Quant Quiz

Quant Quiz

1. A man sells an article at a gain of 20%. If he had bought it at 20% less and sold it for Rs.264 less,

 he would have still gained 20%. The cost price of the article is:

(1) Rs.2400

(2) Rs.1100

(3) Rs.2640

(4) Rs.2635

(5) None of these

2. The compound interest on a certain sum for 2 years at 20% per annum is Rs. 880. 

The simple interest on the same sum for double the time at half the rate percent per annum is:

(1) Rs. 800

(2) Rs.1000

(3) Rs. 1200

(4) Rs. 1600

(5) None of these

3. Raman‘s monthly expenses is six time Ratan‘s monthly expenses. 

Ratan‘s monthly expenses is thirty percent more than Govind’s monthly expenses.

 Govind‘s monthly expenses is Rs. 64000 /. What is Raman’s Annual Expenses?

(1) 83,200/-

(2) 9, 98,400/-

(3) 4, 99,200/-

(4) 104,400/-

(5) None of these

4. In a school Teachers are 5200, out of which 45 percent are males and 70 percent of the males are either 30 years or older.

 How many males Teachers in School who are younger than 30 years?

(1) 805

(2) 702

(3) 600

(4) 700

(5) None of these

5. Suraj bought 40 book, 16 packets of pencils, 12 pack water colours and 14 copies. 

The price of one book is Rs.14/-, one packet of pencils is Rs. 44/- , 

one packet of water colour is 300/-and one copy is Rs 28/- more than the combined price of one book and one packet of pencils.

 How much amount did Suraj pay to the shopkeeper?

(1) Rs. 6982/-

(2) Rs.3452/-

(3) Rs.6334/-

(4) Rs.6012/-

(5) None of these

Directions (6-8): What approximate value will come in place of question-mark (?) in the following questions?

6. 226·007 + 258·982 + 274·98 – 420·003 – 22·969 = ?

(1) 272                         

(2) 242                 

(3) 260

(4) 317                         

(5) 365

7. 27% of 406 + 22% of 1125 = ?

(1) 440                         

(2) 466                 

(3) 334

(4) 358                         

(5) 318

8. (4.5)² * 130.42 + 11.05 * 54.85 = ?

(1) 3120                      

(2) 3240              

(3) 3850

(4) 3660                      

(5) None of these

Directions (9-10): Find out the wrong number in the following number series.

9. 110, 156, 210, 272, 342, 424

(1) 424                         

(2) 210                 

(3) 272

(4) 342                         

(5) None of these

10. 35, 110, 335, 1710, 1285, 1910

(1) 110                         

(2) 335                 

(3) 710

(4) 1285                      

(5) None of these

11. 15, 42, 167, 512, 1239, 2570, 4767

(1) 42                            

(2) 167                 

(3) 512

(4) 1239                      

(5) None of these

ANSWERS

1.  (2) 

Let CP = a,   SP = 1.2 a

New CP = 0.8 a

New SP = 1.2 × 0.8 a = 0.96 a

                 1.2a – 0.96a = 264

                 0.24a = 264

                 a = 1100

2.  (1) 

Let Principal = P

Compound interest at 20% per annum for 2 years      

= 44% of P  (20 + 20 + 4)

44% of P = 880

P = 2000

Simple Interest for 4 years at 10% per annum  = 40% of 2000 = 800

3.  (5)

Govind’s monthly expanses = 64000

Ratan’s monthly expenses = 64000 + 30% of 64000

= 83,200

Raman’s monthly expenses = 6 × 83,200 = 4, 99,200

Raman’s annual expenses = 59, 90,400

4.  (2)

Total number of teachers in school = 5200

Number of male teachers = 45% of 5200 = 2340

Number of male teachers who are less than 30 years =  

30% of 2340 = 702

5.  (5)

Required amount = 40 × 14 + 16 × 44 + 12 × 300 + 14 ×   (14 + 44 + 28)

6. (4) 

7. (4)

8. (2)

9. (1)

10. (4)
11. (3)

Quantitative Aptitude

Quant Quiz For SBI PO 2015 (Previous Papers)

1.A bakery bakes cake with expectation that it will earn a profit of 40% by selling each cake at marked price.

 But during the delivery to showroom 16% of the cakes were completely damaged and hence could not be sold. 

24% of the cakes were slightly damaged and hence could be sold at 80% of the cost price. The remaining 60% of the cakes were sold at marked price. 

What is the percentage profit in the whole consignment? 

1) 3.2

2) 2.4

3) 2.8

4) 4.2

5) 3.6

2. A professional institute’s total expenditure on stdents for a particular course is partly fixed and partly varies linearly with the number of students. 

The average expense per student is Rs. 615 when there are 24 students and Rs. 465 when there are 40 students. What is the average expense when there are 60 students? 

1) Rs. 370

2) Rs. 450

3) Rs. 350

4) Rs. 420

5) Rs. 390

3. The ratio of the present ages of A and B is 7 : 9. Six years ago the ratio of 1/3 of A’s age at that time and 1/3 of B’s age at that time 1 : 2.

 What will be the ratio of A’s to B’s age 6 years from now? 

1) 4 : 5

2) 14 : 15

3) 6 : 7

4) 18 : 25

5) 22 : 25

4. A, B and C have to type 506 pages to finish an assignment. A can type a page in 12 minutes, B in 15 minutes and C in 24 minutes. 

If they divide the task into three parts so that all three of them spend equal amount of time in typing, what is the number of pages that B should type? 

1) 172

2) 176

3) 154

4) 168

5) 164

5.A seller uses 920 gm in place of one kg to sell his goods. When he sells his article at 15% gain on cost price, the actual percentage of profit is: 

1)25

2)30

3)20

4)15
5)16

Directions (6-10): Each of the questions below consists of a question and two statements numbered I and II given below it. 

You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and answer the given Question.

Give answer (1) if the data in statement I alone are sufficient to answer the question, while the data in statement It alone are not sufficient to answer the question.

Give answer (2) if the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.

Give answer (3) if the data either in statement I alone or in statement II alone are sufficient to answer the question.

Give answer (4) if the data given in both the statements I and II together are not sufficient to answer the question and

Give answer (5) if the data in both the statements I and II together are necessary to answer the question. 

6. What is the base of a triangle PQR with PQ as base? 

I. Height and base of the triangle are in the ratio of 3 : 4

II. The area of the triangle is 48 cm^2, perimeter 36 cm and height 2/3 of the perimeter.

7. What is the speed of the train? 

I. A train crosses another train coming from opposite direction at the speed of 45 kmph in 20 seconds.

II. The train crosses another train running in the same direction at the speed of 42 kmph in 1 minute 18 seconds.

8.What is the rate of interest pcpa? 

I. An amount invested on simple interest becomes four times in 24 years.

II. The difference between compound interest and simple interest for two years on an amount of Rs. 10000 at that rate is Rs. 156.25

9. What is the total strength of institute X? 

I. Out of the total strength of Institute X, 35% are females and rest are males. The number of females in Institute X is equal to the number of males in Institute Y.

II. Out of the total strength of Institute Y, the no. of males is 560, which is 28% of the total strength.

10.What is the cost of fencing a rectangular plot along all four sides @ Rs. 450 per meter? 

I. The area of the plot is 1458m^2, which is 54 times the numerical value of its breadth.

II. The length of the plot is 200% of its breadth and the breadth is 50% of its length.

Answers with Explanation:

1.(1) Let total no’s of cake = 100

& CP of each coke = 1 Rs.

MP of each coke = 1.4

SP of 24% coke = 24 * 0.8 = 19.2

SP of 60% coke = 60 * 1.4 = 84

Total SP = 84 + 19.2 = 103.2

Profit = 103.2 – 100

Profit = 3.2%

2.(5) Let partially  fixed expenditure be x & partially varying be y

x + 24 y = 615 * 24 …. (i)

x + 40y = 465 * 40 …. (ii)

from Eq. (i) & (ii)

y = 240 & x = 9000

required average = (9000+240*60)/60 = 390

3.(3) Let present age of A’s = 7x & B’s = 9x

So,(7x-6)/(9x-6) = 1*3/2*3

x = 6/5

ratio after 6 years

(7 * 6/5 + 6) /( 9 * 6/5 + 6) = 6 : 7

4.(2) Ratio of their efficiency

A : B : C = 1/12 : 1/15 : 1/24

= 10 : 8 : 5

So, required pages= 8*506/23 = 176

5.(1) Let CP = 100

& CP = 115

But he also uses 920 gm in place of 1kg

Also earn = 8% profit

Now actual CP = 100 – 8 = 92

Total profit % = (8+15)/92 * 100 = 25%

6.(2)

7.(4)

8.(3)

9.(5)

10.(1)

Quantitative Aptitude

1.A fan in a shop is offered at a discount of 10%. It is sold during clearance sale at 6% discount over the already discounted price at Rs. 846/- . The original marked price of the fan is:
(a) Rs. 850/-
(b) Rs. 896/-
(c) Rs. 900/-
(d) Rs. 946/-
(e)Rs. 1000/-


2.A trader allows a trade discount of 20% and a cash discount of 25/4% on the marked price of the goods and gets a net gain 20% of the cost. By how much above the cost should the goods be marked for sale?
(a) 60%
(b) 70%
(c) 40%
(d) 50%
(e)none of these

3.A discount series of 10%, 20% and 40% is equal to a single discount of :
(a) 70%
(b) 43.20%
(c) 56.80%
(d) 50%
(e)none of these

4.Tarun bought a T.V. with 20% discount on the labeled price. Had he bought it with 25% discount, he would have saved Rs. 500/-. At what price did he buy the T.V.?
(a) Rs. 8, 000/- 
(b) Rs. 7, 400/- 
(c) Rs. 7, 500/- 
(d) Rs. 8, 500/- 
(e)none of these

5.Two vessels contain milk and water in the ratio 3 : 2 and 7 : 3. Find the ratio in which the contents of the two vessels have to be mixed to get a new mixture in which he ratio of milk and water is 2:1.
(a) 4:1
(b) 1:4
(c) 2:1
(d) 1:2
(e)none of these

6.The students in three classes are in the ratio 4 : 6 : 9. If 12 students are increased in each class, the ratio changes to 7 : 9 : 12. Then the total number of students in the three classes before the increase is:
(a)100
(b)114
(c)95
(d)76
(e)none of these

7.Of the adult population in a certain city, 45% of men and 25% of women are married. Assuming that no man marries more than one woman, and vice versa, the percentage of total population of adults who are married, is:
(a) 31.1
(b) 30
(c) 33.33
(d) 32.14
(e)none of these

8.A garrison is provided with ration for 72 soldiers to last for 54 days. Find how long would the same amount of food last for 90 soldiers, if he individual ration is reduced by 10?
(a) 54 days
(b) 126 days
(c) 48 days
(d) 72 days
(e)none of these

9.In an examination paper of five question, 5% of the conditions answered all of them and 5% answered none. Of the rest, 25% candidates answered only one question and 20% answered 4 questions. If 396 candidates answered either 2 questions or 3 questions, the number of candidates that appeared for the examination was:
(a) 850
(b) 900
(c) 800
(d) 1,000
(e)none of these

10. In a test, A scored 10% more than B and B scored 5% more than C. If  C scored 300 marks out of 400, then A’s marks are:
(a) 350
(b) 360
(c) 310
(d) 325
(e)none of these

Answers with Explantion

1.(e) SP before 6% discount = 846 * 100/94
So, original MP = 846 x 100/94 * 100/90 = 1000

2.(a) Let CP = 100
Profit = 20%
S.P = 120
M.P = 120 * 100/80 * 100/(100-25/4) = 160

3.(c) Single discount from 1st two discount 
= 10 + 20 – (10*20/100) = 28
So, final discount = 28 + 40 – (28*40/100)
= 56.8%

4.(a)Given  5% = 500
1% = 100
100% = 10000
Required price = 10000 * 80/100 = 8000

5.(d) 

1  :  2

6.(d) Since  3 = 12
1 = 4
(4+6+3) = 19 * 4 = 76

7.(d) Let no 9 men = x & total population be 100
Total women = (100-x) 
Married man = 45x /100  … (i) 
& married women = 25/100 (100-x)  … (ii)
From (i) & (ii) 
x = 500/14
So, married man = 225 /14
Married woman = 225/14
Total married population = men + women = 450/14
Required % = (450/14)/100 *100 = 450/14% = 32.14%

8.(c) Let required day = x 
54 x 72 = 90 * x * 90/100
x = 48

9. (c) Let total no of candidates = 1000
So, 1000 – (50 +50+900*1/4+900*1/5) = 396
495 = 396
1000 = 396/495 * 1000 = 800

10.(b)  Given, C's marks= 300
C's % marks = 300*100/400=75%
B 's% marks = 80%
A 's% marks =90%
A 's marks = 90% of 400
= 360

Quant Quiz

Quant Quiz 

1.Water is flowing at the rate of 5 km/h through a pipe of diameter 14 cm into a rectangular tank which is 50 m long. 44 m wide.

 The time taken, in hours, for the rise in the level of water in the tank to be 7 cm is
(a)2
(b)1.5
(c)6
(d)2.5
(e)none of these

2.A boat travels 24 km upstream in 6 hours and 20 km downstream in 4 hours. 

Then the speed of boat in still water and the speed of water current are respectively 
(a) 4 kmph and 3 kmph  
(b) 4.5 kmph and 0.5 kmph 
(c) 4 kmph and 2 kmph 
(d) 5 kmph and 2 kmph
(e) none of these

3.A boy can swim in still water at a speed of 10 km/hr. If the speed of the current would have been 5 km/hr, then the boy could swim 60 km. 
(a) upstream in 4 hours
(b) downstream in 12 hours
(c) upstream in 6 hours
(d) downstream in 4 hours
(e) none of these

4.The ratio of the first and second class fares between two railway stations is 4 : 1

 and that of the number of passengers traveling by first and second classes is 1 : 40.

 If on a day Rs. 1100 are collected as total fare, the amount collected form the first class passengers is 
(a) Rs.315
(b) Rs.315
(c) Rs.137.50
(d) Rs.100
(e) none of these

5.A and B started a business with initial investments in the ratio 14 : 15 and their annual profits were in the ratio 7 : 6. 

If A invested the money for 10 months, and B invested his money for x months, then the value of x is 
(a) 6 
(b) 7 
(c) 8 
(d) 9
(e) none of these

6.A person took a loan of Rs. 6000 for 3 years, at 5% per annum -

compound interest. He repaid Rs. 2100 in each of the first 2 years.

 The amount he should pay at the end of 3rd year to clear all his debts is 
(a) Rs.2425.50
(b) Rs.2552.50 
(c) Rs.2635.50 
(d) Rs. 2745.50
(e) none of these

7.If a sum of money placed at compound interest, compounded annually, 

doubles itself in 5 years, then the same amount of money will be 8 times of itself in. 
(a) 25 years 
(b) 20 years 
(c) 15 years 
(d) 10 years
(e) none of these

8.A man buys three houses, the second one at twice the price of the first -

and the third one at twice the price of the second. He manages to sell the first and the second -

both at a profit of 20% but incurs a loss of 10% over selling the third. Overall, he has profit or loss%.
(a)got a profit less than 3% 
(b) incurred a loss of 3%
(c)got a profit more than 3% 
(d) incurred a loss less than 3%
(e) none of these

9.A man buys two chairs for a total cost of Rs. 900. By selling one for 4/5 of its cost and the other for 5/4 of its cost,

 he makes a profit of Rs. 90 on the whole transaction. The cost of the lower priced chair is 
(a) Rs. 360 
(b) Rs. 400 
(c) Rs. 420 
(d) Rs. 300
(e)none of these

10.A reduction of 10% in the price of wheat enables a man to buy 50 grams of wheat more for a rupee. 

How much wheat could originally he had for a rupee? 
(a) 400 grams 
(b) 500 grams 
(c) 450 grams 
(d) 350 grams
(e) none of these

Answers With Explanation:

1.(a) Volume of water
= 5000cm  × 4400cm × 7cm = 5000 × 4400 × 7
Volume of water in one hour = 22/7X7X7X5000X100
Required Time== 5000 × 4400 × 7/(22/7X7X7X5000X100)
=2hours

2.(b) The speed downstream = 20/4=5kmph
The speed upstream = 24/6=4kmph
The speed of boat in still water  = (5+4)/2=4.5kmph
The speed of current = (5-4)/2=0.5
 The speed of boat and water current are 4.5 km/hr. and 0.5 km/hr. respectively.

3.(d) Speed downstream = 10 + 5 = 15 km/hr
Speed upstream = 10 – 5 = 5 km/hr
Time taken to swim 60 km downstream = 60/15=4hour
But time taken to swim 60 km up steam = = 60/5=12 hour

4.(d) Let the first class fare is 4x and second class fare is x Rs

.Let the no of passengers travelling by first class is y and by second class is 40y.
total fare of first class=4xy
total fare of second class=40xy
4xy+40xy=1100
xy=25
so amount collected by first class passengers=4xy=4x25=100

5(c) Let the investment of A and B are 14a and 15a
so.(14a*10)/(15a*x)=7/6
x=8 month

6.(a) Amount for first year=6000X105/100=6300
After repaid 2100 the rest amount=6300-2100=4200
Amount for 2nd year=4200X105/100=4410
after repaid 2100 the rest amount=4410-2100=2310
amount for 3rd year=2310x105/100=2425.5

7.(c) in 5 years 2 times Let in n years 8 times=2^3 times
n=5X3=15 years

8(a)According to question
CP1=100,CP2=200 and CP3=400
SO SP1=120,SP2=220 and SP3=360
Total CP=100+200+400=700
total SP=120+220+360=720
Profit=720-700=20
Profit%=20X100/700=2.85%

9.(d) Let CP of first chair =x
CP of 2nd chair=900-x
so,SP of 1st chair=4x/5
and SP of 2nd chair=(900-X)5/4
Profit=SP-Cp
90=4x/5+(900-X)5/4-900
X=300
1st chair CP=300 and 2nd chair=600

10(c).New price of 50 gm=100*10/100=10 paise
so, new Price of 500 gm=100 paise

The wheat for 1Rs originally=500*90/100=450 grams

Data Interpretation

Directions(Q1-5): Study the following data carefully and answer the questions given below.

Out of total number of commuters commuting daily in a city 17171 commuters commute only by trains daily. 7359 commuters commute only by bikes and 22077 commuters commute only by bus. 14718 commuters commute only by their private cars and 4906 commuters commute only by autos. 7359 commuters commute only by taxis. 26983 commuters commute only by bus as well as trains. Daily 9812 commuters commute by autos as well as trains daily. 12265 commuters commute by bus as well as autos daily.

Q1. The total number of commuters commuting by trains form, what per cent of the total number of commuters commuting daily?

(a) 22

(b) 44

(c) 14

(d) 36

(e) None of these 

Q2. The total number of commuters commuting by autos form, what per cent of the total number of commuters commuting daily?

(a) 10 

(b) 18

(c) 22

(d) 4

(e) None of these 

Q3. The total number of commuters commuting by bikes and taxis together form, what per cent of the total number of commuters commuting daily?

(a) 12

(b) 6

(c) 8

(d) 16

(e) None of these 

Q4. What is the difference between the total number of commuters commuting by bus to the total number of commuters commuting by auto?

(a) 26993

(b) 25983

(c) 26988

(d) 26983

(e) None of these 

Q5. The total number of commuters commuting by private car only is what per cent more/less than the total number of commuters commuting auto only?

(a) 100%

(b) 150%

(c) 175%

(d) 90%

(e) 200% 

Directions (6-10): Seven companies A, B, C, D, E, F and G are engaged in production of two items I and II.

The comparative data about production of these items by the seven companies is given in the following graph and the table. Study them carefully and answer the questions given below.

Cost of the total production (both items together) by seven companies = 25 crores

6. What is the total cost of the production of item I by companies A and C together in crore?

(a) 9.25 

(b) 5.9

(c) 4.1625 

(d) 4.9

(e) None of these 

7. Cost of production of item I by company F is what percent of the cost of production of item II by company D?

(a) 16% 

(b) 33.33%

(c) 66.67% 

(d) 12.5%

(e) None of these 

8. What is total profit earned by company ‘G’ for items I and II together?

(a) 78 lakhs 

(b) 1.62 crores

(c) 7.8 crores 

(d) 16.2 lakhs

(e) None of these 

9. What is the ratio of cost of production of item I by company A to the cost of production of item I by company ‘D’?

(a) 3 : 5 

(b) 1 : 2

(c) 2 : 1 

(d) 2 : 3

(e) None of these

10. What is the total of the profit earned by company B on production of item I and the profit earned by company A on production of item II?

(a) 3.68 crores 

(b) 2.778 lakhs

(c) 27.78 lakhs 

(d) 2.778 crores

(e) None of these