Problem Solving MCQ Set 13

Question: What is the value of cot 15o + cot 75o + cot 135o - cosec 30o?

1. 3
2. Infinity
3. 1
4. None of these

Question: Rs.432 is divided amongst three workers A, B and C such that 8 times A's share is equal to 12 times B's share which is equal to 6 times C's share. How much did A get?

1. Rs.192
2. Rs.133
3. Rs.144
4. Rs.128

Question: If 20 men or 24 women or 40 boys can do a job in 12 days working for 8 hours a day, how many men working with 6 women and 2 boys take to do a job four times as big working for 5 hours a day for 12 days?

1. 8 men
2. 12 men
3. 2 men
4. 24 men

Question: Two cogged wheels of which one has 32 cogs and other 54 cogs, work into each other. If the latter turns 80 times in three quarters of a minute, how often does the other turn in 8 seconds?

1. 48
2. 135
3. 24
4. None of these

Question: The monthly incomes of A and B are in the ratio 4 : 5, their expenses are in the ratio 5 : 6. If 'A' saves Rs.25 per month and 'B' saves Rs.50 per month, what are their respective incomes?

1. Rs.400 and Rs.500
2. Rs.240 and Rs.300
3. Rs.320 and Rs.400
4. Rs.440 and Rs.550

Question: The proportion of milk and water in 3 samples is 2:1, 3:2 and 5:3. A mixture comprising of equal quantities of all 3 samples is made. The proportion of milk and water in the mixture is

1. 2:1
2. 5:1
3. 99:61
4. 227:133