- Test booklet
- प्रश्न पुस्तिका
- Booklet No.
- 7750771
- Series
- A
IBPS RRB Clerk (Office Assistant) Prelims Paper 2
- 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
-
In a certain code, MOTHER is written as 158. How is COAT written in that code?
Answer and working
Answer B
MOTHER = 158 is twice the sum of the letters’ positions in the alphabet. For COAT: 3 + 15 + 1 + 20 doubled = 78.
-
Statement: Y > R = C < X = Q
Conclusions: I. R ≤ Q II. Q ≤ YAnswer and working
Answer A
R and Q: the chain gives R < Q, so R ≤ Q is definitely true. Q and Y: the signs between them point both ways, so no relation can be fixed, so Q ≤ Y is not definitely true. So: Only conclusion I follows.
-
Statements:
(1) Some rings are kites.
(2) All cups are rings.
(3) Some cups are lamps.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some cups are not rings.
(II) Some rings are lamps.Answer and working
Answer B
Conclusion I need not hold: every one of the cups may be rings. Conclusion II holds in every diagram the statements allow. So: Only conclusion II follows.
-
If ‘+’ means ‘−’, ‘−’ means ‘×’, ‘×’ means ‘÷’, ‘÷’ means ‘+’, what is the value of 39 + 8 × 2 − 8 ÷ 9?
Answer and working
Answer D
Replace the signs: 39 − 8 ÷ 2 × 8 + 9. Division and multiplication first, then addition and subtraction: 16.
-
Statements:
(1) All tables are trees.
(2) Some pens are trees.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some pens are not tables.
(II) All pens are tables.Answer and working
Answer C
Conclusion I need not hold: every one of the pens may be tables. Conclusion II need not hold: some pens may lie outside tables. 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 queue, Lata is 14th from the front and Ritu is 34th from the front. How many people stand between them?
Answer and working
Answer E
Between positions 14 and 34 there are 34 − 14 − 1 = 19 people.
-
M is the son of E. W is the father of P. E is the sister of W. How is M related to P?
Answer and working
Answer D
Follow the links out from P: W is P’s father; E is W’s sister; M is E’s son. So M is P’s cousin.
-
Which number replaces the question mark? 4, 5, 12, 39, ?, 805
Answer and working
Answer C
The rule: each term is the previous × 1 + 1, × 2 + 2, × 3 + 3, and so on. The missing term is 160.
-
Imran walks 6 km towards the west. He turns left and walks 3 km. He turns right and walks 13 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.
-
In the English alphabet, which letter is 6th to the right of the 20th letter from the right?
Answer and working
Answer A
The 20th letter from the right is G (position 7). 6 places to the right: position 13, which is M.
-
Sana walks 10 km towards the east. She turns right and walks 11 km. She turns left and walks 2 km. She turns left and walks 14 km. In which direction is she from the starting point?
Answer and working
Answer C
Taking east and north as positive: she ends 12 km east and 3 km north of the start, which is to the North-east.
-
Statement: E = Z = M ≤ J < G
Conclusions: I. J = Z II. J > ZAnswer and working
Answer C
J and Z: the chain gives J ≥ Z, so J = Z is not definitely true. J and Z: the chain gives J ≥ Z, so J > Z is not definitely true. Together the two cover every possibility the chain allows. So: Either conclusion I or II follows.
-
Statement: M < F > H > T > N
Conclusions: I. N ≥ H II. H ≥ NAnswer and working
Answer B
N and H: the chain gives N < H, so N ≥ H is not definitely true. H and N: the chain gives H > N, so H ≥ N is definitely true. So: Only conclusion II follows.
-
Deepak walks 15 km towards the south. He turns left and walks 13 km. He turns left and walks 10 km. He turns right and walks 8 km. He turns right and walks 2 km. Which direction is he facing now?
Answer and working
Answer C
Each right turn is a quarter turn clockwise, each left anticlockwise. The last leg runs South.
-
Statement: V ≥ Y > R ≤ H ≤ Q
Conclusions: I. Q > R II. Q = RAnswer and working
Answer C
Q and R: the chain gives Q ≥ R, so Q > R is not definitely true. Q and R: the chain gives Q ≥ R, so Q = R is not definitely true. Together the two cover every possibility the chain allows. So: Either conclusion I or II follows.
-
S is the wife of X. Z is the mother of S. How is Z related to X?
Answer and working
Answer D
Follow the links out from X: S is X’s wife; Z is S’s mother. So Z is X’s mother-in-law.
-
If ‘+’ means ‘×’, ‘−’ means ‘÷’, ‘×’ means ‘+’, ‘÷’ means ‘−’, what is the value of 10 × 10 + 6 − 20 ÷ 7?
Answer and working
Answer C
Replace the signs: 10 + 10 × 6 ÷ 20 − 7. Division and multiplication first, then addition and subtraction: 6.
-
In a certain code, LEMON is written as KDLNM. How is BRICK written in that code?
Answer and working
Answer D
From LEMON → KDLNM: each letter moves 1 place back. Applied to BRICK: AQHBJ.
-
In a certain code, RAIN is written as TCKP. How is RIVER written in that code?
Answer and working
Answer D
From RAIN → TCKP: each letter moves 2 places forward. Applied to RIVER: TKXGT.
-
In a certain code, BRICK is written as MEKTD. How is BREAD written in that code?
Answer and working
Answer A
From BRICK → MEKTD: the word is written backwards and each letter moves 2 forward. Applied to BREAD: FCGTD.
-
Statement: N ≤ X ≥ K ≤ R < V
Conclusions: I. N ≥ K II. K ≤ VAnswer and working
Answer B
N and K: the signs between them point both ways, so no relation can be fixed, so N ≥ K is not definitely true. K and V: the chain gives K < V, so K ≤ V is definitely true. So: Only conclusion II follows.
Directions for questions 22 to 26
Seven friends, Arun, Bina, Chetan, Divya, Esha, Farhan and Gopal, sit in a row facing north. Chetan sits at one of the two ends. Exactly 2 people sit between Esha and Divya. Arun sits second to the left of Chetan. Arun sits immediately to the right of Farhan. Arun and Divya sit next to each other. Exactly 4 people sit between Bina and Chetan.-
Who sits exactly between Esha and Arun?
Answer and working
Answer E
Only one order fits every clue, from the left: Gopal, Bina, Esha, Farhan, Arun, Divya, Chetan. Farhan.
-
Who sits immediately to the right of Farhan?
Answer and working
Answer D
Only one order fits every clue, from the left: Gopal, Bina, Esha, Farhan, Arun, Divya, Chetan. Arun.
-
Who sits at the extreme right end?
Answer and working
Answer B
Only one order fits every clue, from the left: Gopal, Bina, Esha, Farhan, Arun, Divya, Chetan. Chetan.
-
What is Chetan’s position from the left end?
Answer and working
Answer D
Only one order fits every clue, from the left: Gopal, Bina, Esha, Farhan, Arun, Divya, Chetan. 7th.
-
How many people sit between Arun and Esha?
Answer and working
Answer C
Only one order fits every clue, from the left: Gopal, Bina, Esha, Farhan, Arun, Divya, Chetan. Between them: 1.
-
Pointing to a woman in a photograph, Pooja said, ‘She is the wife of my father’s only son.’ How is the woman related to Pooja?
Answer and working
Answer D
My father’s only son is my brother; his wife is my sister-in-law. So the woman is Pooja’s sister-in-law.
-
Statements:
(1) Some chairs are kites.
(2) All cups are kites.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) All chairs are kites.
(II) All cups are chairs.Answer and working
Answer D
Conclusion I need not hold: some chairs may lie outside kites. Conclusion II need not hold: some cups may lie outside chairs. So: Neither conclusion follows.
-
Which one does not belong with the others?
Answer and working
Answer B
In the others the letters are 2 apart (ACE); in GIL the last gap is 3. The odd one is GIL.
-
Rohit walks 2 km towards the east. He turns left and walks 9 km. He turns right and walks 10 km. How far is he from the starting point in a straight line?
Answer and working
Answer C
Taking east and north as positive: he ends 12 km east and 9 km north of the start. Straight-line distance = √(12² + 9²) = 15 km.
-
Statements:
(1) Some pens are fans.
(2) Some pens are not phones.
(3) All phones are rings.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) All phones are fans.
(II) Some pens are not fans.Answer and working
Answer D
Conclusion I need not hold: some phones may lie outside fans. Conclusion II need not hold: every one of the pens may be fans. So: Neither conclusion follows.
-
Statements:
(1) Some clocks are doors.
(2) All trees are clocks.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some trees are not doors.
(II) No clocks are doors.Answer and working
Answer D
Conclusion I need not hold: every one of the trees may be doors. Conclusion II need not hold: clocks and doors may overlap. So: Neither conclusion follows.
-
Which number replaces the question mark? 64, 125, 216, 343, 512, ?
Answer and working
Answer E
The rule: the terms are 4³, 5³, 6³ …. The missing term is 729.
-
In the English alphabet, which letter is 7th to the left of the 15th letter from the left?
Answer and working
Answer B
The 15th letter from the left is O (position 15). 7 places to the left: position 8, which is H.
-
In a row of 60 students, Farhan is 27th from the left. What is Farhan’s position from the right?
Answer and working
Answer B
Position from the right = total − position from the left + 1 = 60 − 27 + 1 = 34th.
-
Statements:
(1) All buses are rivers.
(2) All buses are clocks.
(3) Some phones are clocks.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some phones are rivers.
(II) No phones are rivers.Answer and working
Answer C
Conclusion I need not hold: phones and rivers need not overlap at all. Conclusion II need not hold: phones and rivers may overlap. 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, FRIEND is written as EOFJSG. How is HORSE written in that code?
Answer and working
Answer E
From FRIEND → EOFJSG: the word is written backwards and each letter moves 1 forward. Applied to HORSE: FTSPI.
-
Statements:
(1) No trees are books.
(2) All clouds are books.
(3) All lamps are clouds.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) No trees are clouds.
(II) All clouds are lamps.Answer and working
Answer A
Conclusion I holds in every diagram the statements allow. Conclusion II need not hold: some clouds may lie outside lamps. So: Only conclusion I follows.
-
Statement: N > Q < R > B = A
Conclusions: I. R = N II. Q > AAnswer and working
Answer D
R and N: the signs between them point both ways, so no relation can be fixed, so R = N is not definitely true. Q and A: the signs between them point both ways, so no relation can be fixed, so Q > A is not definitely true. So: Neither conclusion follows.
-
Pointing to a woman in a photograph, Priya said, ‘Her mother is the only daughter of my mother.’ How is the woman related to Priya?
Answer and working
Answer A
The only daughter of my mother is me, so I am the mother. So the woman is Priya’s daughter.
Part BNumerical Ability
-
What is the value of 92² − 77²?
Answer and working
Answer E
a² − b² = (a + b)(a − b) = 169 × 15 = 2,535.
-
Solve both equations and compare x and y.
I. x² − 10x + 16 = 0
II. y² − 13y + 42 = 0Answer and working
Answer E
I gives x = 2 or 8. II gives y = 6 or 7. Some x are bigger and some smaller than some y, so no single relation holds: x = y or no relation can be established.
-
Which number replaces the question mark? 9, 18, 36, 72, 144, ?
Answer and working
Answer D
The rule: each term is the previous × 2. The missing term is 288.
-
A is four times as efficient as B. Together they finish a job in 12 days. How long would A take alone?
Answer and working
Answer D
If B does 1 unit a day, A does 4; together 5 units a day for 12 days = 60 units. A alone: 60 ÷ 4 = 15 days.
-
A boat covers 110 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the stream?
Answer and working
Answer D
Downstream speed = 110 ÷ 5 = 22 km/h; upstream = 60 ÷ 5 = 12 km/h. Stream = (22 − 12) ÷ 2 = 5 km/h.
-
A shopkeeper marks an article 40% above its cost price and allows a discount of 25%. If the article was sold for ₹1,995, what was its cost price?
Answer and working
Answer D
SP = CP × 1.4 × 0.75 = CP × 1.05. So CP = 1,995 ÷ 1.05 = ₹1,900.
-
Which number replaces the question mark? 3, 6, 11, 18, 27, 38, ?
Answer and working
Answer B
The rule: the terms are 1², 2², 3² … plus 2. The missing term is 51.
-
What is √144 + √729 − √361?
Answer and working
Answer A
12 + 27 − 19 = 20.
-
What is √256 + √484 − √169?
Answer and working
Answer E
16 + 22 − 13 = 25.
-
The population of a town is 36,000. It grows by 20% every year. What will it be after 2 years?
Answer and working
Answer C
36,000 × (1 + 20/100)² = 36,000 × 1.44 = 51,840. Growing 20% on 36,000 twice, not 40% once.
-
Which number replaces the question mark? 2, 2, ?, 2, 2, 2
Answer and working
Answer B
The rule: each term is the previous × 2 − 2. The missing term is 2.
-
Two trains 300 m and 180 m long run on parallel tracks in opposite directions at 40 km/h and 32 km/h. How long do they take to cross each other?
Answer and working
Answer D
Relative speed = 40 + 32 = 72 km/h = 20 m/s. Distance = 300 + 180 = 480 m. Time = 480 ÷ 20 = 24 seconds.
-
What is √256 + √289 − √729?
Answer and working
Answer C
16 + 17 − 27 = 6.
-
What is the compound interest on ₹36,250 for 2 years at 8% per annum, compounded annually?
Answer and working
Answer A
Amount = 36,250 × (1 + 8/100)2 = ₹42,282. CI = 42,282 − 36,250 = ₹6,032.
-
Solve both equations and compare x and y.
I. x² + 5x = 0
II. y² + 4y − 5 = 0Answer and working
Answer E
I gives x = −5 or 0. II gives y = −5 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.
-
What is the mean proportional between 125 and 45?
Answer and working
Answer A
Mean proportional = √(125 × 45) = √5625 = 75.
-
Solve both equations and compare x and y.
I. x² + 3x − 40 = 0
II. y² − 20y + 96 = 0Answer and working
Answer C
I gives x = −8 or 5. II gives y = 8 or 12. Every x is smaller than every y: x < y.
-
What is √484 + √324 − √196?
Answer and working
Answer A
22 + 18 − 14 = 26.
-
In what ratio must rice at ₹49/kg be mixed with rice at ₹65/kg so that the mixture is worth ₹54/kg?
Answer and working
Answer B
By alligation: cheaper : dearer = (65 − 54) : (54 − 49) = 11 : 5 = 11 : 5.
Directions for questions 60 to 64
Study the table and answer the questions that follow.
Saplings planted by five villages, in two successive years Village Year 1 Year 2 Village P 740 962 Village Q 780 858 Village R 300 375 Village S 260 286 Village T 740 666 -
By what percent did Village T’s figure change from Year 1 to Year 2?
Answer and working
Answer A
Change = 666 − 740 = −74. On Year 1: −74 ÷ 740 × 100 = 10% decrease.
-
Village Q’s Year 2 figure is what percent of Village R’s Year 2 figure?
Answer and working
Answer A
858 ÷ 375 × 100 = 228.8%.
-
What is the average Year 2 figure of the five?
Answer and working
Answer C
Sum of Year 2 = 3,147. ÷ 5 = 629.4.
-
Which one grew the most in percentage terms from Year 1 to Year 2?
Answer and working
Answer B
Growth: Village P 30%, Village Q 10%, Village R 25%, Village S 10%, Village T −10%. The highest is Village P.
-
What is the total for Village T over the two years?
Answer and working
Answer E
740 + 666 = 1,406.
-
Find the wrong number in the series: 41, 43, 47, 62, 59, 61, 67
Answer and working
Answer E
The rule: consecutive prime numbers. The term in place of 62 should be 53, so the wrong number is 62.
-
Solve both equations and compare x and y.
I. x² − 14x + 33 = 0
II. y² − y − 42 = 0Answer and working
Answer E
I gives x = 3 or 11. II gives y = −6 or 7. Some x are bigger and some smaller than some y, so no single relation holds: x = y or no relation can be established.
-
The present ages of Asha and her father are in the ratio 2 : 9. After 6 years, the ratio will be 1 : 3. What is Asha’s present age?
Answer and working
Answer A
Ages 2x and 9x. (2x + 6) : (9x + 6) = 1 : 3 gives x = 4. Asha is 2 × 4 = 8 years.
-
Solve both equations and compare x and y.
I. x² + 6x − 16 = 0
II. y² − 20y + 99 = 0Answer and working
Answer C
I gives x = −8 or 2. II gives y = 9 or 11. Every x is smaller than every y: x < y.
-
Which number replaces the question mark? 9, 19, 39, 79, 159, 319, ?
Answer and working
Answer A
The rule: each term is the previous × 2 + 1. The missing term is 639.
-
A shopkeeper marks an article 20% above its cost price and allows a discount of 10%. If the article was sold for ₹2,646, what was its cost price?
Answer and working
Answer A
SP = CP × 1.2 × 0.9 = CP × 1.08. So CP = 2,646 ÷ 1.08 = ₹2,450.
-
A train 210 m long passes a signal post in 21 seconds. What is its speed in km/h?
Answer and working
Answer A
Speed = 210 ÷ 21 = 10 m/s = 10 × 18/5 = 36 km/h.
-
The monthly rent of a shop goes from ₹580 to ₹406. What is the percentage decrease?
Answer and working
Answer C
Change = ₹174. On the original value: 174 ÷ 580 × 100 = 30%, a 30% decrease. Dividing by the new value, 406, is the usual slip.
-
A sum of money at simple interest amounts to ₹46,400 in 4 years and to ₹51,200 in 7 years. What is the sum?
Answer and working
Answer A
Interest for 3 years = 51,200 − 46,400 = ₹4,800, so ₹1,600 a year. Interest for 4 years = ₹6,400. Sum = 46,400 − 6,400 = ₹40,000.
-
Solve both equations and compare x and y.
I. x² − 19x + 88 = 0
II. y² − 12y = 0Answer and working
Answer E
I gives x = 8 or 11. II gives y = 0 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 − x − 42 = 0
II. y² − 4y − 96 = 0Answer and working
Answer E
I gives x = −6 or 7. II gives y = −8 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.
-
24 is what percent of 160?
Answer and working
Answer C
24 ÷ 160 × 100 = 15%.
-
Section A has 34 students with an average score of 46; section B has 17 students averaging 70. What is the average score of both sections together?
Answer and working
Answer C
(34 × 46 + 17 × 70) ÷ 51 = 2754 ÷ 51 = 54. The plain mean of 46 and 70 ignores the sizes of the sections.
-
What is the value of 60² − 27²?
Answer and working
Answer D
a² − b² = (a + b)(a − b) = 87 × 33 = 2,871.
-
One card is drawn at random from a well-shuffled pack of 52. What is the probability that it is a red king?
Answer and working
Answer C
2 of the 52 cards qualify. Probability = 1⁄26.
-
Find the wrong number in the series: 43, 47, 50, 59, 61, 67, 71
Answer and working
Answer B
The rule: consecutive prime numbers. The term in place of 50 should be 53, so the wrong number is 50.