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

2 / 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})

3 / 20

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

(a) Real & distinct

(b) Imaginary & distinct

(d) Irrational and distinct

4 / 20

Derivation of x3 w.r.t x2 is:

3x^2

None of these

5 / 20

Sin^-1 (-x) =…….

– Sin-1x

Sin-¹ x

π – Sin-1 x

π – Sin x

6 / 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?

7 / 20

sin 15=?

√3 – 1 / 2√2

√3+1 / 2√2

√3 +1 / 2

√3 – 1 / 2

8 / 20

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

-1

None of these

9 / 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

10 / 20

11 / 20

If cos x=-1 then solution set is

{pi}

{pi+npi}

{pi+2npi, n€Z}

None of these

12 / 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

13 / 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

14 / 20

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

3/7

1/7

2/7

15 / 20

2 sin² [a/2]=

1+cos a

1- cos a

1+sin a

1- sin a

16 / 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

17 / 20

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

2π

π /2

Non of these

18 / 20

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

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

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

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Mathematics Diagnostic Tests

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