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प्र: Calculate the number of bricks, each measuring 25 cm x 15 cm x 8 cm required to construct a wall of dimensions 10 m x 4 m x 5 m when 10% of its volume is occupied by concrete ? 1695 0

उत्तर : 1. "6000"
व्याख्या :
Answer: A) 6000 Explanation: Let 'B' be the nuber of bricks. => 10 x 4/100 x 5 x 90/100 = 25/100 x 15/100 x 8/100 x B => 10 x 20 x 90 = 15 x 2 x B => B = 6000

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 ? 1695 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: The difference between the squares of two consecutive odd integers is always divisible by ? 1693 0

उत्तर : 1. "8"
व्याख्या :
Answer: A) 8 Explanation: Let the two consecutive odd integers be (2x + 1) and (2x + 3)Then, (2x + 3)2 - (2x + 1)2 = (2x + 3 + 2x + 1) (2x + 3 - 2x - 1) = (4x + 4)(2)= 8 (x + 1), which is always divisible by 8

प्र: If K earns 12% less than L, then how much percent more does L earn than K ? 1691 0

उत्तर : 2. "13.63%"
व्याख्या :
Answer: B) 13.63% Explanation: Required % is given by => 12100-12x100 = 1200/88 = 13.636%

प्र: If a 36 cm thread is used to wrap a book, lengthwise twice and breadth wise once, what is the size of the book ? 1691 0

उत्तर : 1. "288 sq.cm"
व्याख्या :
Answer: A) 288 sq.cm Explanation: Length of the thread is 36 cms. length wise twice breath wise once then totally thrice.so 36/3 = 12.so length is 12 x 2 = 24 cmsbreath is 12 cmsArea of the book = length x breath = 24 x 12 = 288 sq.cm

प्र: Rajeev's age is four more than the age of Shilpa. The age of Shilpa can be obtained by subtracting four times her age 4 years ago from the four times her age after 4 years. What was Rajeev's age before 4 years ? 1686 0

उत्तर : 3. "32 years"
व्याख्या :
Answer: C) 32 years Explanation: Let Shilpa's present age is p years According to question, p = 4(x+4) – 4(x–4) p = 4x+16 – 4x+16 p = 32 Shilpa's present age = 32 years Rajeev is four years older than Shilpa => Shilpa's present age = Rajeev's age 4 years before. => Rajeev's age 4 years before = 32 years.

प्र: If 2 men and 3 women can do a piece of work in 8 days and 3 men and 2 women in 7 days. In how many days can the work be done by 5 men and 4 women working together? 1685 0

उत्तर : 3. "4 days"
व्याख्या :
Answer: C) 4 days Explanation: From the given data, => (2 M + 3W) 8 = (3M + 2W)7 => 16M + 24W = 21M + 14 W => 10W = 5M => 2W = M => 14W × ? = 7W × 8 ? = 4 days

प्र: Hemavathi gets 3 marks for each right sum and loses 2 marks for each wrong sum. He attempts 35 sums and obtains 60 marks. The number of sums attempted correctly is ? 1685 0

उत्तर : 4. "26"
व्याख्या :
Answer: D) 26 Explanation: Let, Hema attempted 'k' sum correctly, then k x 3 -2 x(35-k) = 605k = 130k = 26 so 26 correct sums.

प्र: Calculate the number of bricks, each measuring 25 cm x 15 cm x 8 cm required to construct a wall of dimensions 10 m x 4 m x 5 m when 10% of its volume is occupied by concrete ? 1695 05b5cc6eee4d2b4197774ef16

उत्तर : 1. "6000" व्याख्या :Answer: A) 6000 Explanation: Let 'B' be the nuber of bricks. => 10 x 4/100 x 5 x 90/100 = 25/100 x 15/100 x 8/100 x B => 10 x 20 x 90 = 15 x 2 x B => B = 6000

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 ? 1695 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: The difference between the squares of two consecutive odd integers is always divisible by ? 1693 05b5cc77fe4d2b419777501b5

उत्तर : 1. "8" व्याख्या :Answer: A) 8 Explanation: Let the two consecutive odd integers be (2x + 1) and (2x + 3)Then, (2x + 3)2 - (2x + 1)2 = (2x + 3 + 2x + 1) (2x + 3 - 2x - 1) = (4x + 4)(2)= 8 (x + 1), which is always divisible by 8

प्र: If K earns 12% less than L, then how much percent more does L earn than K ? 1691 05b5cc6c4e4d2b4197774dcb8

उत्तर : 2. "13.63%" व्याख्या :Answer: B) 13.63% Explanation: Required % is given by => 12100-12x100 = 1200/88 = 13.636%

प्र: If a 36 cm thread is used to wrap a book, lengthwise twice and breadth wise once, what is the size of the book ? 1691 05b5cc711e4d2b4197774f3dc

उत्तर : 1. "288 sq.cm" व्याख्या :Answer: A) 288 sq.cm Explanation: Length of the thread is 36 cms. length wise twice breath wise once then totally thrice.so 36/3 = 12.so length is 12 x 2 = 24 cmsbreath is 12 cmsArea of the book = length x breath = 24 x 12 = 288 sq.cm

प्र: Rajeev's age is four more than the age of Shilpa. The age of Shilpa can be obtained by subtracting four times her age 4 years ago from the four times her age after 4 years. What was Rajeev's age before 4 years ? 1686 05b5cc6c7e4d2b4197774dea5

प्र: If 2 men and 3 women can do a piece of work in 8 days and 3 men and 2 women in 7 days. In how many days can the work be done by 5 men and 4 women working together? 1685 05b5cc6bde4d2b4197774d924

उत्तर : 3. "4 days" व्याख्या :Answer: C) 4 days Explanation: From the given data, => (2 M + 3W) 8 = (3M + 2W)7 => 16M + 24W = 21M + 14 W => 10W = 5M => 2W = M => 14W × ? = 7W × 8 ? = 4 days

प्र: Hemavathi gets 3 marks for each right sum and loses 2 marks for each wrong sum. He attempts 35 sums and obtains 60 marks. The number of sums attempted correctly is ? 1685 05b5cc73de4d2b4197774f90c

उत्तर : 4. "26" व्याख्या :Answer: D) 26 Explanation: Let, Hema attempted 'k' sum correctly, then k x 3 -2 x(35-k) = 605k = 130k = 26 so 26 correct sums.

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प्र: Calculate the number of bricks, each measuring 25 cm x 15 cm x 8 cm required to construct a wall of dimensions 10 m x 4 m x 5 m when 10% of its volume is occupied by concrete ? 1695 0

उत्तर : 1. "6000"
व्याख्या :
Answer: A) 6000 Explanation: Let 'B' be the nuber of bricks. => 10 x 4/100 x 5 x 90/100 = 25/100 x 15/100 x 8/100 x B => 10 x 20 x 90 = 15 x 2 x B => B = 6000

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 ? 1695 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: The difference between the squares of two consecutive odd integers is always divisible by ? 1693 0

उत्तर : 1. "8"
व्याख्या :
Answer: A) 8 Explanation: Let the two consecutive odd integers be (2x + 1) and (2x + 3)Then, (2x + 3)2 - (2x + 1)2 = (2x + 3 + 2x + 1) (2x + 3 - 2x - 1) = (4x + 4)(2)= 8 (x + 1), which is always divisible by 8

प्र: If K earns 12% less than L, then how much percent more does L earn than K ? 1691 0

उत्तर : 2. "13.63%"
व्याख्या :
Answer: B) 13.63% Explanation: Required % is given by => 12100-12x100 = 1200/88 = 13.636%

प्र: If a 36 cm thread is used to wrap a book, lengthwise twice and breadth wise once, what is the size of the book ? 1691 0

उत्तर : 1. "288 sq.cm"
व्याख्या :
Answer: A) 288 sq.cm Explanation: Length of the thread is 36 cms. length wise twice breath wise once then totally thrice.so 36/3 = 12.so length is 12 x 2 = 24 cmsbreath is 12 cmsArea of the book = length x breath = 24 x 12 = 288 sq.cm

प्र: Rajeev's age is four more than the age of Shilpa. The age of Shilpa can be obtained by subtracting four times her age 4 years ago from the four times her age after 4 years. What was Rajeev's age before 4 years ? 1686 0

प्र: If 2 men and 3 women can do a piece of work in 8 days and 3 men and 2 women in 7 days. In how many days can the work be done by 5 men and 4 women working together? 1685 0

उत्तर : 3. "4 days"
व्याख्या :
Answer: C) 4 days Explanation: From the given data, => (2 M + 3W) 8 = (3M + 2W)7 => 16M + 24W = 21M + 14 W => 10W = 5M => 2W = M => 14W × ? = 7W × 8 ? = 4 days

प्र: Hemavathi gets 3 marks for each right sum and loses 2 marks for each wrong sum. He attempts 35 sums and obtains 60 marks. The number of sums attempted correctly is ? 1685 0

उत्तर : 4. "26"
व्याख्या :
Answer: D) 26 Explanation: Let, Hema attempted 'k' sum correctly, then k x 3 -2 x(35-k) = 605k = 130k = 26 so 26 correct sums.