**RRB NTPC Expected Questions PDF**

Download RRB NTPC Expected Questions and Answers PDF. Top 15 RRB NTPC Expected questions based on asked questions in previous exam papers very important for the Railway NTPC exam.

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**Question 1: **If $f(x) =x^2 -ax-4x+2(5a-23)$, for what value of $a$ will the sum of squares of the roots of the equation $f(x)$ be minimum ?

**Question 2: **If $U^{2}+(U-2V-1)^{2}$= −$4V(U+V)$ , then what is the value of $U+3V$ ?

a) $0$

b) $\dfrac{1}{2}$

c) $\dfrac{-1}{4}$

d) $\dfrac{1}{4}$

**Question 3: **Roots of the quadratic equation $px^2 + p^2(x + 1) – 4p = 0$ are reciprocal to each other. How many values of $p$ are possible?

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**Instructions**

Change the voice

**Question 4: **You will have finished this work by tomorrow

a) This work will have been finished tomorrow

b) This work will be finished by tomorrow

c) This work will finished tomorrow

d) This work will have been finished by tomorrow

**Question 5: **Mona was writing a letter to her father

a) A letter was written to her father

b) A letter was been written to her father by Mona

c) A letter was being written by Mona to her father

d) A letter was written by mona to her father

**Question 6: **Complete the following analysis by choosing a word from the given options:

Tea : Leaves : : Coffee : ?

a) Leaves

b) Seeds

c) Plants

d) Beverage

**Question 7: **I wasn’t really listening and didn’t ……. What he said.

a) Catch

b) Receive

c) Accept

d) Take

**Question 8: **Ajay ranked sixteenth form the top and twenty-ninth from the bottom among those who passed the examination. Six boys did not participate in the competition and five failed in it. How many boys were there in the class ?

a) 44

b) 50

c) 40

d) 55

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**Question 9: **The aspect of Railway Police is incorporated in the.

a) Union List

b) Concurrent List

c) State List

d) Residuary List

**Question 10: **What is the slogan of Indian Railways?

a) Lifeline of the nation

b) Serving to empower

c) Support all the way

d) Serving people of the nation

**Question 11: **What comes in the place of ?

11:17::29:?

a) 41

b) 31

c) 37

d) 33

**Question 12: **Which of the following options will bear the same relationship as the words given in the first part of the question?

Brazil : Itaipu :: China : ?

a) Hoover dam

b) Three gorges dam

c) Grand Coulee dam

d) Longtan dam

**Question 13: **If CARTEL is coded as BBQSFK, what will be FUTILE coded as?

a) ETSJKF

b) EVSJKF

c) EVSHKF

d) ETSJKD

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**Question 14: **If ‘WANTON’is coded as ‘AWNTNO’ and ‘SPURGE’ is coded as ‘PSRUEG’, then what is the code of ‘GENTLE’?

a) EGNTLE

b) EGNTEL

c) GETNEL

d) EGTNEL

**Question 15: **Arrange the following words as per order in the dictionary.

1: mild

2: militant

3: milieu

4: mindless

5: military

a) 1, 3, 5, 2, 4

b) 3, 1, 2, 4, 5

c) 1, 3, 2, 5, 4

d) 3, 1, 5, 2, 4

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**Answers & Solutions:**

**1) Answer: 6**

$f(x) =x^2-ax-4x-4(5a-23)$

Let $p$ and $q$ be the roots of the equation.

From the given equation, we can see that $p+q = \dfrac{a+4}{1} = a+4$

Also we can see, $pq = \dfrac{2(5a-23)}{1} = 10a-46$

Now, $p^2+q^2 = p^2+q^2+2pq-2pq = (p+q)^2-2pq $

Putting the values of (p+q) and (pq),

$p^2+q^2 = (a+4)^2-(2)(10a-46) $

$\Rightarrow p^2+q^2 = a^2+8a+16-(20a-92) $

$\Rightarrow p^2+q^2 = a^2+8a+16-20a+92 $

$\Rightarrow p^2+q^2 = a^2-12a+108$

To find the minimum value of this expression, we use completing the square method.

$\Rightarrow p^2+q^2 = a^2-12a+36-36+108$

$\Rightarrow p^2+q^2 = (a^2-12a+36)-36+108$

$\Rightarrow p^2+q^2 = (a-6)^2+72$

The least value of the square term will be 0, when a-6=0 => a=6.

**2) Answer (C)**

Given that $U^{2}+(U-2V-1)^{2}$= −$4V(U+V)$

$\Rightarrow$ $U^{2}+(U^2-2UV-U-2UV+4V^2+2V-U+2V+1)$ = −$4V(U+V)$

$\Rightarrow$ $U^{2}+(U^2-4UV-2U+4V^2+4V+1)$ = −$4V(U+V)$

$\Rightarrow$ $2U^2-4UV-2U+4V^2+4V+1=−4UV-4V^2$

$\Rightarrow$ $2U^2-2U+8V^2+4V+1=0$

$\Rightarrow$ $2[U^2-U+\dfrac{1}{4}]+8[V^2+\dfrac{V}{2}+\dfrac{1}{16}]=0$

$\Rightarrow$ $2(U-\dfrac{1}{2})^2+8(V+\dfrac{1}{4})^2=0$

Sum of two square terms is zero i.e. individual square term is equal to zero.

$U-\dfrac{1}{2}$ = 0 and $V+\dfrac{1}{4}$ = 0

U = $\dfrac{1}{2}$ and V = $-\dfrac{1}{4}$

Therefore, $U+3V$ = $\dfrac{1}{2}$+$\dfrac{-1*3}{4}$ = $\dfrac{-1}{4}$. Hence, option C is the correct answer.

**3) Answer: 1**

Since the roots are reciprocal to each other , product of roots must be equal to 1.

Writing the given equation as $px^2 + p^2x + p^2-4p$ = 0

So, $\frac{p^2 – 4p}{p}$ = 1

or, $p^2 – 5p$ = 0

Solving this equation, we get roots as $p$ = 0 and $p$ = 5

But, $p$ cannot be 0 because then the given equation would not be quadratic. Hence, only one value of $p$ is possible

**4) Answer (D)**

In the passive voice, “the work” becomes the subject. The tense remains the same. Hence, D is the right answer.

**5) Answer (C)**

In passive voice, “letter” becomes the subject of the sentence. The tense of the sentence has to stay the same. Hence C is the correct answer.

**6) Answer (B)**

Tea is prepared from cured tea leaves. Similarly, coffee is prepared from roasted coffee beans.

**7) Answer (A)**

Catch means to capture or get something and here the person didn’t get what was being said.Receive is incorrect because nothing was given here to be received.Thus, option A is correct.

**8) Answer (D)**

There are 15 boys ahead of Ajay. 28 boys behind Ajay. Ajay was also in the competition and 6 didn’t participate and 5 failed.

So, total = 15 + 28 + 1 + 6 + 5 = 55

**9) Answer (C)**

**10) Answer (A)**

**11) Answer (C)**

Alternate prime number after 11 leaving 13 is 17

Similarly alternate prime number after 29 leaving 31 is 37

**12) Answer (B)**

Itaipu is the largest dam in Brazil. Similarly, 3 gorges is the largest dam in China (and the world).

**13) Answer (B)**

C – 1 – B

A + 1 – B

R – 1 – Q

T – 1 – S

E + 1 – F

L – 1 – K

As we can see, vowels are replaced by the letter immediately following them and consonants are replaced by the letter immediately preceding them. Using the same logic,

F will be coded as E.

U will be coded as V.

T will be coded as S.

I will be coded as J.

L will be coded as K.

E will be coded as F.

Therefore, FUTILE will be coded as EVSJKF. Hence, option B is the right answer.

**14) Answer (B)**

The words are paired from the left and each pair is arranged in ascending order.

Thus,

WANTON = AW |NT |NO

SPURGE = PS |RU |EG

GENTEL = EG | NT | EL

**15) Answer (C)**

Following is the correct order of words as found in dictionary-

mild, milieu, militant, military, mindless

Hence, option C is the right answer.

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