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प्र: For x∈N, x>1, and p=logxx+1, q=logx+1x+2 then which one of the following is correct? 7143 2

उत्तर : 3. "p > q"
व्याख्या :
Answer: C) p > q Explanation: kl>k+1l+1 for (k,l) > 0 and k > l Let k = x+1 and l = x Therefore, x+1x>(x+1)+1(x)+1 (x + 1) > x Therefore, log(x+1)log(x)>log(x+2)log(x+1) ⇒logxx+1 >logx+1x+2

प्र: The Value of logtan10+logtan20+⋯⋯+logtan890 is 1831 1

उत्तर : 2. "0"
व्याख्या :
Answer: B) 0 Explanation: = log tan10+log tan890 + log tan20+ log tan880+⋯⋯+log tan450 = log [tan10 × tan890] + log [tan20 × tan880 ] +⋯⋯+log1 ∵ tan(90-θ)=cotθ and tan 450=1 = log 1 + log 1 +.....+log 1 = 0.

प्र: An industrial loom weaves 1.14 meters of cloth every second. Approximately, how much time will it take to weave 52 meters of cloth ? 3163 1

उत्तर : 4. "45.61 sec"
व्याख्या :
Answer: D) 45.61 sec Explanation: Given loom weaves 1.14 mts of cloth in one second then 52 mts of cloth can be weaved by loom in, 1.14 ----- 1 52.0 ------? ⇒521.14= 45.61 sec

प्र: If log 64 = 1.8061, then the value of log 16 will be (approx)? 4948 0

उत्तर : 2. "1.2040"
व्याख्या :
Answer: B) 1.2040 Explanation: Given that, log 64 = 1.8061 i.e log43=1.8061 --> 3 log 4 = 1.8061 --> log 4 = 0.6020 --> 2 log 4 = 1.2040 ⇒log42=1.2040 Therefore, log 16 = 1.2040

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: 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 a person having Rs. 2000 and he want to distribute this to his five children in the manner that each son having Rs. 30 more than the younger one , what will be the share of youngest child ? 2954 1

उत्तर : 3. "Rs. 340"
व्याख्या :
Answer: C) Rs. 340 Explanation: Assume first child (the youngest) get = Rs. x According to the question ;each son having Rs. 30 more than the younger one Second child will get = Rs. x + 30 Third child will get = Rs. x + 30 + 30 = x + 60 Forth child will get = Rs. x + 30 + 30 + 30 = x + 90 Fifth child will get = Rs. x + 30 + 30 + 30 + 30 = x + 120 Total amount they got = Rs. 2000 x + (x+30) + (x+60) + (x+90) + (x+120) = 20005x + 300 = 20005x = 1700x = Rs. 340So the youngest child will get Rs. 340.

प्र: In a queue, Shankar is ninth from the rear end. Althaf's place is eighth from the front. Nitu is standing between the two. What could be the minimum numbers of boys standing in the queue ? 2880 0

उत्तर : 2. "14"
व्याख्या :
Answer: B) 14 Explanation: 1 2 3 4 5 6(Shankar) 7(Nitu) 8(Althaf) 9 10 11 12 13 14Here, Althaf is 8th from front, Shankar is 9th from rear end and Nitu is between themSo minimum no. of boys standing in the queue = 14

प्र: For x∈N, x>1, and p=logxx+1, q=logx+1x+2 then which one of the following is correct? 7143 25b5cc7d0e4d2b419777511ff

उत्तर : 3. "p > q" व्याख्या :Answer: C) p > q Explanation: kl>k+1l+1 for (k,l) > 0 and k > l Let k = x+1 and l = x Therefore, x+1x>(x+1)+1(x)+1 (x + 1) > x Therefore, log(x+1)log(x)>log(x+2)log(x+1) ⇒logxx+1 >logx+1x+2

प्र: The Value of logtan10+logtan20+⋯⋯+logtan890 is 1831 15b5cc7d0e4d2b41977751204

उत्तर : 2. "0" व्याख्या :Answer: B) 0 Explanation: = log tan10+log tan890 + log tan20+ log tan880+⋯⋯+log tan450 = log [tan10 × tan890] + log [tan20 × tan880 ] +⋯⋯+log1 ∵ tan(90-θ)=cotθ and tan 450=1 = log 1 + log 1 +.....+log 1 = 0.

प्र: An industrial loom weaves 1.14 meters of cloth every second. Approximately, how much time will it take to weave 52 meters of cloth ? 3163 15b5cc783e4d2b41977750219

उत्तर : 4. "45.61 sec" व्याख्या :Answer: D) 45.61 sec Explanation: Given loom weaves 1.14 mts of cloth in one second then 52 mts of cloth can be weaved by loom in, 1.14 ----- 1 52.0 ------? ⇒521.14= 45.61 sec

प्र: If log 64 = 1.8061, then the value of log 16 will be (approx)? 4948 05b5cc77ae4d2b41977750160

उत्तर : 2. "1.2040" व्याख्या :Answer: B) 1.2040 Explanation: Given that, log 64 = 1.8061 i.e log43=1.8061 --> 3 log 4 = 1.8061 --> log 4 = 0.6020 --> 2 log 4 = 1.2040 ⇒log42=1.2040 Therefore, log 16 = 1.2040

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: 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 a person having Rs. 2000 and he want to distribute this to his five children in the manner that each son having Rs. 30 more than the younger one , what will be the share of youngest child ? 2954 15b5cc74ae4d2b4197774fabd

प्र: In a queue, Shankar is ninth from the rear end. Althaf's place is eighth from the front. Nitu is standing between the two. What could be the minimum numbers of boys standing in the queue ? 2880 05b5cc74ae4d2b4197774fa9a

उत्तर : 2. "14" व्याख्या :Answer: B) 14 Explanation: 1 2 3 4 5 6(Shankar) 7(Nitu) 8(Althaf) 9 10 11 12 13 14Here, Althaf is 8th from front, Shankar is 9th from rear end and Nitu is between themSo minimum no. of boys standing in the queue = 14

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प्र: For x∈N, x>1, and p=logxx+1, q=logx+1x+2 then which one of the following is correct? 7143 2

उत्तर : 3. "p > q"
व्याख्या :
Answer: C) p > q Explanation: kl>k+1l+1 for (k,l) > 0 and k > l Let k = x+1 and l = x Therefore, x+1x>(x+1)+1(x)+1 (x + 1) > x Therefore, log(x+1)log(x)>log(x+2)log(x+1) ⇒logxx+1 >logx+1x+2

प्र: The Value of logtan10+logtan20+⋯⋯+logtan890 is 1831 1

उत्तर : 2. "0"
व्याख्या :
Answer: B) 0 Explanation: = log tan10+log tan890 + log tan20+ log tan880+⋯⋯+log tan450 = log [tan10 × tan890] + log [tan20 × tan880 ] +⋯⋯+log1 ∵ tan(90-θ)=cotθ and tan 450=1 = log 1 + log 1 +.....+log 1 = 0.

प्र: An industrial loom weaves 1.14 meters of cloth every second. Approximately, how much time will it take to weave 52 meters of cloth ? 3163 1

उत्तर : 4. "45.61 sec"
व्याख्या :
Answer: D) 45.61 sec Explanation: Given loom weaves 1.14 mts of cloth in one second then 52 mts of cloth can be weaved by loom in, 1.14 ----- 1 52.0 ------? ⇒521.14= 45.61 sec

प्र: If log 64 = 1.8061, then the value of log 16 will be (approx)? 4948 0

उत्तर : 2. "1.2040"
व्याख्या :
Answer: B) 1.2040 Explanation: Given that, log 64 = 1.8061 i.e log43=1.8061 --> 3 log 4 = 1.8061 --> log 4 = 0.6020 --> 2 log 4 = 1.2040 ⇒log42=1.2040 Therefore, log 16 = 1.2040

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: 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 a person having Rs. 2000 and he want to distribute this to his five children in the manner that each son having Rs. 30 more than the younger one , what will be the share of youngest child ? 2954 1

प्र: In a queue, Shankar is ninth from the rear end. Althaf's place is eighth from the front. Nitu is standing between the two. What could be the minimum numbers of boys standing in the queue ? 2880 0

उत्तर : 2. "14"
व्याख्या :
Answer: B) 14 Explanation: 1 2 3 4 5 6(Shankar) 7(Nitu) 8(Althaf) 9 10 11 12 13 14Here, Althaf is 8th from front, Shankar is 9th from rear end and Nitu is between themSo minimum no. of boys standing in the queue = 14