RRB ALP · Topic-wise previous year questions

Mathematics Previous Year Questions (page 7)

319 Mathematics questions asked in RRB ALP previous year papers, each with the correct answer and explanation. Read them free on UTpaper, or attempt the full papers as timed online tests.

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Q301RRB ALP CBT-1, 13 Feb 2026, Shift 1 (9:00 AM)
Two trains A and B are running in opposite directions with speeds of 66 km/hr and 60 km/hr, respectively. If the length of the train A is 240 m and they cross each other in 10 seconds, then find the length of the train B.दो ट्रेनें A और B विपरीत दिशाओं में क्रमशः 66 km/hr और 60 km/hr की चाल से चल रही हैं। यदि ट्रेन A की लंबाई 240 m है और वे 10 सेकंड में एक - दूसरे को पार करती हैं , तो ट्रेन B की लंबाई ज्ञात कीजिए।
  1. A110 m110 m
  2. B120 m120 m
  3. C144 m144 m
  4. D150 m150 m
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Correct answer: (A) 110 m110 m

Q302RRB ALP CBT-1, 13 Feb 2026, Shift 1 (9:00 AM)
Refer to the following number, symbol series and answer the question. Counting to be done from left to right only. All numbers are single-digit numbers. (Left) $ ^ < 9 * @ \ # ? 2 6 @ 2 \ % ^ & / 2 8 % (Right) How many such symbols are there each of which is immediately preceded by a number and also immediately followed by another symbol?
  1. ANone
  2. BThree
  3. CTwo
  4. DOne
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Correct answer: (C) Two

Q303RRB ALP CBT-1, 13 Feb 2026, Shift 1 (9:00 AM)
Seven boxes, A, B, C, D, E, F and G, are kept one over the other but not necessarily in the same order. A is kept third from the top. Only one box is kept between A and D but D is not kept on the top. Only two boxes are kept between C and D. Only one box is kept between B and E and E is immediately above G. Which box is second from the top?सात बॉक्स , A, B, C, D, E, F और G, एक के ऊपर एक रखे गए हैं , लेकिन ज़रूरी नहीं है कि वे इसी क्रम में रखे गए हों। A को शीर्ष से तीसरे स्थान पर रखा गया है। A और D के बीच केवल एक बॉक्स रखा गया है लेकिन D को शीर्ष पर नहीं रखा गया है। C और D के बीच केवल दो बॉक्स रखे गए हैं। B और E के बीच केवल एक बॉक्स रखा गया है तथा E, G के ठीक ऊपर है। कौन - सा बॉक्स शीर्ष से दूसरे स्थान पर रखा गया है ?
  1. AEE
  2. BCC
  3. CGG
  4. DDD
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Correct answer: (B) CC

Q304RRB ALP CBT-1, 13 Feb 2026, Shift 1 (9:00 AM)
If x : y = 9 : 11, then what is the value ofयदि x : y = 9 : 11 है , तो का मान ज्ञात कीजिए।
  1. AQuestion content
  2. BQuestion content
  3. CQuestion content
  4. DQuestion content
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Correct answer: (C)

Q305RRB ALP CBT-1, 13 Feb 2026, Shift 1 (9:00 AM)
What will come in the place of ‘?’ in the following equation, if ‘+’ and ‘-‘ are interchanged and ‘×’ and ‘÷’ are interchanged? 22 ÷ 11 × 11 + 50 - 32 = ?यदि ‘+’ और ‘-’ को परस्‍पर बदल दिया जाए तथा ‘×’ और ‘÷’ को परस्‍पर बदल दिया जाए , तो निम्नलिखित समीकरण में ‘?’ के स्थान पर क्या आएगा ? 22 ÷ 11 × 11 + 50 - 32 = ?
  1. A66
  2. B55
  3. C22
  4. D44
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Correct answer: (D) 44

Q306RRB ALP CBT-1, 13 Feb 2026, Shift 1 (9:00 AM)
Which of the following best describes a heterogeneous mixture?
  1. AIt has a single composition.
  2. BIts components are visibly distinct.
  3. CIt is a pure substance.
  4. DIt cannot be separated physically.
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Correct answer: (B) Its components are visibly distinct.

Q307RRB ALP CBT-1, 13 Feb 2026, Shift 1 (9:00 AM)
Anand purchased an item and incurred ₹82 as repair expenses. Subsequently, he sold it to Bharath with 25% profit. Eventually, Bharath sold the item for ₹2915, making 47% loss. What was the cost (in ₹) of the item for Anand just before selling it to Bharath?आनंद ने एक वस्तु खरीदी और उसकी मरम्मत पर ₹82 खर्च हुए। बाद में उसने वह वस्तु भरत को 25% लाभ पर बेच दी। अंततः भरत ने वह वस्तु ₹2915 में बेच दी , जिससे उसे 47% हानि हुई। भरत को वस्तु बेचने से ठीक पहले आनंद के लिए उस वस्तु की लागत (₹ में ) कितनी थी ?
  1. A44004400
  2. B43974397
  3. C44024402
  4. D43984398
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Correct answer: (A) 44004400

Q308RRB ALP CBT-1, 13 Feb 2026, Shift 1 (9:00 AM)
The following data shows the ages of the patients admitted in a hospital during a year. What is the modal age of the patients (correct to 2 decimal places)? Age (in years) 5 - 10 10 - 15 15 - 20 20 - 25 25 - 30 30 - 35 35 - 40 Number of Patients 4 10 8 2 12 6 3निम्नलिखित आंकड़े एक वर्ष के दौरान एक अस्पताल में भर्ती रोगियों की आयु को निरूपित करते हैं। रोगियों की बहुलकी आयु ( दशमलव के 2 स्थानों तक ) कितनी है ? आयु ( वर्षों में ) 5 - 10 10 - 15 15 - 20 20 - 25 25 - 30 30 - 35 35 - 40 रोगियों की संख्या 4 10 8 2 12 6 3
  1. A33.51 years
  2. B28.13 years
  3. C29.12 years
  4. D32.23 years
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Correct answer: (B) 28.13 years

Q309RRB ALP CBT-1, 13 Feb 2026, Shift 1 (9:00 AM)
A and B can complete a job in 12 days and 18 days, respectively. If they work together for 6 days, how much of the job is left to be done?A और B एक काम को क्रमशः 12 और 18 दिनों में पूरा कर सकते हैं। यदि वे 6 दिनों तक एकसाथ काम करते हैं , तो काम का कितना हिस्सा बचा रहेगा ?
  1. AQuestion content
  2. BQuestion content
  3. CQuestion content
  4. DQuestion content
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Correct answer: (B)

Q310RRB ALP CBT-1, 13 Feb 2026, Shift 1 (9:00 AM)
A sum of ₹3,540 is divided between Nisha, Sameer and Rupesh such that if their shares are decreased by ₹760, ₹190 and ₹280, respectively, then they are in the ratio of 10 : 2 : 9. What is the original share of Sameer?₹3,540 की धनराशि को निशा , समीर और रूपेश के बीच इस प्रकार बांटा जाता है कि यदि उनके हिस्से में क्रमशः ₹760, ₹190 और ₹280 की कमी की जाती है , तो उनका अनुपात 10 : 2 : 9 हो जाता है। समीर का मूल हिस्सा कितना है ?
  1. A₹596₹596
  2. B₹137₹137
  3. C₹410₹410
  4. D₹468₹468
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Correct answer: (C) ₹410₹410

Q311RRB ALP CBT-1, 13 Feb 2026, Shift 1 (9:00 AM)
If x% of 600 = 12% of 250 + 18% of 300, then the value of x is:यदि 600 का x% = 250 का 12% + 300 का 18% है , तो x का मान क्या है ?
  1. A1212
  2. B1818
  3. C1616
  4. D1414
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Correct answer: (D) 1414

Q312RRB ALP CBT-1, 13 Feb 2026, Shift 1 (9:00 AM)
A question is followed by two statements numbered (I) and (II). You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and decide the appropriate answer. Q. Four relatives – Leena, Mona, Pooja, and Reema – are of different ages. Who is the second oldest? (I) Mona is older than Leena but younger than Reema. (II) Pooja is younger than Reema but older than Mona.
  1. AData in both statements I and II together (and not statement I alone or statement II alone) are sufficient to answer the question
  2. BData in Statement I alone is sufficient to answer the question while data in Statement II is not
  3. CData in Statement II alone is sufficient to answer the question while data in Statement I is not
  4. DData in both statements I and II together are NOT sufficient to answer the question
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Correct answer: (A) Data in both statements I and II together (and not statement I alone or statement II alone) are sufficient to answer the question

Q313RRB ALP CBT-1, 13 Feb 2026, Shift 1 (9:00 AM)
Among five people named V, W, X, Y and Z, each have a certain age. X is four times the age of Y. V's age is equal to the age of X. Y is one-third the age of Z. W is half the age of V. If the age of Z is 12, what is the age of W?पांच व्यक्तियों V, W, X, Y और Z में से प्रत्येक की एक निश्चित आयु है। X की आयु Y की आयु की चार गुना है। V की आयु X के बराबर है। Y की आयु Z की आयु की एक - तिहाई है। W की आयु V ​ की आयु की आधी है। यदि Z की आयु 12 वर्ष है , तो W की आयु कितनी है ?
  1. A88
  2. B66
  3. C1515
  4. D44
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Correct answer: (A) 88

Q314RRB ALP CBT-1, 13 Feb 2026, Shift 1 (9:00 AM)
A person drove at 53 kmph for 2.5 hours, then increased his speed by 28 kmph, and reached the destination in another hour. Find the average speed (in kmph) of the person during the entire journey.एक व्यक्ति ने 2.5 घंटे तक 53 kmph की चाल से गाड़ी चलाई , फिर अपनी चाल में 28 kmph की वृद्धि की तथा एक और घंटे में गंतव्य पर पहुँच गया। संपूर्ण यात्रा के दौरान व्यक्ति की औसत चाल (kmph में ) ज्ञात कीजिए।
  1. A5959
  2. B6161
  3. C6060
  4. D5858
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Correct answer: (B) 6161

Q315RRB ALP CBT-1, 13 Feb 2026, Shift 1 (9:00 AM)
Find the mean proportional of 49 and 16.49 और 16 का माध्यानुपाती ज्ञात कीजिए।
  1. A3636
  2. B3232
  3. C2828
  4. D2424
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Correct answer: (C) 2828

Q316RRB ALP CBT-1, 13 Feb 2026, Shift 1 (9:00 AM)
Refer to the following number and symbol series and answer the question that follows. Counting to be done from left to right only. (Note: All numbers are single digit numbers only.) (Left) 6 £ 2 @ % 7 8 # 1 3 * 9 $ & 4 ^ ≺ 5 (Right) How many such symbols are there, each of which is immediately preceded by a number and also immediately followed by another number?
  1. AOne
  2. BTwo
  3. CThree
  4. DNone
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Correct answer: (C) Three

Q317RRB ALP CBT-1, 13 Feb 2026, Shift 1 (9:00 AM)
Find the simplified value of the following expression.निम्नलिखित व्यंजक का सरलीकृत मान ज्ञात कीजिए।
  1. A2323
  2. B2222
  3. C2121
  4. D2424
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Correct answer: (B) 2222

Q318RRB ALP CBT-1, 13 Feb 2026, Shift 1 (9:00 AM)
In a circle, the diameter PQ is extended through Q to an external point X. Tangent XY is drawn to point Y on the circle. If XY = 15 cm and QX = 9 cm, then find the radius of the circle.एक वृत्त में , व्यास PQ को Q से होते हुए एक बाह्य बिंदु X तक विस्तारित किया जाता है। वृत्त पर बिंदु Y पर स्पर्श रेखा XY खींची जाती है। यदि XY = 15 cm और QX = 9 cm है , तो वृत्त की त्रिज्या ज्ञात कीजिए।
  1. A9 cm9 cm
  2. B7 cm7 cm
  3. C10 cm10 cm
  4. D8 cm8 cm
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Correct answer: (D) 8 cm8 cm

Q319RRB ALP CBT-1, 13 Feb 2026, Shift 1 (9:00 AM)
PQ is a direct common tangent of two circles with centers, and ,respectively, that contact each other externally at a point A. The circles have radii of 11 cm and 4 cm, respectively. Find the length of PQ.क्रमशः O और O केंद्र वाले दो वृत्त जो एक - दूसरे को बाह्य रूप से बिंदु A पर स्पर्श करते हैं , की 1 2
उभयनिष्ठ अनुस्पर्श रेखा PQ है। इन वृत्तों की त्रिज्याएँ क्रमशः 11 cm और 4 cm हैं। PQ की लंबाई ज्ञात कीजिए।
  1. AQuestion content
  2. BQuestion content
  3. CQuestion content
  4. DQuestion content
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Correct answer: (D)

How to use these RRB ALP Mathematics questions

Every question here was asked in a real RRB ALP paper; the paper and shift are shown on the card, and the number opens the question on its own page. Try each one before tapping Show answer, then attempt the full RRB ALP papers as timed tests to check your speed under exam conditions.

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