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.