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SSC · SSC PYQ - Quantitative Aptitude practice

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English SSC CGL Tier I papers. Free 60-minute mocks, 100 questions, 200 marks; +2 correct and −0.5 incorrect. Source: SSC response sheets preserved by SSC Portal. The marked archived keys have not been independently revalidated against final SSC keys; worked explanations are pending review. A/B/C/D correspond to source options 1/2/3/4.

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Question 1 · Quantitative Aptitude · SSC PYQ - Quantitative Aptitude
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).
Choose your answer for question 1
Answer and explanation

Correct answer: B

Answer from the marked archived SSC response-sheet key. Final SSC key not independently revalidated; worked explanation pending editorial review.

Question 2 · Quantitative Aptitude · SSC PYQ - Quantitative Aptitude
The value of is:
The value of is:
Choose your answer for question 2
Answer and explanation

Correct answer: D

Answer from the marked archived SSC response-sheet key. Final SSC key not independently revalidated; worked explanation pending editorial review.

Question 3 · Quantitative Aptitude · SSC PYQ - Quantitative Aptitude
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?
Choose your answer for question 3
Answer and explanation

Correct answer: A

Answer from the marked archived SSC response-sheet key. Final SSC key not independently revalidated; worked explanation pending editorial review.

Question 4 · Quantitative Aptitude · SSC PYQ - Quantitative Aptitude
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:
Choose your answer for question 4
Answer and explanation

Correct answer: D

Answer from the marked archived SSC response-sheet key. Final SSC key not independently revalidated; worked explanation pending editorial review.

Question 5 · Quantitative Aptitude · SSC PYQ - Quantitative Aptitude
Which of the following statements is sufficient to conclude that two triangles are congruent?
Choose your answer for question 5
Answer and explanation

Correct answer: B

Answer from the marked archived SSC response-sheet key. Final SSC key not independently revalidated; worked explanation pending editorial review.

Question 6 · Quantitative Aptitude · SSC PYQ - Quantitative Aptitude
See the original question diagram below.
Choose your answer for question 6
Answer and explanation

Correct answer: C

Answer from the marked archived SSC response-sheet key. Final SSC key not independently revalidated; worked explanation pending editorial review.

Question 7 · Quantitative Aptitude · SSC PYQ - Quantitative Aptitude
fill a cistern in 110 minutes, find the time it takes to fill the cistern when both fill pipes are opened together.
Choose your answer for question 7
Answer and explanation

Correct answer: B

Answer from the marked archived SSC response-sheet key. Final SSC key not independently revalidated; worked explanation pending editorial review.

Question 8 · Quantitative Aptitude · SSC PYQ - Quantitative Aptitude
See the original question diagram below.
Choose your answer for question 8
Answer and explanation

Correct answer: B

Answer from the marked archived SSC response-sheet key. Final SSC key not independently revalidated; worked explanation pending editorial review.

Question 9 · Quantitative Aptitude · SSC PYQ - Quantitative Aptitude
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?
Choose your answer for question 9
Answer and explanation

Correct answer: A

Answer from the marked archived SSC response-sheet key. Final SSC key not independently revalidated; worked explanation pending editorial review.

Question 10 · Quantitative Aptitude · SSC PYQ - Quantitative Aptitude
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?
Choose your answer for question 10
Answer and explanation

Correct answer: D

Answer from the marked archived SSC response-sheet key. Final SSC key not independently revalidated; worked explanation pending editorial review.

Question 11 · Quantitative Aptitude · SSC PYQ - Quantitative Aptitude
Which of the following can be the value of ‘k’ so that the number 217924k is divisible by 6?
Choose your answer for question 11
Answer and explanation

Correct answer: A

Answer from the marked archived SSC response-sheet key. Final SSC key not independently revalidated; worked explanation pending editorial review.

Question 12 · Quantitative Aptitude · SSC PYQ - Quantitative Aptitude
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?
Choose your answer for question 12
Answer and explanation

Correct answer: A

Answer from the marked archived SSC response-sheet key. Final SSC key not independently revalidated; worked explanation pending editorial review.

Question 13 · Quantitative Aptitude · SSC PYQ - Quantitative Aptitude
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 ₹)?
Choose your answer for question 13
Answer and explanation

Correct answer: C

Answer from the marked archived SSC response-sheet key. Final SSC key not independently revalidated; worked explanation pending editorial review.

Question 14 · Quantitative Aptitude · SSC PYQ - Quantitative Aptitude
If the sum of two sides of an equilateral triangle is 16 cm, then find the third side.
Choose your answer for question 14
Answer and explanation

Correct answer: D

Answer from the marked archived SSC response-sheet key. Final SSC key not independently revalidated; worked explanation pending editorial review.

Question 15 · Quantitative Aptitude · SSC PYQ - Quantitative Aptitude
See the original question diagram below.
Choose your answer for question 15
Answer and explanation

Correct answer: C

Answer from the marked archived SSC response-sheet key. Final SSC key not independently revalidated; worked explanation pending editorial review.

Question 16 · Quantitative Aptitude · SSC PYQ - Quantitative Aptitude
The following table shows the total candidates appeared and number of candidates present, in different exam centres – P, Q and R. Study the table and answer the question that follows. ‘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?
The following table shows the total candidates appeared and number of candidates
present, in different exam centres – P, Q and R.
Study the table and answer the question that follows.
‘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?
Choose your answer for question 16
Answer and explanation

Correct answer: B

Answer from the marked archived SSC response-sheet key. Final SSC key not independently revalidated; worked explanation pending editorial review.

Question 17 · Quantitative Aptitude · SSC PYQ - Quantitative Aptitude
The distance between the centres of two circles of radii 22 cm and 10 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.
Choose your answer for question 17
Answer and explanation

Correct answer: C

Answer from the marked archived SSC response-sheet key. Final SSC key not independently revalidated; worked explanation pending editorial review.

Question 18 · Quantitative Aptitude · SSC PYQ - Quantitative Aptitude
See the original question diagram below.
Choose your answer for question 18
Answer and explanation

Correct answer: B

Answer from the marked archived SSC response-sheet key. Final SSC key not independently revalidated; worked explanation pending editorial review.

Question 19 · Quantitative Aptitude · SSC PYQ - Quantitative Aptitude
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 78. Find the ratio of the number of boys to the number of girls.
Choose your answer for question 19
Answer and explanation

Correct answer: B

Answer from the marked archived SSC response-sheet key. Final SSC key not independently revalidated; worked explanation pending editorial review.

Question 20 · Quantitative Aptitude · SSC PYQ - Quantitative Aptitude
See the original question diagram below.
Choose your answer for question 20
Answer and explanation

Correct answer: A

Answer from the marked archived SSC response-sheet key. Final SSC key not independently revalidated; worked explanation pending editorial review.

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