| 161 |
Machines P and Q make 60% and 40% of the items in a factory, with 1% and 4% defective respectively. An item p… |
Mathematics/Applied Mathematics
Total probability and Bayes’ theorem |
Hard |
| 162 |
The value of 47 mod 5 is |
Mathematics/Applied Mathematics
Modulo arithmetic and congruence |
Easy |
| 163 |
Which of these congruences modulo 7 is correct? |
Mathematics/Applied Mathematics
Modulo arithmetic and congruence |
Easy |
| 164 |
The value of (17 × 23) mod 5 is |
Mathematics/Applied Mathematics
Modulo arithmetic and congruence |
Medium |
| 165 |
Today is a Wednesday. Which day of the week will it be 100 days from today? |
Mathematics/Applied Mathematics
Modulo arithmetic and congruence |
Medium |
| 166 |
The remainder when 2⁵⁰ is divided by 7 is |
Mathematics/Applied Mathematics
Modulo arithmetic and congruence |
Hard |
| 167 |
Rice costing ₹40 per kg and rice costing ₹60 per kg are mixed in the ratio 1 : 1. The mean price of the mixtu… |
Mathematics/Applied Mathematics
Alligation and mixtures |
Easy |
| 168 |
By the rule of alligation, with cheaper price c, dearer price d and mean price m, the ratio quantity of cheap… |
Mathematics/Applied Mathematics
Alligation and mixtures |
Easy |
| 169 |
In what ratio must tea at ₹120 per kg be mixed with tea at ₹180 per kg so that the mixture is worth ₹140 per … |
Mathematics/Applied Mathematics
Alligation and mixtures |
Medium |
| 170 |
A grocer mixes 3 kg of sugar at ₹50 per kg with 2 kg at ₹75 per kg. The cost price of the mixture per kg is |
Mathematics/Applied Mathematics
Alligation and mixtures |
Medium |
| 171 |
A vessel holds 40 litres of milk. Four litres are taken out and replaced with water, and this is done once mo… |
Mathematics/Applied Mathematics
Alligation and mixtures |
Hard |
| 172 |
A boat goes at 10 km/h in still water and the stream flows at 2 km/h. Its downstream speed is |
Mathematics/Applied Mathematics
Boats and streams |
Easy |
| 173 |
A boat's downstream speed is 15 km/h and its upstream speed is 9 km/h. Its speed in still water is |
Mathematics/Applied Mathematics
Boats and streams |
Easy |
| 174 |
A boat with a speed of 8 km/h in still water travels 30 km upstream in a stream flowing at 2 km/h. How long d… |
Mathematics/Applied Mathematics
Boats and streams |
Medium |
| 175 |
A man rows 24 km downstream in 2 hours and 12 km upstream in 2 hours. The speed of the stream is |
Mathematics/Applied Mathematics
Boats and streams |
Medium |
| 176 |
A boat goes 24 km downstream and returns in a total of 5 hours. The stream flows at 2 km/h. The speed of the … |
Mathematics/Applied Mathematics
Boats and streams |
Hard |
| 177 |
A pipe can fill a tank in 6 hours. What part of the tank does it fill in one hour? |
Mathematics/Applied Mathematics
Pipes and cisterns |
Easy |
| 178 |
Pipe A fills a tank in 10 hours and pipe B fills it in 15 hours. Working together, they fill it in |
Mathematics/Applied Mathematics
Pipes and cisterns |
Easy |
| 179 |
A pipe fills a tank in 4 hours, but an outlet empties the full tank in 6 hours. If both are open, the tank fi… |
Mathematics/Applied Mathematics
Pipes and cisterns |
Medium |
| 180 |
Three pipes can fill a tank in 12, 18 and 36 hours respectively. All three together fill it in |
Mathematics/Applied Mathematics
Pipes and cisterns |
Medium |