SSC CGL Math Online Mock Test,Combined Graduate Level Examination based on 2024 Tier I

SSC CGL Math Online Mock Test,Combined Graduate Level Examination based on 2024 Tier I

Quantitative Aptitude Quiz

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Q1. A grocer professes to sell rice at the cost price, but uses a fake weight of 870 g for 1 kg. Find his profit percentage (correct to two decimal places).

Q2. The value of cos⁡229∘+cos⁡261∘ cos 2 29 ∘ +cos 2 61 ∘ is:

Q3. In a circular race of 840 m, A and B start running in the same direction at the same time from the same point at the speeds of 6 m/s and 12 m/s, respectively. After how much time will they meet next?

Q4. Let O be the centre of the circle and AB and CD are two parallel chords on the same side of the radius. OP is perpendicular to AB and OQ is perpendicular to CD. If AB = 10 cm, CD = 24 cm and PQ = 7 cm, then the diameter (in cm) of the circle is equal to:

Q5. Which of the following statements is sufficient to conclude that two triangles are congruent?

Q6. The given table shows the percentage of marks obtained by these students in three different subjects in an institute. (maximum marks are given in brackets)

Subject History (175) Geography (200) Botany (125) Rom 54 87 71 Metam 31 79 78 Siyam 75 49 78

If in order to pass the exam, a minimum of 105 marks are needed in History, how many students pass in the exam?

Q7. Fill pipe P is 21 times faster than fill pipe Q. If Q can fill a cistern in 110 minutes, find the time it takes to fill the cistern when both fill pipes are opened together.

Q8. The following table shows the marks (out of 100) obtained by five students in five different subjects.

Student/Subject Matts Physics Chemistry English Physical Education Tarsus 65 80 75 85 90 Rohit 69 76 80 88 94 Mohit 73 84 77 90 95 Shehbit 76 85 78 86 78 Sumit 90 88 78 82 68

Who obtained 79% marks in all the subjects taken together?

Q9. R pays ₹100 to P with ₹5, ₹2 and ₹1 coins. The total number of coins used for paying are 40. What is the number of coins of denomination ₹5 in the payment?

Q10. The radii of the two cones are in the ratio of 2:5 and their volumes are in the ratio of 3:5. What is the ratio of their heights?

Q11. Which of the following can be the value of 'k' so that the number 217924k is divisible by 6?

Q12. In an election between two candidates, y% of the voters did not vote. 10% of the votes cast were declared invalid, while all the valid votes were cast in favour of either of the two candidates. The candidate who got 59.375% of the valid votes cast was declared elected by 2484 votes. If the number of people eligible to vote in that election was 16,000, what is the value of y?

Q13. An article is marked at ₹550. If it is sold at a discount of 40%, then the selling price becomes 10% more than its cost price. What is the cost price (in ₹)?

Q14. If the sum of two sides of an equilateral triangle is 16 cm, then find the third side.

Q15. Simplify (x2−9)x+3 x+3 (x 2 −9) ​ .

Q16. The following table shows the total candidates appeared and number of candidates present, in different exam centres - P, Q and R.

Year P Q R Total Present Total 2016 45 42 56 2017 50 45 75 2018 64 60 65 2019 80 69 84 2020 55 44 80

'Total' denotes total candidates applied for the centre, 'Present' denotes the candidates appeared. In which year was the number of absentees the second highest in total of all centres?

Q17. The distance between the centres of two circles of radii 22 cm and 18 cm is 37 cm. If the points of contact of a direct common tangent to these circles are M and Q, then find the length of the line segment MQ.

Q18. The value of sin⁡230−sin⁡240+sin⁡245−sin⁡255−sin⁡235+sin⁡245−sin⁡250+sin⁡260 sin 2 30−sin 2 40+sin 2 45−sin 2 55−sin 2 35+sin 2 45−sin 2 50+sin 2 60 is:

Q19. The average marks (out of 100) of boys and girls in an examination are 75 and 80, respectively. If the average marks of all the students in that examination are 75, find the ratio of the number of boys to the number of girls.

Q20. Rayris, is his printing press, get no color to print some books, out of which he completed 1717 17 17 ​ of the order in 34 days. In how many days did he complete the order of printing?

Q21. Simplify x3+15x2+75x+125x2−25(x−5) x 2 −25 x 3 +15x 2 +75x+125 ​ (x−5).

Q22. If cosec⁡θ=53 cosecθ= 3 5 ​ , then evaluate (sec⁡2θ−1)×cot⁡2θ×(1+cot⁡2θ) (sec 2 θ−1)×cot 2 θ×(1+cot 2 θ).

Q23. Which of the following can be the value of k, if (88+8×k−3×3)(62−7×5+k2)=1 (6 2 −7×5+k 2 ) (88+8×k−3×3) ​ =1?

Q24. Read the given information and answer the question that follows. The following table gives the percentage of media obtained by seven students in six different subjects in an examination. The number in the brackets give the maximum marks in each subject.

Student Subject (Max. Marks) Chemistry Physics Geography History Computer Science Marks (150) (150) (150) (100) (60) Ayush 99 59 99 66 70 80 Arana 100 89 89 46 86 70 Najel 99 60 70 70 90 70 Robit 89 65 89 86 66 60 Meskan 89 65 65 85 50 90 Tanri 79 75 65 85 40 60 Tamo 65 55 50 75 46 40

If someone secured all the highest marks that have been obtained by some student or the other in the six subjects as given in the table above, what would be the exact overall percentage score obtained by that student?

Q25. Mohan borrows a sum of ₹4,22,092 at the rate of 20% per annum simple interest. At the end of the first year, he repays ₹21,679 towards return of principal amount borrowed. If Mohan 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?

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