RRB NTPC Undergraduate CBT II Solved Papers

A shopkeeper professes to sell his goods at a 5% loss but uses a false balance and gains 40%. The actual weight (rounded off to one decimal place) he uses for 1 kg is:

How many spherical lead shots of radius 3 cm can be made out of a solid cuboid of lead having dimensions 54 cm x 44 cm x 30 cm? (Take $\pi = \frac{22}{7}$)

Arrange the ratios in the ascending order: 6:7, 11:12, 21:23, 31:35, 43:45.

Find the total surface area of a hemispherical bowl whose volume is $7.065\text{ m}^3$. (Take $\pi = 3.14$)

A student's marks were incorrectly entered as 68 instead of 59. Due to this, the average marks of the class got increased by 1.8. What is the number of students in the class?

A stationery shop sells notebooks and pens. Suppose 5 notebooks and 3 pens cost ₹146, whereas 7 notebooks and 2 pens cost ₹178. If a student buys 4 notebooks and 6 pens, how much will the student pay?

In a circular race of $2025\text{ m}$, Kushal and Yamini start from the same point and at the same time with speeds of $33\text{ km/h}$ and $36\text{ km/h}$, respectively. After how long will they meet again for the first time on the track when they are running in the same direction?

A team of 24 workers is assigned to finish a task in 15 days. After working for 1 day, 8 workers quit. Assuming all workers are equally efficient, how many additional days will the remaining workers need to complete the rest of the task?

The mean of a data is 41 and its median is 50. The mode (using empirical relation) of the data is:

A and B complete a piece of work in 24 days. If A alone can complete it in 60 days, then in how many days can B alone complete one-fourth of the same work?

What should come in place of the question mark (?) in the given series?

74   75   67   94   30   ?

Based on the English alphabetical order, three of the following four letter-cluster pairs are alike in a certain way and thus form a group. Which is the one that does not belong to that group?

(Note: The odd man out is not based on the number of consonants/vowels or their position in the letter-cluster.)

Sumit starts from Point A and drives $28\text{ km}$ towards East. He then takes a left turn, drives $25\text{ km}$, turns left and drives $29\text{ km}$. He then takes a left turn and drives $27\text{ km}$. He takes a final left turn, drives $1\text{ km}$ and stops at Point P. How far (shortest distance) and towards which direction should he drive in order to reach Point A again? (All turns are 90-degree turns only unless specified.)

If 'P' stands for '×', 'Q' stands for '÷', 'R' stands for '$-$', and 'S' stands for '$+$', what will come in place of the question mark (?) in the following equation?

$$12 \text{ P } 9 \text{ S } (98 \text{ Q } 7) \text{ P } 3 \text{ R } 25 = ?$$

Refer to the following letter and symbol series and answer the question that follows.

(Left) M K * J & H ^ G % F $ D # S @ S ! Z + ? N (Right)

If all the letters are dropped from the series, which of the following will be ninth from the right?

Seven people, A, B, C, D, E, F and G, are sitting in a straight line, facing north. Only two people are sitting to the left of C. Only four people are sitting between F and E. B is sitting second to the right of C. B is not an immediate neighbour of A. D is sitting to the immediate right of C. F is sitting to the immediate right of A. How many people are sitting between A and D?

If 'A' stands for '+', 'B' stands for '×', 'C' stands for '÷' and 'D' stands for '-', what will come in place of the question mark (?) in the following equation?

67 C 3 B 19 C (84 A 2) D 6 = ?

Below are given two sets of numbers. In each set of numbers, a certain mathematical operation on first number results in the second number. Similarly, certain mathematical operation on second number results in the third number and so on. Which of the given options follows the same set of operations as in question?

(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 - Operations on 13 such as adding /subtracting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)

3 - 9 - 27 - 32;      4 - 16 - 48 - 53

Select the pair which follows the same pattern as that followed by the two pairs given below. Both pairs follow the same pattern.

LIF : HEB
WUH : SQD

Which of the following letter-number clusters will replace the question mark (?) in the given series to make it logically complete?

WOG 147, BKB 163, GGW 179, LCR 195, QYM 211, ?

In a certain code language,

'A + B' means 'A is the mother of B',
'A - B' means 'A is the brother of B',
'A × B' means 'A is the wife of B' and
'A ÷ B' means 'A is the father of B'.

How is A related to D if 'A ÷ B - C × D'?

Lalit starts from Point A and drives 75 km towards north. He then takes a left turn, drives 80 km, turns left and drives 85 km. He then takes a left turn and drives 89 km. He takes a final left turn, drives 10 km and stops at Point P. How far (shortest distance) and towards which direction should he drive in order to reach Point A again? (All turns are 90-degree turns only unless specified.)

In a certain code language, 'CROW' is coded as '9863' and 'WORK' is coded as '3289'. What is the code for 'K' in the given code language?

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) * £ 8 € @ 1 8 8 & 1 1 1 7 * 4 7 2 8 5 8 & (Right)

How many such symbols are there, each of which is immediately preceded by a number and also immediately followed by a number?

What should come in place of ? in the given series based on the English alphabetical order?

XGO, FOW, NWE, VEM, ?