This post contains detailed solution for Maths questions that were asked in the Kerala PSC Theatre Assistant / Museum Attendant (Main Exam), which was conducted on December 05, 2024.
1. x ന്റെ 15 ശതമാനം എന്നത് yയുടെ 20 ശതമാനത്തിന് തുല്യമായാൽ x:y എത്ര?
- A) 3:5 B) 4:3 C) 9:6 D) 6:9
Explanation:
Given,
15 percent of x = 15/100 × x = 0.15x
20 percent of y = 20/100 × y = 0.20y
∴ 0.15x = 0.20y
∴ x = (0.20/0.15) × y
x = (4/3) × y
∴ x:y = 4:3
Solution
∴ The ratio of x:y is 4:3.
2. ഒരു ക്ലാസ്സിലെ 10 കുട്ടികൾ പരസ്പരം ഹസ്തദാനം നൽകിയാൽ അകെ എത്ര ഹസ്തദാനം നടക്കും?
Explanation:
By using the formula, nCr = n! / (r! × (n-r)!),
n =10, r = 2 (2 handshakes) (given)
Number of combinations = 10C2
= 10! / (2! × (10-2)!)
= 10! / (2! × 8!)
= (10 × 9 × 8!) / (2 × 1 × 8!)
= (10 × 9) / 2
= 45
Solution
∴ There will be 45 handshakes.
3. 4701 നോട് ഏത് സംഖ്യ കൂട്ടിയാൽ തൊട്ടടുത്തുള്ള പൂർണ വർഗം ആകും?
Explanation:
A perfect square is a number that can be simplified or expressed as product of integer with itself ie, it's the result of squaring a whole number.
Given, A square number is added to 4071 to make it perfect square.
∴ To find the nearest whole square to 4701, we'll find the square root of 4701 and round it to the nearest integer.
√4701= 68.56
So, the nearest whole squares are 68 and 69.
∴ 68² = 4624
69² = 4761
To find the nearest square, 69² – 68² = 4761 – 4624 = 60
Solution
∴ 60 should be added to 4701 to form the nearest whole square.
4. 4 × 5 + (14 + 8) – 36 ÷ 9 എത്ര?
Explanation:
4 × 5 + (14 + 8) – 36 ÷ 9
= 20 + (14 + 8) – 36 ÷ 9
= 20 + 22 – 36 ÷ 9
= 20 + 22 − 4
= 38
Solution
∴ Correct answer is Option D) 38.
5. 1 മുതൽ 50 വരെയുള്ള തുടർച്ചയായ എന്നാൽ സംഖ്യകളുടെ തുക എത്ര?
- A) 1275 B) 1400 C) 1330 D) 1425
Explanation:
By using the formula, to find the sum of consecutive numbers from 1 to n
Sum = n(n+1)/2
Given n=50
∴ Sum = 50 (50+1)/2
= 50 × 51 / 2
= 1275
Solution
∴ The sum of consecutive counting numbers from 1 to 50 is 1275.
6. 15 പോസ്റ്റ് കാർഡിന്റെ വില 2.25 രൂപ ആണെങ്കിൽ 36 പോസ്റ്റ് കാർഡിന്റെ വില എത്ര?
- A) 54 B) .54 C) 5.4 D) .054
Explanation:
Given, 15 postcards cost Rs 2.25
∴ Cost of one post card = 2.25/15
= Rs. 0.15
∴ Cost of 36 postcards = 26 × 0.15 = Rs 5.40
Solution
∴ The cost of 36 postcards is Rs 5.40.
7. 1.7 × .0028 / .068 × .014 =
Explanation:
(1.7 × .0028) / (.068 × .014)
= 0.00476 / 0.000952
= 5
Solution
∴ The answer is 5.
8. വിട്ടഭാഗം പൂരിപ്പിക്കുക.
AYIN, BWLM, DUOL, ________, KQUJ
- A) GSRK B) GTRL C) HSQM D) 1080
Explanation:
A -> D (shift of 3)
Y -> W (back shift of 3)
I -> O (shift of 3)
N -> L (back shift of 3)
∴ D -> G (shift of 3)
U -> X (back shift of 3)
O -> M (shift of 3)
L -> J (back shift of 3)
Solution
∴ The missing term is GXMJ.
9. ഒറ്റയാൻ ആര്?
2, 3, 5, 7, 8, 11, 13
Explanation:
2, 3, 5, 7, 11, 13 are prime numbers, but 8 is not a prime number.
Solution
∴ The answer is Option B) 8.
10. 10, 7, 4, .... എന്ന ശ്രേണിയിലെ 25-ാം പദം എത്ര?
- A) 62 B) – 62 C) 26 D) 70
Explanation:
By using the formula, Tn = a + (n – 1)d where n=10, d= 10 – 7 =3 & Tn = 25.
= 10 + (25 – 1)(–3)
= 10 + 24(–3)
= 10 – 72
= –62
Solution
∴ The 25th term of the sequence is –62.
Thanks for reading!!!
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