Top 50 Quantitative Aptitude Practice Questions Part 1। SSC CGL, CHSL, CPO, Banking & Railway Exams
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SSC CGL Quantitative Aptitude Questions Tier 1 PDF | Top 50 Quantitative Aptitude Practice Questions Part 1
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Top 50 SSC CGL Tier 1 Maths Practice Questions Part 1
1. A car driver leaves Bangalore at 8.30 A.M. and expects to reach a place 300 km from Bangalore at 12.30 P.M. At 10.30 he finds that he has covered only 40% of the distance. By how much he has to increase the speed of the car in order to keep up his schedule?
(a) 90 km/hr/
(b) 40 km/hr/
(c) 35 km/hr/
(d) 30 km/hr/
2. The population of a village is 12980. 7/15th of them are males and the rest females. 40% of the males are married. All marriages are monogamous and married people have their spouses living with them. What percentage of females are married?
(a) 35
(b) 56
(c) 60
(d) 96
3. One train is 150 m longer than the other train. When they move in opposite direction they cross each other in 25 seconds. When they move in same direction the faster train crosses the slower train in 2.5 minutes. If the speed of slower train is 40 km/h then what is the speed of faster train.
(a) 49 km/hr
(b) 50 km/hr
(c) 56 km/hr
(d) 63 km/hr
4. A beaker contains acid and water in the ratio 1:x. when 300 ml of the mixture and 50 ml of water are mixed the ratio of acid and water becomes 5: 2.what is the value of x?
(a) 2
(b) 4
(c) 3
(d) 1
5. In a triangle ABC, G is the centroid of ABC and BM is median and ∠ CBM =45° and AG ⊥BM. If GM =√𝟐cm then find the length of BC =?
(a)6 cm
(b)8cm
(c) 𝟒√𝟐𝒄𝒎
(d)16cm
5. In a trainle ABC, G is centroid of triangle ABC and BN & AM are medians. GN =4cm, GM=3cm, BGA=90°, then find the length of GC.
(a)5 cm
(b)4cm
(c)7.5cm
(d)10cm
6. If sin( 𝛑𝐬𝐞𝐜𝛉) = cos( 𝛑𝐭𝐚𝐧𝛉) thenfind the value of cosecθ + cotθ.
(a)2
(b) 3
(c)1
(d) 4
7. A man from the top of a 100 meter high tower sees a car moving towards the tower at an angle of depression of 30°. After some time, the angle of depression becomes 60 °. The distance(in meters) travelled by the car during this time:
(a) 100√3
(b)200/√3
(c)100√3/3
(d)200√3
8. A person borrows some money at 10% per annum compound interest for three years. At the end second year he deposits Rs. 8470and at the end of third year he clears all his debt by paying Rs. 13310. What was the money he borrowed?
(a)Rs. 16000
(b) Rs. 17000
(c)Rs. 18000
(d)Rs. 16997.7
9. Renu bought an article for Rs.1240 and sold it at a loss of 25% with this amount, she bought another article and sold it at a gain of 36%. Her overall percentage profit is:
(a) 2
(b) 20/3
(c) 5
(d) 15
10. A number when divided by 4 and 7,it gives remainder 3 and 2 respectively. What is the remainder obtained when the same minimum natural number is divided by 11?
(a)3
(b)2
(c)1
(d)7
11. A pipe can fill a tank in 30 minutes and another pipecan fill a tank in 40 minutes. Pipe B is opened forhalf of the time and pipe A and B are opened for the other half. How long will it take to fill the tank?
(a) 15 min
(b) 24 min
(c) 20 min
(d) 35 min
12. A cube of maximum volume (each corner touching the surface from inside) is cut from a sphere. What is the ratio of the volume of the cube to that of the sphere?
(a) 3:4π
(b) √3:2π
(c) 2: √Зπ
(d) 4:3π
13. In the given figure the ratio of radii of the sector and the incircle is 3:1. What is the ratio of their areas?
(a)3:2
(b)4:3
(c)2:3
(d)6:5
14. The average score of 42 students in a test is 69. The ratio of the number of boys to that of girls is 10 11. The average score of the boys is 20% more than that of the girls. The average score of the girls is:
(a) 84
(b) 75.2
(c) 63
(d) 75.6
15. The radius of a cylinder is 8 cm and heightis 2 cm. The number of centimeters that may be added either to the radius or to the height to get the same increase in the volume of the cylinder is:
(a) 8
(b) 12
(c) 16
(d) 5
16. When A alone does a piece of work, he takes 25 days more than the time taken by A and B to do the work together. On the other hand, B alone takes 16 days more than the time taken by A and B to do the work together. How many days will A and B, working together, take to do the work?
(a) 24
(b) 20
(c) 23
(d) 22
17. Two circles having equal radius intersect each other such that each passes through the center of the other. Sum of diameter of these two circles is 84 cm. What is the length of the common chord?
(a) 21√3 cm
(b) 14√3 cm
(c) 28√3 cm
(d) 24√3 cm
18. 2(sin 1° × sec 89°) + 3(cos 11 ° × cosec79°) + 5(tan21 ° × tan 69°) = ?
(a) 11
(b) 12
(c) 20
(d) 10
19. If a number N is divisible by 3, then which of the following is true?
(a) (N + 6) is divisible by 6/(N + 6) ,
(b) (N+2) is divisible by 3./ (N+2),
(c) N² is divisible by 6/ N²,
(d) (N + 12
20. If the 8-digit number 789x531y is divisible by 72, then the value of (5x-3y) is :
(a) 0
(b) -1
(c) 2
(d) 1
21. In a circular race of 4225 m, X and Y start from the same point and at the same time at speeds of 54 km/h and 63 km/h. When will they meet again for the first time on the track when they are running in the opposite direction?
(a) 140 seconds
(b) 150 seconds
(c) 130 seconds
(d) 120 seconds
22. A shopping mart offers four different discounts schemes on the sale of an object as follows:
Which discount scheme offers the maximum discount to a customer?
(1) A discount of 30%/
(2) Two successive discounts of 15%
(3) Buy 2, get 1 free
(4) Buy 5, get 3 free
(a) 1
(b) 2
(c) 3
(d) 4
23. Naman borrows a sum of ₹3,48,020 at the rate of 8% per annum simple interest. At the end of the first year, he repays ₹15,090 towards return of principal amount borrowed. If Naman clears all pending dues at the end of the second year, including interest payment that accrued during the first year, how much does he pay (in) at the end of the second year?
(a) 3,79,386
(b) 3,87,406
(c) 3,88,931
(d) 3,92,733
24. Find the least number divisible by 2, 3, 5, 6, 9 and 18, which is a perfect square.
(a) 900
(b) 400
(c) 144
(d) 3600
25. A ship 60 kms from the shore, springs a leak which comes 3.75 tonnes of water in 15 minutes. 25 tonnes would suffer to sink it, but the pumps can throw out of 12.5 tons an hour. Find the average rate of sailing that it may just reach the shore as its beings to sink.
(a) 6 km/hr
(b) 10 km/hr
(c) 12 km/hr
(d) none of these
26. X started a business with Rs. 18000 after 4 months Y joins X as his partner. After 1 year they shared profit in the ratio of 27:17. Find the investment of Y.
(a) 12000
(b) 15000
(c) 18000
(d) 17000
27. If x and y are both prime numbers, where x < y < 50, then find the maximum possible range of the data 5, 8, 7, 13, 23, 34, x, y, 18.
(a) 45
(b) 42
(c) 44
(d) None of these
28. The three sides of a triangle are 9, 24 and S units. Which of the following is correct?
(a) 15 < S < 33
(b) 15 ≤ S ≤ 33
(c) 15 < S ≤ 33
(d) 15 ≤ S < 33
29. The average weight of group A and group B is 12 kg and 24 kg, respectively. The ratio of the member in group A to group B is 1 : 2. Find the combined average of both the groups.
(a) 22 kg.
(b) 16 kg.
(c) 20 kg.
(d) 18 kg.
30. 5 women and 9 girls earn a total of ₹18,720 in 9 days, while 9 women and 16 girls earn a total of ₹ 52,080 in 14 days. How much will 12 women and 7 girls together earn (in₹) in 13 days?
(a) ₹42510
(b) ₹42380
(c) ₹42120
(d) ₹41990
31. If x : y = 4 : 5, then (3x + y) : (5x + 3y) =
a) 3 : 5
b) 5 : 3
c) 17 : 35
d) 35 : 17
32. The number, whose square is equal to the difference of the squares of 75.15 and 60.12, is:
a) 46.09
b) 48.09
c) 45.09
d) 47.09
33. A dealer marked the price of an item 20% above cost price. He allowed two successive discounts of 20% and 25% to a customer. As a result he incurred a loss of Rs.812. At what price did he sell the item to the customer?
a) 1875
b) 2088
c) 2155
d) 2258
34. The ratio between the rate of speed of travelling of A an B is 2:3 and therefore A takes 20 minutes more than time taken by B to reach a particular destination. If A had walked at double the speed, how long would he have taken to cover the distance?
a) 60 minutes
b) 35 minutes
c) 20 minutes
d) 30 minutes
35. The ratio between the present age of A and B is 7:4.The ratio between the age of A and B four years ago is 2:1.What is the ratio age of A and B four years hence:
a) 3:4
b) 3:5
c) 5:8
d) 8:5
36. If, X^2 – 43x + 450 = 0; Y^2 – 32y + 255 = 0, then which relation is correct?
a) X > Y
b) X < Y
c) X ≥ Y
d) X ≤ Y
37. 2 men and 3 women can together complete a piece of work in 4 days and 3 men and 2 women together can complete work in 3 days. In how many days 10 women will complete this work?
a) 9 days
b) 6 days
c) 7 days
d) 12 days
38. Two pipes A and B can fill a tank in 12 hours and 15 hours respectively. If they are opened on alternate hours with pipe A opened first, then in how many hours the tank will be full?
a) 13 hrs.
b) 14 1/2hrs
c) 12 hrs.
d) 12 1/2 hrs
39. If 40% increase in an amount in 4 years at SI. What will be the CI of Rs.10,000 after 2 years at the same rate?
a) 1000
b) 1100
c) 2000
d) 2100
40. The simple interest on a sum of money will be Rs.400 after 5 years. In the next 5 years the principal is doubled, what will be the total interest at the end of the 10th year:
a) 800
b) 1000
c) 1200
d) 1600
41. 90 litres of a mixture of milk and water contains 20% water. How much water should be added so that the mixture has 28% water?
a) 18 litres
b) 12 litres
c) 10 litres
d) 8 litres
42. Arun takes thrice as long to row a distance against the stream as to row the same distance in favor of the stream. The ratio of the speed of the boat in still water and stream is:
a) 3:1
b) 1:2
c) 2:1
d) 2:3
43. Three partners invested Rs. 42000, Rs. 48000 and Rs. 32000 respectively. Partnership condition is that, each will get interest on his capital at the rate of 7% p.a. and the remaining profit will be divided in the ratio of their capitals. If at the end of the year the total profit is Rs. 32940, then find the share of A in profit.
a) Rs. 12960
b) Rs. 11340
c) Rs. 8640
d) none of these
44. The average temperature in Delhi for the first four days of the month was reported as 58° It reported as 60° for 2nd, 3rd, 4th and 5th days. The ratio of the temperatures of 1st and 5th day was 7:8. Find the temperature on the first day.
a) 48°
b) 63°
c) 68°
d) 56°
45. A train takes 18 seconds to pass through a platform 162 m long and 15 seconds to pass through another platform 120 m long. The length of the train (in m ) is:
a) 70
b) 80
c) 90
d) 105
46. Fresh fruits contain 75% water and dry fruits contain 20% water. If the weight of dry fruits is 300 kg, what was its total weight when it was fresh?
a) 900 kg
b) 850 kg
c) 920 kg
d) 960 kg
47. A boy was asked to find 3/5 of a fraction. Instead of this he divided the fraction by 3/5 and got an answer which exceeded the correct answer by 32/75.The correct answer is:
a) 3/25
b) 6/25
c) 2/25
d) 2/15
48. The side of triangle are respectively 2:3:4 its perimeter is 18 cm, so what will be the area of triangle.
a) 9
b) 36
c) √42
d) 3√15
49. A boat covers 24 km upstream and 36 km downstream in 6 hours, while it covers 36 km upstream and 24 km downstream in 6 1/2 hours. The speed of the current is:
a) 1 km/hr.
b) 2 km/hr.
c) 1.5 km/hr.
d) 2.5 km/hr.
50. In an examination, 70% of the candidates passed in English, 80% passed in Mathematics. 10% failed in both the subjects if 144 candidates passed in both, the total number of candidates was:
a) 125
b) 200
c) 240
d) 375