CSS - PMS - CCE - PCS - Mathematics
Probability
A box contains 7 equally likely numbered tokens, of which 6 are marked as winning. What is the probability of selecting a winning token?
A. 6/7-1
B. 1
C. 6/7
D. 1/7
Correct Answer: C
Probability = 6/7 = 6/7.
CSS - PMS - CCE - PCS - Mathematics
Probability
One integer is selected at random from 1 to 19. What is the probability that it is divisible by 6?
A. 1/6
B. 3/19
C. 16/19
D. 6/19
Correct Answer: B
There are 3 multiples of 6 from 1 to 19; probability = 3/19 = 3/19.
CSS - PMS - CCE - PCS - Mathematics
Probability
A bag has 2 red and 10 blue balls. One ball is drawn at random. What is the probability of drawing a red ball?
A. 1/12
B. 1/5
C. 1/6
D. 5/6
Correct Answer: C
Probability = favourable/total = 2/12 = 1/6.
CSS - PMS - CCE - PCS - Mathematics
Probability
A fair die is rolled once. What is the probability of getting a number greater than 3?
A. 1/2
B. 1/2-1
C. 1/6
D. 3/5
Correct Answer: A
Favourable outcomes are 4 to 6: 3 out of 6, so probability = 1/2.
CSS - PMS - CCE - PCS - Mathematics
Probability
A box contains 10 equally likely numbered tokens, of which 6 are marked as winning. What is the probability of selecting a winning token?
A. 2/5
B. 2/3
C. 3/5
D. 1/10
Correct Answer: C
Probability = 6/10 = 3/5.
CSS - PMS - CCE - PCS - Mathematics
Probability
One card is drawn from a standard 52-card deck. What is the probability of drawing a king?
A. 1/52
B. 1/13
C. 4/13
D. 1/4
Correct Answer: B
There are 4 kings among 52 cards, so probability = 4/52 = 1/13.
CSS - PMS - CCE - PCS - Mathematics
Probability
One integer is selected at random from 1 to 13. What is the probability that it is divisible by 5?
A. 2/13
B. 11/13
C. 1/5
D. 5/13
Correct Answer: A
There are 2 multiples of 5 from 1 to 13; probability = 2/13 = 2/13.
CSS - PMS - CCE - PCS - Mathematics
Probability
A bag has 4 red and 7 blue balls. One ball is drawn at random. What is the probability of drawing a red ball?
A. 1/11
B. 4/11
C. 7/11
D. 4/7
Correct Answer: B
Probability = favourable/total = 4/11 = 4/11.
CSS - PMS - CCE - PCS - Mathematics
Probability
3 fair coins are tossed. What is the probability that all are heads?
A. 3/8
B. 1/3
C. 1/6
D. 1/8
Correct Answer: D
Each head has probability 1/2; all heads = (1/2)^3 = 1/8.
CSS - PMS - CCE - PCS - Mathematics
Probability
A fair die is rolled once. What is the probability of getting a number greater than 1?
A. 1
B. 5/6-1
C. 5/6
D. 1/6
Correct Answer: C
Favourable outcomes are 2 to 6: 5 out of 6, so probability = 5/6.
CSS - PMS - CCE - PCS - Mathematics
Mixture & Alligation
5 litres at Rs. 11/L are mixed with 4 litres at Rs. 41/L. What is the average cost per litre?
A. Rs. 26.00
B. Rs. 26.33
C. Rs. 24.33
D. Rs. 52.00
Correct Answer: C
Weighted average = (5×11+4×41)/9 = Rs. 24.33/L.
CSS - PMS - CCE - PCS - Mathematics
Mixture & Alligation
8 litres at Rs. 16/L are mixed with 6 litres at Rs. 36/L. What is the average cost per litre?
A. Rs. 26.57
B. Rs. 24.57
C. Rs. 26.00
D. Rs. 52.00
Correct Answer: B
Weighted average = (8×16+6×36)/14 = Rs. 24.57/L.
CSS - PMS - CCE - PCS - Mathematics
Mixture & Alligation
3 litres at Rs. 11/L are mixed with 8 litres at Rs. 31/L. What is the average cost per litre?
A. Rs. 21.00
B. Rs. 27.55
C. Rs. 42.00
D. Rs. 25.55
Correct Answer: D
Weighted average = (3×11+8×31)/11 = Rs. 25.55/L.
CSS - PMS - CCE - PCS - Mathematics
Mixture & Alligation
6 litres at Rs. 16/L are mixed with 3 litres at Rs. 38/L. What is the average cost per litre?
A. Rs. 25.33
B. Rs. 54.00
C. Rs. 23.33
D. Rs. 27.00
Correct Answer: C
Weighted average = (6×16+3×38)/9 = Rs. 23.33/L.
CSS - PMS - CCE - PCS - Mathematics
Mixture & Alligation
9 litres at Rs. 11/L are mixed with 5 litres at Rs. 33/L. What is the average cost per litre?
A. Rs. 22.00
B. Rs. 44.00
C. Rs. 18.86
D. Rs. 20.86
Correct Answer: C
Weighted average = (9×11+5×33)/14 = Rs. 18.86/L.
CSS - PMS - CCE - PCS - Mathematics
Mixture & Alligation
4 litres at Rs. 16/L are mixed with 7 litres at Rs. 40/L. What is the average cost per litre?
A. Rs. 28.00
B. Rs. 56.00
C. Rs. 33.27
D. Rs. 31.27
Correct Answer: D
Weighted average = (4×16+7×40)/11 = Rs. 31.27/L.
CSS - PMS - CCE - PCS - Mathematics
Mixture & Alligation
7 litres at Rs. 11/L are mixed with 9 litres at Rs. 35/L. What is the average cost per litre?
A. Rs. 46.00
B. Rs. 24.50
C. Rs. 26.50
D. Rs. 23.00
Correct Answer: B
Weighted average = (7×11+9×35)/16 = Rs. 24.50/L.
CSS - PMS - CCE - PCS - Mathematics
Mixture & Alligation
2 litres at Rs. 16/L are mixed with 4 litres at Rs. 30/L. What is the average cost per litre?
A. Rs. 25.33
B. Rs. 46.00
C. Rs. 23.00
D. Rs. 27.33
Correct Answer: A
Weighted average = (2×16+4×30)/6 = Rs. 25.33/L.
CSS - PMS - CCE - PCS - Mathematics
Mixture & Alligation
5 litres at Rs. 11/L are mixed with 6 litres at Rs. 37/L. What is the average cost per litre?
A. Rs. 27.18
B. Rs. 48.00
C. Rs. 25.18
D. Rs. 24.00
Correct Answer: C
Weighted average = (5×11+6×37)/11 = Rs. 25.18/L.
CSS - PMS - CCE - PCS - Mathematics
Mixture & Alligation
8 litres at Rs. 16/L are mixed with 8 litres at Rs. 32/L. What is the average cost per litre?
A. Rs. 24.00
B. Rs. 24.00-1
C. Rs. 48.00
D. Rs. 26.00
Correct Answer: A
Weighted average = (8×16+8×32)/16 = Rs. 24.00/L.