Simplifications Most Important Questions With Explanation

1. The price of 80 apples is equal to that of 120 oranges. The price of 60 apples and 75 oranges together is Rs.1320. The total price of 25 apples and 40 oranges is

A. Rs. 660

B. Rs. 620

C. Rs. 820

D. Rs. 780

2. The price of 24 apples is equal to that of 28 oranges. The price of 45 apples and 60 oranges together is Rs.1350. The total price of 30 apples and 40 oranges is

A. Rs.920

B. Rs.940

C. Rs.880

D. Rs.900

3. There are two buildings P and Q. If 15 persons are sent from P to Q, then the number of persons in each building is the same. If 20 persons are sent from Q to P, then the number of persons in P is double the number of persons in Q. How many persons are there in building P?

A. 80

B. 140

C. 120

D. 90

4. The price of 3 tables and 4 chairs is Rs. 3300. With the same money one can buy 2 tables and 10 chairs. If one wants to buy 1 table and 1 chair, how much does he need to pay?

A. Rs.940

B. Rs.1050

C. Rs.1040

D. Rs.950

5. There are 6 working days in a regular week and for each day, the working hours are 10. A man earns Rs. 2.10 per hour for regular work and Rs. 4.20 per hour for overtime. If he earns Rs.525 in 4 weeks, how many hours did he work?

A. 245

B. 285

C. 275

D. 255

6. A man has some hens and cows. If the number of heads be 48 and the number of feet equals 140, then the number of hens will be

A. 22

B. 24

C. 26

D. 20

7. A sum of Rs.2200 has been divided among A, B and C such that A gets 1/4 of what B gets and B gets 1/5 of what C gets. What is B's share?

A. Rs.341

B. Rs.364

C. Rs.372

D. Rs.352

8. A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 27 times, A has killed:

A. 30 birds

B. 22 birds

C. 18 birds

D. 38 birds

9. If p - q = 6 and p2 + q2 = 116, what is the value of pq?

A. 30

B. 40

C. 20

D. 50

10. John gets on the elevator at the 14th floor of a building and rides up at the rate of 84 floors per minute. At the same time, Vinod gets on an elevator at the 58th floor of the same building and rides down at the rate of 92 floors per minute. If they continue travelling at these rates, then at which floor will their paths cross?

A. 38

B. 36

C. 32

D. 35