Examsbook | Hand picked material and question banks

प्र: Two bus tickets from city K to L and three tickets from city K to M cost Rs. 77, but three tickets from city K to L and two tickets from city K to M cost Rs. 73. What are the fares for cities L and M from K ? 1811 0

उत्तर : 1. "Rs. 13 and Rs. 17"
व्याख्या :
Answer: A) Rs. 13 and Rs. 17 Explanation: If fares for cities L and M from K are x and y respectively, then 2x + 3y = 77 or 6x + 9y = 231...(1)3x + 2y = 73 or 6x + 4y = 146...(2) subtracting 2 from 1, we get 5y = 85 y = Rs. 17 => x = Rs. 13

प्र: Consider the following statements P : Suman is brilliantQ : Suman is richR : Suman is honest The negation of the statement "Suman is brilliant and dishonest if and only if Suman is rich" can be expressed as 1) P∧~R↔Q 2) ~P∧R↔Q 3) Q↔P∧~R 4) ~Q↔P∧~R 1227 0

उत्तर : 4. "4"
व्याख्या :
Answer: D) 4 Explanation: Suman is brilliant and dishonest is P ∧~ RSuman is brilliant and dishonest iff suman is rich isQ ↔ (P ∧ ~ R) Negative of statement is expressed as~ (Q ↔(P ∧ ~ R)).

प्र: Consider 5 independent Bernoulli’s trials each with probability of success p. If the probability of at least one failure is greater than or equal to 31/32 , then p lies in the interval ? 1064 0

उत्तर : 3. "[1, 1/2]"
व्याख्या :
Answer: C) [1, 1/2] Explanation: Probability of atleast one failure= 1 - no failure > 31/32= 1 - P5 > 31/32= P5<1/32= p < 1/2Also p > 0Hence p lies in [0,1/2].

प्र: A man saves Rs. 200 in each of the first three months of his service. In each of the subsequent months his saving increases by Rs. 40 more than the saving of immediately previous month. His total saving from the start of service will be Rs. 11040 after ? 1799 0

उत्तर : 2. "21 months"
व्याख्या :
Answer: B) 21 months Explanation: Total savings = 200 + 200 + 200 + 240 + 280 + ... to n months = 11040 = 120 + 80 + 160 + 40 + 200 + 240 + ....n terms= 40 + 80 + 120 + 160 + 200 + 240 + ...n terms= n/2[2a + (n-1)d] + 80 + 40 = 11040= n/2[240 + (n-1)40] = 10920= n[6+n-1] = 546= n[n+5] = 546n = 21

प्र: Three friends had dinner at a restaurant. When the bill was received, Akshitha paid 2/3 as much as Veena paid and Veena paid 1/2 as much as Lasya paid. What fraction of the bill did Veena pay ? 1424 0

उत्तर : 3. "3/11"
व्याख्या :
Answer: C) 3/11 Explanation: Let Veena paid x,so Akshitha paid 2x/3 , and Lasya paid 2x,So total bill paid is given byx+(2x/3) +2x = 1, we geti.e. x = 3/11

प्र: A bird lover was asked how many birds he had in the basket. He replied that there were all parrots but six, all pigeons but six, and all koel but six. How many birds he had in the basket in all ? 2815 0

उत्तर : 3. "9"
व्याख्या :
Answer: C) 9 Explanation: There were all parrots but six means that six birds were not parrots but only pigeons and koels. Similarly, number of parrots + number of koels = 6 and number of parrots + number of pigeons = 6. This is possible when there are 3 parrots, 3 pigeons and 3 koels i.e. 9 birds in all.

प्र: An intelligent boy is doing a jigsaw with 275 pieces. Each day that he fits pieces together there are fewer pieces left, and it is reasonable to assume that he fits more pieces each day because the number left to sort out diminishes progressively. Hence he is able to fit an extra piece as each day goes by. On the first day he fits 20 pieces. How many days does it take for him to complete the puzzle ? 2193 0

उत्तर : 1. "11 days"
व्याख्या :
Answer: A) 11 days Explanation: Let 'n' number of days it take to complete. we know that sum of n number= n/2[2a+(n-1)d]where a=20,d=1;n/2[2x20+(n-1)1]=275n[n+39]=550n2 + 39n - 550 = 0 n2+ 50n - 11n - 550 = 0(n-11) (n-50) = 0n-11 = 0;n = 11(Days).

प्र: Ravi and Ramu are partners in a business.Ravi contributes 1/6 of the capital for 16 months and Ramu received 2/3 of the profit. For how long Ramu's money was used ? 1828 0

उत्तर : 4. "8 months"
व्याख्या :
Answer: D) 8 months Explanation: Let the total Profit be Z.Ramu's profit share is 2/3 of profit (i.e 2Z/3)Ravi's profit is (Z-2Z/3) =Z/3Hence the profit ratio is , Ravi : Ramu = Z/3 : 2Z/3 = 1:2 Let total Capital be Rs.X and Ramu has contributed for Y months.Since Ramu's profit share is 2/3, his invest share will be 2/3 in capital. Ravi's invest for 16 months / Ramu's invest for Y months = Ravi's profit share / Ramu's profit sharei.e. (X/6 x 16) / (2X/3 x Y) = 1/2 Solving the above equation, we get Y = 8.So Ramu's money has been used for 8 months.

प्र: Two bus tickets from city K to L and three tickets from city K to M cost Rs. 77, but three tickets from city K to L and two tickets from city K to M cost Rs. 73. What are the fares for cities L and M from K ? 1811 0

प्र: Consider the following statements P : Suman is brilliantQ : Suman is richR : Suman is honest The negation of the statement "Suman is brilliant and dishonest if and only if Suman is rich" can be expressed as 1) P∧~R↔Q 2) ~P∧R↔Q 3) Q↔P∧~R 4) ~Q↔P∧~R 1227 0

उत्तर : 4. "4"
व्याख्या :
Answer: D) 4 Explanation: Suman is brilliant and dishonest is P ∧~ RSuman is brilliant and dishonest iff suman is rich isQ ↔ (P ∧ ~ R) Negative of statement is expressed as~ (Q ↔(P ∧ ~ R)).

प्र: Consider 5 independent Bernoulli’s trials each with probability of success p. If the probability of at least one failure is greater than or equal to 31/32 , then p lies in the interval ? 1064 0

उत्तर : 3. "[1, 1/2]"
व्याख्या :
Answer: C) [1, 1/2] Explanation: Probability of atleast one failure= 1 - no failure > 31/32= 1 - P5 > 31/32= P5<1/32= p < 1/2Also p > 0Hence p lies in [0,1/2].

प्र: A man saves Rs. 200 in each of the first three months of his service. In each of the subsequent months his saving increases by Rs. 40 more than the saving of immediately previous month. His total saving from the start of service will be Rs. 11040 after ? 1799 0

प्र: Three friends had dinner at a restaurant. When the bill was received, Akshitha paid 2/3 as much as Veena paid and Veena paid 1/2 as much as Lasya paid. What fraction of the bill did Veena pay ? 1424 0

उत्तर : 3. "3/11"
व्याख्या :
Answer: C) 3/11 Explanation: Let Veena paid x,so Akshitha paid 2x/3 , and Lasya paid 2x,So total bill paid is given byx+(2x/3) +2x = 1, we geti.e. x = 3/11

प्र: A bird lover was asked how many birds he had in the basket. He replied that there were all parrots but six, all pigeons but six, and all koel but six. How many birds he had in the basket in all ? 2815 0

प्र: Ravi and Ramu are partners in a business.Ravi contributes 1/6 of the capital for 16 months and Ramu received 2/3 of the profit. For how long Ramu's money was used ? 1828 0

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: Two bus tickets from city K to L and three tickets from city K to M cost Rs. 77, but three tickets from city K to L and two tickets from city K to M cost Rs. 73. What are the fares for cities L and M from K ? 1811 05b5cc720e4d2b4197774f5e0

उत्तर : 4. "4" व्याख्या :Answer: D) 4 Explanation: Suman is brilliant and dishonest is P ∧~ RSuman is brilliant and dishonest iff suman is rich isQ ↔ (P ∧ ~ R) Negative of statement is expressed as~ (Q ↔(P ∧ ~ R)).

प्र: Consider 5 independent Bernoulli’s trials each with probability of success p. If the probability of at least one failure is greater than or equal to 31/32 , then p lies in the interval ? 1064 05b5cc71ee4d2b4197774f5c7

उत्तर : 3. "[1, 1/2]" व्याख्या :Answer: C) [1, 1/2] Explanation: Probability of atleast one failure= 1 - no failure > 31/32= 1 - P5 > 31/32= P5<1/32= p < 1/2Also p > 0Hence p lies in [0,1/2].

प्र: A man saves Rs. 200 in each of the first three months of his service. In each of the subsequent months his saving increases by Rs. 40 more than the saving of immediately previous month. His total saving from the start of service will be Rs. 11040 after ? 1799 05b5cc71ee4d2b4197774f5b8

प्र: Three friends had dinner at a restaurant. When the bill was received, Akshitha paid 2/3 as much as Veena paid and Veena paid 1/2 as much as Lasya paid. What fraction of the bill did Veena pay ? 1424 05b5cc71ee4d2b4197774f5ae

उत्तर : 3. "3/11" व्याख्या :Answer: C) 3/11 Explanation: Let Veena paid x,so Akshitha paid 2x/3 , and Lasya paid 2x,So total bill paid is given byx+(2x/3) +2x = 1, we geti.e. x = 3/11

प्र: A bird lover was asked how many birds he had in the basket. He replied that there were all parrots but six, all pigeons but six, and all koel but six. How many birds he had in the basket in all ? 2815 05b5cc71ee4d2b4197774f5a9

प्र: Ravi and Ramu are partners in a business.Ravi contributes 1/6 of the capital for 16 months and Ramu received 2/3 of the profit. For how long Ramu's money was used ? 1828 05b5cc71ee4d2b4197774f590

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: Two bus tickets from city K to L and three tickets from city K to M cost Rs. 77, but three tickets from city K to L and two tickets from city K to M cost Rs. 73. What are the fares for cities L and M from K ? 1811 0

उत्तर : 4. "4"
व्याख्या :
Answer: D) 4 Explanation: Suman is brilliant and dishonest is P ∧~ RSuman is brilliant and dishonest iff suman is rich isQ ↔ (P ∧ ~ R) Negative of statement is expressed as~ (Q ↔(P ∧ ~ R)).

प्र: Consider 5 independent Bernoulli’s trials each with probability of success p. If the probability of at least one failure is greater than or equal to 31/32 , then p lies in the interval ? 1064 0

उत्तर : 3. "[1, 1/2]"
व्याख्या :
Answer: C) [1, 1/2] Explanation: Probability of atleast one failure= 1 - no failure > 31/32= 1 - P5 > 31/32= P5<1/32= p < 1/2Also p > 0Hence p lies in [0,1/2].

प्र: A man saves Rs. 200 in each of the first three months of his service. In each of the subsequent months his saving increases by Rs. 40 more than the saving of immediately previous month. His total saving from the start of service will be Rs. 11040 after ? 1799 0

प्र: Three friends had dinner at a restaurant. When the bill was received, Akshitha paid 2/3 as much as Veena paid and Veena paid 1/2 as much as Lasya paid. What fraction of the bill did Veena pay ? 1424 0

उत्तर : 3. "3/11"
व्याख्या :
Answer: C) 3/11 Explanation: Let Veena paid x,so Akshitha paid 2x/3 , and Lasya paid 2x,So total bill paid is given byx+(2x/3) +2x = 1, we geti.e. x = 3/11

प्र: A bird lover was asked how many birds he had in the basket. He replied that there were all parrots but six, all pigeons but six, and all koel but six. How many birds he had in the basket in all ? 2815 0

प्र: Ravi and Ramu are partners in a business.Ravi contributes 1/6 of the capital for 16 months and Ramu received 2/3 of the profit. For how long Ramu's money was used ? 1828 0