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प्र: If a solid sphere of radius 10 cms is moulded into 8 spherical solid balls of equal radius, then surface area of each ball (in sq.cm) is ? 1451 0

उत्तर : 1. "100 π"
व्याख्या :
Answer: A) 100 π Explanation: 4/3 π x 10 x 10 x 10 = 8 x 4/3 π x r x r x rr = 54π x 5 x 5 = 100π

प्र: If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is ? 1264 0

उत्तर : 2. "1/2"
व्याख्या :
Answer: B) 1/2 Explanation: The number of exhaustive outcomes is 36.Let E be the event of getting an even number on one die and an odd number on the other. Let the event of getting either both even or both odd then = 18/36 = 1/2P(E) = 1 - 1/2 = 1/2.

प्र: The number of permutations of the letters of the word 'MESMERISE' is ? 2956 0

उत्तर : 1. "9!/(2!)^{2}x3!"
व्याख्या :
Answer: A) 9!/(2!)^{2}x3! Explanation: n items of which p are alike of one kind, q alike of the other, r alike of another kind and the remaining are distinct can be arranged in a row in n!/p!q!r! ways.The letter pattern 'MESMERISE' consists of 10 letters of which there are 2M's, 3E's, 2S's and 1I and 1R.Number of arrangements = 9!(2!)2×3!

प्र: A boatman can row 3 km against the stream in 20 minutes and return in 18 minutes. Find the rate of current ? 6250 0

उत्तर : 4. "1/2 kmph"
व्याख्या :
Answer: D) 1/2 kmph Explanation: Speed in upstream = Distance / Time = 3 x 60/20 = 9 km/hr. Speed in downstream = 3 x 60/18 = 10 km/hr Rate of current = (10-9)/2 = 1/2 km/hr.

प्र: A boat takes 19 hours for travelling downstream from point A to point B and coming back to a point C which is at midway between A and B. If the velocity of the stream is 4 kmph and the speed of the boat in still water is 14 kmph, what is the distance between A and B ? 6813 1

उत्तर : 1. "180 km"
व्याख्या :
Answer: A) 180 km Explanation: Speed in downstream = (14 + 4) km/hr = 18 km/hr; Speed in upstream = (14 – 4) km/hr = 10 km/hr. Let the distance between A and B be x km. Then, x/18 + (x/2)/10 = 19 ⇔ x/18 + x/20 = 19 ⇒ x = 180 km.

प्र: A sold an article to B at 40% profit and B sold it to C at 50% profit, then what will be profit percent with respect to A ? 2284 0

उत्तर : 2. "110 %"
व्याख्या :
Answer: B) 110 % Explanation: % Profit with respect to A = 40 + 50 + (40 x 50)/100 = 90 + 20 = 110 %.

प्र: How many degrees will the minute hand move, in the same time in which the second hand move 5400 ? 2065 0

उत्तर : 1. "90 degrees"
व्याख्या :
Answer: A) 90 degrees Explanation: Minute hand covers 5400/60 = 90°

प्र: What will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 58 ? 2323 0

उत्तर : 3. "Rs. 3944"
व्याख्या :
Answer: C) Rs. 3944 Explanation: Let the side of the square plot be 'a' ft.Given area of the plot (a x a) = 289 => a = 17Length of the fence = Perimeter of the plot = 4a = 68 ft.Cost of building the fence = 68 x 58 = Rs. 3944.

प्र: If a solid sphere of radius 10 cms is moulded into 8 spherical solid balls of equal radius, then surface area of each ball (in sq.cm) is ? 1451 0

उत्तर : 1. "100 π"
व्याख्या :
Answer: A) 100 π Explanation: 4/3 π x 10 x 10 x 10 = 8 x 4/3 π x r x r x rr = 54π x 5 x 5 = 100π

प्र: If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is ? 1264 0

प्र: The number of permutations of the letters of the word 'MESMERISE' is ? 2956 0

प्र: A boatman can row 3 km against the stream in 20 minutes and return in 18 minutes. Find the rate of current ? 6250 0

उत्तर : 4. "1/2 kmph"
व्याख्या :
Answer: D) 1/2 kmph Explanation: Speed in upstream = Distance / Time = 3 x 60/20 = 9 km/hr. Speed in downstream = 3 x 60/18 = 10 km/hr Rate of current = (10-9)/2 = 1/2 km/hr.

प्र: A boat takes 19 hours for travelling downstream from point A to point B and coming back to a point C which is at midway between A and B. If the velocity of the stream is 4 kmph and the speed of the boat in still water is 14 kmph, what is the distance between A and B ? 6813 1

उत्तर : 1. "180 km"
व्याख्या :
Answer: A) 180 km Explanation: Speed in downstream = (14 + 4) km/hr = 18 km/hr; Speed in upstream = (14 – 4) km/hr = 10 km/hr. Let the distance between A and B be x km. Then, x/18 + (x/2)/10 = 19 ⇔ x/18 + x/20 = 19 ⇒ x = 180 km.

प्र: A sold an article to B at 40% profit and B sold it to C at 50% profit, then what will be profit percent with respect to A ? 2284 0

उत्तर : 2. "110 %"
व्याख्या :
Answer: B) 110 % Explanation: % Profit with respect to A = 40 + 50 + (40 x 50)/100 = 90 + 20 = 110 %.

प्र: How many degrees will the minute hand move, in the same time in which the second hand move 5400 ? 2065 0

उत्तर : 1. "90 degrees"
व्याख्या :
Answer: A) 90 degrees Explanation: Minute hand covers 5400/60 = 90°

प्र: What will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 58 ? 2323 0

उत्तर : 3. "Rs. 3944"
व्याख्या :
Answer: C) Rs. 3944 Explanation: Let the side of the square plot be 'a' ft.Given area of the plot (a x a) = 289 => a = 17Length of the fence = Perimeter of the plot = 4a = 68 ft.Cost of building the fence = 68 x 58 = Rs. 3944.

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प्र: If a solid sphere of radius 10 cms is moulded into 8 spherical solid balls of equal radius, then surface area of each ball (in sq.cm) is ? 1451 05b5cc6ebe4d2b4197774ee69

उत्तर : 1. "100 π" व्याख्या :Answer: A) 100 π Explanation: 4/3 π x 10 x 10 x 10 = 8 x 4/3 π x r x r x rr = 54π x 5 x 5 = 100π

प्र: If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is ? 1264 05b5cc6ebe4d2b4197774ee64

प्र: The number of permutations of the letters of the word 'MESMERISE' is ? 2956 05b5cc6ebe4d2b4197774ee5f

प्र: A boatman can row 3 km against the stream in 20 minutes and return in 18 minutes. Find the rate of current ? 6250 05b5cc6ebe4d2b4197774ee46

उत्तर : 4. "1/2 kmph" व्याख्या :Answer: D) 1/2 kmph Explanation: Speed in upstream = Distance / Time = 3 x 60/20 = 9 km/hr. Speed in downstream = 3 x 60/18 = 10 km/hr Rate of current = (10-9)/2 = 1/2 km/hr.

उत्तर : 1. "180 km" व्याख्या :Answer: A) 180 km Explanation: Speed in downstream = (14 + 4) km/hr = 18 km/hr; Speed in upstream = (14 – 4) km/hr = 10 km/hr. Let the distance between A and B be x km. Then, x/18 + (x/2)/10 = 19 ⇔ x/18 + x/20 = 19 ⇒ x = 180 km.

प्र: A sold an article to B at 40% profit and B sold it to C at 50% profit, then what will be profit percent with respect to A ? 2284 05b5cc6e9e4d2b4197774ee3c

उत्तर : 2. "110 %" व्याख्या :Answer: B) 110 % Explanation: % Profit with respect to A = 40 + 50 + (40 x 50)/100 = 90 + 20 = 110 %.

प्र: How many degrees will the minute hand move, in the same time in which the second hand move 5400 ? 2065 05b5cc6e9e4d2b4197774ee29

उत्तर : 1. "90 degrees" व्याख्या :Answer: A) 90 degrees Explanation: Minute hand covers 5400/60 = 90°

प्र: What will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 58 ? 2323 05b5cc6e9e4d2b4197774ee15

उत्तर : 3. "Rs. 3944" व्याख्या :Answer: C) Rs. 3944 Explanation: Let the side of the square plot be 'a' ft.Given area of the plot (a x a) = 289 => a = 17Length of the fence = Perimeter of the plot = 4a = 68 ft.Cost of building the fence = 68 x 58 = Rs. 3944.

त्रुटि की रिपोर्ट करें

त्रुटि की रिपोर्ट करें

त्रुटि की रिपोर्ट करें

त्रुटि की रिपोर्ट करें

त्रुटि की रिपोर्ट करें

त्रुटि की रिपोर्ट करें

त्रुटि की रिपोर्ट करें

त्रुटि की रिपोर्ट करें

प्र: If a solid sphere of radius 10 cms is moulded into 8 spherical solid balls of equal radius, then surface area of each ball (in sq.cm) is ? 1451 0

उत्तर : 1. "100 π"
व्याख्या :
Answer: A) 100 π Explanation: 4/3 π x 10 x 10 x 10 = 8 x 4/3 π x r x r x rr = 54π x 5 x 5 = 100π

प्र: If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is ? 1264 0

प्र: The number of permutations of the letters of the word 'MESMERISE' is ? 2956 0

प्र: A boatman can row 3 km against the stream in 20 minutes and return in 18 minutes. Find the rate of current ? 6250 0

उत्तर : 4. "1/2 kmph"
व्याख्या :
Answer: D) 1/2 kmph Explanation: Speed in upstream = Distance / Time = 3 x 60/20 = 9 km/hr. Speed in downstream = 3 x 60/18 = 10 km/hr Rate of current = (10-9)/2 = 1/2 km/hr.

उत्तर : 1. "180 km"
व्याख्या :
Answer: A) 180 km Explanation: Speed in downstream = (14 + 4) km/hr = 18 km/hr; Speed in upstream = (14 – 4) km/hr = 10 km/hr. Let the distance between A and B be x km. Then, x/18 + (x/2)/10 = 19 ⇔ x/18 + x/20 = 19 ⇒ x = 180 km.

प्र: A sold an article to B at 40% profit and B sold it to C at 50% profit, then what will be profit percent with respect to A ? 2284 0

उत्तर : 2. "110 %"
व्याख्या :
Answer: B) 110 % Explanation: % Profit with respect to A = 40 + 50 + (40 x 50)/100 = 90 + 20 = 110 %.

प्र: How many degrees will the minute hand move, in the same time in which the second hand move 5400 ? 2065 0

उत्तर : 1. "90 degrees"
व्याख्या :
Answer: A) 90 degrees Explanation: Minute hand covers 5400/60 = 90°

प्र: What will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 58 ? 2323 0

उत्तर : 3. "Rs. 3944"
व्याख्या :
Answer: C) Rs. 3944 Explanation: Let the side of the square plot be 'a' ft.Given area of the plot (a x a) = 289 => a = 17Length of the fence = Perimeter of the plot = 4a = 68 ft.Cost of building the fence = 68 x 58 = Rs. 3944.