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प्र: A train 900 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is ? 1250 0

उत्तर : 1. "400 m"
व्याख्या :
Answer: A) 400 m Explanation: Speed = 78 x 5/18 = 65/3 m/sec.Time = 1 min = 60 sec.Let the length of the train be x meters.Then, (900 + x)/60 = 65/3x = 400 m.

प्र: A certain sum is invested at simple interest at 18% p.a. for two years instead of investing at 12% p.a. for the same time period. Therefore the interest received is more by Rs. 840. Find the sum ? 1250 0

उत्तर : 3. "Rs. 7000"
व्याख्या :
Answer: C) Rs. 7000 Explanation: Let the sum be Rs. S.(S x 18 x 2)/100 - (S x 12 x 2)/100 = 840 => 36S/100 - 24S/100 = 840 => 12S/100 = 840 => S = 7000.

प्र: Milk and water are mixed in a vessel A as 4:1 and in vessel B as 3:2. For vessel C, if one takes equal quantities from A and B, find the ratio of milk to water in C. 1248 0

उत्तर : 4. "7:3"
व्याख्या :
Answer: D) 7:3 Explanation: Ratio of Milk and water in a vessel A is 4 : 1 Ratio of Milk and water in a vessel B is 3 : 2 Ratio of only milk in vessel A = 4 : 5 Ratio of only milk in vessel B = 3 : 5 Let 'x' be the quantity of milk in vessel C Now as equal quantities are taken out from both vessels A & B => 4/5 : 3/5 x 3/5-x x - 4/5 => 35-xx-45 = 11 (equal quantities) => x = 7/10 Therefore, quantity of milk in vessel C = 7 => Water quantity = 10 - 7 = 3 Hence the ratio of milk & water in vessel 3 is 7 : 3

प्र: Two dice are rolled simultaneously. Find the probability of getting the sum of numbers on the on the two faces divisible by 3 or 4? 1244 0

उत्तर : 3. "5/9"
व्याख्या :
Answer: C) 5/9 Explanation: Here n(S) = 6 x 6 = 36 E={(1,2),(1,5),(2,1),(2,4),(3,3),(3,6),(4,2),(4,5),(5,1),(5,4),(6,3) ,(6,6),(1,3),(2,2),(2,6),(3,1),(3,5), (4,4),(5,3),(6,2)} => n(E)=20 Required Probability n(P) = n(E)/n(S) = 20/36 = 5/9.

प्र: Simplify the following : 4 15 × 3 13 + ? = 20% of 120 1235 0

उत्तर : 1. "10"
व्याख्या :
Answer: A) 10 Explanation: Given equation can be written as 215 x 103 + ? = 24=> 14 + ? = 24=> ? = 24 - 14=> ? = 10

प्र: The area of a square is equal to the area of a rectangle. The length of the rectangle is 5 cm more than a side of the square and its breadth is 3 cm less than the side of the square. What is the perimeter of the rectangle ? 1230 0

उत्तर : 3. "34 cm"
व्याख्या :
Answer: C) 34 cm Explanation: Let the side of the square be 's' cm length of rectangle = (s+5) cm breadth of rectangle = (s-3)cm (s+5) (s-3) = s2 - 5s - 3s - 15 = s2 2s = 15 Perimeter of rectangle = 2(L+B) = 2(s+5 + s–3) = 2(2s + 2) = 2(15 + 2) = 34 cm

प्र: 10 boys can complete a work in 7 days and 10 girls take 14 days to complete the work. How many days will 5 boys and 10 girls take to complete the work ? 1227 0

उत्तर : 3. "7 days"
व्याख्या :
Answer: C) 7 days Explanation: 1 boy's 1 day work = 1/70 1 girl's 1 day work = 1/140 (5 boys + 10 girls)'s 1 day work = (5/70 + 10/140) = (1/14 + 1/14) = 1/7 5 boys and 10 girls will complete the work in 7 days.

प्र: A certain amount earns simple interest of Rs. 2260 after 3 years. Had the interest been 1 % more how much more interest would it have earned ? 1227 0

उत्तर : 4. "Can't be determined"
व्याख्या :
Answer: D) Can't be determined Explanation: Here given Interest earned = Rs. 2260 Time = 3 years Rate of interest = ? Principal Amount = ? So, it can't be determined.

प्र: A train 900 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is ? 1250 0

उत्तर : 1. "400 m"
व्याख्या :
Answer: A) 400 m Explanation: Speed = 78 x 5/18 = 65/3 m/sec.Time = 1 min = 60 sec.Let the length of the train be x meters.Then, (900 + x)/60 = 65/3x = 400 m.

प्र: A certain sum is invested at simple interest at 18% p.a. for two years instead of investing at 12% p.a. for the same time period. Therefore the interest received is more by Rs. 840. Find the sum ? 1250 0

उत्तर : 3. "Rs. 7000"
व्याख्या :
Answer: C) Rs. 7000 Explanation: Let the sum be Rs. S.(S x 18 x 2)/100 - (S x 12 x 2)/100 = 840 => 36S/100 - 24S/100 = 840 => 12S/100 = 840 => S = 7000.

प्र: Milk and water are mixed in a vessel A as 4:1 and in vessel B as 3:2. For vessel C, if one takes equal quantities from A and B, find the ratio of milk to water in C. 1248 0

प्र: Two dice are rolled simultaneously. Find the probability of getting the sum of numbers on the on the two faces divisible by 3 or 4? 1244 0

उत्तर : 3. "5/9"
व्याख्या :
Answer: C) 5/9 Explanation: Here n(S) = 6 x 6 = 36 E={(1,2),(1,5),(2,1),(2,4),(3,3),(3,6),(4,2),(4,5),(5,1),(5,4),(6,3) ,(6,6),(1,3),(2,2),(2,6),(3,1),(3,5), (4,4),(5,3),(6,2)} => n(E)=20 Required Probability n(P) = n(E)/n(S) = 20/36 = 5/9.

प्र: Simplify the following : 4 15 × 3 13 + ? = 20% of 120 1235 0

उत्तर : 1. "10"
व्याख्या :
Answer: A) 10 Explanation: Given equation can be written as 215 x 103 + ? = 24=> 14 + ? = 24=> ? = 24 - 14=> ? = 10

प्र: The area of a square is equal to the area of a rectangle. The length of the rectangle is 5 cm more than a side of the square and its breadth is 3 cm less than the side of the square. What is the perimeter of the rectangle ? 1230 0

प्र: 10 boys can complete a work in 7 days and 10 girls take 14 days to complete the work. How many days will 5 boys and 10 girls take to complete the work ? 1227 0

उत्तर : 3. "7 days"
व्याख्या :
Answer: C) 7 days Explanation: 1 boy's 1 day work = 1/70 1 girl's 1 day work = 1/140 (5 boys + 10 girls)'s 1 day work = (5/70 + 10/140) = (1/14 + 1/14) = 1/7 5 boys and 10 girls will complete the work in 7 days.

प्र: A certain amount earns simple interest of Rs. 2260 after 3 years. Had the interest been 1 % more how much more interest would it have earned ? 1227 0

उत्तर : 4. "Can't be determined"
व्याख्या :
Answer: D) Can't be determined Explanation: Here given Interest earned = Rs. 2260 Time = 3 years Rate of interest = ? Principal Amount = ? So, it can't be determined.

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प्र: A train 900 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is ? 1250 05b5cc6dce4d2b4197774e99c

उत्तर : 1. "400 m" व्याख्या :Answer: A) 400 m Explanation: Speed = 78 x 5/18 = 65/3 m/sec.Time = 1 min = 60 sec.Let the length of the train be x meters.Then, (900 + x)/60 = 65/3x = 400 m.

प्र: A certain sum is invested at simple interest at 18% p.a. for two years instead of investing at 12% p.a. for the same time period. Therefore the interest received is more by Rs. 840. Find the sum ? 1250 05b5cc6e2e4d2b4197774ec39

उत्तर : 3. "Rs. 7000" व्याख्या :Answer: C) Rs. 7000 Explanation: Let the sum be Rs. S.(S x 18 x 2)/100 - (S x 12 x 2)/100 = 840 => 36S/100 - 24S/100 = 840 => 12S/100 = 840 => S = 7000.

प्र: Milk and water are mixed in a vessel A as 4:1 and in vessel B as 3:2. For vessel C, if one takes equal quantities from A and B, find the ratio of milk to water in C. 1248 05b5cc6c7e4d2b4197774dec8

प्र: Two dice are rolled simultaneously. Find the probability of getting the sum of numbers on the on the two faces divisible by 3 or 4? 1244 05b5cc6bbe4d2b4197774d811

उत्तर : 3. "5/9" व्याख्या :Answer: C) 5/9 Explanation: Here n(S) = 6 x 6 = 36 E={(1,2),(1,5),(2,1),(2,4),(3,3),(3,6),(4,2),(4,5),(5,1),(5,4),(6,3) ,(6,6),(1,3),(2,2),(2,6),(3,1),(3,5), (4,4),(5,3),(6,2)} => n(E)=20 Required Probability n(P) = n(E)/n(S) = 20/36 = 5/9.

प्र: Simplify the following : 4 15 × 3 13 + ? = 20% of 120 1235 05b5cc6a8e4d2b4197774ce71

उत्तर : 1. "10" व्याख्या :Answer: A) 10 Explanation: Given equation can be written as 215 x 103 + ? = 24=> 14 + ? = 24=> ? = 24 - 14=> ? = 10

प्र: The area of a square is equal to the area of a rectangle. The length of the rectangle is 5 cm more than a side of the square and its breadth is 3 cm less than the side of the square. What is the perimeter of the rectangle ? 1230 05b5cc6c0e4d2b4197774db0f

प्र: 10 boys can complete a work in 7 days and 10 girls take 14 days to complete the work. How many days will 5 boys and 10 girls take to complete the work ? 1227 05b5cc6dee4d2b4197774ea85

उत्तर : 3. "7 days" व्याख्या :Answer: C) 7 days Explanation: 1 boy's 1 day work = 1/70 1 girl's 1 day work = 1/140 (5 boys + 10 girls)'s 1 day work = (5/70 + 10/140) = (1/14 + 1/14) = 1/7 5 boys and 10 girls will complete the work in 7 days.

प्र: A certain amount earns simple interest of Rs. 2260 after 3 years. Had the interest been 1 % more how much more interest would it have earned ? 1227 05b5cc6c1e4d2b4197774db78

उत्तर : 4. "Can't be determined" व्याख्या :Answer: D) Can't be determined Explanation: Here given Interest earned = Rs. 2260 Time = 3 years Rate of interest = ? Principal Amount = ? So, it can't be determined.

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प्र: A train 900 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is ? 1250 0

उत्तर : 1. "400 m"
व्याख्या :
Answer: A) 400 m Explanation: Speed = 78 x 5/18 = 65/3 m/sec.Time = 1 min = 60 sec.Let the length of the train be x meters.Then, (900 + x)/60 = 65/3x = 400 m.

प्र: A certain sum is invested at simple interest at 18% p.a. for two years instead of investing at 12% p.a. for the same time period. Therefore the interest received is more by Rs. 840. Find the sum ? 1250 0

उत्तर : 3. "Rs. 7000"
व्याख्या :
Answer: C) Rs. 7000 Explanation: Let the sum be Rs. S.(S x 18 x 2)/100 - (S x 12 x 2)/100 = 840 => 36S/100 - 24S/100 = 840 => 12S/100 = 840 => S = 7000.

प्र: Milk and water are mixed in a vessel A as 4:1 and in vessel B as 3:2. For vessel C, if one takes equal quantities from A and B, find the ratio of milk to water in C. 1248 0

प्र: Two dice are rolled simultaneously. Find the probability of getting the sum of numbers on the on the two faces divisible by 3 or 4? 1244 0

उत्तर : 3. "5/9"
व्याख्या :
Answer: C) 5/9 Explanation: Here n(S) = 6 x 6 = 36 E={(1,2),(1,5),(2,1),(2,4),(3,3),(3,6),(4,2),(4,5),(5,1),(5,4),(6,3) ,(6,6),(1,3),(2,2),(2,6),(3,1),(3,5), (4,4),(5,3),(6,2)} => n(E)=20 Required Probability n(P) = n(E)/n(S) = 20/36 = 5/9.

प्र: Simplify the following : 4 15 × 3 13 + ? = 20% of 120 1235 0

उत्तर : 1. "10"
व्याख्या :
Answer: A) 10 Explanation: Given equation can be written as 215 x 103 + ? = 24=> 14 + ? = 24=> ? = 24 - 14=> ? = 10

प्र: The area of a square is equal to the area of a rectangle. The length of the rectangle is 5 cm more than a side of the square and its breadth is 3 cm less than the side of the square. What is the perimeter of the rectangle ? 1230 0

प्र: 10 boys can complete a work in 7 days and 10 girls take 14 days to complete the work. How many days will 5 boys and 10 girls take to complete the work ? 1227 0

उत्तर : 3. "7 days"
व्याख्या :
Answer: C) 7 days Explanation: 1 boy's 1 day work = 1/70 1 girl's 1 day work = 1/140 (5 boys + 10 girls)'s 1 day work = (5/70 + 10/140) = (1/14 + 1/14) = 1/7 5 boys and 10 girls will complete the work in 7 days.

प्र: A certain amount earns simple interest of Rs. 2260 after 3 years. Had the interest been 1 % more how much more interest would it have earned ? 1227 0

उत्तर : 4. "Can't be determined"
व्याख्या :
Answer: D) Can't be determined Explanation: Here given Interest earned = Rs. 2260 Time = 3 years Rate of interest = ? Principal Amount = ? So, it can't be determined.