Mathematics Diagnostic Tests

The Mathematics Diagnostic Tests by PLS Academy are designed to help students evaluate their preparation for entry tests, FSC exams, ECAT, NUST NET, and NTS exams. These tests cover key topics in algebra, calculus, trigonometry, geometry, and statistics, allowing students to identify strengths, weaknesses, and areas that require improvement. Detailed feedback after each test helps aspirants focus on weak concepts, enhance problem-solving skills, and plan targeted revision. Whether preparing for ECAT, NUST NET, NTS, or FSC Mathematics, these diagnostic tests enable students to track progress, strengthen skills, and optimize their preparation strategy to achieve top scores.

252

Created by PLSBOOST

Mathematics Diagnostic Test

Topic: Mathematics Diagnostic Test

Quiz Contains: 20 MCQs

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1 / 20

2 / 20

For an identity cot⁴+ cot²0 = cosec+0 – cosec⁴0, is:

2π

π /2

Non of these

3 / 20

The probability that a leap year selected at random will contain 53 sundays, is:

3/7

1/7

2/7

4 / 20

If the line segment obtained by joining any two points of a region lies entirely within the region is called:

Concave

Convex

Both A and B

None

5 / 20

What will be the volume of parallelepiped represented by the vectors u = 9i – 5j, v = 6i – 7j + k, w = i – k?

6 / 20

sin 15=?

√3 – 1 / 2√2

√3+1 / 2√2

√3 +1 / 2

√3 – 1 / 2

7 / 20

Sin^-1 (-x) =…….

– Sin-1x

Sin-¹ x

π – Sin-1 x

π – Sin x

8 / 20

If (|r|<1) then, (S_n =)

(frac{a_1 (1 – r^n)}{1-r})

(frac{a_1 (r^n – 1)}{1-r})

(frac{a_1 (r^n – 1)}{r-1})

(frac{a_1 (1 – r^n)}{r-1})

9 / 20

If A(-1,h), B(3,2) and C(7,3) are collinear, then h =?

-1

None of these

10 / 20

if y=a^x then y_n is equal to (where a>0,xxER)

a^x.Ina

a^nx.lna

a^x(lna)^n

a^nx(lna)^n

11 / 20

If h² and higher powers of ‘h’ are neglected then √1+2h/1-h

1-3/2h

1+3/2h

1-2/3h

1+2/3h

12 / 20

13 / 20

The conic ax²+2hxy+by+2gx+2fy+c=0 never represent a circle if:

a ≠ b. h ≠ 0

h ≠ 0

a=b

h = 0

14 / 20

2 sin² [a/2]=

1+cos a

1- cos a

1+sin a

1- sin a

15 / 20

Derivation of x3 w.r.t x2 is:

3x^2

None of these

16 / 20

17 / 20

If cos x=-1 then solution set is

{pi}

{pi+npi}

{pi+2npi, n€Z}

None of these

18 / 20

47. If the discriminant is negative, then the roots are:

(a) Real & distinct

(b) Imaginary & distinct

(d) Irrational and distinct

19 / 20

In any triangle ABC, with usual notation, which one of them is not true

∆ = 1/2 ab sinγ

∆ =1/2 bc sinα

∆ =1/2 α sin β γ/sin α

∆2 =s (s a)(s b)(s c)

20 / 20

360 students study at a school where 248 students study Turkish, 126 study Arabic, and 18 study neither. How many students study both Arabic and Turkish?

Your score is

Pos.	Name	Score	Duration
1	Anonymous	100 %	48 seconds
2	Muhammad Awais	100 %	51 seconds
3	Saad Khan	100 %	54 seconds
4	Shaista	100 %	55 seconds
5	osaid	100 %	2 minutes 41 seconds
6	ibraheem	95 %	50 seconds
7	Dawood	95 %	52 seconds
8	NONE	95 %	52 seconds
9	abdullah umar	95 %	56 seconds
10	Saad	95 %	1 minutes 1 seconds
11	abdullah umar	95 %	1 minutes 12 seconds
12	NONE\	90 %	51 seconds
13	NONE	90 %	56 seconds
14	Muhammad Awais	90 %	1 minutes 6 seconds
15	12345	90 %	1 minutes 11 seconds
16	Bilal	90 %	1 minutes 30 seconds
17	ibraheem	90 %	1 minutes 34 seconds
18	Taha	90 %	1 minutes 56 seconds
19	urwah	90 %	2 minutes 14 seconds
20	sddc	90 %	2 minutes 32 seconds
21	Ahmed Nafees	90 %	4 minutes 20 seconds
22	Maham	90 %	5 minutes 16 seconds
23	Dawood	85 %	1 minutes 10 seconds
24	Arib	85 %	1 minutes 20 seconds
25	Hello 2	85 %	1 minutes 23 seconds
26	sadi	85 %	1 minutes 47 seconds
27	nelson	85 %	1 minutes 56 seconds
28	Mudasir bangash	85 %	2 minutes 20 seconds
29	Saeed	85 %	2 minutes 46 seconds
30	dawood	80 %	1 minutes
31	RIDWAN	80 %	1 minutes 13 seconds
32	N	80 %	1 minutes 39 seconds
33	Talha	80 %	1 minutes 49 seconds
34	Najeeb Ahmed	80 %	1 minutes 52 seconds
35	Saif	75 %	57 seconds
36	urwah	75 %	1 minutes 31 seconds
37	Hi	75 %	1 minutes 37 seconds
38	Ahmad	75 %	1 minutes 38 seconds
39	NOONE	75 %	1 minutes 40 seconds
40	rida	75 %	1 minutes 47 seconds
41	Nimra	75 %	1 minutes 54 seconds
42	Ahmad faiz khan	75 %	2 minutes 21 seconds
43	Muhammmad yahya	75 %	2 minutes 26 seconds
44	ma	75 %	2 minutes 47 seconds
45	Muhammad Awais	75 %	3 minutes 5 seconds
46	Yasir	75 %	6 minutes 16 seconds
47	raomohib	75 %	31 minutes 2 seconds
48	uzair	75 %	34 minutes 30 seconds
49	Hhh	70 %	1 minutes 37 seconds
50	amna	70 %	1 minutes 41 seconds
51	Abdullah umar	70 %	1 minutes 58 seconds
52	Muhammad Essa Mahar	70 %	2 minutes 18 seconds
53	anand	70 %	3 minutes 5 seconds
54	mm alam	70 %	3 minutes 11 seconds
55	fjwkjsj	70 %	10 minutes 28 seconds
56	Muhammad Maaz khan	70 %	17 minutes 40 seconds
57	Jibrail	65 %	1 minutes 17 seconds
58	Noor	65 %	1 minutes 30 seconds
59	david	65 %	1 minutes 30 seconds
60	Muaz Rana	65 %	1 minutes 53 seconds
61	Adil	65 %	2 minutes 13 seconds
62	Hello	65 %	2 minutes 23 seconds
63	Tanoli Bilal	65 %	2 minutes 28 seconds
64	Abid ur Rahman	65 %	5 minutes 29 seconds
65	Azan	60 %	1 minutes 35 seconds
66	R	60 %	1 minutes 42 seconds
67	Sadia	60 %	2 minutes 21 seconds
68	Miqdam Haider	60 %	2 minutes 31 seconds
69	Azwa mudassar	60 %	4 minutes 59 seconds
70	Ibraheem	60 %	13 minutes 11 seconds
71	ggg	60 %	18 minutes 13 seconds
72	fatima	60 %	20 minutes 21 seconds
73	Asfg	60 %	22 minutes 59 seconds
74	op bolty	60 %	36 minutes 57 seconds
75	Nimra	60 %	50 minutes 28 seconds
76	Ayla Saeed	60 %	55 minutes 29 seconds
77	Ahmad Hassan	55 %	3 minutes 35 seconds
78	Ubaid	55 %	5 minutes 16 seconds
79	Mudasir Jamal	55 %	7 minutes 29 seconds
80	Soem	55 %	8 minutes 46 seconds
81	Muhammad Hamid	55 %	11 minutes 17 seconds
82	Taha	55 %	13 minutes 20 seconds
83	Mee	55 %	17 minutes 49 seconds
84	nemo	55 %	20 minutes 10 seconds
85	None	55 %	25 minutes 16 seconds
86	Maham	55 %	26 minutes 14 seconds
87	Uzair	55 %	28 minutes 36 seconds
88	Abdullah	55 %	41 minutes 29 seconds
89	nelson	55 %	3 hours 35 minutes 50 seconds
90	Noor	50 %	1 minutes 41 seconds
91	Hafsa	50 %	2 minutes 49 seconds
92	Zubaida	50 %	4 minutes 52 seconds
93	Ehsan shah	50 %	5 minutes 6 seconds
94	Safi	50 %	5 minutes 51 seconds
95	As	50 %	6 minutes 17 seconds
96	Sheraz	50 %	6 minutes 24 seconds
97	Iraj	50 %	7 minutes
98	rida	50 %	8 minutes 21 seconds
99	M Miqdam Haider	50 %	8 minutes 36 seconds
100	Mari	50 %	9 minutes 47 seconds
101	sadia	50 %	9 minutes 59 seconds
102	Najeeb Ahmed	50 %	10 minutes 36 seconds
103	Talha Bhatti	50 %	13 minutes 50 seconds
104	osaid	50 %	52 minutes 56 seconds
105	Dawood	45 %	27 seconds
106	GHULAM	45 %	1 minutes 58 seconds
107	Usama	45 %	2 minutes 5 seconds
108	iufudfud	45 %	2 minutes 9 seconds
109	Saif khan	45 %	2 minutes 56 seconds
110	Dileep	45 %	3 minutes 28 seconds
111	amna	45 %	3 minutes 47 seconds
112	..	45 %	4 minutes 20 seconds
113	Muaz Rana	45 %	6 minutes 14 seconds
114	Muhammmad yahya	45 %	6 minutes 22 seconds
115	Ahmad	45 %	7 minutes 34 seconds
116	Muhammad Ali	45 %	7 minutes 52 seconds
117	NONE OF YOU CONCERN	45 %	8 minutes 36 seconds
118	hi	45 %	9 minutes 5 seconds
119	Haroon	45 %	14 minutes 19 seconds
120	Raj rathi	45 %	17 minutes 17 seconds
121	anand	45 %	17 minutes 35 seconds
122	Hafeezullah	45 %	21 minutes 49 seconds
123	Adnanh	45 %	59 minutes 58 seconds
124	Hamza Jadoon	45 %	1 hours 2 minutes 30 seconds
125	Fawad Jillani	40 %	3 minutes 5 seconds
126	Haha	40 %	3 minutes 59 seconds
127	Huzaifa ali	40 %	4 minutes 28 seconds
128	Ahmad Ali	40 %	7 minutes 3 seconds
129	Maaz	40 %	7 minutes 52 seconds
130	ma	40 %	8 minutes 32 seconds
131	Kashif Iqbal	40 %	11 minutes 16 seconds
132	Fatima Ajmal	40 %	13 minutes 17 seconds
133	Najeeb Ahmed	40 %	13 minutes 40 seconds
134	jawad ahmed	40 %	13 minutes 50 seconds
135	TOUQEER ABBAS	40 %	14 minutes 22 seconds
136	.	40 %	15 minutes 19 seconds
137	rida	40 %	15 minutes 51 seconds
138	fawad	40 %	17 minutes 53 seconds
139	Saeed ullah shah	40 %	19 minutes 42 seconds
140	HIBA	35 %	37 seconds
141	Muhammad Momin Sajjad	35 %	1 minutes 50 seconds
142	Sadam Hussain	35 %	2 minutes 14 seconds
143	Amir	35 %	2 minutes 24 seconds
144	Jibrail	35 %	3 minutes 59 seconds
145	Haseeb	35 %	4 minutes 12 seconds
146	madiha	35 %	4 minutes 28 seconds
147	arhum	35 %	4 minutes 28 seconds
148	arya	35 %	6 minutes 1 seconds
149	Muhammad Awais	35 %	6 minutes 2 seconds
150	maaz	35 %	6 minutes 19 seconds
151	m	35 %	6 minutes 49 seconds
152	Furqan Ahmed	35 %	6 minutes 55 seconds
153	Muhammad saad ur rehman	35 %	7 minutes 15 seconds
154	Dawood	35 %	7 minutes 24 seconds
155	Nn	35 %	7 minutes 29 seconds
156	Azwa Mudassar	35 %	9 minutes 36 seconds
157	Wajiha	35 %	10 minutes 19 seconds
158	Ahmed Nafees	35 %	12 minutes 24 seconds
159	Fatima	35 %	12 minutes 38 seconds
160	sunila	35 %	13 minutes 13 seconds
161	Ayesha	35 %	13 minutes 53 seconds
162	Moiz	35 %	14 minutes 59 seconds
163	za	35 %	15 minutes 15 seconds
164	sded	35 %	16 minutes 7 seconds
165	Usman Malik	35 %	17 minutes 9 seconds
166	A.	35 %	17 minutes 33 seconds
167	YaSiR	35 %	24 minutes 13 seconds
168	Talha	35 %	25 minutes 12 seconds
169	eman	30 %	1 minutes 15 seconds
170	tashfeen	30 %	1 minutes 37 seconds
171	M Miqdam Haider	30 %	2 minutes 34 seconds
172	Abdullah umar	30 %	2 minutes 37 seconds
173	Muhammad Abu Zar	30 %	2 minutes 44 seconds
174	Rukhsh	30 %	2 minutes 46 seconds
175	Abdullah	30 %	2 minutes 52 seconds
176	Aniya	30 %	3 minutes 8 seconds
177	Ss	30 %	4 minutes 4 seconds
178	GHULAM JILANI	30 %	4 minutes 17 seconds
179	fiza	30 %	4 minutes 43 seconds
180	Rameez	30 %	4 minutes 44 seconds
181	Sohaib Hafeez	30 %	5 minutes 4 seconds
182	ahmar	30 %	5 minutes 34 seconds
183	Ubaid	30 %	5 minutes 54 seconds
184	Asma	30 %	6 minutes 15 seconds
185	Who cares	30 %	6 minutes 46 seconds
186	Arib	30 %	7 minutes 17 seconds
187	muhammad sohaib	30 %	8 minutes 10 seconds
188	Ahmad faiz khan	30 %	8 minutes 11 seconds
189	nemo	30 %	12 minutes 51 seconds
190	Faiq Waleed	30 %	12 minutes 52 seconds
191	y	30 %	16 minutes 32 seconds
192	Zeeshanjaat	30 %	18 minutes 43 seconds
193	ume ayesha	30 %	22 minutes 30 seconds
194	Ggfgh	30 %	23 minutes 33 seconds
195	PLSBOOST	25 %	33 seconds
196	M.FAIZAN SAFDAR	25 %	2 minutes 4 seconds
197	anaya noor	25 %	2 minutes 21 seconds
198	H	25 %	2 minutes 38 seconds
199	Dawood	25 %	2 minutes 43 seconds
200	Kashif	25 %	3 minutes 13 seconds
201	my	25 %	4 minutes 15 seconds
202	Iqra	25 %	4 minutes 25 seconds
203	hassan	25 %	4 minutes 30 seconds
204	Muhammad Taha Khalid	25 %	4 minutes 40 seconds
205	Saad Khan	25 %	5 minutes 13 seconds
206	Bial	25 %	5 minutes 24 seconds
207	urwah	25 %	5 minutes 31 seconds
208	Abdullah	25 %	5 minutes 38 seconds
209	Muhammad Moeen	25 %	6 minutes 33 seconds
210	Mari	25 %	6 minutes 54 seconds
211	malika	25 %	7 minutes 25 seconds
212	Sadia	25 %	9 minutes 19 seconds
213	Adil	25 %	10 minutes 5 seconds
214	adnan ashiq	25 %	10 minutes 7 seconds
215	ridwan	25 %	13 minutes 23 seconds
216	T	25 %	18 minutes 27 seconds
217	sadaf	25 %	27 minutes 34 seconds
218	groots	25 %	29 minutes 39 seconds
219	maliksubhan	20 %	1 minutes 30 seconds
220	R	20 %	2 minutes 23 seconds
221	Ayesha	20 %	2 minutes 44 seconds
222	Muhammad Ali	20 %	3 minutes
223	Hasnain	20 %	3 minutes 2 seconds
224	Muhammad Musa Shahid	20 %	3 minutes 34 seconds
225	Noor	20 %	4 minutes 3 seconds
226	Bilal	20 %	5 minutes 7 seconds
227	Hamza	20 %	6 minutes 19 seconds
228	kk	20 %	7 minutes 5 seconds
229	Mahad	20 %	8 minutes 5 seconds
230	Muhammad Essa Mahar	20 %	8 minutes 49 seconds
231	Wilayat Ali	20 %	9 minutes 53 seconds
232	Daniyal	20 %	26 minutes 24 seconds
233	anaya noor	15 %	1 minutes 19 seconds
234	Annu	15 %	2 minutes 35 seconds
235	Elsa	15 %	2 minutes 57 seconds
236	R	15 %	2 minutes 58 seconds
237	Bilal	15 %	3 minutes 44 seconds
238	Abdullah abbas	15 %	4 minutes 7 seconds
239	Safi ullah	15 %	5 minutes 22 seconds
240	Abid ur Rahman	15 %	8 minutes 34 seconds
241	Talha	10 %	2 minutes 21 seconds
242	Fatima Navaid	5 %	47 seconds
243	MUHAMMAD ABDULLAH	5 %	51 seconds
244	Amina	5 %	2 minutes 2 seconds
245	anaya noor	5 %	3 minutes
246	Name	5 %	8 minutes 3 seconds
247	abdullah umar	0 %	19 seconds
248	ISRAR ALI	0 %	25 seconds
249	azan ali shah	0 %	27 seconds
250	Mahamfaryad	0 %	54 seconds
251	Alisha noor	0 %	1 minutes 9 seconds
252	Umer	0 %	1 minutes 29 seconds

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Mathematics Diagnostic Tests

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