*536*

**11. The difference between the place values of 7 and 3 in the prime number 527435 is**

A. 4

B. 5

C. 45

D. 6970

Ex:(place value of 7)-(place value of 3)

= (7000 – 30)

= 6970.

**12. A started a business with Rs.21,000 and is joined afterwards by B with Rs.36,000. After how many months did B join if the profits at the end of the year are divided equally?**

A. 3

B. 4

C. 5

D. 6

Ex:Suppose B joined after x months.

Then, 21000×12=36000×(12 – x)

‹=›36x=180

= x= 5.

**13. A woman introduces a man as the son of the brother of her mother. How is the man, related to the woman?**

A. Nephew

B. Son

C. Cousin

D. Grandson

Ex:Brother of mother->uncle;

uncle’s son ->cousin

**14. The year next to 1990 will have the same calendar as that of the year 1990?**

A. 1995

B. 1997

C. 1996

D. 1992

Ex:The year 1990 has 365 days,year 1991 has 365 days ,ie 1 odd day,year 1992 has 366 days ,ie 2 odd days..therefore the sum odd days calculated from year 1990 to 1995 (1+2+1+1+1+1)=7 odd days.

**15. If ROSE is coded as 6821, CHAIR is coded as 73456 and PREACH is coded as 961473, what will be the code for SEARCH?**

A. 246173

B. 214673

C. 214763

D. 216473

Ex:So,in SEARCH, S is coded as 2, E as 1, A as 4, R as 6, C as 7, H as 3. Thus, the code for SEARCH is 214673.

**16. There are five different houses, A to E in a row. A is to the right of B and E is to the left of C and right of A. B is to the right of D.Which of the houses is in the middle?**

A. A

B. C

C. D

D. E

E. F

Ex:B is to the right of D. A is to the right of B. E is to the right A and left of C. So the order is D,B,A,E,C. Clearly A is in the middle.

**17. A man sitting in a train which is travelling at 50 kmph observes that a goods train, travelling in opposite direction, takes 9 seconds to pass him. If the goods train is 280 m long, find its speed.**

A. 52 kmph.

B. 62 kmph.

C. 72 kmph.

D. 80 kmph.

Ex:Relative Speed = (280 / 9)m/sec

= (280/9 x 18/5)

= 112 kmph.

Speed of the train = (112 – 50)kmph

= 62 kmph.

**18. Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are**

A. 39, 30

B. 41, 32

C. 42, 33

D. 43, 34

Ex:Let their marks be (x+9) and x.

Then, x+9= 56/100(x + 9 +x)

‹=› 25(x+9)

‹=› 14 (2x + 9)

‹=›3x = 99

‹=›x = 33.

SO, their marks are 42 and 33.

**19. A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled ?**

A. 4.5 hrs

B. 5 hrs

C. 6.5 hrs

D. 7.2 hrs

Ex:Net part filled in 1 hour= (1/4 – 1/9)

= 5/36.

Therefore, the cistern will be filled in 36/5 hrs i.e, 7.2 hrs.

**20. The speed of a car increases by 2 kms after every one hour. If the distance travelling in the first one hour was 35 kms. what was the total distance travelled in 12 hours?**

A. 456 kms

B. 482 kms

C. 552 kms

D. 556 kms

Ex:Total distance travelled in 12 hours =(35+37+39+…..upto 12 terms)

This is an A.P with first term, a=35, number of terms,

n= 12,d=2.

Required distance= 12/2[2 x 35+{12-1) x 2]

=6(70+23)

= 552 kms.