Quant Quiz for SBI PO

1.Monica, Veronica and Rachat begin to jog around a circular stadium. They complete their revolutions in 42 s, 56 s and 63 s, respectively. After how many seconds will they be together at the starting point?

(a) 366

(b) 252

(c) 504

(d) Couldn’t be determined 

(e) None of the above 

2.Find the side of the largest possible square slabs which can be paved on the floor of a room 2m 50cm long and 1m 50 cm broad. Also find the number of such slabs to pave the floor.

(a) 25cm, 20

(b) 30cm, 15

(c) 50cm, 15

(d) 55cm, 10 

(e) None of the above  

3.If the numerator of a fraction is increased by 200% and the denominator of the fraction is increased by 150%, the resultant fraction is 9/35. What is the original fraction?

(a) 3/10

(b) 2/15

(c) 3/16

(d) 2/7

(e) None of the above 

4.A, B, C and D purchase a gift worth Rs.60. A pays ½ of what others are paying, B pays 1/3rd of what others are paying and C pays 1/4th of what others are paying. What is the amount paid by D?

(a) 14

(b) 15

(c) 16

(d) 13

(e) None of the above

5.It is required to get 40% marks to qualify an exam. A candidate scored 200 marks and failed by 8 marks. What were the maximum marks of that exam?

(a) 520

(b) 540

(c) 502

(d) Couldn’t be determined 

(e) None of the above 

6.In a park, there are some cows and some ducks. If total number of heads in the park are 68 and number of their legs together is 198, then find the number of ducks in the park.

(a)31

(b)37

(c)59

(d)41

(e) None of the above

7.The difference between a two-digit number and the number obtained by interchanging the two digits of the number is 18. The sum of the two digits of the number is 12. What is the product of the digits of two-digit number?

(a) 35

(b) 27

(c) 32

(d) Couldn’t be determined 

(e) None of the above 

8.If a class, there are 75 students and their average marks in the annual examination is 35. If the average marks of passed students is 55 and average marks of failed students is 30, then find out the number of students who failed. 

(a)15

(b)30

(c)55

(d)60

(e) None of the above

9.A candidate scores 25% and fails by 60 marks, while an another candidate who scores 50% marks, gets 40 marks more than the minimum required marks to pass the examination. Find the maximum marks for the examination.

(a)400

(b)450

(c)500

(d)350

(e) None of the above

10.The price of rice decreases by 6.25% and because of this reduction, Vandana is able to buy 1 kg more for Rs. 120. Find the reduced rate of rice.

(a) Rs. 7.50 per kg

(b) Rs. 9 per kg

(c) Rs. 5.50 per kg

(d) Rs. 19 per kg

(e) None of the above

The way of find Cube roots using approximation method

I find cube roots using approximation method. For example, 10x10x10=1000; 20x20x20=8000. Therefore, any number between 1000 and 8000 will have cube root between 10 and 20. 

Cube root of 15000 is 10 times cube root of 15 (15x1000)

In general, split the given number in three-digits parts from the right-end.

Take the first part from the left-end. Find the cube root of that number. That gives the first cue to the answer. Then take the next three digits. Look at the unit digit. Cube numbers always end in 1, 8, 7, 4, 5, 6, 3, 2, 9 or 0. The unit digit of the required number is 1, 2, 3, 4, 5, 6, 7, 8, 9, 0 respectively.

This method is very useful for Banking recruitment tests.

Examples:

Perfect cubes:

Find the cube root of 29,791.

Now the first part is 29; the cube root of 27 is 3; therefore, the ten's digit is 3. Remember that you can't take 4 because the cube of 4 is 64, which is greater than 29.

As far the unit digit, it can only be 1. So the number is 31.

Find the cube root of 314,432.

The first part is 314; the cube of just below this number is 216 and its cube root is 6. Therefore, the ten's digit is 6. Now the next part is 432, whose unit digit is 2. Therefore, the unit digit of our required number is 8. So the number is 68.

Cube root of any number:

Find the cube root of 30, 000.

We know this number is not a perfect cube. So our answer will be in decimal.

It can be written as 1000*30; cube root of 1000 is 10. So cube root of the number is 10 times cube root of 30. 30 = 27+3 or 27(1+1/9); cube root of 27 is 3 and cube root of (1+1/9) is (1+1/27) approx or 1.037; therefore, 30*1.037 = 31.11 approx

Quant Quiz For Banking Exam , SBI Exam and NABARD Exam

1.  If the price of diesel is increased by 30%, by what percentage should the consumption be decreased by the consumer, if the expenditure on diesel remains unchanged?

16(2/3)%

6(2/3)%

15%

18%

None of these

2. If Amit’s income is 5/6th of Brijesh’s income, then Brijesh’s income is more than Amit’s income by 

10%

15%

20%

25%

30%

3. A lady losses 20% of her money. After spending 50% of the remainder, she has Rs. 480 left. What is the amount of money she originally had?

Rs. 700

Rs. 820

Rs. 1200

Rs. 1240

None of these

4. A student scores 20% and fails by 50 marks in Maths exam, while another one who scores 40% marks, gets 50 marks more than the minimum required marks to pass Maths exam. Find the maximum marks for the Maths exam. 

500

450

400

350

300

5. A mechanic was asked to measure the length and breadth of a car’s bonnet. By mistake, he measured the length 10% more and the breadth 20% less. If the bonnet’s original area is 200 sq cm, then find the area after this measurement?

172 sq cm

173 sq cm

174 sq cm

175 sq cm

176 sq cm

6. Last year, there were 610 men in a factory. The number decreased by 20% this year. How many women are there in the factory, if the number of women is 200% of the total number of men in the factory this year?

878

848

948

967

None of the above

7. 1 L of water is added to 5 L of spirit and water solution containing 40% spirit strength. The strength of spirit in the new solution will be

32%

33(1/3)%

33(2/3)%

34%

35%

8. In an entrance test, Raj got 112 marks which was 32 more than the passing marks. Somesh got 75% marks which was 70 more than the passing marks. What is the minimum passing percentage of the entrance test?

35%

38%

40%

45%

50%

9. Ramu sells his goods 25% cheaper than Shivraj and 25% dearer than Harish. How much percentage is Harish’s goods cheaper than Shivraj?

25

35

40

50

55

10. Fresh grapes contain 80% water, while dry grapes contain 10% water. If the weight of dry grapes is 600 kg, then what is its total weight when it is fresh?

2400 kg

2500 kg

2600 kg

2700 kg

None of the above

Quant Quiz for Practice

Quantitative Aptitude For SSC Tier_2 and SSC CHSL Exam

1. A stock of food grain is enough for 500 persons for 8 weeks. How long will the same stock last for 400 persons?

(a) 9 weeks

(b) 10 weeks

(c) 15 weeks

(d) 20 weeks

2. If the marked price of an item is 1.5 times its cost price and it is sold at 10% loss, then the percentage of discount is

(a) 10%

(b) 20%

(c) 30%

(d) 40%

3.  The prices of two articles are as 3 : 4. If the price of the first article be increased by 10% and that of the second by Rs. 4, the original ratio remains the same. The original price (in Rs.) of the second article is

(a) 10

(b) 30

(c) 50 

(d) 40

4. The monthly incomes of P and Q are as 5 : 6 and the monthly expenditures are as 4 : 5. If both of them save Rs. 500 every month, the monthly income of P (in Rs.) is

(a) 2,400

(b) 2,800

(c) 3,000

(d) 2,500

5. Two bags contain marbles in the ratio of 3 : 4. If 4 marbles are transferred from the second bag to the first, the number of marbles in the two bags becomes equal. The number of marbles in each bag is

(a) 12 and 16

(b) 24 and 32

(c) 15 and 20

(d) 18 and 24

6. In a mixture of 25 litres, the ratio of two liquids A and B is 4 : 1. If 2 litres of liquid A and 3 litres of liquid B are added to it what is the new ratio of A and B?

(a) 11 : 4

(b) 4 : 11

(c) 9 : 4

(d) 4 : 9

7. Two vessels  A and B contain milk and water in the ratio of 5 : 3 and 2 : 3. When these mixture are mixed to form a new mixture containing half milk and half water, they must be take in the ratio of

(a) 2 : 5

(b) 3 : 5

(c) 4 : 5

(d) 7 : 3

8. The mean temperature of Monday to Wednesday was 37°C.and of Tuesday to Thursday was 34°C. If the temperature on Thursday was 4/5th that of Monday, the temperature on Thursday was

(a) 36°C

(b) 35.5°C

(c) 36.5°C

(d) 35°C

9. A man had 5 children, When their average age was 10 years, the child who was of 5 years of age died. What was the average age (in years) of the surviving children 4 years after the death of the child?

(a) 15 1/4

(b) 14 3/4

(c) 15

(d) 14

10. In nine numbers the average of the first five numbers is 5 and that of the last five numbers is also 5. If the average of these nine number is 4, the fifth number is

(a) 9

(b) 11

(c) 4 

(d) 14

ANSWERS AND SOLUTIONS:
1- (b)
M1D1 = M2D2
500*8 = 400*D2
D2 = 10 days
2- (d)
Let cost price = Rs.100
Marked price = Rs.(100*1.5) = 150
Selling price = (100*90/100) = 90
Discount offered = (150-90)/150 * 100 = 40%
3- (d)
4- (d)
5- (b)
6- (a)
Liquid of A in original mixture = 4/5*25 = 20 litres
Liquid of B in original mixture = 1/5*25 = 5 litres
Required ratio = (20+2) : (5+3) = 11:4
7- (c)
8- (a)
9- (a)
ATQ,
Average Age = ((5*10-5)+4*4)/4 = 15 (1/4) years
10- (d)
ATQ,
Fifth number=(5*5)+(5+5)-9*4 = 14