**Directions (1-5): Study the following number series carefully and answer the questions accordingly.**

**423 587 267 386 845 665**

**Q1. If the last digit of each number is multiplied by 3 then what will be the sum of all the third digits within the numbers after multiplication?**

(a) 94

(b) 104

(c) 114

(d) 99

(e) None of these

**Q2. If we subtract 2 from the second digit of each number and add 1 to the first digit of each number, then which of the following will be the third highest number? **

(a) 423

(b) 665

(c) 587

(d) 386

(e) None

**Q3. If the first two digits of each number are interchanged then what will be the resultant of the sum of the lowest and the second highest number? **

(a) 1132

(b) 1079

(c) 1010

(d) 1099

(e) None of these

**Q4. If all the digits in each number are written in ascending order within the number, then which of the given number will become the second highest? **

(a) 587

(b) 386

(c) 665

(d) 845

(e) None of these

**Q5. If the first two digits of each number are interchanged then which of the following number will be second highest? **

(a) 267

(b) 386

(c) 423

(d) 587

(e) None of these

**Directions (6-10): Study the following information carefully and answer the given questions. **

Eight people i.e. A, B, C, D, E, F, G and H were born in different years i.e. 1996, 1973, 1979, 1985, 1994, 1992, 1982 and 1989 but not necessarily in the same order. (Note: Consider the base year as 2020.)

The age of B is a multiple of 7. Three people were born between F and H. One person was born between B and F who was born before B. The difference between the age of H and C is 2 years. Two people were born between G and A who is not the youngest. D was not born after E. The difference between the age of C and G is 5 years.

**Q6. Who amongst the following is the oldest person? **

(a) G

(b) D

(c) F

(d) H

(e) None of these

**Q7. How many people were born between A and the one who was born just after G? **

(a) Four

(b) Two

(c) Three

(d) Five

(e) None of these

**Q8. What is the age of the one who was born just before E?**

(a) 38 years

(b) 41 years

(c) 35 years

(d) 28 years

(e) None of these

**Q9. Four of the following five are alike in a certain way and hence form a group. Which is the one that doesn’t belong to that group? **

(a) D

(b) E

(c) B

(d) C

(e) H

**Q10. Who amongst the following was born in 1992? **

(a) H

(b) D

(c) B

(d) E

(e) None of these

**Directions (11-15): In each of the following questions, assuming the given statements to be true, find which of the following options holds true:**

**Q11. Statements:** F ≥ H, A ≤ C, G ≥ H, H > C

**Conclusions**: I. G > H

II. G > C

(a) If only conclusion I is true.

(b) If only conclusion II is true.

(c) If either conclusion I or conclusion II is true.

(d) If neither conclusion I nor conclusion II is true

(e) If both conclusions I and II are true.

**Q12. Statements:** J ≤ K, S > D < T, E ≥ S, E = G

**Conclusions**: I. D < E

II. S < G

(a) If only conclusion I is true.

(b) If only conclusion II is true.

(c) If either conclusion I or conclusion II is true.

(d) If neither conclusion I nor conclusion II is true

(e) If both conclusions I and II are true.

**Q13. Statements:** T ≥ M, M < K, C = K, P < M

**Conclusions**: I. P < C

II. P < T

(a) If only conclusion I is true.

(b) If only conclusion II is true.

(c) If either conclusion I or conclusion II is true.

(d) If neither conclusion I nor conclusion II is true

(e) If both conclusions I and II are true.

**Q14. Statements:** R > S < O ≥ C, S = V > D ≥ A

**Conclusions**: I. R < D

II. O = V

(b) If only conclusion II is true.

(c) If either conclusion I or conclusion II is true.

(d) If neither conclusion I nor conclusion II is true

(e) If both conclusions I and II are true.

**Q15. Statements:** D < E ≥ C = V > G ≤ T, C ≥ O

**Conclusions**: I. O ≤ E

II. D > O

(b) If only conclusion II is true.

(c) If either conclusion I or conclusion II is true.

(d) If neither conclusion I nor conclusion II is true

(e) If both conclusions I and II are true.

**Solutions**

**S1. Ans. (d)**

**Sol. **The required sum = (3 x 3) + (7 x 3) + (7 x 3) + (6 x 3) + (5 x 3) + (5 x 3) = 99

Hence, the required answer is ‘99’.

**S2. Ans. (c)**

**Sol.**After addition and subtraction – 503 667 347 466 925 745

Hence, the required answer is ‘587’.

**S3. Ans. (b)**

**Sol.**After interchange – 243 857 627 836 485 665

The required sum – 836 + 243 = 1079

**S4 Ans. (c)**

**Sol.** After writing in ascending order – 234 578 267 368 458 566

Hence, the required answer is ‘665’.

**S5 Ans. (b)**

**Sol.**After interchange – 243 857 627 836 485 665

Hence, the required answer is ‘386’.

**Solution (6-10):**

**Sol. **

**S6. Ans b)**

**S7. Ans. (c)**

**S8. Ans. (b) **

**S9. Ans. (a)**

**S10. Ans. (c)**

**S11. Ans. (b)**

**Sol.** I. G > H – False

II. G > C – True.

**S12. Ans. (a)**

**Sol.** I. D < E – True

II. S < G – False

**S13. Ans. (e)**

**Sol.** I. P < C – True

II. P < T – True

**S14. Ans. (d)**

**Sol.** I. R < D – False

II. O = V – False

**S15. Ans. (a)**

**Sol.** I. O ≤ E – True

II. D > O – False