Quantitative Aptitude For IBPS Clerk Mains: 17th January 2019

Q1. Sandy arrive at his school 5 minutes late if he walks with a speed of 4 km./h, but he arrives 10 minutes before the scheduled time if he walks with a speed of 5 km/h. The distance of his school from his house (in km) is ?

Solution:

Q2. Ram can swim from a point A against a current for 5 minutes and then swims backwards with the current for next 5 minutes and comes to the point B. If AB is 100 metres, the speed of the current (in km per hour) is:

Solution:

Q3. The length of one side of a quadrilateral, which have all side equal but none of the angle is right angle, is 6.5 cm and its altitude is 10 cm. If the length of one of its diagonals be 26 cm, the length of the other diagonal will be:

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Q4. The expenses on clothes, electricity and fuel of a family are in the ratio 12 : 17 : 3. The expenditure on these is increased by 20%, 30% and 50%, respectively. The total expenses of family on these increased by

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Q5. A bag contains 6 red balls, 11 yellow balls and 5 pink balls. If two balls are drawn at random from the bag without replacement one after another, what is the probability that first ball is red and the second ball is yellow?

Solution:

Directions (6-10): Refer to the table given below and answer the given questions. 


Table shows the 5 villages and total population and percentage of males, females and transgenders in each village in year 2000. Some data are missing, find the missing data to answer the given questions.

Q6. If the ratio of population of females and transgenders in village P in year 2000 is 3 : 7. And females in village P in year 2001 is increased by 20% from that of year 2000. Then find the total number of males and transgenders in village P in year 2001 so that overall population in year 2001 is same as in year 2000?

Solution:

Q7. If number of transgenders in village R in year 2000 is 180. And ratio of males and females in village S in year 2000 is 1:2. Then find the difference of males in village R and village S?

Solution:

Q8. If total population of village Q and village R together in year 2000 is 25% more than the total population of village P in year 2000. And ratio of total population of village Q and village R in year 2000 is 2 : 3. Then find the ratio of males in village Q to transgenders in village R in year 2000?

Solution:

Q9. If ratio of males of village S in year 2000 to the females in village P in year 2000 is 2 : 5 and population of transgenders in village P is increased by 20% in year 2001 from year 2000. Then find the total population of transgenders in year 2001 in village P?

Q10. If ratio of total population of village R to village T in year 2000 is 5: 4. Then number of males in village T in year 2000 is approximately what percent more or less than the number of transgenders in village R in year 2000?

Solution:

Directions (11-15): In each of these questions, two equations numbered I and II are given. You have to solve both the equation and give answer 


Q11. I. x² + 13x + 42 = 0 
II. y² + 19y + 90 = 0

Solution:

Q12. I. x²+15x+56=0 
II. y²-23y+132=0

Solution:

Q13. I. x²+7x+12=0 
II. y²+6y+8=0

Solution:

Q14. I. x²-22x+120=0 
II. y²-26y+168=0

Solution:

Q15. I. x²+12x+32=0 
II. y²+17y+72=0

Solution:

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