Vice Principal & Principal 2026 — 5,847 explained questions, 18 chapters and 13 full papers for the DoE Delhi CRT.Start reading
Principal Sarathi VP & Principal 2026

Mock paper 10 — The Numbers Paper

A full-length mock test for the UPSC Combined Recruitment Test for Vice Principal and Principal, Directorate of Education, Delhi. 120 questions on the measured shape of the 11 December 2022 paper, scored on the real formula, every answer explained afterwards.

120questions, every one explained
300marks · 2.5 each
−0.83a wrong answer
72multi-statement, matching or A–R items

Sit this mock test All 11 mock tests

What is in this paper

QuestionsCountSection
Q1–Q1212Quantitative Aptitude & Reasoning — I
Q13–Q2614Educational Statistics
Q27–Q4014Language — English and हिंदी
Q41–Q488GK & contemporary
Q49–Q6416Administration, Finance, Office Procedure & Digital Literacy
Q65–Q728Pedagogy in Education
Q73–Q8412Quantitative Aptitude & Reasoning — II
Q85–Q12036Measurement & Evaluation, Policy & School Law

Composition, counted item by item

Not a target — the actual split of the 120 questions in this paper, counted from the paper itself.

ClusterQuestionsMarksShare
Measurement, Evaluation & Statistics4010033.3%
Reasoning & Quantitative Aptitude246020.0%
English & Hindi language143511.7%
GK, polity & current affairs8206.7%
Digital literacy8206.7%
Pedagogy in Education8206.7%
Education policy & schemes6155.0%
Management & Financial administration512.54.2%
Education & child-rights law4103.3%
Office Procedure37.52.5%

Question formats

The real paper is mostly not plain single-correct, and neither is this one.

FormatQuestions
Plain single-correct56
Multi-statement ("how many are correct")34
Statement-I and Statement-II12
Match the following7
Assertion and Reason5
Data sufficiency3
Sequencing3

How to sit it

  1. One sitting, two hours, phone face down. A mock taken in pieces measures nothing. Mark every question you guessed.
  2. Score it with the real formula — `2.5 × correct − (2.5/3) × wrong`. The number that matters is not what you knew; it is what you *kept* after the penalty.
  3. Keep a rough sheet and a steady hand. More than half of this paper is computation. The marks go to the candidate who sets the working out cleanly, not the one who does it fastest in his head.
  4. Then read every explanation, including for the questions you got right. Each item names the trap it was built on and the chapter that teaches it, so a wrong answer converts straight into a revision instruction.

What your score means

Raw score / 300Reading
220+Ahead of the curve. Protect it with revision-sheet passes; do not chase new material.
190–219On target. The 200–225 band is the reasoned estimate for a comfortable General-category interview call.
150–189Close. Your marks are almost certainly leaking through negative marking rather than ignorance — check your wrong-answer count against your guess count.
Below 150Go back to chapters, not to more mocks. A second mock before revision teaches nothing the first did not.

Score bands are our reasoned estimate. UPSC publishes no cut-off for this recruitment, and nobody who tells you one has it.

Three questions from this paper, solved

Every one of the 120 items is written this way — the answer, and why each of the other three options is wrong.

Q46

Consider the following statements: Assertion (A): In the PARAKH Rashtriya Sarvekshan, average attainment in language and mathematics falls as one moves from Grade 3 to Grade 6 and again from Grade 6 to Grade 9. Reason (R): The survey is conducted in Grades 3, 6 and 9, the grade list having been redesigned from the National Achievement Survey's Grades 3, 5, 8 and 10 so as to align it with the stages of the 5+3+3+4 structure of the National Education Policy 2020. Which one of the following is correct in respect of the above statements?

  1. (a) Both A and R are true, and R is the correct explanation of A.
  2. (b) Both A and R are true, but R is not the correct explanation of A.
  3. (c) A is true, but R is false.
  4. (d) A is false, but R is true.
Answer (b).

(b) is correct: both statements are true, but R is not the explanation of A. A is true. The survey's own headline finding is that the foundational stage is doing comparatively well while average scores decline across the higher stages, the deficits being sharpest in mathematics and science at the upper end. R is also true: the survey moved from the National Achievement Survey's Grades 3, 5, 8 and 10 to Grades 3, 6 and 9 precisely in order to align the testing points with the stages of the 5+3+3+4 design. Note the alignment carefully, because it is the one thing candidates get wrong here: under that design the Foundational Stage runs to Grade 2, the Preparatory Stage covers Grades 3 to 5, the Middle Stage Grades 6 to 8 and the Secondary Stage Grades 9 to 12. Grades 3, 6 and 9 are therefore the OPENING grades of the preparatory, middle and secondary stages — a child is tested on what the stage just behind him was supposed to deliver. That is how the Ministry puts it: the survey assesses the competencies developed "at the end of foundational, preparatory and middle stages (i.e., students currently in 3rd, 6th and 9th Grades)" (PIB, 3 December 2024). But R explains the choice of grades, not the shape of the result. It says why those three grades were picked; it says nothing about why children do worse in the later two. A statement that fixes the sampling frame cannot, by itself, account for a finding about attainment within that frame — the causes offered for the decline are of a different kind altogether: cumulative unaddressed gaps in foundational learning, the widening abstraction of the curriculum, and subject-teacher shortages at the middle and secondary stages. (a) is the option most candidates take, because both sentences are true and both mention the same three grades. Shared vocabulary is not explanation, and in this format the whole question is whether R accounts for A. (c) would require R to be false. R claims only that the grade list was redesigned to align with the NEP stages, which is exactly what happened. Read the grade list precisely: the stages end at Grades 2, 5 and 8, and the survey tests children just after, in Grades 3, 6 and 9, on what those stages were meant to deliver. (d) would require A to be false; the grade-wise decline is the survey's own central reported finding. Observe that no score, sample size or round-specific number is used: the direction of the finding is what is stable and examinable, not the figures attached to any one round. Trap: ch09 — in an assertion-reason item, establish the truth of each statement first and then ask, separately, whether the second is the cause of the first. A reason that is true and on the same subject is still not an explanation.

Q118

The stages below occur, in the usual practice of a school discharging its duties under the Rights of Persons with Disabilities Act, 2016, when a child suspected of having a disability is referred for formal assessment. Arrange them in their logical order: (i) A certificate of disability is issued by the notified certifying authority, recording whether the disability is of benchmark degree. (ii) The class teacher records the specific difficulties shown in the child's classroom work and reports them to the head of school. (iii) The school puts formally in place the individualised support and the concessions that the certified entitlement carries. (iv) The child is referred, with the parents' consent, to the notified certifying authority for formal assessment. (v) The head of school has the child screened by the special educator attached to the school, and interim classroom accommodation is given meanwhile. Select the correct answer using the code given below:

  1. (a) (ii), (v), (iv), (i), (iii)
  2. (b) (ii), (iv), (v), (i), (iii)
  3. (c) (v), (ii), (i), (iv), (iii)
  4. (d) (ii), (v), (i), (iv), (iii)
Answer (a).

Method. Fix the earliest and the latest stage first; most wrong codes die there. Note that the Act lays down duties (Section 16), free education for children with benchmark disabilities (Section 31) and certification (Sections 57–58), but no referral sequence; the order below is the one those duties make logical.

The chain begins inside the classroom. Section 16 of the RPWD Act, 2016 puts on every government-funded or recognised institution the duty to detect specific learning disabilities early and to monitor each child's participation and progress. So the first move is the class teacher's own record of what the child cannot do, reported to the head — (ii).

The head then has the child screened by the special educator; and, importantly, the school does not wait for any certificate before adjusting its teaching. Accessibility and reasonable accommodation are owed under Section 16 to a child with a disability whether or not a certificate exists — (v).

Only then, and with the parents' consent, does the child go outside the school, to the notified certifying authority, for formal assessment — (iv). That authority, not the school, decides the question and issues the certificate, recording whether the disability reaches the benchmark degree of not less than 40 per cent — (i).

The certificate then settles the child's statutory entitlements, including free education in a neighbourhood or special school from 6 to 18 years under Section 31, and the school puts the support those entitlements carry formally in place — (iii).

The order is (ii), (v), (iv), (i), (iii).

(b) sends the child out for formal assessment before the school has screened him at all, which both wastes the certifying authority's time and postpones the classroom help the child is already owed. (c) starts with the special educator rather than the class teacher — the teacher is the person who sees the child daily and first observes the difficulty; the Section 16 duty of early detection rests on the institution, which acts through that teacher — and then has a certificate issued before any assessment has been made. (d) puts the certificate before the referral, which reverses cause and effect: a certificate is the output of an assessment, not its trigger.

Trap: ch06 — a certificate of disability records an assessment; it does not create the school's duties. Reasonable accommodation, accessibility and individualised support under Section 16 are owed from the moment a difficulty is detected, and a school that withholds them until the certificate arrives is already in breach.

Q43

Four instruments report on school education in India. Match each one in List-I with the kind of number it actually yields, in List-II, and select the correct answer using the code given below the Lists:

List-I (Instrument) List-II (What the instrument yields)
A. ASER 1. Counts of schools, pupils, teachers and facilities, compiled from the return that every recognised school files for itself
B. PARAKH Rashtriya Sarvekshan 2. A single composite score out of 600 points, from which a grade band is assigned to a district
C. UDISE+ 3. The proportion of children who have reached each level of reading and of arithmetic, each child being tested individually
D. PGI-D 4. An average competency score for a learning stage — Grade 3, Grade 6 or Grade 9 — reported for the district, the State and the nation

Code:

  1. (a) A-1, B-3, C-2, D-4
  2. (b) A-2, B-4, C-1, D-3
  3. (c) A-3, B-4, C-1, D-2
  4. (d) A-4, B-2, C-3, D-1
Answer (c).

A-3, B-4, C-1, D-2. Each instrument yields a different kind of number, and that, rather than the round year or the sample size, is what stays true from edition to edition. ASER tests one child at a time and reports levels: what proportion of children can read a Std II text, what proportion can do division. PARAKH Rashtriya Sarvekshan, the successor to the National Achievement Survey, yields an average competency score for a whole learning stage — it is sampled at Grades 3, 6 and 9 and reports upward, to district, State and nation, never to the individual pupil. UDISE+ yields no score at all: it is an administrative return from which counts are compiled. PGI-D yields neither a count nor a score of learning but a composite out of 600 points, from which the district's grade band follows. (a) maps A-1, B-3, C-2, D-4: it makes ASER the source of school and teacher counts, hands the individual child's reading level to PARAKH Rashtriya Sarvekshan, and turns the school return into the 600-point composite — the error of forgetting that UDISE+ yields no score of any kind. (b) maps A-2 and D-3: it hands ASER the district composite and makes the grading index the source of child-level reading levels, collapsing a derived index into a survey. (d) maps A-4, B-2, C-3, D-1: not a swap of one pair but a four-way rotation, in which every limb has moved one place round. It gives ASER the stage-average score that belongs to PARAKH Rashtriya Sarvekshan, hands PARAKH the 600-point district composite that belongs to PGI-D, attaches the individual child's reading level to UDISE+, which yields no learning number of any kind, and leaves the school's own return with PGI-D. The first of those moves is the commonest confusion of the four, because ASER and PARAKH Rashtriya Sarvekshan both report on learning. The two that yield learning numbers are also the two with different owners: ASER is brought out by Pratham, a non-governmental organisation, and is a household survey, so it reaches children enrolled in no school at all; PARAKH Rashtriya Sarvekshan is the government's own, run by PARAKH, an independent constituent unit of the NCERT, in sampled schools. No round year, sample size or headline percentage is used here, and none should be: those move with every release. Trap: ch09 — do not mix PGI-D (districts, 600 points) with the State/UT index (1,000 points), and do not expect a system-level survey score to attach to any named child: PARAKH Rashtriya Sarvekshan reports stages and districts, not pupils.

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11 full-length mock tests, both real 2022 papers solved, and 5,847 explained questions written for this exam.

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