Quantitative Aptitude For Main Bank Exam

1.The least number which should be added to 2497 so that the sum is exactly divisible dy 5,6,4 and 3 is :
(a) 3          (b)13         (c)23    (d)33

2.1201*1201 = ?
(a)1442401     (b)1600000       (c)1234567       (d)1587690
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[3 - 7 ]The bar graph given below shows the sales of books (in thousand number) from six branches of a publishing company during two consecutive years 2000 and 2001.

Sales of Books (in thousand numbers) from Six Branches - B1, B2, B3, B4, B5 and B6 of a publishing Company in 2000 and 2001.

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3.	What is the ratio of the total sales of branch B2 for both years to the total sales of branch B4 for both years?
	A. 2:3 B. 3:5 C. 4:5 D. 7:9

4.	Total sales of branch B6 for both the years is what percent of the total sales of branches B3 for both the years?
	A. 68.54% B. 71.11% C. 73.17% D. 75.55%

5.What percent of the average sales of branches B1, B2 and B3 in 2001 is the average sales of branches B1, B3 and B6 in 2000?

A.	75%	B.	77.5%
C.	82.5%	D.	87.5%

6.	What is the average sales of all the branches (in thousand numbers) for the year 2000?
	A. 73 B. 80 C. 83 D. 88

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7.	Total sales of branches B1, B3 and B5 together for both the years (in thousand numbers) is?
	A. 250 B. 310 C. 435 D. 560

8.A motorboat, whose speed in 15 km/hr in still water goes 30 km downstream and comes back in a total of 4 hours 30 minutes. The speed of the stream (in km/hr) is: A. 4 B. 5 C. 6 D. 10
9. The least perfect square, which is divisible by each of 21, 36 and 66 is: A. 213444 B. 214344 C. 214434 D. 231444
10. A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B's share? A. Rs. 500 B. Rs. 1500 C. Rs. 2000 D. None of these

Answer
1.  (c)L.C.M of 5,6,4,3 = 5*6*2 = 120
Required number = 2497/120 = 23

2(a).1201*1201 = (1201)'2 = (1200+1)'2
= 1440000+1+2400 =1442401

 3.(d)Required ratio = 75 +65 : 85+95
                              = 140 : 180
                              = 7 : 9
 4.(c) Required % =[70 + 80]/[95 +110]* 100
                             = 105 /205 *100
                                =73.17%

5.(d)Average sales (in thousand number) of branches B1, B3 and B6 in 2000
           = 80 + 95 + 70 / 3
Average sales (in thousand number) of branches B1, B2 and B3 in 2001
    =105 + 65 + 110 /3
Required percentage =  245 / 3 /280 / 3 * 100
                                          = 245/280 * 100
                                       = 87.5%

6.(b)Average sales of all the six branches (in thousand numbers) for the year 2000
    = 80 + 75 + 95 + 85 + 75 + 70 / 6
    =80

7.(d)
Total sales of branches B1, B3 and B5 for both the years (in thousand numbers)
    = (80 + 105) + (95 + 110) + (75 + 95)
    = 560.

8(b).let the speed of the stream be x km/hr. Then,
Speed downstream = (15 + x) km/hr,
Speed upstream = (15 - x) km/hr.

	30	+	30	= 4	1
	(15 + x)		(15 - x)		2

	900	=	9
	225 - x2		2

9x² = 225
x² = 25
x = 5 km/hr.

9.(a)
L.C.M. of 21, 36, 66 = 2772.
Now, 2772 = 2 x 2 x 3 x 3 x 7 x 11
To make it a perfect square, it must be multiplied by 7 x 11.
So, required number = 2² x 3² x 7² x 11² = 213444

10.(C)
Let the shares of A, B, C and D be Rs. 5x, Rs. 2x, Rs. 4x and Rs. 3x respectively.
Then, 4x - 3x = 1000
x = 1000.
B's share = Rs. 2x = Rs. (2 x 1000) = Rs. 2000.