Directions (1-5): What should come in place of question mark (?) in the following number series?
Q1. 1, 4, 13, 40, 121, ?
(a) 242
(b) 363
(c) 163
(d) 485
(e) 364
Q2. ?, 5.4, 8.2, 13.8, 25, 47.4
(a) 3.2
(b) 2.7
(c) 4
(d) 3.8
(e) 4.4
Q3. 177, 188, 210, 243, ?, 342
(a) 287
(b) 293
(c) 277
(d) 312
(e) 307
Q4. 420, 210, 140, 105, 84, 70, ?
(a) 63
(b) 60
(c) 49
(d) 56
(e) 42
Q5. 9, 13, 25, 61, ?, 493
(a) 159
(b) 162
(c) 179
(d) 169
(e) 167
Directions (6-10): Study the passage given below and answer the following questions.
In a school, there are 330 students. Each student studies at least one subject amongst English, Math and Science. Students studying only Math and English together are 25% of students studying only English. Students studying Science are equal to students studying only Math. Students studying only Science are 175% of students studying only English. Students studying all three subjects together are equal to students studying only Math and English together. Students studying Science and English together are equal to students studying only English. Students studying only Math and Science together are equal to students studying only English and Science together and students studying only Math are 140.
Q6. Find average number of students studying only English and only Science.
(a) 105
(b) 50
(c) 55
(d) 90
(e) 35
Q7. Find number of students who studies English.
(a) 40
(b) 90
(c) 70
(d) 50
(e) 20
Q8. Students studying only Math are what percent of students studying only Science?
(a) 200%
(b) 50%
(c) 175%
(d) 350%
(e) 100%
Q9. Students studying only English and Math together are how much more or less than students studying only English and Science together?
(a) 50
(b) 10
(c) 30
(d) 20
(e) 40
Q10. Students studying Math and Science together are what percent of students studying only English?
(a) 25%
(b) 50%
(c) 175%
(d) 100%
(e) 150%
Q11. The average weight of P, Q, R and S is 60 kg. A new person A is also included in the group, then the average weight of the group increased by 2 kg. if a new person B replaces P, then the new average of group becomes 61 kg. find the sum of weight of Q, R, S and B.
(a) 255 kg
(b) 235 kg
(c) 345 kg
(d) 295 kg
(e) 265 kg
Q12. A vessel contains 240 liters of petrol. 20 liters of petrol taken out from it and completely replaced by kerosene and then again from the mixture 20 liters of mixture taken out and completely replaced by kerosene. Find the remaining quantity of petrol in the final mixture.
(a) 166.67 lit
(b) 233.33 lit
(c) 217.17 lit
(d) 165.5 lit
(e) 201.67 lit
Q13. A number is divided in such a way that 80% of the first part exceeds 70% of the second part by 3 and 50% of the second part exceeds the 40% of the first part by 15. Find the number.
(a) 110
(b) 180
(c) 210
(d) 100
(e) 230
Q14. The curved surface area and total surface area of right circular cylinder are in the ratio of 2 :3. If the total surface area of the cylinder is 3696 sq. cm, then what is the volume of the cylinder?
(a) 4312 cu. Cm.
(b) 8624 cu. Cm.
(c) 2464 cu. Cm
(d) 17248 cu. Cm
(e) 4928 cu. Cm
Q15. Three persons A, B and C together undertake to complete a piece of work for Rs 1600. A can complete the work alone in 6 days, B alone in 15 days and C alone in 24 days respectively. If they complete the work with the help of person D in 3 days, then find the wage of person D?
(a) Rs 250
(b) Rs 350
(c) Rs 210
(d) Rs 280
(e) Rs 230
Solutions
S1. Ans.(e)
Sol.
The series is
1×3+1=4
4×3+1=13
13×3+1=40
40×3+1=121
121×3+1=364
S3. Ans.(a)
Sol.
The series is
177 + 11 × 1 = 188
188 + 11 × 2 = 210
210 + 11 × 3 = 243
243 + 11 × 4 = 287
287 + 11 × 5 = 342