Dear maths lovers,It is impossible to study maths properly by just reading and listening. For that, we are providing here Quant Quiz of 15 Questions on Algebra in accordance with the syllabus of SSC CGL. So, practise, practise & more practise.We have also provided Study Notes and quizzes on all the topics.
Q1. LCM of first 100 natural numbers is N. What is the LCM of first 105 natural numbers ?
(a) 5! × N
(b) 10403 N
(c) 105N/103
(d) 4N
Q2. Statistics show that 20% of smokers get lung cancer and 80% of lung cancer patients are smokers. If 30% of the population smokes, then the percentage of population having lung cancer is
(a) 4
(b) 3
(c) 8
(d) 7.5
Q3. In solution of sugar and water the ratio of sugar and water by weight is 1: 4. This solution is heated and in the process it loses 50% weight. What is the ratio of weight of sugar and water in the final mixture ?
(a) 4:1
(b) 2:1
(c) 2:3
(d) 3.5:2
Q4. A cloth store is offering “Buy 3, get 1 free.” What is the net percentage discount being offered by the store ?
(a) 25%
(b) 20%
(c) 33.33%
(d) 30%
Q5. A milkman mixes 20 litres of water with 80 litres of milk. After selling one-fourth of this mixture, he adds water to replenish the quantity that he had sold. What is the current proportion of water to milk ?
(a)2:3
(b)3:2
(c)2:1
(d)3:4
Q6. How many litres of fresh water should be mixed with 30 litres of 50% milk solution so that resultant solution is a 10% milk solution ?
(a)120
(b)100
(c)50
(d)130
Q7. Total expenses at a hostel is partly fixed and partly variable. When the number of students is 20, total expense is Rs. 15,000 and when the number of students is 30, total expense is Rs. 20,000. What will be the expense when the number of students is 40 ?
(a)25,000
(b)40,000
(c)30,000
(d)26,000
Q8. A machine P can print one lakh books in 8 hours, machine Q can print the same number of books in 10 hours while machine R can print them in 12 hours. If all of them work together for 6 hours, how many books will be printed ?
(a) 60,000
(b) 1,80,000
(c) 1,85,000
(d) 2,85,000
Q9. How many zeroes will be there at the end of N = 18! + 19! ?
(a) 3
(b) 4
(c) 5
(d) Cannot be determined
Q10. Some articles are purchased for Rs. 450. 1/3 rd of the articles are sold at a loss of 10%. At what percentage profit should the remaining articles be sold to obtain a net profit of 20% on the whole transaction?
(a)35%
(b)20%
(c)10%
(d)40%
Q11. Saurabh Tripathi travels from Delhi to Lucknow at a speed of 75 km/h and returns to Delhi at a speed of 50 km/hr. He again leaves for Lucknow immediately at a speed of 30 km/hr and returns back to Delhi at a speed of 60 km/hr. What is his average speed for the entire journey ?
(a) 54 km/hr
(b) 48 km/hr
(c) 56 km/hr
(d) Cannot be determined
Q12. Vinit has to cover a certain distance of 7 km in 1 h 12 minutes. If he walks some distance at 4 km/h and rides a horse for some distance at 10 km/h, he reaches his destination in time. How far should be walk on foot ?
(a) 14/3 km
(b) 11/3 km
(c) 13/3 km
(d) 10/3 km
Q13. Two trains have respective lengths as 230 m and 190 m. They cross each other completely in 21 s, if they are travelling in the opposite direction. And in 42 s, if they are travelling in the same direction. Find the ratio of the speeds of the two trains.
(a) 3 : 1
(b) 4 : 1
(c) 3 : 1
(d) None of these
Q14. In the given figure, O is the centre of the circle, ∠AOC = 160°. If AB = AC, then find ∠BAC.
(a) 45°
(b) 20°
(c) 60°
(d) 75°
Q15. In the given figure, O is the centre of the circle, OQ = QR and ∠QRO = 15°. Find ∠ QOP.
(a) 120°
(b) 150°
(c) 135°
(d) 105°
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