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Consider the following statements in respect of two natural numbers p and q such that p is a prime number and q is a composite number :
April 12, 2025
If  15 × 14 × 13 ×…………× 3 × 2 × 1 = 3^m × n, where m and n are positive integers, then what is the maximum value of m? 
April 12, 2025
The sum of three consecutive integers is equal to their product. How many such possibilities are there?
April 12, 2025
What is the number of numbers of the form 0.XY, where X and Y are distinct nonzero digits?
April 12, 2025
Let A, B and C represent distinct non zero digits. Suppose x is the sum of all possible 3-digit numbers formed by A, B and C without repetition.
April 12, 2025
There are three traffic signals. Each signal changes colour from green to red and then from red to green. The first signal takes 25 seconds, the second signal takes 39 seconds and the third signal takes 60 seconds to change the colour from green to red. The durations for green and red colours are same. At 2:00 p.m, they together turn green. At what time will they change to green next, simultaneously ?
March 10, 2025
Let pp, qq and rr be 2-digit numbers where     p < q < r. If  pp + qq + rr = tt0, where tt0 is a 3-digit number ending with zero, consider the following statements:                     
March 10, 2025
How many natural numbers are there which give a remainder of 31 when 1186 is divided by these natural numbers ?
March 10, 2025
AB and CD are 2-digit numbers. Multiplying AB with CD results in a 3-digit number DEF. Adding DEF to another 3-digit number GHI results in 975. Further A, B, C, D, E, F, G, H, I are distinct digits. If E = 0, F = 8 then what is A + B + C equal to ?
March 10, 2025
What is the remainder if  2^192  is divided by 6 ? 
March 10, 2025
Posted inUPSC CSAT

Consider the following statements in respect of two natural numbers p and q such that p is a prime number and q is a composite number :

Posted by By admin April 12, 2025
p×q can be an odd number. q÷p can be a prime number. p+q can be…
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Posted inUPSC CSAT

If  15 × 14 × 13 ×…………× 3 × 2 × 1 = 3^m × n, where m and n are positive integers, then what is the maximum value of m? 

Posted by By admin April 12, 2025
(UPSC CSAT - 2022) 7 6 5 4 Solution: Ans.(b) Power of 3 in 15!…
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Posted inUPSC CSAT

The sum of three consecutive integers is equal to their product. How many such possibilities are there?

Posted by By admin April 12, 2025
(UPSC CSAT - 2022) Only one Only two Only three No such possibility is there…
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Posted inUPSC CSAT

What is the number of numbers of the form 0.XY, where X and Y are distinct nonzero digits?

Posted by By admin April 12, 2025
(UPSC CSAT - 2022) 72 81 90 100 Solution: Ans.(a) X,Y ϵ {1, 2, 3,…
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Posted inUPSC CSAT

Let A, B and C represent distinct non zero digits. Suppose x is the sum of all possible 3-digit numbers formed by A, B and C without repetition.

Posted by By admin April 12, 2025
Consider the following statements : The 4-digit least value of x is 1332. The 3-digit…
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Posted inUPSC CSAT

There are three traffic signals. Each signal changes colour from green to red and then from red to green. The first signal takes 25 seconds, the second signal takes 39 seconds and the third signal takes 60 seconds to change the colour from green to red. The durations for green and red colours are same. At 2:00 p.m, they together turn green. At what time will they change to green next, simultaneously ?

Posted by By admin March 10, 2025
(UPSC CSAT - 2023) 4:00 p.m. 4:10 p.m. 4:20 p.m. 4:30 p.m. Solution: Ans.(2) Time…
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Posted inUPSC CSAT

Let pp, qq and rr be 2-digit numbers where     p < q < r. If  pp + qq + rr = tt0, where tt0 is a 3-digit number ending with zero, consider the following statements:                     

Posted by By admin March 10, 2025
1. The number of possible values of p is 5. 2. The number of possible…
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Posted inUPSC CSAT

How many natural numbers are there which give a remainder of 31 when 1186 is divided by these natural numbers ?

Posted by By admin March 10, 2025
(UPSC CSAT - 2023) 6 7 8 9 Solution: Ans.(4) All the factors of 1155…
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Posted inUPSC CSAT

AB and CD are 2-digit numbers. Multiplying AB with CD results in a 3-digit number DEF. Adding DEF to another 3-digit number GHI results in 975. Further A, B, C, D, E, F, G, H, I are distinct digits. If E = 0, F = 8 then what is A + B + C equal to ?

Posted by By admin March 10, 2025
(UPSC CSAT - 2023) 6 7 8 9 Solution: Ans.(1) So D & G should…
Read More
Posted inUPSC CSAT

What is the remainder if  2^192  is divided by 6 ? 

Posted by By admin March 10, 2025
(UPSC CSAT - 2023) 0 1 2 4 Solution: Ans.(4) 2192 / 6 = (2×2191) / 6…
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Recent Posts

  • Consider the following statements in respect of two natural numbers p and q such that p is a prime number and q is a composite number :
  • If  15 × 14 × 13 ×…………× 3 × 2 × 1 = 3^m × n, where m and n are positive integers, then what is the maximum value of m? 
  • The sum of three consecutive integers is equal to their product. How many such possibilities are there?
  • What is the number of numbers of the form 0.XY, where X and Y are distinct nonzero digits?
  • Let A, B and C represent distinct non zero digits. Suppose x is the sum of all possible 3-digit numbers formed by A, B and C without repetition.

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Posted inUPSC CSAT
Consider the following statements in respect of two natural numbers p and q such that p is a prime number and q is a composite number :
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If  15 × 14 × 13 ×…………× 3 × 2 × 1 = 3^m × n, where m and n are positive integers, then what is the maximum value of m? 
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The sum of three consecutive integers is equal to their product. How many such possibilities are there?
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What is the number of numbers of the form 0.XY, where X and Y are distinct nonzero digits?
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