- Test booklet
- प्रश्न पुस्तिका
- Booklet No.
- 8752782
- Series
- C
IBPS RRB Clerk (Office Assistant) Prelims Paper 7
- Questions
- 80
- Maximum marks
- 80
- Minutes allowed
- 45
Instructions निर्देश
- This booklet has 80 questions in 2 parts: A. Reasoning (40), B. Numerical Ability (40).
- Each part has its own clock. When it runs out, that part closes and the next opens.
- Each question has 5 options and one right answer. A right answer earns 1 mark. A wrong answer costs 0.25. A question left blank scores nothing.
- Fill one bubble per question on the answer sheet. Unlike a real sheet, you can clear it and change your mind.
Scripting is off, so this page is a printed paper: answer on paper, then open each question’s working.
Part AReasoning
-
Statements:
(1) No books are boxes.
(2) All books are stones.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some stones are books.
(II) All stones are boxes.Answer and working
Answer A
Conclusion I holds in every diagram the statements allow. Conclusion II need not hold: some stones may lie outside boxes. So: Only conclusion I follows.
-
Statement: U > W ≤ Z > E < C
Conclusions: I. U > E II. C < WAnswer and working
Answer D
U and E: the signs between them point both ways, so no relation can be fixed, so U > E is not definitely true. C and W: the signs between them point both ways, so no relation can be fixed, so C < W is not definitely true. So: Neither conclusion follows.
-
In a row of 47 students, Lata is 40th from the left. What is Lata’s position from the right?
Answer and working
Answer C
Position from the right = total − position from the left + 1 = 47 − 40 + 1 = 8th.
-
Which number replaces the question mark? 8, 26, 80, 242, 728, 2,186, ?
Answer and working
Answer E
The rule: each term is the previous × 3 + 2. The missing term is 6,560.
-
Farah walks 4 km towards the north. She turns left and walks 5 km. She turns left and walks 14 km. She turns left and walks 5 km. How far, and in which direction, is she from the starting point?
Answer and working
Answer B
Taking east and north as positive: she ends 0 km east and 10 km south of the start. Distance = √(0² + 10²) = 10 km. 10 km, south.
-
Kabir walks 7 km towards the west. He turns left and walks 7 km. He turns right and walks 9 km. He turns right and walks 6 km. He turns right and walks 6 km. In which direction is he from the starting point?
Answer and working
Answer A
Taking east and north as positive: he ends 10 km west and 1 km south of the start, which is to the South-west.
-
Pointing to a man in a photograph, Kabir said, ‘His mother is the only daughter of my mother.’ How is the man related to Kabir?
Answer and working
Answer C
The only daughter of my mother is my sister, so the child is my sister’s. So the man is Kabir’s nephew.
-
Pointing to a woman in a photograph, Sana said, ‘She is the wife of my father’s only son.’ How is the woman related to Sana?
Answer and working
Answer A
My father’s only son is my brother; his wife is my sister-in-law. So the woman is Sana’s sister-in-law.
-
If ‘+’ means ‘÷’, ‘−’ means ‘×’, ‘×’ means ‘−’, ‘÷’ means ‘+’, what is the value of 59 − 8 + 2 ÷ 14 × 4?
Answer and working
Answer B
Replace the signs: 59 × 8 ÷ 2 + 14 − 4. Division and multiplication first, then addition and subtraction: 246.
-
In a certain code, MONEY is written as KMLCW. How is GRAPE written in that code?
Answer and working
Answer A
From MONEY → KMLCW: each letter moves 2 places back. Applied to GRAPE: EPYNC.
-
Statement: H ≥ K > C > D > V
Conclusions: I. D > K II. K ≥ DAnswer and working
Answer B
D and K: the chain gives D < K, so D > K is not definitely true. K and D: the chain gives K > D, so K ≥ D is definitely true. So: Only conclusion II follows.
-
In a certain code, RAIN is written as TYKL. How is FRIEND written in that code?
Answer and working
Answer D
From RAIN → TYKL: letters in odd places move 2 forward, letters in even places move 2 back. Applied to FRIEND: HPKCPB.
-
Manoj walks 8 km towards the east. He turns left and walks 8 km. He turns left and walks 6 km. Which direction is he facing now?
Answer and working
Answer D
Each right turn is a quarter turn clockwise, each left anticlockwise. The last leg runs West.
-
Which one does not belong with the others?
Answer and working
Answer D
In the others the second number is n³ of the first; 9 : 732 breaks it. The odd one is 9 : 732.
-
In a class, Vikram ranks 8th from the top and 26th from the bottom. How many students are in the class?
Answer and working
Answer E
Vikram is counted in both ranks, so the total is 8 + 26 − 1 = 33.
-
Statement: Q ≤ C > X > B ≥ R
Conclusions: I. C > B II. R ≤ XAnswer and working
Answer E
C and B: the chain gives C > B, so C > B is definitely true. R and X: the chain gives R < X, so R ≤ X is definitely true. So: Both conclusions follow.
-
N is the father of J. J is the wife of A. How is N related to A?
Answer and working
Answer E
Follow the links out from A: J is A’s wife; N is J’s father. So N is A’s father-in-law.
-
In a certain code, COPPER is written as QDOONB. How is PLANET written in that code?
Answer and working
Answer E
From COPPER → QDOONB: the word is written backwards and each letter moves 1 back. Applied to PLANET: SDMZKO.
Directions for questions 19 to 23
Six friends, Arun, Bina, Chetan, Divya, Esha and Farhan, sit in a row facing north. Esha sits immediately to the left of Farhan. Bina sits second to the right of Divya. Esha sits somewhere to the right of Chetan. Arun sits immediately to the right of Bina.-
What is Chetan’s position from the left end?
Answer and working
Answer B
Only one order fits every clue, from the left: Divya, Chetan, Bina, Arun, Esha, Farhan. 2nd.
-
Who sits at the extreme left end?
Answer and working
Answer D
Only one order fits every clue, from the left: Divya, Chetan, Bina, Arun, Esha, Farhan. Divya.
-
Who sits at the extreme right end?
Answer and working
Answer D
Only one order fits every clue, from the left: Divya, Chetan, Bina, Arun, Esha, Farhan. Farhan.
-
Which pair sits at the two ends of the row?
Answer and working
Answer B
Only one order fits every clue, from the left: Divya, Chetan, Bina, Arun, Esha, Farhan. Divya and Farhan.
-
How many people sit between Farhan and Chetan?
Answer and working
Answer D
Only one order fits every clue, from the left: Divya, Chetan, Bina, Arun, Esha, Farhan. Between them: 3.
-
W is the sister of F. F is the wife of K. How is W related to K?
Answer and working
Answer C
Follow the links out from K: F is K’s wife; W is F’s sister. So W is K’s sister-in-law.
-
Statements:
(1) All doors are boxes.
(2) All planes are doors.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) All boxes are planes.
(II) Some planes are doors.Answer and working
Answer B
Conclusion I need not hold: some boxes may lie outside planes. Conclusion II holds in every diagram the statements allow. So: Only conclusion II follows.
-
Statement: G ≤ V ≥ H > F ≤ N
Conclusions: I. F < G II. G ≤ FAnswer and working
Answer D
F and G: the signs between them point both ways, so no relation can be fixed, so F < G is not definitely true. G and F: the signs between them point both ways, so no relation can be fixed, so G ≤ F is not definitely true. So: Neither conclusion follows.
-
In the English alphabet, which letter is 8th to the right of the 15th letter from the right?
Answer and working
Answer D
The 15th letter from the right is L (position 12). 8 places to the right: position 20, which is T.
-
Statements:
(1) Some rings are doors.
(2) All clocks are rings.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) No clocks are doors.
(II) Some clocks are doors.Answer and working
Answer C
Conclusion I need not hold: clocks and doors may overlap. Conclusion II need not hold: clocks and doors need not overlap at all. But the two cannot both be false: in every diagram exactly one of them is true. So: Either conclusion I or II follows.
-
Statements:
(1) Some leaves are bags.
(2) Some leaves are chairs.
(3) No chairs are doors.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) No bags are chairs.
(II) Some leaves are not chairs.Answer and working
Answer D
Conclusion I need not hold: bags and chairs may overlap. Conclusion II need not hold: every one of the leaves may be chairs. So: Neither conclusion follows.
-
Vijay walks 5 km towards the north. He turns left and walks 12 km. He turns right and walks 2 km. He turns right and walks 12 km. He turns right and walks 11 km. How far, and in which direction, is he from the starting point?
Answer and working
Answer B
Taking east and north as positive: he ends 0 km east and 4 km south of the start. Distance = √(0² + 4²) = 4 km. 4 km, south.
-
If ‘+’ means ‘÷’, ‘−’ means ‘+’, ‘×’ means ‘−’, ‘÷’ means ‘×’, what is the value of 2 + 2 ÷ 7 × 10 − 6?
Answer and working
Answer B
Replace the signs: 2 ÷ 2 × 7 − 10 + 6. Division and multiplication first, then addition and subtraction: 3.
-
In the English alphabet, which letter is 3rd to the left of the 12th letter from the left?
Answer and working
Answer C
The 12th letter from the left is L (position 12). 3 places to the left: position 9, which is I.
-
Statements:
(1) Some leaves are papers.
(2) All planes are leaves.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) All leaves are planes.
(II) Some leaves are not planes.Answer and working
Answer C
Conclusion I need not hold: some leaves may lie outside planes. Conclusion II need not hold: every one of the leaves may be planes. But the two cannot both be false: in every diagram exactly one of them is true. So: Either conclusion I or II follows.
-
In a certain code, BREAD is written as YIVZW. How is TABLE written in that code?
Answer and working
Answer E
From BREAD → YIVZW: each letter is replaced by its opposite in the alphabet (A ↔ Z, B ↔ Y …). Applied to TABLE: GZYOV.
-
Statement: N ≥ M = U > C < W
Conclusions: I. U ≤ N II. W ≥ MAnswer and working
Answer A
U and N: the chain gives U ≤ N, so U ≤ N is definitely true. W and M: the signs between them point both ways, so no relation can be fixed, so W ≥ M is not definitely true. So: Only conclusion I follows.
-
In a certain code, EAGLE is written as FBHMF. How is COAT written in that code?
Answer and working
Answer D
From EAGLE → FBHMF: each letter moves 1 place forward. Applied to COAT: DPBU.
-
Statement: J ≤ Y ≥ U ≥ P > F
Conclusions: I. F ≤ Y II. U ≥ JAnswer and working
Answer A
F and Y: the chain gives F < Y, so F ≤ Y is definitely true. U and J: the signs between them point both ways, so no relation can be fixed, so U ≥ J is not definitely true. So: Only conclusion I follows.
-
Statements:
(1) All bags are bottles.
(2) Some bottles are roads.
(3) Some roads are not kites.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some bottles are bags.
(II) Some kites are not bags.Answer and working
Answer A
Conclusion I holds in every diagram the statements allow. Conclusion II need not hold: every one of the kites may be bags. So: Only conclusion I follows.
-
Which number replaces the question mark? 6, 7, 16, 51, 208, ?
Answer and working
Answer D
The rule: each term is the previous × 1 + 1, × 2 + 2, × 3 + 3, and so on. The missing term is 1,045.
-
Statements:
(1) Some clocks are birds.
(2) All kites are clocks.
(3) All trees are kites.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some trees are kites.
(II) Some clocks are kites.Answer and working
Answer E
Conclusion I holds in every diagram the statements allow. Conclusion II holds in every diagram the statements allow. So: Both conclusions follow.
Part BNumerical Ability
-
A boat covers 65 km downstream in 5 hours and 18 km upstream in 2 hours. What is the speed of the stream?
Answer and working
Answer E
Downstream speed = 65 ÷ 5 = 13 km/h; upstream = 18 ÷ 2 = 9 km/h. Stream = (13 − 9) ÷ 2 = 2 km/h.
-
Two trains 150 m and 210 m long run on parallel tracks in opposite directions at 51 km/h and 57 km/h. How long do they take to cross each other?
Answer and working
Answer C
Relative speed = 51 + 57 = 108 km/h = 30 m/s. Distance = 150 + 210 = 360 m. Time = 360 ÷ 30 = 12 seconds.
-
Which number replaces the question mark? 31, 37, 41, 43, 47, 53, ?
Answer and working
Answer B
The rule: consecutive prime numbers. The missing term is 59.
-
The monthly rent of a shop goes from ₹720 to ₹432. What is the percentage decrease?
Answer and working
Answer E
Change = ₹288. On the original value: 288 ÷ 720 × 100 = 40%, a 40% decrease. Dividing by the new value, 432, is the usual slip.
-
Simplify: 3⁄4 + 5⁄8 + 1⁄2
Answer and working
Answer C
Over the common denominator 8: the sum is 15⁄8. Adding tops and bottoms separately (9/14) is the trap.
-
What is the compound interest on ₹32,400 for 2 years at 5% per annum, compounded annually?
Answer and working
Answer B
Amount = 32,400 × (1 + 5/100)2 = ₹35,721. CI = 35,721 − 32,400 = ₹3,321.
-
The present ages of Asha and her father are in the ratio 5 : 9. After 7 years, the ratio will be 3 : 5. What is Asha’s present age?
Answer and working
Answer A
Ages 5x and 9x. (5x + 7) : (9x + 7) = 3 : 5 gives x = 7. Asha is 5 × 7 = 35 years.
-
Two fair dice are thrown together. What is the probability that the sum is 6?
Answer and working
Answer E
There are 36 equally likely outcomes and 5 of them qualify. Probability = 5⁄36.
-
50 litres of a mixture contains milk and water in the ratio 3 : 2. How much water must be added to make the ratio 1 : 5?
Answer and working
Answer D
Milk = 30 l, water = 20 l. For 1 : 5, water must be 30 × 5/1 = 150 l. Add 150 − 20 = 130 litres.
-
Which number replaces the question mark? 22, 25, 29, 34, 40, 47, ?
Answer and working
Answer C
The rule: the differences grow by 1: 3, 4, 5, 6, 7, 8. The missing term is 55.
-
Solve both equations and compare x and y.
I. x² − 5x − 24 = 0
II. y² − 5y − 50 = 0Answer and working
Answer E
I gives x = −3 or 8. II gives y = −5 or 10. Some x are bigger and some smaller than some y, so no single relation holds: x = y or no relation can be established.
-
A shopkeeper marks an article 40% above its cost price and allows a discount of 20%. If the article was sold for ₹840, what was its cost price?
Answer and working
Answer D
SP = CP × 1.4 × 0.8 = CP × 1.12. So CP = 840 ÷ 1.12 = ₹750.
-
A sum of money becomes four times itself in 12 years at simple interest. What is the rate of interest per annum?
Answer and working
Answer E
The interest earned is 3 times the principal in 12 years. Rate = 3 × 100 / 12 = 25%.
-
A scooter runs at 72 km/h. What is its speed in metres per second?
Answer and working
Answer B
Multiply by 5/18: 72 × 5/18 = 20 m/s.
-
Which number replaces the question mark? 2, 9, 28, 65, 126, ?
Answer and working
Answer A
The rule: the terms are 1³, 2³, 3³ … plus 1. The missing term is 217.
-
What is √289 + √361 − √400?
Answer and working
Answer A
17 + 19 − 20 = 16.
-
Which number replaces the question mark? 2, 8, 26, 80, ?, 728
Answer and working
Answer C
The rule: each term is the previous × 3 + 2. The missing term is 242.
-
Section A has 26 students with an average score of 56; section B has 39 students averaging 76. What is the average score of both sections together?
Answer and working
Answer C
(26 × 56 + 39 × 76) ÷ 65 = 4420 ÷ 65 = 68. The plain mean of 56 and 76 ignores the sizes of the sections.
-
Ramesh can finish a piece of work in 44 days and Suresh can finish it in 77 days. Working together, how long will they take?
Answer and working
Answer A
In one day they do 1/44 + 1/77 = 1/28 of the work. Time = 44 × 77 ÷ (44 + 77) = 28 days.
-
A train 450 m long passes a signal post in 30 seconds. What is its speed in km/h?
Answer and working
Answer C
Speed = 450 ÷ 30 = 15 m/s = 15 × 18/5 = 54 km/h.
-
Solve both equations and compare x and y.
I. x² + 7x = 0
II. y² + 8y + 7 = 0Answer and working
Answer E
I gives x = −7 or 0. II gives y = −7 or −1. Some x are bigger and some smaller than some y, so no single relation holds: x = y or no relation can be established.
-
The price of a cooler goes from ₹740 to ₹1,184. What is the percentage increase?
Answer and working
Answer A
Change = ₹444. On the original value: 444 ÷ 740 × 100 = 60%, a 60% increase. Dividing by the new value, 1,184, is the usual slip.
-
What is √576 + √225 − √841?
Answer and working
Answer A
24 + 15 − 29 = 10.
-
Solve both equations and compare x and y.
I. x² + 8x + 12 = 0
II. y² − 13y + 22 = 0Answer and working
Answer C
I gives x = −6 or −2. II gives y = 2 or 11. Every x is smaller than every y: x < y.
-
Solve both equations and compare x and y.
I. x² − 16x + 60 = 0
II. y² − 12y + 27 = 0Answer and working
Answer E
I gives x = 6 or 10. II gives y = 3 or 9. Some x are bigger and some smaller than some y, so no single relation holds: x = y or no relation can be established.
Directions for questions 66 to 70
Study the table and answer the questions that follow.
Cars produced by five plants, in two successive years Plant Year 1 Year 2 Plant J 800 840 Plant K 360 432 Plant L 400 560 Plant M 260 338 Plant N 440 462 -
Which one grew the most in percentage terms from Year 1 to Year 2?
Answer and working
Answer A
Growth: Plant J 5%, Plant K 20%, Plant L 40%, Plant M 30%, Plant N 5%. The highest is Plant L.
-
What is the average Year 2 figure of the five?
Answer and working
Answer E
Sum of Year 2 = 2,632. ÷ 5 = 526.4.
-
Plant N’s Year 2 figure is what percent of Plant L’s Year 2 figure?
Answer and working
Answer B
462 ÷ 560 × 100 = 82.5%.
-
What is the total for Plant M over the two years?
Answer and working
Answer C
260 + 338 = 598.
-
By what percent did Plant K’s figure change from Year 1 to Year 2?
Answer and working
Answer A
Change = 432 − 360 = 72. On Year 1: 72 ÷ 360 × 100 = 20% increase.
-
Simplify: 3⁄4 + 5⁄8 + 1⁄2
Answer and working
Answer E
Over the common denominator 24: the sum is 15⁄8. Adding tops and bottoms separately (11/18) is the trap.
-
A shopkeeper marks an article 20% above its cost price and allows a discount of 20%. If the article was sold for ₹2,160, what was its cost price?
Answer and working
Answer B
SP = CP × 1.2 × 0.8 = CP × 0.96. So CP = 2,160 ÷ 0.96 = ₹2,250.
-
Solve both equations and compare x and y.
I. x² + 2x − 8 = 0
II. y² − 18y + 77 = 0Answer and working
Answer C
I gives x = −4 or 2. II gives y = 7 or 11. Every x is smaller than every y: x < y.
-
Solve both equations and compare x and y.
I. x² − 17x + 72 = 0
II. y² − 10y − 24 = 0Answer and working
Answer E
I gives x = 8 or 9. II gives y = −2 or 12. Some x are bigger and some smaller than some y, so no single relation holds: x = y or no relation can be established.
-
Solve both equations and compare x and y.
I. x² + 7x + 6 = 0
II. y² − 1 = 0Answer and working
Answer D
I gives x = −6 or −1. II gives y = −1 or 1. No x is greater than any y, and one value of each is equal: x ≤ y.
-
Which number replaces the question mark? 6, 12, 24, 48, 96, ?
Answer and working
Answer B
The rule: each term is the previous × 2. The missing term is 192.
-
The incomes of P and Q are in the ratio 5 : 6 and their expenditures are in the ratio 4 : 5. If each saves ₹2,000 a month, what is P’s monthly income?
Answer and working
Answer A
Incomes 5x and 6x. (5x − 2,000) : (6x − 2,000) = 4 : 5 gives x = 2,000. P’s income = 5 × 2,000 = ₹10,000.
-
Find the wrong number in the series: 5, 14, 30, 55, 91, 137, 204
Answer and working
Answer A
The rule: the differences are squares: 9, 16, 25, 36, 49, 64. The term in place of 137 should be 140, so the wrong number is 137.
-
What is the value of 75² − 56²?
Answer and working
Answer D
a² − b² = (a + b)(a − b) = 131 × 19 = 2,489.
-
Simplify: 41 + 15 × 11 − 9 ÷ 3
Answer and working
Answer C
Division and multiplication first: 15 × 11 = 165 and 9 ÷ 3 = 3. Then 41 + 165 − 3 = 203.