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URVASHI GARG

A boy walks from his house at 4 km per hr. and reaches his school 9 minutes late. If his speed had been 5 km per hr. he would have reached his school 6 minutes earlier. How far his school from house?

(1) 6.5 km. (2) 5.5 km. (3) 6 km. (4)5 km. Solution: Let time taken to reach school at 4 kmph be x hrs.Then time taken to reach school at 5 kmph = (x+15/60)hrs Since, distance is equal. ,’. 4x=5(x+15/60) x= 5/4 hrs. Hence, distance between school & house = 4*5/4km= 5km Then the answer […]

A boy walks from his house at 4 km per hr. and reaches his school 9 minutes late. If his speed had been 5 km per hr. he would have reached his school 6 minutes earlier. How far his school from house? Read More »

Of the three numbers, second is twice the first and also thrice the third. If the average of the three numbers is 44. the largest number is:(1) 24 (2)72 (3) 36 (4)108

Solution: Let third number be x. :. Second number = 3x and first number = 3x/2 Now , x+3x+3x/2= 3*44 ⇒ 8x+3x/2 = 3*44 ⇒ 11x= 6*44 ⇒ x= 6*44/11= 24 :. The largest number = 3x = 3*24= 72 Then the option in (2) 72

Of the three numbers, second is twice the first and also thrice the third. If the average of the three numbers is 44. the largest number is:(1) 24 (2)72 (3) 36 (4)108 Read More »

Two pipes A and B can fill a tank in 36 minutes and 45 minutes respectively. Another pipe C can empty the tank in 30 minutes. First A and B are opened. After 7 minutes, C is also opened. The tank is filled up in

(1) 39 minutes (2) 46 minutes (3) 40 minutes (4) 45 minutes Solution: Part of the tank filled by pipes A and B in 1 minute = 1/36+1/45= 5+4/180 = 9/180 = 1/20 Part of the tank filled by these pipes in 7 minutes =7/20 Remaining unfilled part = 1-7/20= 20-7/20= 13/20 When all three

Two pipes A and B can fill a tank in 36 minutes and 45 minutes respectively. Another pipe C can empty the tank in 30 minutes. First A and B are opened. After 7 minutes, C is also opened. The tank is filled up in Read More »

The sum of length, breadth and height of a rectangular parallelopiped is 20 cm.and its whole surface area is 264 sq. cm. Find the area of the square whose side is equal to the length of the diagonal of the parallelopiped.

(1) 136 square cm. (2) 120 square cm. (3) 125 square cm. (4) 100 square cm. Solution: Let the length, breadth and height of the parallelopiped be a, b and c cm respectively. :. a+ b+ c= 20 2 (ab + bc + ca) = 264 :. (a+b+c)2= a2+b2+c2+2(ab + bc+ ca) ⇒400= a2+b2+c2+264 ⇒a2+b2+c2=

The sum of length, breadth and height of a rectangular parallelopiped is 20 cm.and its whole surface area is 264 sq. cm. Find the area of the square whose side is equal to the length of the diagonal of the parallelopiped. Read More »