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Simplification Problems
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Simplification Problems
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25 Questions

1. How many
s are there in ?
2. 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 Rs.
3. 20 + 20 × 2 =?
4. Simplify the following equation.
5. 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?
6. If a – b = 6 and a2 + b2 = 116, then what is the value of ab?
7. What fraction of 3/5 needs to be added to itself to become 21/4
8. 38% of 7500 +? % of 375 = 50% of 6000.
9. boy was asked to multiply a number by 22. He instead multiplied the number by 44 and got the answer 308 more than the correct answer. What was the number to be multiplied?
10. If 2 tables and 3 chairs cost Rs, 3500 and 3 tables and 2 chairs cost Rs. 4000, then how much does a table cost?
11. × 5/5 =?
12. [2 – 3 {4 – (5 × 6 – 7 + 8)}] =?
13. 48 of 24 × 12 [16 + 8 – 3 of (5 + 3)] is =
14. 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?
15. How many
are there in ?
16. 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?
17. 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 Rs.
18. If the number of boys in a class is 8 times the number of girls, which value can never be the total number of students?
19. (723 + 1992)2 – (723 – 1992)2 – 2912 × 1992 =?
20. 213 + 312 + 414 =? – 63
21. Eight people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increases by:
22. One-third of Rahul’s savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 1, 80, 000 as total savings, how much has he saved in Public Provident Fund?
23. If 3x + 7 = x2 + p = 7x + 5, what is the value of P?
24. a– [b – (a + b) – {b – (b – a + b)} + 2a] =?
25. In a garden, 26 trees are planted at equal distances along a yard 300 metres long, one tree being at each end of the yard. What is the distance between two consecutive trees?