UP Police Constable Important Questions: Numerical Ability
Que. 1 A person buys land for ₹ 3 lakh. He sells 25% of it at 25% loss and 40% at 25% profit. For how much should he sell the rest of the child plot to make a total profit of 15%?
1.) ₹ 1,37,500
2.) ₹ 1,38,750
3.) ₹ 1,34,500
4.) ₹ 1,45,000
Correct Option - 2
Que. 2 When the price of sugar decreases by 10%, a man could buy 1 kg more for Rs. 270. Then, the original price of sugar per kg is
1.) Rs. 25
2.) Rs. 30
3.) Rs. 27
4.) Rs. 32
Correct Option - 2
Que. 3 The least number of four digits which is divisible by 4, 6, 8 and 10 is?
1.) 1080
2.) 1070
3.) 1506
4.) 1200
Correct Option - 1
Que. 4 Out of 6 numbers, the sum of the first 5 numbers is 7 times the 6th number. If their average is 136, then the 6th number is:
1.) 96
2.) 102
3.) 84
4.) 116
Correct Option - 2
Que. 5 The six-digit number 537xy5 is divisible by 125. How many such six-digit numbers are there?
1.) 2
2.) 5
3.) 3
4.) 4
Correct Option - 4
Que. 6 CP of 5 apples is equal to SP of 3 apples. Find the gain percentage.
1.) 150/7%
2.) 200/3%
3.) 140/9%
4.) 100/3%
Correct Option - 2
Que. 7 Find the value of:
150−−−√−54−−√−24−−√150−54−24
1.) 75
2.) 1
3.) 0
4.) 72
Correct Option - 3
Que. 8 The average salary of a company increases by 1000 when the salary of the manager, which is Rs. 95000, is included. If the number of employees excluding the manager is 64, what is the final average salary of the company including the manager?
1.) Rs.30,000
2.) Rs.31,000
3.) Rs.35,000
4.) Rs.32,000
Correct Option - 2
Que. 9 What is the remainder when we divide 570 + 770 by 74?
1.) 0
2.) 1
3.) 5
4.) 7
Correct Option - 1
Que. 10 Find the remainder when 413 divided by 3?
1.) 1
2.) 2
3.) 0
4.) 3
Correct Option - 1
Que. 11 A tax meter shows charges of Rs. 50 for the first two kilometres of the journey and Rs. 16 for every subsequent kilometre travelled. Manju pays Rs. 258 as fare to travel from her house to the railway station. How far is the railway station from her home?
1.) 13 km
2.) 15 km
3.) 18 km
4.) 12 km
Correct Option - 2
Que. 12 A is three times efficient than B. If A takes 24 days less than B to complete the work, then find in how many days A and B together can complete the whole work.
1.) 9 days
2.) 12 days
3.) 18 days
4.) 24 days
Correct Option - 1
Que. 13 A number when multiplied by 3/4 it is reduced by 48. What will be number?
1.) 192
2.) 172
3.) 144
4.) 152
Correct Option - 1
Que. 14 A certain sum becomes 4 times in 9 years if compounded yearly, when will it become 1024 times the principal amount?
1.) 74 Years
2.) 67 Years
3.) 81 Years
4.) 45 Years
Correct Option - 4
Que. 15 One-quarter of a circular pizza of diameter 28 cm was removed from the whole pizza. What is the perimeter (in cm) of the remaining pizza? (Take π = 22/7)
1.) 88
2.) 80
3.) 66
4.) 94
Correct Option - 4
Que. 16 The radius of a circular garden is 42 m. The distance (in m) covered by running 8 rounds around it, is: (Take π = 22/7)
1.) 2112
2.) 4262
3.) 3248
4.) 1124
Correct Option - 1
Que. 17 Three number are in the ratio of 3 ∶ 5 ∶ 7 and their LCM is 420. Find their HCF.
1.) 4
2.) 3
3.) 7
4.) 5
Correct Option - 1
Que. 18 The amount of Rs. 225 deposited on Compound interest becomes 16 times after 4 years. After 7 years it will become
1.) Rs. 27800
2.) Rs. 57600
3.) Rs. 14400
4.) Rs. 28800
Correct Option - 4
Que. 19 An object travels 24 meters in 4 seconds and then another 15 meters in 2 seconds. What is the average speed of the object?
1.) 6.5 m
2.) 6.5 ms–1
3.) 6.7 ms–1
4.) 6.67 s–1
Correct Option - 2
Que. 20 X and Y enter into a partnership with capital in the ratio 3 ∶ 5 After 5 months X adds 50% of his capital, while Y withdraws 60% of his capital. What is the share (in Rs. lakhs) of X in the annual profit of Rs. 6.84 lakhs?
1.) 3.12
2.) 3.6
3.) 3.72
4.) 4.2
Correct Option - 3
Que. 21 The total cost of 90 articles is Rs. 5400. If 70 such articles are sold at a total price of Rs. 5040, then there is
1.) a loss of 10%
2.) a gain of 10%
3.) a loss of 20%
4.) a gain of 20%
Correct Option - 4
Que. 22 Find the amount if sum of Rs. 2000 at 20% p.a. compounded quarterly for 6 months.
1.) Rs. 2255
2.) Rs. 2205
3.) Rs. 2250
4.) Rs. 2050
Correct Option - 2
Que. 23 Speed of bus is 54 km/h without stoppage and 45 km/h with stoppage. For how many minutes does the bus stop per hour?
1.) 4 minutes
2.) 15 minutes
3.) 10 minutes
4.) 8 minutes
Correct Option - 3
Que. 24 15 men can complete a task in 10 days. In how many days can 20 men complete the same task?
1.) 5.5 days
2.) 7.5 days
3.) 6.5 days
4.) 8.5 days
Correct Option - 2
Que. 25 A train crosses a pole in 12 sec, and a bridge of length 170 m in 36 sec. Then the speed of the train is:
1.) 30.75 km/h
2.) 25.5 km/h
3.) 32.45 km/h
4.) 10.8 km/h
Correct Option - 2
Que. 26 A shopkeeper cheats 20% while buying and cheats 20% on selling. Find profit %
1.) 50%
2.) 55%
3.) 40%
4.) 36%
Correct Option - 1
Que. 27 What is the greatest number which divides 183, 366 and 732 exactly?
1.) 183
2.) 61
3.) 244
4.) 122
Correct Option - 1
Que. 28 Two friends, one of whom is thrice as efficient as the other, working together, can complete a work in 6 days. In how many days will the less efficient among the two be able to complete twice the quantum of work?
1.) 24
2.) 12
3.) 48
4.) 36
Correct Option - 3
Que. 29 what will be the remainder when 37 × 43 × 51 is divided by 7?
1.) 3
2.) 4
3.) 5
4.) 6
Correct Option - 2
Que. 30 Rohit multiplies a number by 2 instead of dividing the number by 2. Resultant number is what percentage of the correct value?
1.) 200%
2.) 300%
3.) 50%
4.) 400%
Correct Option - 4
Que. 31 A man covers a distance of 1500 m in 33 min 20 sec. Find the speed of the man in km/h.
1.) 5.4 km/h
2.) 2.7 km/h
3.) 3.6 km/h
4.) 7.2 km/h
Correct Option - 2
Que. 32 Rakesh sold a car for Rs.5,00,000 at a 28% profit. At what price should he sell it to get a 32% profit?
1.) Rs.5,15,620
2.) Rs.5,15,630
3.) Rs.5,15,615
4.) Rs.5,15,625
Correct Option - 4
Que. 33 The distance between two places can be covered in 312312 hours at a speed of 62 km/hr. If the speed is increased by 8 km/hr, how much time would be saved?
1.) 20 minutes
2.) 24 minutes
3.) 15 minutes
4.) 30 minutes
Correct Option - 2
Que. 34 Find the simplified value of
5+11+19+29+49−−√−−−−−−−−√−−−−−−−−−−−−−−−√−−−−−−−−−−−−−−−−−−−−−√−−−−−−−−−−−−−−−−−−−−−−−−−−√5+11+19+29+49
1.) 2
2.) 3
3.) 4
4.) 6
Correct Option - 2
Que. 35 A and B can do a piece of work in 10 days, B and C in 15 days and C and A in 20 days, then C alone can do the same work in how many days?
1.) 120 days
2.) 60 days
3.) 30 days
4.) 80 days
Correct Option - 1
Que. 36 Which of the following number is divisible by 11?
1.) 3209248
2.) 8795484
3.) 6894578
4.) 4207819
Correct Option - 4
Que. 37 A shopkeeper allows a 50% discount on designer dress which have been marked 40% above the cost price and the customer pay Rs 56,000. Find the cost price.
1.) Rs.67,000
2.) Rs 34,000
3.) Rs.80,000
4.) Rs.56,000
Correct Option - 3
Que. 38 What would be the compound interest earned on Rs. 20000 in 2 years if the rate of interest for the first year is 5% per annum and that for the second year is 8% per annum?
1.) Rs. 2680
2.) Rs. 2820
3.) Rs. 2640
4.) Rs. 2440
Correct Option - 1
Que. 39 Two numbers are in ratio 8 : 9 and their HCF is 6. Their LCM is:
1.) 432
2.) 54
3.) 48
4.) 423
Correct Option - 1
Que. 40 The sides of a square is decreased by 20%. By how much percentage will its area decrease ?
1.) 40%
2.) 44%
3.) 36%
4.) 42%
Correct Option - 3
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