Solved Maths Questions of Secretary (LSGD)
This post contains detailed solution for Maths questions that were asked in the Kerala PSCSecretary (LSGD), which was conducted on November 09, 2024.
1.A bag contain 50p, 25p and 10p coins in the ratio 5 : 9 : 4, amounting to Rs. 206. Find thenumber of 10p coins.
10p coins = .10 × 4x = 0.4x rupees
∴  Total Value of coins = 2.5x + 2.25x + 0.4x = 206 (∵ Total value of coins is given as 206)
= x = 40(3)
| Item | Detail |
|---|---|
| Which of the following interchanges of signs would make the given equation correct?100 + 100 × 50 | 2 ÷ 3 = 51A) – and ×B)+ and ÷C)+ and ×D)+ and –Explanation:In here, our goals is to get LHS (left hand side) & RHSright hand side)equal, ie by interchanging the signs we should get 51 in the LHS and 51 on the RHS |
| For that we'll solve it by substituting the options in given the question,Step 1: | and ×100 + 100 ×50 – 2÷ 3 = 51Substituting - &× and applying BODMAS rule,100 + 100 ×50×2÷ 3 = 51100 + 10000 ÷ 3 = 51100 +  3333.33 = 513433.33 = 51∴   LHS ≠RHSStep 2:  + and ÷100 + 100×50 – 2÷ 3 = 51Substituting + &÷ and applying BODMAS rule,100 ÷ 100×50–2÷ 3 = 511 × 50 - 2 + 3 = 5150 + 3 - 2 = 5153 - 2 = 5151 = 51∴   LHS = RHS (we can stop here, as we got the answer or can continue checking the other options)Solution∴Option B is the correct answer |
| Day of the week = Tuesday (A remainder of 2 corresponds to Tuesday)Solution∴June 4, 2002, was a Tuesday.7.(25√5)x= (3√5)x + 1, what does x equal?A) 1/5B) 2/13C) 2/15      D) 5/3Explanation:(25√5)x= (52+1/2)x(3√5)x + 1= (51/3)x+1(52+1/2)x= (51/3)x+155x/2= 5x+1/35x/2 = x+1/315x = 2x+213x = 2x = 2/13Solution∴x = 2/138.25% of 24 + 25% of 32 | 14% of 350 = ?A) -35B) 35C) -30      D) 30Explanation:= (25/100 × 24) +(25/100 × 32)– (14/100 × 350)= 6 + 8 – 49= -35Solution∴The answer is -35 |
Which of the following interchanges of signs would make the given equation correct?100 + 100 × 50
2 ÷ 3 = 51A) – and ×B)+ and ÷C)+ and ×D)+ and –Explanation:In here, our goals is to get LHS (left hand side) & RHSright hand side)equal, ie by interchanging the signs we should get 51 in the LHS and 51 on the RHS
For that we'll solve it by substituting the options in given the question,Step 1:
and ×100 + 100 ×50 – 2÷ 3 = 51Substituting - &× and applying BODMAS rule,100 + 100 ×50×2÷ 3 = 51100 + 10000 ÷ 3 = 51100 +  3333.33 = 513433.33 = 51∴   LHS ≠RHSStep 2:  + and ÷100 + 100×50 – 2÷ 3 = 51Substituting + &÷ and applying BODMAS rule,100 ÷ 100×50–2÷ 3 = 511 × 50 - 2 + 3 = 5150 + 3 - 2 = 5153 - 2 = 5151 = 51∴   LHS = RHS (we can stop here, as we got the answer or can continue checking the other options)Solution∴Option B is the correct answer
Day of the week = Tuesday (A remainder of 2 corresponds to Tuesday)Solution∴June 4, 2002, was a Tuesday.7.(25√5)x= (3√5)x + 1, what does x equal?A) 1/5B) 2/13C) 2/15      D) 5/3Explanation:(25√5)x= (52+1/2)x(3√5)x + 1= (51/3)x+1(52+1/2)x= (51/3)x+155x/2= 5x+1/35x/2 = x+1/315x = 2x+213x = 2x = 2/13Solution∴x = 2/138.25% of 24 + 25% of 32
14% of 350 = ?A) -35B) 35C) -30      D) 30Explanation:= (25/100 × 24) +(25/100 × 32)– (14/100 × 350)= 6 + 8 – 49= -35Solution∴The answer is -35