**Directions (Q.1-5): In each of the following questions, there is a certain relationship between two given numbers on one side : : and one number is given another side of : : while another number is to be found from the given alternatives, having the same relationship with the number as the numbers of the given pair bear. Choose the best alternative.**

**Q1.9 : 80 : : 100 : ?**

(a) 901

(b) 1009

(c) 9889

**(d) 9999**

**Ans.(d)**

The relationship is x : x

The relationship is x : x

^{2}-1**Q2. 25 : 37 : : 49 : ?**

(a)41

(b) 56

(c) 60

**(d) 65**

**Ans.(d) The**

relationship is x

relationship is x

^{2 }: (x+1)^{2}+ 1**Q3. 9 : 8 : : 16 : ?**

**(a) 27**

(b) 18

(c) 17

(d) 14

**Ans.(a) The relationship is x**

^{2}: (x-1)^{2+1}**Since 16 = 4**

so required number =(4-1)

^{2},so required number =(4-1)

^{2+1 }=3^{3 }= 27**Q4. 11529 : 72135 : : 152943 : ?**

(a) 62034

(b) 163044

(c) 203448

**(d) 213549**

**Ans.(d) The sum of the digits of the numbers in each pair is the same.**

**1+1+5+2+9= 18 , 7+2+1+3+5= 18**

**Similarly**

**1+5+2+9+4+3 = 24, 2+1+3+5+4+9=24**

**Q5. 5 : 100 , 4 : 64 : : 4 : 80, 3 : ?**

(a) 26

**(b) 48**

(c)24

(d) 60

**Ans.(b)We have : 100=5×20,64=4×16.**

**Similarly, 80=4×20.**

**So, required number =3×16=48.**

**Directions: (Q.6-10): In each of the following questions, there is some relationship between the two terms to the left of : : and the same relationship holds between the two terms to its right. Also, in each question, one term either to the right of : : or to the left of it is missing. The term is given as one of the alternatives given below each question. Find out this term.**

**6. MAD : JXA : : RUN : ?**

**(a) ORK**

(b) OSQ

(c) PRJ

(d) UXQ

**Ans. (a): Each letter of the first group is moved three steps backward to obtain the corresponding letter of the second group.**

**7.ACEG : ZXVT : : BDFH : ?**

(a) JLMX

(b) YUWR

(c) YQSU

(d) YWUS

**8. EJOT : VQLG : : BGLQ : ?**

(a)AEIM

(b) AFKP

**(c) YTOJ**

(d) ZUPK

**Ans. (c): Each letter of the first group occupies the same position from the beginning of the alphabet as the corresponding letter of the second group occupies from the end of the alphabet.**

**9. WFB : TGD : : QHG : ?**

(a) NII

(b) NQK

(c) NJK

(d) MST

**10. CLOSE : DNRWJ : : OPEN : ?**

**(a) PRHR**

(b) PRJQ

(c) RPJB

(d) RZWR

**Ans. (a): The first, second, third, fourth, fifth, ….. letters of the first group are moved one, two, three, four, five, ….. steps forward respectively to obtain the corresponding letters of the second group.**