MIXED QUANT SET 1

MIXED QUANT QUESTIONS FOR BANK,SSC, PSSB EXAMS,PSPCL LDC,PSPCL JE,PUNJAB KANNONGO,PUNJAB EXCISE INSPECTOR


Q1. 12 men can complete a work in 18 days. After 5 days 6 more men joined the work. In how many days will the remaining work be completed?
Solution:

Work done by 12 men in 5 days => (12 x 18)/1 = (12 x 5)/x => x = 5/18
Remaining work = 13/18
Time taken by 12 + 6 men to do the remaining work => (12 x 18)/1 = (18 x X)/(13/18) => X = 26/3
Therefore time taken to complete the work is 8 2/3days.

Q2. A sum of money is divided among A, B, C and D in the ratio 2 : 5 : 7 : 9. If the share of C is 3250 more than the
share of A then what is the total amount of money of B and D together?
Solution:
Total share of B and D together = Rs.(5 + 9)[3250/(7 – 2)] = 14 × 3250/5 = Rs.9100

Q3. A starts a business with Rs. 30,000 and 4 months later B joins the business with Rs. 40,000. If the total profit is Rs. 5100 at the end of the year, find the share of A in the total profit?
Solution:
A : B = 30000 × 12 : 8 × 40000 = 9 : 8
17x = 5100 => x = 300
Therefore Share of A = 9x = 2700

Q4. If the cost of 12 chairs and 18 tables is Rs. 10440. Then what is the cost of 6 chairs and 9 tables?
Solution:
12C + 18T = 10440 => 2C + 3T = 10440/6 = 1740
Now multiplying both sides by 3 we get
6C + 9T = 5200

Q5. The ratio of the father's age to the son's age is 4:1 respectively. If the product of their ages is 256 years. What will be the respective ratio of their ages after 5 years?
Solution:
Let the age of father and son be 4x years and x years respectively.
According to question, 4x × x = 256 => x = 8
After 5 years, Age of father = (4×8+5) = 37 years
Son's age = (8+5) = 13 years
Therefore, Ratio = 37:13
2 Mentor for Bank Exams | Quantitative Aptitude Mixed Quiz

Q6. The average age of Nitika and Kriti is 21 years. The ratio of their ages is 4:3 respectively. What is the present age of Kriti?
Solution:
Let present age of Nitika = 4x years and present age of Kriti = 3x years
According to question, 4x + 3x = 21×2 => 7x = 42 => x = 6
Present age of Kriti = 3x = 3×6 = 18 years

Q7. The ratio of the present ages of Ram and Rahim is 4 : 5 and Ram is 12 years younger than Rahim. What will be the sum of their ages after 10 years?
Solution:
According to question Ram : Rahim = 4 : 5
Difference in ratio = 1 => 1 = 12 => 9 = 108
After 10 years the sum = 108 + 20 = 128 years

Q8. In how many different ways can the letters of the word "BOUNTY" be arranged?
Solution:
Required number of ways = 6! = 720

Q9. When a number is added to seven-ninth of thirty-five percent of 900, the resultant is 325. What is the number?
Solution: