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प्र: If a2+b2 = c2 , then 1logc+ab + 1logc-ab = ? 2832 1

उत्तर : 2. "2"
व्याख्या :
Answer: B) 2 Explanation: Given a2 + b2 = c2 Now 1logc+ab + 1logc-ab = logbc+a + logbc-a = logbc2-a2 = 2logbb = 2

प्र: Shares of a company given in exchange for work done are called ? 1363 0

उत्तर : 4. "Sweat equity shares"
व्याख्या :
Answer: D) Sweat equity shares Explanation: A sweat equity share is an equity share issued by the company to employees or directors at a discount or for consideration other than cash for providing know-how or making available rights in the nature of intellectual property rights or value additions.

प्र: If log72 = m, then log4928 is equal to ? 2450 0

उत्तर : 2. "(1+2m)/2"
व्याख्या :
Answer: B) (1+2m)/2 Explanation: log4928 = 12log77×4 = 12+122log72= 12+log72= 12 + m= 1+2m2.

प्र: If x and y are the two digits of the number 653xy such that this number is divisible by 80, then x+y is equal to ? 1297 0

उत्तर : 4. "2"
व्याख्या :
Answer: D) 2 Explanation: Since 653xy is divisible by 5 as well as 2, so y = 0.Now, 653x0 must be divisible by 8.So, 3x0 must be divisible by 8. This happens when x = 2x + y = (2 + 0) = 2.

प्र: If x is a whole number, then x²(x² - 1) is always divisible by ? 2175 0

उत्तर : 3. "12"
व्याख्या :
Answer: C) 12 Explanation: we can do this by trial and error method. Putting x = 2,we get 2²(2² - 1) = 12.checking with other integers, the above equation always gives a value which is a multiple of 12,So, x²(x² - 1) is always divisible by 12.

प्र: Who among the following took over as the 25th Director General of the Border Roads(DGBR) ? 1284 0

उत्तर : 4. "Lt. Gen. Sanjeev Kumar Shrivastava"
व्याख्या :
Answer: D) Lt. Gen. Sanjeev Kumar Shrivastava Explanation: Lt. Gen. Sanjeev Kumar Shrivastava took over as the 25th Director General of the Border Roads (DGBR). He has replaced Lt. Gen. Suresh Sharma. Prior to it, he was holding the appointment of Director General Combat Engineers at Integrated Headquarters of Ministry of Defence(Army).

प्र: If y/(x - z) = (y + x)/z = x/y then find z : y : x ? 1797 0

उत्तर : 2. "3:2:4"
व्याख्या :
Answer: B) 3:2:4 Explanation: Given, y/(x - z) = (y + x)/z = x/yyz = xy + x2 - yz - xz ....(1)Also xy = yx-z ⇒x2 -xz = y2 ....(2)Using (1) and (2), we get yz = xy - yz + y22yz = xy + y22z = x + y Only option (B) satisfies the equation.

प्र: There are 209 doctors and nurses in a hospital. If the ratio of the doctors to the nurses is 11 : 8, then how many nurses are there in the hospital? 2043 0

प्र: If a2+b2 = c2 , then 1logc+ab + 1logc-ab = ? 2832 1

उत्तर : 2. "2"
व्याख्या :
Answer: B) 2 Explanation: Given a2 + b2 = c2 Now 1logc+ab + 1logc-ab = logbc+a + logbc-a = logbc2-a2 = 2logbb = 2

प्र: Shares of a company given in exchange for work done are called ? 1363 0

प्र: If log72 = m, then log4928 is equal to ? 2450 0

उत्तर : 2. "(1+2m)/2"
व्याख्या :
Answer: B) (1+2m)/2 Explanation: log4928 = 12log77×4 = 12+122log72= 12+log72= 12 + m= 1+2m2.

प्र: If x and y are the two digits of the number 653xy such that this number is divisible by 80, then x+y is equal to ? 1297 0

उत्तर : 4. "2"
व्याख्या :
Answer: D) 2 Explanation: Since 653xy is divisible by 5 as well as 2, so y = 0.Now, 653x0 must be divisible by 8.So, 3x0 must be divisible by 8. This happens when x = 2x + y = (2 + 0) = 2.

प्र: If x is a whole number, then x²(x² - 1) is always divisible by ? 2175 0

उत्तर : 3. "12"
व्याख्या :
Answer: C) 12 Explanation: we can do this by trial and error method. Putting x = 2,we get 2²(2² - 1) = 12.checking with other integers, the above equation always gives a value which is a multiple of 12,So, x²(x² - 1) is always divisible by 12.

प्र: Who among the following took over as the 25th Director General of the Border Roads(DGBR) ? 1284 0

प्र: If y/(x - z) = (y + x)/z = x/y then find z : y : x ? 1797 0

उत्तर : 2. "3:2:4"
व्याख्या :
Answer: B) 3:2:4 Explanation: Given, y/(x - z) = (y + x)/z = x/yyz = xy + x2 - yz - xz ....(1)Also xy = yx-z ⇒x2 -xz = y2 ....(2)Using (1) and (2), we get yz = xy - yz + y22yz = xy + y22z = x + y Only option (B) satisfies the equation.

प्र: There are 209 doctors and nurses in a hospital. If the ratio of the doctors to the nurses is 11 : 8, then how many nurses are there in the hospital? 2043 0

उत्तर : 1. "88"
व्याख्या :
Answer: A) 88 Explanation: Given,The ratio of the doctors to the nurses is 11 : 8Number of nurses = 8/19 x 209 = 88.

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प्र: If a2+b2 = c2 , then 1logc+ab + 1logc-ab = ? 2832 15b5cc761e4d2b4197774fd67

उत्तर : 2. "2" व्याख्या :Answer: B) 2 Explanation: Given a2 + b2 = c2 Now 1logc+ab + 1logc-ab = logbc+a + logbc-a = logbc2-a2 = 2logbb = 2

प्र: Shares of a company given in exchange for work done are called ? 1363 05b5cc761e4d2b4197774fd6c

प्र: If log72 = m, then log4928 is equal to ? 2450 05b5cc761e4d2b4197774fd5d

उत्तर : 2. "(1+2m)/2" व्याख्या :Answer: B) (1+2m)/2 Explanation: log4928 = 12log77×4 = 12+122log72= 12+log72= 12 + m= 1+2m2.

प्र: If x and y are the two digits of the number 653xy such that this number is divisible by 80, then x+y is equal to ? 1297 05b5cc761e4d2b4197774fd62

उत्तर : 4. "2" व्याख्या :Answer: D) 2 Explanation: Since 653xy is divisible by 5 as well as 2, so y = 0.Now, 653x0 must be divisible by 8.So, 3x0 must be divisible by 8. This happens when x = 2x + y = (2 + 0) = 2.

प्र: If x is a whole number, then x²(x² - 1) is always divisible by ? 2175 05b5cc761e4d2b4197774fd58

उत्तर : 3. "12" व्याख्या :Answer: C) 12 Explanation: we can do this by trial and error method. Putting x = 2,we get 2²(2² - 1) = 12.checking with other integers, the above equation always gives a value which is a multiple of 12,So, x²(x² - 1) is always divisible by 12.

प्र: Who among the following took over as the 25th Director General of the Border Roads(DGBR) ? 1284 05b5cc761e4d2b4197774fd49

प्र: If y/(x - z) = (y + x)/z = x/y then find z : y : x ? 1797 05b5cc761e4d2b4197774fd4e

उत्तर : 2. "3:2:4" व्याख्या :Answer: B) 3:2:4 Explanation: Given, y/(x - z) = (y + x)/z = x/yyz = xy + x2 - yz - xz ....(1)Also xy = yx-z ⇒x2 -xz = y2 ....(2)Using (1) and (2), we get yz = xy - yz + y22yz = xy + y22z = x + y Only option (B) satisfies the equation.

प्र: There are 209 doctors and nurses in a hospital. If the ratio of the doctors to the nurses is 11 : 8, then how many nurses are there in the hospital? 2043 05b5cc761e4d2b4197774fd44

उत्तर : 1. "88" व्याख्या :Answer: A) 88 Explanation: Given,The ratio of the doctors to the nurses is 11 : 8Number of nurses = 8/19 x 209 = 88.

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प्र: If a2+b2 = c2 , then 1logc+ab + 1logc-ab = ? 2832 1

उत्तर : 2. "2"
व्याख्या :
Answer: B) 2 Explanation: Given a2 + b2 = c2 Now 1logc+ab + 1logc-ab = logbc+a + logbc-a = logbc2-a2 = 2logbb = 2

प्र: Shares of a company given in exchange for work done are called ? 1363 0

प्र: If log72 = m, then log4928 is equal to ? 2450 0

उत्तर : 2. "(1+2m)/2"
व्याख्या :
Answer: B) (1+2m)/2 Explanation: log4928 = 12log77×4 = 12+122log72= 12+log72= 12 + m= 1+2m2.

प्र: If x and y are the two digits of the number 653xy such that this number is divisible by 80, then x+y is equal to ? 1297 0

उत्तर : 4. "2"
व्याख्या :
Answer: D) 2 Explanation: Since 653xy is divisible by 5 as well as 2, so y = 0.Now, 653x0 must be divisible by 8.So, 3x0 must be divisible by 8. This happens when x = 2x + y = (2 + 0) = 2.

प्र: If x is a whole number, then x²(x² - 1) is always divisible by ? 2175 0

प्र: Who among the following took over as the 25th Director General of the Border Roads(DGBR) ? 1284 0

प्र: If y/(x - z) = (y + x)/z = x/y then find z : y : x ? 1797 0

उत्तर : 2. "3:2:4"
व्याख्या :
Answer: B) 3:2:4 Explanation: Given, y/(x - z) = (y + x)/z = x/yyz = xy + x2 - yz - xz ....(1)Also xy = yx-z ⇒x2 -xz = y2 ....(2)Using (1) and (2), we get yz = xy - yz + y22yz = xy + y22z = x + y Only option (B) satisfies the equation.

प्र: There are 209 doctors and nurses in a hospital. If the ratio of the doctors to the nurses is 11 : 8, then how many nurses are there in the hospital? 2043 0

उत्तर : 1. "88"
व्याख्या :
Answer: A) 88 Explanation: Given,The ratio of the doctors to the nurses is 11 : 8Number of nurses = 8/19 x 209 = 88.