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Which two signs should be interchanged to make the given equation correct? 17 × 4 + 6 ÷ 2 − 27 = 92
Correct Answer: 3. + and − Explanation: By interchanging the addition (+) and subtraction (−) signs, we get the correct equation: 17 × 4 - 6 ÷ 2 + 27 = 92 Steps to solve the correct equation: Multiplication: 17 × 4 = 68 Division: 68 - 6 ÷ 2 = 68 - 3 = 65 Addition: 65 + 27 = 92
Correct Answer: 3. + and −
Explanation:
By interchanging the addition (+) and subtraction (−) signs, we get the correct equation:
17 × 4 – 6 ÷ 2 + 27 = 92
Steps to solve the correct equation:
-
- Addition: 65 + 27 = 92
See lessThree of the following four letter-clusters are alike in a certain way and one is different. Pick the odd one out.
Correct Answer: 2. GET Explanation: In options 1, 3 and 4, the first and the third letters are the same when we move backwards in the alphabet. For example, E is the 5th letter from the start of the alphabet and V is the 5th letter from the end. Similarly, B is the 2nd letter from the start and Y isRead more
Correct Answer: 2. GET
Explanation: In options 1, 3 and 4, the first and the third letters are the same when we move backwards in the alphabet. For example, E is the 5th letter from the start of the alphabet and V is the 5th letter from the end. Similarly, B is the 2nd letter from the start and Y is the 2nd from the end. The same pattern applies to option 4. However, in option 2, this pattern is not followed, making it the odd one out.
See lessWhich two signs should be interchanged to make the given equation correct? 171 ÷ 3 − 16 + 72 × 412 = 572
Correct Answer: 1. × and − Explanation: To make the equation correct, we need to interchange the signs to ensure the arithmetic operations align with the result. Given equation: 171÷3−16+72×412=572 If we interchange the × (multiplication) and − (subtraction) signs, the equation becomes: 171÷3x16+72Read more
Correct Answer: 1. × and −
Explanation: To make the equation correct, we need to interchange the signs to ensure the arithmetic operations align with the result.
Given equation:
If we interchange the × (multiplication) and − (subtraction) signs, the equation becomes:
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Select the set in which the numbers are related in the same way as are the numbers of the following set. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits.) (4, 3, 16) (6, 4, 28)
Correct Answer: 2. (8, 2, 20) Explanation: (4, 3, 16) ...4*3+4=16 (6, 4, 28) 6*4+4=28 (8, 2, 20) 8*2+4=20
Correct Answer: 2. (8, 2, 20)
Explanation: (4, 3, 16) …4*3+4=16
(6, 4, 28) 6*4+4=28
(8, 2, 20) 8*2+4=20
See lessSelect the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number. 19 : 34 :: 5 : 6 :: 27 : ?
Correct Answer: 1. 50 Explanation: The relationship between the numbers in the sequence is based on a specific mathematical operation. To find the fifth number, we need to apply the same operation as we did between the second and first number, and between the fourth and third number. 19 to 34: 19×2−Read more
Correct Answer: 1. 50
Explanation: The relationship between the numbers in the sequence is based on a specific mathematical operation. To find the fifth number, we need to apply the same operation as we did between the second and first number, and between the fourth and third number.
19 to 34:
5 to 6:
So, applying the same operation to 27:
Thus, the correct answer is option 1.50
See lessThe marks obtained by 15 students out of a maximum of 25 in a test are given as 13, 11, 16, 15, 18, 12, 13, 14, 10, 22, 15, 21, 20, 17 and 24. Find the product of the modes of this set of data.
Correct Answer: 3. 195 Explanation: The mode of a data set is the value that appears most frequently. In this case, we need to find the number(s) that appear more than any other number in the list of marks. Looking at the data: 13, 11, 16, 15, 18, 12, 13, 14, 10, 22, 15, 21, 20, 17, 24 We can see thRead more
Correct Answer: 3. 195
Explanation:
The mode of a data set is the value that appears most frequently. In this case, we need to find the number(s) that appear more than any other number in the list of marks.
We can see that both 13 and 15 appear twice in the list. There are no other numbers that appear more than once.
Therefore, the data set has two modes: 13 and 15.
To find the product of the modes, we simply multiply these two numbers:
13 * 15 = 195
So, the product of the modes of this data set is 195.
See lessA person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?
Answer: Option (B) 7.2 Explanation: Speed = (600)/(5x60) m/sec. = 2 m/sec. Converting m/sec to km/hr (see important formulas section) = 2 x (18/5) km/hr = 7.2 km/hr.
Answer: Option (B) 7.2
Explanation:
Speed = (600)/(5×60) m/sec.
= 2 m/sec.
Converting m/sec to km/hr (see important formulas section)
= 2 x (18/5) km/hr
See less= 7.2 km/hr.
Two, trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is:
Answer: Option (B) 4 : 3 Explanation: Let us name the trains as A and B. Then, (A's speed) : (B's speed) = √b : √a = √16 : √9 = 4 : 3
Answer: Option (B) 4 : 3
See lessExplanation:
Let us name the trains as A and B. Then,
(A’s speed) : (B’s speed) = √b : √a = √16 : √9 = 4 : 3
Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?
Answer: Option (B) 10 a.m. Explanation: Suppose they meet x hours after 7 a.m. Distance covered by A in x hours = 20x km. Distance covered by B in (x - 1) hours = 25(x - 1) km. Therefore 20x + 25(x - 1) = 110 => 45x = 135 => x = 3. So, they meet at 10 a.m.
Answer: Option (B) 10 a.m.
Explanation:
Suppose they meet x hours after 7 a.m.
Distance covered by A in x hours = 20x km.
Distance covered by B in (x – 1) hours = 25(x – 1) km.
Therefore 20x + 25(x – 1) = 110
=> 45x = 135
=> x = 3.
So, they meet at 10 a.m.
See lessA train travelling at 48 kmph completely crosses another train having half its length and travelling in opposite direction at 42 kmph, in 12 seconds. It also passes a railway platform in 45 seconds. The length of the platform is
Answer: Option (A) 400 m Explanation: Let the length of the first train be x metres. Then, the length of the second train is x /2 metres. Relative speed = (48 + 42) kmph = 90 x (5/18) m/sec = 25 m/sec. Therefore [x + (x/2)]/25 = 12 or 3x/2 = 300 or x = 200. Therefore Length of first train = 200 m. LRead more
Answer: Option (A) 400 m
Explanation:
Let the length of the first train be x metres.
Then, the length of the second train is x /2 metres.
Relative speed = (48 + 42) kmph = 90 x (5/18) m/sec = 25 m/sec.
Therefore [x + (x/2)]/25 = 12 or 3x/2 = 300 or x = 200.
Therefore Length of first train = 200 m.
Let the length of platform be y metres.
Speed of the first train = 48 x (5/18) ( m/sec = 40/3 m/sec.
Therefore (200 + y) x( 3/40) = 45
=> 600 + 3y = 1800
=> y = 400 m.
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