Q.1 A certain type of board is sold only in length of multiples of 2ft. The shortest board sold is 6ft & the largest is 24 ft. A builder needs a large quantity of this type of board in 5 ½ ft length. For minimum wastage the lengths to be ordered should be :
A) 24 ft
B) 26 ft
C) 12 ft
D) 22 ft
Ans. D
Just see Options, & according to the options just put values & then find the wastage:
Each 6ft board yields one 5 ½ board with ½ waste
Each 12 ft board yields two 5 ½ board with 1 ft waste
(2*5 ½ =11, 12-11 = 1 ft waste)
Each 24 ft board yields four 5 ½ boards with 2ft waste
(4*5 ½ =22, 24-22 = 2 ft waste)
Each 22ft board may be divided into four 5 ½ ft boards with no waste (4*5 ½ = 22)
Q.2 A gardener plants 17,956 trees in such a way that there are many rows as are trees in a row. The number of trees in a row is :
A) 144
B) 154
C) 134
D) 136
Ans. C
v 17,956 = 134
Q.3 A men went to shop & was shown some shirts costing Rs. 100 each & some trousers costing Rs. 150 each. If he had Rs.1200 with him, what was the maximum number of trousers that he could have purchased , if he had also wanted to purchase some shirts ?
A) 5
B) 8
C) 2
D) 6
Ans. D
We have to find greatest multiple of 150 contained in 1200, such that there is a remainder which is a multiple of 100
(i.e. Just divide 1200/150 in such a way that it leaves a remainder which is divisible by 100)
Therefore, 1200 = 150*6+3*100
Therefore he can buy 6 trousers along with the 3 shirts
Q.4 Karan ranked thirteen from the top & twenty six from the bottom among those who have passed in the annual examination in a class. If six students have failed in the annual examination, how many students appeared ?
A) 45
B 38
C) 44
D) 50
Ans. C
No. of students who pass= (12+25) + 1= 38
Total number of students= 38 + 6=44
Q.5 John ranked 21st in a class of fifty Students. What is his rank from the end ?
A) 30th
B) 32nd
C) 20th
D) 31st
Ans. A
50-21=29
29+1=30
