Directions (Q. 1-5): What should come in place of question mark (?) in the following number series.
1. 7 11 25 59 133 ?
1) 285
2) 287
3) 289
4) 291
5) 293
2. 6 13 26 53 110 ?
1) 221
2) 223
3) 225
4) 227
5) 229
3. 5 7 10 20 35 ?
1) 61
2) 63
3) 65
4) 67
5) 69
4. 3 5 16 63 316 ?
1) 1785
2) 1815
3) 1855
4) 1895
5) 1905
5. 4 17 75 210 454 ?
1) 835
2) 837
3) 839
4) 841
5) 843
6. A shopkeeper sold an item for `884 after allowing 15% discount on the labelled price and earned 10.5% profit on the cost price. Had no discount been offered, what would have been his percentage profit?
1) 22.5%
2) 25.5%
3) 28%
4) 30%
5) 32.5%
7. The simple interest on a certain sum of money will be`768 after 8 years. If the principal is increased 4 times after 4 years, then the total interest at the end of 8 years will be
1) `1760
2) `1840
3) `1920
4) `1980
5) `2040
8. In what time will `555000 amount to `1150848 at 20% pa compound interest?
1) 2 years
2) 3 years
3) 4 years
4) 5 years
5) 6 years
9. What is the cost price of an item, which when sold at a profit of 15% yields `96 more than when it is sold at a loss of 15%?
1) `420
2) `620
3) `300
4) `320
5) None of these
10. The ratio of A’s age to B’s is 4 : 3 and the sum of their ages is 98 years. The ratio of their ages after 14 years will be
1) 6 : 5
2) 5 : 4
3) 4 : 3
4) 3 : 2
5) None of these
Answer :-
1. 2; The series is +4, +14, +34, +74 ...
2. 5; The series is +8 –1, +16 – 3, +32 – 5, ...
3. 1; The series is +12 + 1, +22 – 1, +32 + 1, +42 – 1, ...
4. 4; The series is ×2 – 1, ×3 + 1, ×4 – 1, ×5 + 1 ...
5. 3; The series is +42 – 3, +82 – 6, +122 – 9, +162 – 12, ...
6. 4; Labelled price = (884 * 100) / 85 = 1040
CP = (884 * 100) / 100.5 = 800
If there is no discount then required per cent
profit = (800–1040) * 100 / 800 = 30%
7. 3; Let the sum be `X.
Rate = (768 * 100) / X * 8 = 9600 / X % pa
SI for first 4 years = (X * 4 * 9600) / 100 * X = 384
SI for last 4 years = (4X * 4 * 9600) / 100 * X = 1536
Total SI = 384 + 1536 = `1920
8. 3;
1150848 = 555000 * (20 / 100)^t
1296 / 625 = (6 / 5)^t
(6 / 5)^4 = (6 / 5)^t
t = 4
9. 4; Let the cost price be `X.
Then, X × (15 + 15)% = 96
X = (96 * 100) / 30 = 320
10. 2;
4X + 3X = 98
X = 14
A’s age = 56
B’s age = 42
ratio of after 14 year A’s age to B’s is 56 + 14 : 42 + 14
The ratio of A’s age to B’s is 70 : 56 = 5 : 4
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