be 21:13. What is the present age of her sister ?
8 years

7 years

6 years

5 years

None of these

Option A
2y+5/y+5 = 21/13
26y+65 = 21y+105
5y=40
y = 8 years
18 years ago the ratio of X’s age to Y’s age was 8:13.Present age of their ages ratio is 5:7.What is the present age of Y ?
65 years

70 years

85 years

75 years

None of these

Option B
8y+18/13y+18 =5/7
56y+126 = 65x+90
9y = 36
y =4
Y = 13*4 + 18 = 70 years
Average age of a group of 32 persons is 26 years. If a new person is included then the average age rises by 1 year,then the present age of new person will be which of the following?
59 years

52 years

55 years

Cannot be determined

None of these

Option A
The ages of A and B are in the ratio of 8 : 5 respectively. After 5 years the ratio of their ages will be 7:5. What is the difference in years between their ages?
5 years

4 years

2 years

6 years

None of these

Option D
A is younger than D by 9 years. If the ratio of their ages is 7:9, find the age of D?
37 years

41 years

39 years

45 years

None of these

Option B
y/y+9 = 7/9
9y = 7y+63
2y= 63
y = 63/2 = 31.5 =32
D age = 32+9 = 41 years
8 years ago, Brijesh’s age was four greater than Rashi’s age that time. Also the ratio of Rashi’s age to Brijesh’s 8 years after will be 6 : 7. Find the ratio of Rashi’s age to that of Brijesh’s age 4 years after?
1:2

3:4

5:6

4:5

None of these

Option C
Rashi = p, Brijesh = q
8 years ago, (p-8) + 4 = (q-8) . This gives p – q = -4
After 8 years, (p+8)/ (q+8) = 6/7. This gives 7p – 6q = -8
Solve both equations, p = 16, q = 20
So required ratio = (16+4) : (20+4) = 20 : 24 = 5 : 6
Rashi’s age is 10 years more than Riya’s age. Also Rashi was twice old as Riya 15 years ago. What will be the age of Rashi 6 years after?
41 years

40 years

38 years

35 years

None of these

Option A
Riya = x, Rashi = x+10
(x+10) – 15 = 2(x-15)

04

4Aug, 2020

Quantitative Aptitude: Data Interpretation Questions Set 149

Study the information to answer the given questions:
In a university out of 600 candidates, males and females are in the ratio 8: 7. Each candidate went to either computer lab or science lab or both, 40% of the males attend only computer lab, total 20% candidates went to both the labs out of which 25% are males, 45% of the females went to only science lab.

Total how many males went to only computer lab?

142

144

150

158

None of these

Option D
Males=320:Females=280
20% both = 20*600/100 = 120
Males – (computer ) = 40*320/100 = 128
Males – (both) = 25*120/100 = 30
Females – (science) = 45*280/100 = 126
Total no of males(computer) = 128+30 = 158
How many females went to only computer lab?
25

56

58

64

60

Option D
No of females (computer) = 280-126 – 90 = 64
Total number of candidates went to computer lab is what percentage of the total number of candidates in the university?
28%

32%

35%

30%

None of these

Option B
Total no of candidates went to only computer lab = 128+64 =192
= 192*100/600 = 32%
What is the total number of females went to science lab?
216

210

225

250

None of these

Option A
=126+90=216
What is the total number of candidates went to only science lab?
288

292

302

308

405

Option A
= (320-128-30)M + 126 F = 162 + 126
= 288
Study the given information to answer the question given below:

Number of Kitkat sold by shop E in January is what percentage less than the number of Kitkat sold by store B in March ?

30%

35%

45%

50%

None of these

Option D
=(100-50)*100/100 =50%
What is the average number of Kitkat sold by shop C in last four months ?
95

98

101

88

85

Option A
=(135+56+131+58)/4=95
What is the ratio between total number of Kitkat sold by shop A and B together in April and the total number of kitkat sold by shop C and D in the same month ?
105:96

101:72

88:112

84:113

None of these

Option D
=(113+55):(131+95)=168:226
=84:113
What is the difference between the total no of Kitkat sold by shop B and C together in May to the total number of Kitkat sold by shop A and D in March ?
72

62

55

44

41

Option E
=(103+58) – (95+25)=161-120 =41
The maximum number of Kitkat was sold by which shop and in which month?
January,B

February,A

April,D

May,B

None of these

Option B

05

3Aug, 2020

Quantitative Aptitude: Simplification Questions Set 99

What approximate value should come in place of question mark (?) in the following question?Note:- (you are not expected to calculate the exact value)
55.08% of 149.98 + √(28.08 × 6.95) − 11 1/9% 𝑜𝑓 998.99 = ?
-14.5

-10

12

14

None of these

Option A
=55/100*150 + root(28*7)-100/9%*999
=82.5+ 14 -111
= -14.5
149.99% of 20 + 322.98/17.10 + √? = (8.99)²

1441

1936

998

1024

1089

Option E
=150/100 * 20 + 323/17 + √? =9*9
=30 + 18 + √? =81
=48+√?= 81
√x = 33
x=1089
1229.89 + 169.928 + 15.01 + ?² = 1690.89
12

14

17

18

None of these

Option C
1230+170+15+x^2 =1691
1415 + x^2=1691
x^2=276
x=16.613=17
(110.95 *12.25+1515.25)/19.87 =?
145

140

135

142

None of these

Option D
=111*12+1515
=2847/20 =142.35
23.95 × 26.005 + (√48.99×13.08)/90.99 = 5.05 ×? ³

8

5

12

15

20

Option B
24*26+1=5 * x^3
625=5 * x^3
x^3=125
x =5
What value will come in place of the question-mark (?) in the following questions?
√2809.38 *√528.75 * √195.88 =x /11
1474

1485

1596

1551

None of these

Option D
=(53 * 23 * 14)/11
=17066/11= 1551
?× 5 − 40^2 = 55^2 − 35 × 44
441

425

485

457

None of these

Option D
5x-800 =3025 -1540
5x-800=1485
5x=1485+800
x=2285/5=457
325/360 × 440− 15 × 20 =?
105

101

87

95

97

Option E
397-15*20= 397 – 300
x = 97
1.011 + 2.010 + 3.0111 + 4.000 =?
7

12

15

9

10

Option E
15.0005% of 625.005 =?
90

94

98

99

89

Option B

06

1Aug, 2020

Quantitative Aptitude: Time, Speed and Distance Set 21

Neelaksh is standing on a bridge which is 180 m long. He finds that a train crosses the bridge in 20 seconds but himself in 8 seconds. Find the speed of the train?
54 kmph

42 kmph

45 kmph

51 kmph

None of these

Option A
A/8 =( A + 180) / 20 = 20A = 8(A + 180) = A = 120.
Length of the train = 120 m.
Speed of the train = [120/8]m/sec
=[120/8] * 18/5kmph = 54 kmph.
Two express are running at 40 km/hr and 20 km/hr respectively in same direction. The fast express completely passes a women sitting in slower express in 5 seconds. What is the length of fast express?
35

27 (7/9)

32(1/7)

25

None of these

Option B
Relative speed = (40-20) km/hr = [20 x 5/18] m/sec = [50/9] m/sec.
Length of faster train=[50/9 x 5] m = 250/9 m
Excluding stoppages, the speed of a train is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the train stop per hour?
15 minutes

7 minutes

12 minutes

10 minutes

None of these

Option D
Time taken to cover 9 km = (9/54 x 60) min = 10 minutes
A train starts with speed of 70 km/hr with its speed increasing every two hours by 10 kmph. In how many hours will it cover 345 kms?
1 hours

4.5 hours

5 hours

7.5 hours

None of these

Option B
Distance covered in first 2 hours= (70 x 2) km
Distance covered in next 2 hours= (80 x 2) km
Remaining distance = 345 – (140 + 160) = 45 km.
Speed in the 5th hour = 90 km/hr
Time taken to cover 45 km = as speed is 90km/hr means it covers 90 km in 1 hour
Total time taken = 2 + 2 +1/2=4 (1/2)hrs
Ramesh travelled from X to Y at a speed of 40 kmph and returns by increasing his speed by 50%. What is his average speed for both the trips?
42 kmph

48 kmph

41 kmph

40 kmph

None of these

Option B
Average speed = [2 x 40 x 60] / [40 + 6]km/hr =4800/100km/hr =48 km/hr.
Three buses are running from a place P to another place Q. Their speeds are in the ratio of 4 : 3 : 5. The time ratio to reach Q by buses will be which of the following?
15:20:12

10:12:15

16:18:20

Cannot be determined

None of these

Option A
Ratio of times taken [t=d/s or t indirectly proportional to s when distance is same]= (1/4) : (1/3) : (1/5) = 15 : 20 : 12
The distance between two states P and Q is 330 km. A bus starts from P at 8AM. and travels towards Q at 60 km/hr. Another bus starts from Q at 9AM. and travels towards P at 75 km/hr. At what time do they meet?
11:15 AM

11 AM

10:30 AM

10:15 AM

None of these

Option B
Suppose they meet t hrs after 8AM
Then,(Distance moved by first in t hrs) + [Distance moved by second in (t-1) hrs] = 330
60t + 75(t–1) = 330 km
t = 3
So, they meet at (8 + 3), i.e. 11AM
Two buses of equal length are running on parallel lines in same direction at 46 km/hr and 36 km/hr. The faster bus passes the slower bus in 36 seconds. The length of each bus is which of the following?
50

45

55

60

None of these

Option A
Relative speed= L/T
(46-36) * 5/18 = [L + L ] / 36
10 * (5/18) *36 * (1/2)= L
L=50 m
A bus 125 m long passes a girl, running at 5 kmph in the same direction in which the bus is going, in 10 seconds. The speed of the bus is which of the following?
45 kmph

50 kmph

40 kmph

55 kmph

None of these

Option B
Two buses, one from Haldwani to Pune and the other from Pune to Haldwani, start simultaneously. After they meet, the buses reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is ?
7:8

3:5

1:2

4:3

None of these

Option D
(P’s speed) : (Q’s speed) = square root of Q : square-root of P =square-root of 16 : square-root of 9 = 4 : 3

07

31Jul, 2020

Quantitative Aptitude: Profit and Loss Set 21

The ratio selling prices of three materials P,Q and R is 19:25:27., the ratio of percentage profit is 7:10:4, respectively. If the cost price of material P and Q is 400 and 500 respectively. Then what is the total selling price of all three materials?
Rs 1704

Rs 1802

Rs 1500

Rs 1650

None of these

Option A
400*(1+7a/100)/ 500*(1+10a/100) = 19/25
a = 2
Profit percentages = 14%, 20% and 8%
19*b = 400*114/100
b = 24
Total SP = (19+25+27)*24 = 1704
Rishi sells two varieties of wheat P and Q. He mixes 12 Kg of P with 16 kg of Q, and by selling this mixture at price of Q wheat he gets 20% profit. If the price of P variety wheat is Rs.66/Kg, then what is the price of Q variety /Kg?
Rs 140

Rs 108

Rs 95

Rs 100

None of these

Option B
120/100*(12*66+16Q) = 28*Q
Q = 108
The ratio selling prices of three articles P,Q and R is 29:27:32., the ratio of percentage profit is 4:2:5, respectively. If the cost price of article P is equal to Q and the cost price of article R is Rs. 480. Then what is the overall gain?
20%

10%

15%

18%

None of these

Option C
29a/27a = (100+4b/100+2b)
b = 4
32a = 480(120/100)
a =18
SP’s are 522,486,576
CP of A=29*18 = CP (116/100)
CP =450
CP’s are 450,450 and 480
Overall gain =1584 =1380(100+gain/100)
gain =15%
Akansha sold a repair freeze to Banya at a profit of 30% and Banya sold it to Caryl at a profit of 20%. Caryl sold it to Diksha at a loss of 23.07%. Diksha repaired the freeze by spending 5% of his purchasing price and then sold it again to Akansha at a profit of 3.17%.Then what is the loss of Akansha?
7%

9%

10%

No profit No loss

None of these

Option D
Let CP = 100
SP= 130
Banya = 156
Caryl = 120
Diksha = 126+3.17% = 130
Akansha = 130-130 = 0
A shopkeeper bought 2750 Guava and 1210 Orange at the same price. He sells in such a way that he can buy 406 Guava with the sale of 322 Guava and he can buy only 289 Orange with the sale of 391 Orange. Then what is the overall profit percentage made by him?
0%

1%

2%

4%

None of these

Option A
A person mixes 10% water in his solution but he is not satisfied with it so he again mixes 10% more water in the previous mixture. What is the profit percentage of person if he sells it at cost price?
25%

21%

15%

20%

None of these

Option B
Let Initial quantity= 100 litre
After mixing 10% water, Quantity of mixture =110 * 110 / 100 =121 litre
CP of 1 litre of Solution = Rs.1
Total CP = Rs.100
Total SP = Rs.121
Profit = 121 – 100 = 21%
A person bought chocolates at 27 for a rupee. How much must be sold for a rupee so as to gain 50%?
Rs 10

Rs 14

Rs 18

Rs 15

None of these

Option C
By selling 8 materials, a shopkeeper makes a loss equal to the cost price of 4 materials. Find loss%?
50%

40%

45%

55%

None of these

Option A
C.P of 8 materials – S.P of 8 materials= C.P of 4 materials
C.P of 4 materials = S.P of 8 materials
Profit% = (8 – 4)/8 * 100 = 50%
Ramesh marks his goods at Rs 2,000. Now after allowing a discount of 25%, he gains 50%. Find the cost price of the article?
Rs 1000

Rs 1200

Rs 1500

Rs 1800

Rs 2500

Option A
Akansha bought an watch at 20% discount on its original price. She sold it with 40% increase on the price she bought it. The new sale price is by what percent more than the original price?
9%

12%

10%

15%

None of these

Option B
40 + (-20) + (40)(-20)/100 =12%

08

30Jul, 2020

Quantitative Aptitude: Boats and Streams Questions Set 7

A boat running downstream covers a distance of 36 km in 4 hrs and for covering the same distance upstream it takes 9 hrs. What is the speed of the stream?
2.5 km/hr

3 km/hr

4.5 km/hr

5 km/hr

None of these

Option A
Downstream speed = 36/4 = 9 km/hr
Upstream speed = 36/9 = 4 km/hr
So, speed of stream = 1/2*(9-4)=2.5 km/hr
It takes 5 times as long to row a distance against the stream as to row the same distance in favor of stream. What is the ratio of the speed of the boat in still water to that of stream?
7:5

3:2

2:5

1:6

None of these

Option B
B = [t1u + t1d] / [t1u – t1d] * R
So,B =[5x + x] / [5x- x] * R
So B/R = 6/4 = 3:2
Rakesh rows to a place 40 km distant and back in total of 18 hours. He finds that he can row 5 km with the stream in same time as 4 km against the stream. What is the speed of boat in still water?
3.0 km/hr

4.5 km/hr

4.5 km/hr

6 km/hr

5 km/hr

Option C
Suppose he moves 5 km downstream in t hours
Then, downstream speed a= 5/t km/hr
Speed upstream speed b = 4/t km/hr
40 / (5 /t) + 40 / (4/t) = 18
8t + 10t = 18
t = 1
a = 5 km/hr, b = 4 km/hr
speed of boat = ½ (5 + 4 ) =4.5 km/hr
If Neelaksh can swim downstream at 6 kmph and upstream at 2 kmph.What is his speed in still water ?
9 km/hr

7 km/hr

5 km/hr

4 km/hr

None of these

Option D
Speed downstream a = 6 kmph
Speed upstream b = 2kmph
Speed in still water = ½ (a+b) kmph
= ½ (6+2) = 8/2 = 4kmph
Akansha can row upstream at 8 kmph and downstream at 12 kmph.What is the speed of the stream ?
5 km/hr

7 km/hr

8 km/hr

5 km/hr

2 km/hr

Option E
Speed of the stream = ½ (x-y) = ½ (12-8)
= 4/2 = 2 kmph
Ramesh rows to a place 48 km distant and back in 14 hours. He finds that he can row 4 km with the stream in the same time as 3 km against stream. Find the rate of the stream?
1 km/hr

3 km/hr

5 km/hr

6 km/hr

None of these

Option A
Speed of the stream = ½ (x-y) km/ hr
Speed = distance traveled / time taken
Shivani can row a boat at 10 kmph in still water. If the speed of the stream is 6 kmph, the time taken to row a distance of 80 km down the stream is ?
is
5 hours

2 hours

3 hours

4 hours

None of these

Option A
Speed in still water, ½ (a+b) = 10 km/hr
a+b = 20 km/hr…………….(1)
speed of the stream, ½ (x-y) = 6km/hr
x-y = 12 km/hr …………….(2)
(1)+(2 ) we get 2x = 32
x= 16 km/hr
speed downstream =distance traveled / time taken
time taken = 80/16 = 5 hours
Srikant can row 9 (1/3) kmph in still water and finds that it takes him thrice as much time to row up than as to row down the same distance in the river. What is speed of current ?
4 (2/3) km/hr

7 (2/3) km/hr

5 (1/3) km/hr

7 km/hr

None of these

Option A
Speed in still water = 9 (1/3) = 28/3 km/hr
i.e, ½ (x+y) = 28/3 km/hr
=½ (x+3x) = 28/3
2x = 28/3 = x = 28/ 2 x 3 = 14/3 km/hr
rate upstream = 14/3 km/hr and
rate downstream = 14/3 x 3 = 14 km/hr
speed of the current = ½ (x-x) = ½ (14 – 14/3)
= ½ (42-14/3) = 28/6 = 4 (2/3) km/hr
Vikas goes downstream 60 km and upstream 20 km, taking 4 hrs each. What is the speed of current?
8 km/hr

5 km/hr

10 km/hr

2 km/hr

4 km/hr

Option B
Downstream speed = 60/4 = 15 km/hr
Upstream speed = 20/4 = 5 km/hr
Speed of stream = (15-5)/2 = 5 km/hr
Akash rows downstream 28 km and upstream 16 km, taking 5 hrs each time. What is the velocity of current?
1.2 km/hr

1.8 km/hr

2 km/hr

1.5 km/hr

None of these

Option A

09

29Jul, 2020

Quantitative Aptitude: Problems on Ages Set 13

Rashi is as much younger than Shivani as he is older than Simran. If the sum of the ages of Shivani and Simran is 60 years, what is the difference between Shivani and Rashi’s age?
10 years

12 years

15 years

14 years

Cannot be determined

Option E
Shivani’s age – Rashis age = Rashi’s age – Simran’s age
Simran’s age + Shivani’s age = 2 Rashi’s age
Shivani’s age + Simran’s age = 60
Rashi’s age = 30;
Therefore,We can not find the difference between Shivani and Rashi’s age
Abhishek got married 6 years ago. His present age is 5/4 times his age at the time of his marriage. Abhishek’s brother was 5 years younger to him at the time of his marriage. What is the present age of Abhishek’s brother?
15 years

25 years

20 years

Cannot be determined

None of these

Option B
Present age of Abhishek = p ;
Present age of Abhishek’s sister = q ;
p = (p-6)(5/4)
p = 30
Present age of Abhishek’s brother = 30 – 5 = 25 years
Simran age is 125% of what it was ten years ago, but 250/3% of what it will be after ten years. What is the present age of Simran?
45 years

40 years

50 years

55 years

None of these

Option C
Simran’s age before 10 years = p
125p/100 = p+ 10
125p = 100p + 1000 = p = 40
Present age = p + 10 = 50 years
Mr. Shivam has three daughters namely Rinki, Akansha and Kavya. Rinki is the eldest daughter of Mr. Shivam while Kavya is the youngest one. The present ages of all three of them are square numbers. The sum of their ages after 5 years is 44. What is the age of Rinki after two years?
9 years

12 years

18 years

10 years

None of these

Option C
Square numbers =p,q,r
(p + 5) + (q + 5)+ (r + 5) = 44 years
p + q + q = 44 – 15 = 29 years
Possible values of p,q,r= 4, 9, 16 [Out of 1, 4, 9, 16, 25]
Rinki’s present age = 16;
after two years = 18 years
Fifteen years ago, Rinki’s mother was thrice of Rinki’s age and two years ago Rinki’s mother was twice of Rinki’s age. What is the present age of Rinki’s Mother ?
54 years

52 years

55 years

50 years

None of these

Option A
Three years ago, Priyal was thrice as old as his sister Rinki. After three years Priyal will be twice as old as Rinki. What is the present age of Rinki?
5 years

9 years

10 years

11 years

None of these

Option B
The average age of all the members of Mr. Ramesh s family is 25 yeara. The average age of males is 30 years while the average age of females is 20 years. If the number of females in the family is 10, then find out number of males?
10

7

12

15

9

Option A
Let the number of males = p
Total family members = 10 + p
25(10 + p) = 30p + 10*20
=250 + 25q = 30p + 200
= 5q = 50
p = 10
The average score of Virat Kohli after 48 innings is 49 and in 49th innings Virat Kohli scored 98 runs. In the 50th innings the minimum number of runs required to increase his average score by 2 than it was before 50th innings?
150

100

120

145

160

Option A
Jaya’ present age is 2/7th of his father’s present age. Jaya’ brother is three year older to Jaya. The respective ratio between present ages of Jaya’ father and Jaya’ brother is 14:5. What is the present age of Jaya?
10 years

12 years

15 years

20 years

None of these

Option B
Jaya’ father present age = x
Jaya’ age = 2/7 x
Jaya’ brother age = 2/7 x + 3
x/(2/7x + 3) = 14/5
x = 42
Jaya’ age = 2/7 x = 2/7 * 42 = 12 years
At present, the respective ratio between the ages of Akansha and Banya is 3:4 and that between Akansha and Caryl is 1:2. Six years hence, the sum of Akansha, Banya and Caryl will be 96 years. what is the present age of Akansha?
18 years

15 years

10 years

25 years

None of these

Option A
The ratio between Akansha, Banya and Caryl is = 3:4:6
The sum of present age of Akansha,Banya and Caryl = 96 – 18 = 78
13 x = 78
x = 6
Present age of Akansha = 3x = 18 years

10

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