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.

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Created by PLSBOOST

Mathematics Diagnostic Test

Topic: Mathematics Diagnostic Test

Quiz Contains: 20 MCQs

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1 / 20

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

(a) Real & distinct

(b) Imaginary & distinct

(d) Irrational and distinct

2 / 20

If cos x=-1 then solution set is

{pi}

{pi+npi}

{pi+2npi, n€Z}

None of these

3 / 20

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

2π

π /2

Non of these

4 / 20

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

-1

None of these

5 / 20

Sin^-1 (-x) =…….

– Sin-1x

Sin-¹ x

π – Sin-1 x

π – Sin x

6 / 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)

7 / 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})

8 / 20

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

9 / 20

10 / 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

11 / 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

12 / 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

13 / 20

14 / 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?

15 / 20

sin 15=?

√3 – 1 / 2√2

√3+1 / 2√2

√3 +1 / 2

√3 – 1 / 2

16 / 20

2 sin² [a/2]=

1+cos a

1- cos a

1+sin a

1- sin a

17 / 20

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

3/7

1/7

2/7

18 / 20

19 / 20

Derivation of x3 w.r.t x2 is:

3x^2

None of these

20 / 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

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

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Mathematics Diagnostic Tests

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